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GCSE (9-1) Mathematics
SPECIMEN PAPERS SET 1 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics (1MA1)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
ii
Contents
Introduction 1
General marking guidance 3
Paper 1F – specimen paper and mark scheme 7
Paper 2F – specimen paper and mark scheme 33
Paper 3F – specimen paper and mark scheme 65
Paper 1H – specimen paper and mark scheme 91
Paper 2H – specimen paper and mark scheme 117
Paper 3H – specimen paper and mark scheme 149
References to third party materials in these specimen papers are made in good faith.
Pearson does not endorse, approve or accept responsibility for the content of materials,
which may be subject to change, or any opinions expressed therein. (Material may include
textbooks, journals, magazines and other publications and websites.)
All information in this document is correct at time of publication.
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
11Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Introduction
These specimen papers have been produced to complement the sample assessment materials for Pearson Edexcel Level 1/ Level 2 GCSE (9-1) in Mathematics and are designed to provide extra practice for your students. The specimen papers are part of a suite of support materials offered by Pearson.
The specimen papers do not form part of the accredited materials for this qualification.
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
22 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
33Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
General marking guidance These notes offer general guidance, but the specific notes for examiners appertaining to individual questions take precedence. 1 All candidates must receive the same treatment. Examiners must mark the last
candidate in exactly the same way as they mark the first.
Where some judgement is required, mark schemes will provide the principles by which marks will be awarded; exemplification/indicative content will not be exhaustive.
2 All the marks on the mark scheme are designed to be awarded; mark schemes
should be applied positively. Examiners should also be prepared to award zero marks if the candidate’s response is not worthy of credit according to the mark scheme. If there is a wrong answer (or no answer) indicated on the answer line always check the working in the body of the script (and on any diagrams), and award any marks appropriate from the mark scheme.
Questions where working is not required: In general, the correct answer should be given full marks. Questions that specifically require working: In general, candidates who do not show working on this type of question will get no marks – full details will be given in the mark scheme for each individual question.
3 Crossed out work
This should be marked unless the candidate has replaced it with an alternative response.
4 Choice of method If there is a choice of methods shown, mark the method that leads to the answer given on the answer line.
If no answer appears on the answer line, mark both methods then award the lower number of marks.
5 Incorrect method
If it is clear from the working that the “correct” answer has been obtained from incorrect working, award 0 marks. Send the response to review for your Team Leader to check.
6 Follow through marks
Follow through marks which involve a single stage calculation can be awarded without working as you can check the answer, but if ambiguous do not award. Follow through marks which involve more than one stage of calculation can only be awarded on sight of the relevant working, even if it appears obvious that there is only one way you could get the answer given.
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
44 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
7 Ignoring subsequent work It is appropriate to ignore subsequent work when the additional work does not change the answer in a way that is inappropriate for the question or its context. (eg. an incorrectly cancelled fraction when the unsimplified fraction would gain full marks). It is not appropriate to ignore subsequent work when the additional work essentially makes the answer incorrect (eg. incorrect algebraic simplification).
8 Probability
Probability answers must be given as a fraction, percentage or decimal. If a candidate gives a decimal equivalent to a probability, this should be written to at least 2 decimal places (unless tenths). Incorrect notation should lose the accuracy marks, but be awarded any implied method marks. If a probability answer is given on the answer line using both incorrect and correct notation, award the marks. If a probability fraction is given then cancelled incorrectly, ignore the incorrectly cancelled answer.
9 Linear equations
Unless indicated otherwise in the mark scheme, full marks can be gained if the solution alone is given on the answer line, or otherwise unambiguously identified in working (without contradiction elsewhere). Where the correct solution only is shown substituted, but not identified as the solution, the accuracy mark is lost but any method marks can be awarded (embedded answers).
10 Range of answers
Unless otherwise stated, when an answer is given as a range (e.g 3.5 – 4.2) then this is inclusive of the end points (e.g 3.5, 4.2) and all numbers within the range.
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
55Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Guidance on the use of abbreviations within this mark scheme
M method mark awarded for a correct method or partial method P process mark awarded for a correct process as part of a problem solving question A accuracy mark (awarded after a correct method or process; if no method or
process is seen then full marks for the question are implied but see individual mark schemes for more details)
C communication mark B unconditional accuracy mark (no method needed) oe or equivalent cao correct answer only ft follow through (when appropriate as per mark scheme) sc special case dep dependent (on a previous mark) indep independent awrt answer which rounds to isw ignore subsequent working
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
66 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Centre Number Candidate Number
Write your name hereSurname Other names
Total Marks
Paper Reference
Turn over
S49815A©2015 Pearson Education Ltd.
6/6/6/
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MathematicsPaper 1 (Non-Calculator)
Foundation TierSpecimen Papers Set 1
Time: 1 hour 30 minutes 1MA1/1FYou must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser.
Instructions
• Use black ink or ball-point pen.• Fill in the boxes at the top of this page with your name, centre number and candidate number.• Answer all questions.• Answer the questions in the spaces provided
– there may be more space than you need.• Calculators may not be used.• Diagrams are NOT accurately drawn, unless otherwise indicated.• You must show all your working out.
Information
• The total mark for this paper is 80• The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
• Read each question carefully before you start to answer it.• Keep an eye on the time.• Try to answer every question.• Check your answers if you have time at the end.
Pearson EdexcelLevel 1/Level 2 GCSE (9 - 1)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
77Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Centre Number Candidate Number
Write your name hereSurname Other names
Total Marks
Paper Reference
Turn over
S49815A©2015 Pearson Education Ltd.
6/6/6/
*S49815A0120*
MathematicsPaper 1 (Non-Calculator)
Foundation TierSpecimen Papers Set 1
Time: 1 hour 30 minutes 1MA1/1FYou must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser.
Instructions
• Use black ink or ball-point pen.• Fill in the boxes at the top of this page with your name, centre number and candidate number.• Answer all questions.• Answer the questions in the spaces provided
– there may be more space than you need.• Calculators may not be used.• Diagrams are NOT accurately drawn, unless otherwise indicated.• You must show all your working out.
Information
• The total mark for this paper is 80• The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
• Read each question carefully before you start to answer it.• Keep an eye on the time.• Try to answer every question.• Check your answers if you have time at the end.
Pearson EdexcelLevel 1/Level 2 GCSE (9 - 1)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
88 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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5 Work out (–3)3
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(Total for Question 5 is 1 mark)
6 Here are four cards. There is a number on each card.
4 5 2 1
(a) Write down the largest 4-digit even number that can be made using each card only once.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (2)
(b) Write down all the 2-digit numbers that can be made using these cards.
(2)
(Total for Question 6 is 4 marks)
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Answer ALL questions.
Write your answers in the spaces provided.
You must write down all the stages in your working.
1 Change 530 centimetres into metres.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . metres
(Total for Question 1 is 1 mark)
2 How many minutes are there in 314
hours?
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . minutes
(Total for Question 2 is 1 mark)
3 Write 4.4354 correct to 2 decimal places.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 3 is 1 mark)
4 Write 0.9 as a percentage.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .%
(Total for Question 4 is 1 mark)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
99Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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5 Work out (–3)3
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 5 is 1 mark)
6 Here are four cards. There is a number on each card.
4 5 2 1
(a) Write down the largest 4-digit even number that can be made using each card only once.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (2)
(b) Write down all the 2-digit numbers that can be made using these cards.
(2)
(Total for Question 6 is 4 marks)
2
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Answer ALL questions.
Write your answers in the spaces provided.
You must write down all the stages in your working.
1 Change 530 centimetres into metres.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . metres
(Total for Question 1 is 1 mark)
2 How many minutes are there in 314
hours?
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . minutes
(Total for Question 2 is 1 mark)
3 Write 4.4354 correct to 2 decimal places.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 3 is 1 mark)
4 Write 0.9 as a percentage.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .%
(Total for Question 4 is 1 mark)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
1010 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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8 Bernard says, “When you halve a whole number that ends in 8, you always get a number that ends in 4”
(a) Write down an example to show that Bernard is wrong.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
Alice says, “Because 7 and 17 are both prime numbers, all whole numbers that end in 7 are prime numbers.”
(b) Is Alice correct? You must give a reason with your answer.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 8 is 2 marks)
9 Work out 247 × 63
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 9 is 3 marks)
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7 The table shows information about the sports some students like best.
Hockey Tennis Football Golf
Boys 3 8 15 9
Girls 6 14 7 1
Draw a suitable diagram or chart for this information.
(Total for Question 7 is 4 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
1111Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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8 Bernard says, “When you halve a whole number that ends in 8, you always get a number that ends in 4”
(a) Write down an example to show that Bernard is wrong.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
Alice says, “Because 7 and 17 are both prime numbers, all whole numbers that end in 7 are prime numbers.”
(b) Is Alice correct? You must give a reason with your answer.
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(1)
(Total for Question 8 is 2 marks)
9 Work out 247 × 63
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 9 is 3 marks)
4
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7 The table shows information about the sports some students like best.
Hockey Tennis Football Golf
Boys 3 8 15 9
Girls 6 14 7 1
Draw a suitable diagram or chart for this information.
(Total for Question 7 is 4 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
1212 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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11 Complete the two-way table.
blue eyes brown eyes green eyes total
boys 5 4 12
girls 7
total 9 30
(Total for Question 11 is 3 marks)
12 There are 28 red pens and 84 black pens in a bag.
Write down the ratio of the number of red pens to the number of black pens. Give your ratio in its simplest form.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 12 is 2 marks)
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10 An American airline has a maximum size for bags on its planes. The diagram shows the maximum dimensions.
height 22 inches
width 14 inches
depth 9 inches
Chris has a bag.
It has height 50 cm width 40 cm depth 20 cm
1 inch = 2.54 cm
Can Chris take this bag on the plane? You must show your working.
(Total for Question 10 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
1313Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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11 Complete the two-way table.
blue eyes brown eyes green eyes total
boys 5 4 12
girls 7
total 9 30
(Total for Question 11 is 3 marks)
12 There are 28 red pens and 84 black pens in a bag.
Write down the ratio of the number of red pens to the number of black pens. Give your ratio in its simplest form.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 12 is 2 marks)
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10 An American airline has a maximum size for bags on its planes. The diagram shows the maximum dimensions.
height 22 inches
width 14 inches
depth 9 inches
Chris has a bag.
It has height 50 cm width 40 cm depth 20 cm
1 inch = 2.54 cm
Can Chris take this bag on the plane? You must show your working.
(Total for Question 10 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
1414 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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14 A unit of gas costs 4.2 pence.
On average Ria uses 50.1 units of gas a week. She pays for the gas she uses in 13 weeks.
(a) Work out an estimate for the amount Ria pays.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (3)
(b) Is your estimate to part (a) an underestimate or an overestimate? Give a reason for your answer.
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(1)
(Total for Question 14 is 4 marks)
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13 Here is a sequence of patterns made with grey square tiles and white square tiles.
pattern number pattern number pattern number 1 2 3
(a) In the space below, draw pattern number 4
(1)
(b) Find the total number of tiles in pattern number 20
... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (2)
(c) Write an expression, in terms of n, for the number of grey tiles in pattern number n.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (2)
(Total for Question 13 is 5 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
1515Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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14 A unit of gas costs 4.2 pence.
On average Ria uses 50.1 units of gas a week. She pays for the gas she uses in 13 weeks.
(a) Work out an estimate for the amount Ria pays.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (3)
(b) Is your estimate to part (a) an underestimate or an overestimate? Give a reason for your answer.
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(1)
(Total for Question 14 is 4 marks)
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13 Here is a sequence of patterns made with grey square tiles and white square tiles.
pattern number pattern number pattern number 1 2 3
(a) In the space below, draw pattern number 4
(1)
(b) Find the total number of tiles in pattern number 20
... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (2)
(c) Write an expression, in terms of n, for the number of grey tiles in pattern number n.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (2)
(Total for Question 13 is 5 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
1616 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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16
10 cm
2 cm
2 cm
8 cm
Work out the area of the shape.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . cm2
(Total for Question 16 is 2 marks)
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On the grid, rotate the triangle 90° clockwise about (0, 0).
(Total for Question 17 is 2 marks)
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15 This is a scale plan of a rectangular floor.
Diagram accurately drawn
Scale: 1 cm represents 2 m
Mrs Bridges is going to cover the floor with boards. Each board is rectangular in shape.
Each board is 1.2 m long and 1 m wide.
Mrs Bridges has 150 boards. Does she have enough boards? You must show how you get your answer.
(Total for Question 15 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
1717Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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16
10 cm
2 cm
2 cm
8 cm
Work out the area of the shape.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . cm2
(Total for Question 16 is 2 marks)
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–5
–4–5 –3 –2 –1
On the grid, rotate the triangle 90° clockwise about (0, 0).
(Total for Question 17 is 2 marks)
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15 This is a scale plan of a rectangular floor.
Diagram accurately drawn
Scale: 1 cm represents 2 m
Mrs Bridges is going to cover the floor with boards. Each board is rectangular in shape.
Each board is 1.2 m long and 1 m wide.
Mrs Bridges has 150 boards. Does she have enough boards? You must show how you get your answer.
(Total for Question 15 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
1818 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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19 A shop sells milk in 1 pint bottles and in 2 pint bottles.
Each 1 pint bottle of milk costs 52p. Each 2 pint bottle of milk costs 93p.
Martin has no milk.
He assumes that he uses, on average, 34
of a pint of milk each day.
Martin wants to buy enough milk to last for 7 days.
(a) Work out the smallest amount of money Martin needs to spend on milk. You must show all your working.
£.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (3)
Martin actually uses more than 34
of a pint of milk each day.
(b) Explain how this might affect the amount of money he needs to spend on milk.
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(1)
(Total for Question 19 is 4 marks)
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18 There are 500 passengers on a train.
720
of the passengers are men.
40% of the passengers are women.
The rest of the passengers are children.
Work out the number of children on the train.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 18 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
1919Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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19 A shop sells milk in 1 pint bottles and in 2 pint bottles.
Each 1 pint bottle of milk costs 52p. Each 2 pint bottle of milk costs 93p.
Martin has no milk.
He assumes that he uses, on average, 34
of a pint of milk each day.
Martin wants to buy enough milk to last for 7 days.
(a) Work out the smallest amount of money Martin needs to spend on milk. You must show all your working.
£.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (3)
Martin actually uses more than 34
of a pint of milk each day.
(b) Explain how this might affect the amount of money he needs to spend on milk.
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(1)
(Total for Question 19 is 4 marks)
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18 There are 500 passengers on a train.
720
of the passengers are men.
40% of the passengers are women.
The rest of the passengers are children.
Work out the number of children on the train.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 18 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
2020 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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22 There are only red counters, blue counters, green counters and yellow counters in a bag.
The table shows the probabilities of picking at random a red counter and picking at random a yellow counter.
Colour red blue green yellow
Probability 0.24 0.32
The probability of picking a blue counter is the same as the probability of picking a green counter.
Complete the table.
(Total for Question 22 is 2 marks)
23 A pattern is made using identical rectangular tiles.
7 cm
11 cm
Find the total area of the pattern.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . cm2
(Total for Question 23 is 4 marks)
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20 The diagram shows a right-angled triangle.
7x 5x + 18
All the angles are in degrees.
Work out the size of the smallest angle of the triangle.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .°
(Total for Question 20 is 3 marks)
21 A box exerts a force of 140 newtons on a table. The pressure on the table is 35 newtons/m2.
Calculate the area of the box that is in contact with the table.p F
A=
p = pressureF = forceA = area
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 21 is 3 marks)
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22 There are only red counters, blue counters, green counters and yellow counters in a bag.
The table shows the probabilities of picking at random a red counter and picking at random a yellow counter.
Colour red blue green yellow
Probability 0.24 0.32
The probability of picking a blue counter is the same as the probability of picking a green counter.
Complete the table.
(Total for Question 22 is 2 marks)
23 A pattern is made using identical rectangular tiles.
7 cm
11 cm
Find the total area of the pattern.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . cm2
(Total for Question 23 is 4 marks)
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20 The diagram shows a right-angled triangle.
7x 5x + 18
All the angles are in degrees.
Work out the size of the smallest angle of the triangle.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .°
(Total for Question 20 is 3 marks)
21 A box exerts a force of 140 newtons on a table. The pressure on the table is 35 newtons/m2.
Calculate the area of the box that is in contact with the table.p F
A=
p = pressureF = forceA = area
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 21 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
2222 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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25 Four friends each throw a biased coin a number of times. The table shows the number of heads and the number of tails each friend got.
Ben Helen Paul Sharif
heads 34 66 80 120
tails 8 12 40 40
The coin is to be thrown one more time.
(a) Which of the four friends’ results will give the best estimate for the probability that the coin will land heads?
Justify your answer.
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(1)
Paul says,“With this coin you are twice as likely to get heads as to get tails.”
(b) Is Paul correct? Justify your answer.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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(2)
The coin is to be thrown twice.
(c) Use all the results in the table to work out an estimate for the probability that the coin will land heads both times.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (2)
(Total for Question 25 is 5 marks)
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24 The diagram shows a sand pit. The sand pit is in the shape of a cuboid.
Sally wants to fill the sand pit with sand. A bag of sand costs £2.50 There are 8 litres of sand in each bag.
100 cm60 cm
40 cm
Sally says,“The sand will cost less than £70”
Show that Sally is wrong.
(Total for Question 24 is 5 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
2323Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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25 Four friends each throw a biased coin a number of times. The table shows the number of heads and the number of tails each friend got.
Ben Helen Paul Sharif
heads 34 66 80 120
tails 8 12 40 40
The coin is to be thrown one more time.
(a) Which of the four friends’ results will give the best estimate for the probability that the coin will land heads?
Justify your answer.
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(1)
Paul says,“With this coin you are twice as likely to get heads as to get tails.”
(b) Is Paul correct? Justify your answer.
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(2)
The coin is to be thrown twice.
(c) Use all the results in the table to work out an estimate for the probability that the coin will land heads both times.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (2)
(Total for Question 25 is 5 marks)
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24 The diagram shows a sand pit. The sand pit is in the shape of a cuboid.
Sally wants to fill the sand pit with sand. A bag of sand costs £2.50 There are 8 litres of sand in each bag.
100 cm60 cm
40 cm
Sally says,“The sand will cost less than £70”
Show that Sally is wrong.
(Total for Question 24 is 5 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
2424 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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28 Factorise x2 – 16
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(Total for Question 28 is 1 mark)
29 Solve the simultaneous equations
4x + y = 25x – 3y = 16
x = .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . , y = .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 29 is 3 marks)
TOTAL FOR PAPER IS 80 MARKS
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26 (a) Write down the exact value of cos30°
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (1)
(b)
x cm12 cm
30°
Given that sin30° = 0.5, work out the value of x.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (2)
(Total for Question 26 is 3 marks)
27 Expand and simplify (x + 3)(x – 1)
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 27 is 2 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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28 Factorise x2 – 16
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(Total for Question 28 is 1 mark)
29 Solve the simultaneous equations
4x + y = 25x – 3y = 16
x = .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . , y = .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 29 is 3 marks)
TOTAL FOR PAPER IS 80 MARKS
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26 (a) Write down the exact value of cos30°
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (1)
(b)
x cm12 cm
30°
Given that sin30° = 0.5, work out the value of x.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (2)
(Total for Question 26 is 3 marks)
27 Expand and simplify (x + 3)(x – 1)
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 27 is 2 marks)
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BLANK PAGE
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
2727Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
20
*S49815A02020*
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Pape
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Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
2828 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Pape
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915
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Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
2929Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Pape
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Pape
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14(a
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o
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
3030 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
1F
Que
stio
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19(a
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begi
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1ca
o
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
3131Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
1F
Que
stio
nW
orki
ngA
nsw
erN
otes
19(a
)P1
begi
ns to
wor
k w
ith fi
gure
s eg
findi
ng 7
× ¾
(=5.
25)
P1w
orks
with
inte
gers
eg
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ts a
nd 3
× 2
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ts2.
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ula
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ated
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stat
ed e
g m
2
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begi
ns p
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ss o
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tract
ion
of p
roba
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ies f
rom
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ork
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Pape
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atio
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ume
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2.50
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uses
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vers
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re =
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onve
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= 1
000
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÷ 8
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(=30
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es 8
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eg “
28”×
800
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2240
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M1
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2.50
wor
ks w
ith v
ol. e
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xpla
natio
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ates
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r Pau
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r ref
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st P
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or fo
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1fo
r x2 +2
x−3
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
3232 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Centre Number Candidate Number
Write your name hereSurname Other names
Total Marks
Paper Reference
Turn over
S49817A©2015 Pearson Education Ltd.
6/6/6/
*S49817A0124*
MathematicsPaper 2 (Calculator)
Foundation TierSpecimen Papers Set 1
Time: 1 hour 30 minutes 1MA1/2FYou must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser, calculator.
Instructions
• Use black ink or ball-point pen.• Fill in the boxes at the top of this page with your name, centre number and candidate number.• Answer all questions.• Answer the questions in the spaces provided
– there may be more space than you need.• Calculators may be used.• If your calculator does not have a π button, take the value of π to be 3.142
unless the question instructs otherwise.• Diagrams are NOT accurately drawn, unless otherwise indicated.• You must show all your working out.
Information
• The total mark for this paper is 80• The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
• Read each question carefully before you start to answer it.• Keep an eye on the time.• Try to answer every question.• Check your answers if you have time at the end.
Pearson EdexcelLevel 1/Level 2 GCSE (9 - 1)
Pape
r 1M
A1:
1F
Que
stio
nW
orki
ngA
nsw
erN
otes
28(x
+4)(
x−4)
B1
for (
x+4)
(x−4)
29x=
7, y=−3
M1
for c
orre
ct p
roce
ss to
elim
inat
e on
e va
riabl
e (c
ondo
ne o
ne a
rithm
etic
err
or)
M1
(dep
) for
subs
titut
ing
foun
d va
lue
in o
ne o
f the
equ
atio
ns o
r app
ropr
iate
m
etho
d af
ter s
tarti
ng a
gain
(con
done
one
arit
hmet
ic e
rror
)A
1fo
r bot
h co
rrec
t sol
utio
ns
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
3333Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Centre Number Candidate Number
Write your name hereSurname Other names
Total Marks
Paper Reference
Turn over
S49817A©2015 Pearson Education Ltd.
6/6/6/
*S49817A0124*
MathematicsPaper 2 (Calculator)
Foundation TierSpecimen Papers Set 1
Time: 1 hour 30 minutes 1MA1/2FYou must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser, calculator.
Instructions
• Use black ink or ball-point pen.• Fill in the boxes at the top of this page with your name, centre number and candidate number.• Answer all questions.• Answer the questions in the spaces provided
– there may be more space than you need.• Calculators may be used.• If your calculator does not have a π button, take the value of π to be 3.142
unless the question instructs otherwise.• Diagrams are NOT accurately drawn, unless otherwise indicated.• You must show all your working out.
Information
• The total mark for this paper is 80• The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
• Read each question carefully before you start to answer it.• Keep an eye on the time.• Try to answer every question.• Check your answers if you have time at the end.
Pearson EdexcelLevel 1/Level 2 GCSE (9 - 1)
Pape
r 1M
A1:
1F
Que
stio
nW
orki
ngA
nsw
erN
otes
28(x
+4)(
x−4)
B1
for (
x+4)
(x−4)
29x=
7, y=−3
M1
for c
orre
ct p
roce
ss to
elim
inat
e on
e va
riabl
e (c
ondo
ne o
ne a
rithm
etic
err
or)
M1
(dep
) for
subs
titut
ing
foun
d va
lue
in o
ne o
f the
equ
atio
ns o
r app
ropr
iate
m
etho
d af
ter s
tarti
ng a
gain
(con
done
one
arit
hmet
ic e
rror
)A
1fo
r bot
h co
rrec
t sol
utio
ns
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
3434 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
3
*S49817A0324* Turn over
D
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E IN
TH
IS AR
EA
D
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OT W
RIT
E IN
TH
IS AR
EA
D
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RIT
E IN
TH
IS AR
EA
D
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WR
ITE
IN
TH
IS A
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A
DO
NO
T W
RIT
E I
N T
HIS
AR
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D
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IN
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A
5 A shop sells pens at different prices. The cheapest pens in the shop cost 27p each.
Lottie buys 18 pens from the shop. She pays with a £10 note.
(a) If Lottie buys 18 of the cheapest pens, how much change should Lottie get?
£.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (2)
Instead of buying the cheapest pens, Lottie buys 18 of the more expensive pens. She still pays with a £10 note.
(b) How does this affect the amount of change she should get?
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 5 is 3 marks)
2
*S49817A0224*
D
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RIT
E IN
TH
IS AR
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D
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RIT
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D
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A
Answer ALL questions.
Write your answers in the spaces provided.
You must write down all the stages in your working.
1 Write down the value of the 3 in 16.35
... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 1 is 1 mark)
2 Here is a list of six numbers.
1 3 6 9 12 24
Which number in the list is not a factor of 24?
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 2 is 1 mark)
3 Write 0.21 as a fraction.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 3 is 1 mark)
4 (a) Simplify 5f – f + 2f
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(b) Simplify 2 × m × n × 8
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(c) Simplify t2 + t2
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(1)
(Total for Question 4 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
3535Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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5 A shop sells pens at different prices. The cheapest pens in the shop cost 27p each.
Lottie buys 18 pens from the shop. She pays with a £10 note.
(a) If Lottie buys 18 of the cheapest pens, how much change should Lottie get?
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Instead of buying the cheapest pens, Lottie buys 18 of the more expensive pens. She still pays with a £10 note.
(b) How does this affect the amount of change she should get?
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(1)
(Total for Question 5 is 3 marks)
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Answer ALL questions.
Write your answers in the spaces provided.
You must write down all the stages in your working.
1 Write down the value of the 3 in 16.35
... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 1 is 1 mark)
2 Here is a list of six numbers.
1 3 6 9 12 24
Which number in the list is not a factor of 24?
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 2 is 1 mark)
3 Write 0.21 as a fraction.
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(Total for Question 3 is 1 mark)
4 (a) Simplify 5f – f + 2f
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (1)
(b) Simplify 2 × m × n × 8
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (1)
(c) Simplify t2 + t2
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 4 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
3636 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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9 What percentage of this shape is shaded?
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(Total for Question 9 is 3 marks)
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6 Michelle and Wayne have saved a total of £458 for their holiday. Wayne saved £72 more than Michelle.
How much did Wayne save?
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(Total for Question 6 is 2 marks)
7 Work out 70% of £90
£... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 7 is 2 marks)
8 Here are four fractions.
12
1724
34
512
Write these fractions in order of size. Start with the smallest fraction.
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(Total for Question 8 is 2 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
3737Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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9 What percentage of this shape is shaded?
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(Total for Question 9 is 3 marks)
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6 Michelle and Wayne have saved a total of £458 for their holiday. Wayne saved £72 more than Michelle.
How much did Wayne save?
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(Total for Question 6 is 2 marks)
7 Work out 70% of £90
£... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 7 is 2 marks)
8 Here are four fractions.
12
1724
34
512
Write these fractions in order of size. Start with the smallest fraction.
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(Total for Question 8 is 2 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
3838 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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11 In a shop, the normal price of a coat is £65 The shop has a sale.
In week 1 of the sale, the price of the coat is reduced by 20% In week 2 of the sale, the price of the coat is reduced by a further £10
Maria has £40
Does Maria have enough money to buy the coat in week 2 of the sale? You must show how you get your answer.
(Total for Question 11 is 3 marks)
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10 The manager of a clothes shop recorded the size of each dress sold one morning.
10 10 12 12 14 14 14 14 14 14 16 16 16 16 18 18 18 20 20 20
The sizes of dresses are always even numbers. The mean size of the dresses sold that morning is 15.3
The manager says,“The mean size of the dresses is not a very useful average.”
(i) Explain why the manager is right.
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(ii) Which is the more useful average for the manager to know, the median or the mode? You must give a reason for your answer.
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(Total for Question 10 is 2 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
3939Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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11 In a shop, the normal price of a coat is £65 The shop has a sale.
In week 1 of the sale, the price of the coat is reduced by 20% In week 2 of the sale, the price of the coat is reduced by a further £10
Maria has £40
Does Maria have enough money to buy the coat in week 2 of the sale? You must show how you get your answer.
(Total for Question 11 is 3 marks)
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10 The manager of a clothes shop recorded the size of each dress sold one morning.
10 10 12 12 14 14 14 14 14 14 16 16 16 16 18 18 18 20 20 20
The sizes of dresses are always even numbers. The mean size of the dresses sold that morning is 15.3
The manager says,“The mean size of the dresses is not a very useful average.”
(i) Explain why the manager is right.
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(ii) Which is the more useful average for the manager to know, the median or the mode? You must give a reason for your answer.
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(Total for Question 10 is 2 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
4040 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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13 Here are the heights, in centimetres, of 15 children.
123 147 135 150 147
129 148 149 125 137
133 138 133 130 151
(a) Show this information in a stem and leaf diagram.
(3)
One of the children is chosen at random.
(b) What is the probability that this child has a height greater than 140 cm?
... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (2)
(Total for Question 13 is 5 marks)
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12 The length of a car is 3.6 metres.
Karl makes a scale model of the car. He uses a scale of 1 cm to 30 cm.
Work out the length of the scale model of the car. Give your answer in centimetres.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . cm
(Total for Question 12 is 2 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
4141Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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13 Here are the heights, in centimetres, of 15 children.
123 147 135 150 147
129 148 149 125 137
133 138 133 130 151
(a) Show this information in a stem and leaf diagram.
(3)
One of the children is chosen at random.
(b) What is the probability that this child has a height greater than 140 cm?
... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (2)
(Total for Question 13 is 5 marks)
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12 The length of a car is 3.6 metres.
Karl makes a scale model of the car. He uses a scale of 1 cm to 30 cm.
Work out the length of the scale model of the car. Give your answer in centimetres.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . cm
(Total for Question 12 is 2 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
4242 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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15 (a) Work out 45
of 210 cm.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . cm(1)
(b) Work out (6 – 2.5)2 + 9 34 2 58. .−
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (2)
(Total for Question 15 is 3 marks)
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14
(a) Write down the coordinates of point C.
(. . . . . . . . . . . . . . . . . . . . . . . . . . . . , . . . . . . . . . . . . . . . . . . . . . . . . . . . .)(1)
ABCD is a square.
(b) On the grid, mark with a cross (X) the point D so that ABCD is a square.(1)
(c) Write down the coordinates of the midpoint of the line segment BC.
(. . . . . . . . . . . . . . . . . . . . . . . . . . . . , . . . . . . . . . . . . . . . . . . . . . . . . . . . .)(1)
(Total for Question 14 is 3 marks)
y4
3
2
1
O
–1
–2
–3
–4
–4 –3 –2 –1 1 2 3 4 x
B
A
C
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
4343Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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15 (a) Work out 45
of 210 cm.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . cm(1)
(b) Work out (6 – 2.5)2 + 9 34 2 58. .−
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (2)
(Total for Question 15 is 3 marks)
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14
(a) Write down the coordinates of point C.
(. . . . . . . . . . . . . . . . . . . . . . . . . . . . , . . . . . . . . . . . . . . . . . . . . . . . . . . . .)(1)
ABCD is a square.
(b) On the grid, mark with a cross (X) the point D so that ABCD is a square.(1)
(c) Write down the coordinates of the midpoint of the line segment BC.
(. . . . . . . . . . . . . . . . . . . . . . . . . . . . , . . . . . . . . . . . . . . . . . . . . . . . . . . . .)(1)
(Total for Question 14 is 3 marks)
y4
3
2
1
O
–1
–2
–3
–4
–4 –3 –2 –1 1 2 3 4 x
B
A
C
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
4444 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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17 ABC is a right-angled triangle.
C B
A
P
Q
22°
P is a point on AB. Q is a point on AC. AP = AQ.
Work out the size of angle AQP. You must give a reason for each stage of your working.
(Total for Question 17 is 4 marks)
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16 (a) Solve 4c + 5 = 11
c = .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(b) Solve 5(e + 7) = 20
e = .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(c) Simplify (m3)2
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 16 is 5 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
4545Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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17 ABC is a right-angled triangle.
C B
A
P
Q
22°
P is a point on AB. Q is a point on AC. AP = AQ.
Work out the size of angle AQP. You must give a reason for each stage of your working.
(Total for Question 17 is 4 marks)
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16 (a) Solve 4c + 5 = 11
c = .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(b) Solve 5(e + 7) = 20
e = .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(c) Simplify (m3)2
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 16 is 5 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
4646 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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19 Lethna worked out 25
12
+
She wrote:
25
12
210
110
310
+ = + =
The answer of 310
is wrong.
(a) Describe one mistake that Lethna made.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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(1)
Dave worked out 112
× 5 13
He wrote:
1 × 5 = 5 and 12
× 13 = 16
so 1 12
× 5 13 = 5 1
6
The answer of 516
is wrong.
(b) Describe one mistake that Dave made.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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(1)
(Total for Question 19 is 2 marks)
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18 Here is a list of ingredients for making 16 mince pies.
Ingredients for 16 mince pies
240 g of butter350 g of flour100 g of sugar280 g of mincemeat
Elaine wants to make 72 mince pies.
How much of each ingredient will Elaine need?
butter .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . g
flour .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . g
sugar .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . g
mincemeat .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . g
(Total for Question 18 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
4747Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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19 Lethna worked out 25
12
+
She wrote:
25
12
210
110
310
+ = + =
The answer of 310
is wrong.
(a) Describe one mistake that Lethna made.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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(1)
Dave worked out 112
× 5 13
He wrote:
1 × 5 = 5 and 12
× 13 = 16
so 1 12
× 5 13 = 5 1
6
The answer of 516
is wrong.
(b) Describe one mistake that Dave made.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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(1)
(Total for Question 19 is 2 marks)
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18 Here is a list of ingredients for making 16 mince pies.
Ingredients for 16 mince pies
240 g of butter350 g of flour100 g of sugar280 g of mincemeat
Elaine wants to make 72 mince pies.
How much of each ingredient will Elaine need?
butter .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . g
flour .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . g
sugar .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . g
mincemeat .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . g
(Total for Question 18 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
4848 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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22 The time-series graph gives some information about the number of pairs of shoes sold in a shoe shop in the first six months of 2014
The sales target for the first six months of 2014 was to sell a mean of 96 pairs of shoes per month.
Did the shoe shop meet this sales target? You must show how you get your answer.
(Total for Question 22 is 3 marks)
140
120
100
80
60January February March April May June
Months
Number of pairs of shoes sold
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20 Make t the subject of the formula w = 3t + 11
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 20 is 2 marks)
21 Three companies sell the same type of furniture.
The price of the furniture from Pooles of London is £1480 The price of the furniture from Jardins of Paris is €1980 The price of the furniture from Outways of New York is $2250
The exchange rates are
£1 = €1.34
£1 = $1.52
Which company sells this furniture at the lowest price? You must show how you get your answer.
(Total for Question 21 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
4949Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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22 The time-series graph gives some information about the number of pairs of shoes sold in a shoe shop in the first six months of 2014
The sales target for the first six months of 2014 was to sell a mean of 96 pairs of shoes per month.
Did the shoe shop meet this sales target? You must show how you get your answer.
(Total for Question 22 is 3 marks)
140
120
100
80
60January February March April May June
Months
Number of pairs of shoes sold
16
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20 Make t the subject of the formula w = 3t + 11
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 20 is 2 marks)
21 Three companies sell the same type of furniture.
The price of the furniture from Pooles of London is £1480 The price of the furniture from Jardins of Paris is €1980 The price of the furniture from Outways of New York is $2250
The exchange rates are
£1 = €1.34
£1 = $1.52
Which company sells this furniture at the lowest price? You must show how you get your answer.
(Total for Question 21 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
5050 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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24 At 9 am, Bradley began a journey on his bicycle.
From 9 am to 9.36 am, he cycled at an average speed of 15 km/h. From 9.36 am to 10.45 am, he cycled a further 8 km.
(a) Draw a travel graph to show Bradley’s journey.
(3)
From 10.45 am to 11 am, Bradley cycled at an average speed of 18 km/h.
(b) Work out the distance Bradley cycled from 10.45 am to 11 am.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . km(2)
(Total for Question 24 is 5 marks)
20
15
10
5
09 am
Time of day
Distance in km
9.30 am 10 am 11am10.30 am
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23 The grouped frequency table gives information about the heights of 30 students.
Height (h cm) Frequency
130 < h 140 1
140 < h 150 7
150 < h 160 8
160 < h 170 10
170 < h 180 4
(a) Write down the modal class interval.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
This incorrect frequency polygon has been drawn for the information in the table.
(b) Write down two things wrong with this incorrect frequency polygon.
1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 23 is 3 marks)
12
10
8
6
4
2
0120 130 140 150 160 170 180 190
Height (h cm)
Frequency
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
5151Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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24 At 9 am, Bradley began a journey on his bicycle.
From 9 am to 9.36 am, he cycled at an average speed of 15 km/h. From 9.36 am to 10.45 am, he cycled a further 8 km.
(a) Draw a travel graph to show Bradley’s journey.
(3)
From 10.45 am to 11 am, Bradley cycled at an average speed of 18 km/h.
(b) Work out the distance Bradley cycled from 10.45 am to 11 am.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . km(2)
(Total for Question 24 is 5 marks)
20
15
10
5
09 am
Time of day
Distance in km
9.30 am 10 am 11am10.30 am
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23 The grouped frequency table gives information about the heights of 30 students.
Height (h cm) Frequency
130 < h 140 1
140 < h 150 7
150 < h 160 8
160 < h 170 10
170 < h 180 4
(a) Write down the modal class interval.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
This incorrect frequency polygon has been drawn for the information in the table.
(b) Write down two things wrong with this incorrect frequency polygon.
1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 23 is 3 marks)
12
10
8
6
4
2
0120 130 140 150 160 170 180 190
Height (h cm)
Frequency
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
5252 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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27 Here is a diagram showing a rectangle, ABCD, and a circle.
A B
D C
19cm
19cm
16cm
BC is a diameter of the circle.
Calculate the percentage of the area of the rectangle that is shaded. Give your answer correct to 1 decimal place.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .%
(Total for Question 27 is 4 marks)
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25 Toby invested £7500 for 2 years in a savings account. He was paid 4% per annum compound interest.
How much money did Toby have in his savings account at the end of 2 years?
£ .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 25 is 2 marks)
26 Becky has some marbles. Chris has two times as many marbles as Becky. Dan has seven more marbles than Chris.
They have a total of 57 marbles.
Dan says, “If I give some marbles to Becky, each of us will have the same number of marbles.”
Is Dan correct? You must show how you get your answer.
(Total for Question 26 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
5353Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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27 Here is a diagram showing a rectangle, ABCD, and a circle.
A B
D C
19cm
19cm
16cm
BC is a diameter of the circle.
Calculate the percentage of the area of the rectangle that is shaded. Give your answer correct to 1 decimal place.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .%
(Total for Question 27 is 4 marks)
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25 Toby invested £7500 for 2 years in a savings account. He was paid 4% per annum compound interest.
How much money did Toby have in his savings account at the end of 2 years?
£ .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 25 is 2 marks)
26 Becky has some marbles. Chris has two times as many marbles as Becky. Dan has seven more marbles than Chris.
They have a total of 57 marbles.
Dan says, “If I give some marbles to Becky, each of us will have the same number of marbles.”
Is Dan correct? You must show how you get your answer.
(Total for Question 26 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
5454 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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28 ABCD is a trapezium.
A
B
D
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5cm
9cm
A square has the same perimeter as this trapezium.
Work out the area of the square. Give your answer correct to 3 significant figures.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . cm2
(Total for Question 28 is 5 marks)
TOTAL FOR PAPER IS 80 MARKS
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5555Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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28 ABCD is a trapezium.
A
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D
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5cm
9cm
A square has the same perimeter as this trapezium.
Work out the area of the square. Give your answer correct to 3 significant figures.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . cm2
(Total for Question 28 is 5 marks)
TOTAL FOR PAPER IS 80 MARKS
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5656 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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5858 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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,3 4M
1
A1
for a
met
hod
to c
onve
rt ea
ch to
a fo
rm th
at c
an
be e
asily
use
d fo
r com
parin
g, e
g. 5 12
= 10 24
for c
orre
ct o
rder
962
.5M
1fo
r 12.
5 sq
uare
s or u
se o
f 1 sq
= 5
%
M1
for 1
2.5÷
20×1
00 o
eA
1or
62½
10i ii
C1
C1
for c
orre
ct c
ritic
ism
of u
se o
f mea
n, e
g. "t
here
is
no d
ress
size
of 1
5.3"
Mod
e (=
14) i
s mos
t use
ful s
ince
it sh
ows t
he
mos
t pop
ular
size
11fo
r 'no
' with
su
ppor
ting
evid
ence
P1 P1 C1
for c
orre
ct p
roce
ss to
find
pric
ein
Wee
k 1,
eg
. 65
× 0.
8 (=
52)
for p
roce
ss to
find
the
pric
ein
wee
k 2,
eg
. "52
"–10
(=
42)
for '
no' w
ith su
ppor
ting
evid
ence
1212
P1 A1
for c
ompl
ete
proc
ess i
nclu
ding
uni
t con
vers
ion,
eg
. 3.6
× 1
00 ÷
30
cao
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
5959Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
2F
Que
stio
nW
orki
ngA
nsw
erN
otes
85 12
,1 2,17 24
,3 4M
1
A1
for a
met
hod
to c
onve
rt ea
ch to
a fo
rm th
at c
an
be e
asily
use
d fo
r com
parin
g, e
g. 5 12
= 10 24
for c
orre
ct o
rder
962
.5M
1fo
r 12.
5 sq
uare
s or u
se o
f 1 sq
= 5
%
M1
for 1
2.5÷
20×1
00 o
eA
1or
62½
10i ii
C1
C1
for c
orre
ct c
ritic
ism
of u
se o
f mea
n, e
g. "t
here
is
no d
ress
size
of 1
5.3"
Mod
e (=
14) i
s mos
t use
ful s
ince
it sh
ows t
he
mos
t pop
ular
size
11fo
r 'no
' with
su
ppor
ting
evid
ence
P1 P1 C1
for c
orre
ct p
roce
ss to
find
pric
ein
Wee
k 1,
eg
. 65
× 0.
8 (=
52)
for p
roce
ss to
find
the
pric
ein
wee
k 2,
eg
. "52
"–10
(=
42)
for '
no' w
ith su
ppor
ting
evid
ence
1212
P1 A1
for c
ompl
ete
proc
ess i
nclu
ding
uni
t con
vers
ion,
eg
. 3.6
× 1
00 ÷
30
cao
Pape
r 1M
A1:
2F
Que
stio
nW
orki
ngA
nsw
erN
otes
13a b
12|3
5 9
13| 0
3 3
5 7
814
| 7 7
8 9
15| 0
1K
ey: 1
2|3
repr
esen
ts 1
23
6 15oe
C1
C1
C1
M1
A1
for a
n un
orde
red
diag
ram
with
just
one
err
or o
r fo
r an
orde
red
diag
ram
with
no
mor
e th
an tw
o er
rors
for a
fully
cor
rect
dia
gram
fora
cor
rect
key
(uni
ts m
ay b
e om
itted
but
mus
t be
cor
rect
if in
clud
ed)
for c
orre
ct in
terp
reta
tion
from
thei
r dia
gram
(or
from
orig
inal
info
rmat
ion)
of t
he n
umbe
r (6)
out
of
15
over
140
for
6 15oe
or f
t the
ir di
agra
m
14a b c
(0, –
1)
× m
arke
d at
(3, 0
)
(–0.
5, 0
.5)
B1
B1
B1
15a b
168
14.8
5
B1
M1
A1
for 1
2.25
or 2
.6
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
6060 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
2F
Que
stio
nW
orki
ngA
nsw
erN
otes
16a b
1.5
oe
–3
M1
A1
M1
for r
earr
angi
ng, e
g 11
–5
= 4c
for a
firs
t ste
p of
eith
er d
ivid
ing
both
side
s by
5,
eg. 5
(𝑒𝑒+7)
5=
20 5or
for e
xpan
ding
the
brac
ket,
eg.
5×e
+ 5×
7 =
20
cm
6
A1
B1
cao
1756
ow
ith re
ason
sM
1
M1
C1
C1
for a
met
hod
lead
ing
to th
e ev
alua
tion
of a
noth
er
angl
e, e
g. a
ngle
A=1
80 –
90–
22 (=
68)
for c
orre
ctly
usi
ng th
e is
osce
les p
rope
rty in
id
entif
ying
two
equa
l ang
les,
eg (1
80 –
"68"
)÷2
(= 5
6)fo
r at l
east
one
cor
rect
reas
on g
iven
link
ed to
cl
ear w
orki
ng.
For a
ll co
rrec
t rea
sons
incl
uded
Rea
sons
as a
ppro
pria
te fr
om:
sum
of a
ngle
s in
a tri
angl
e=
180o
base
ang
leso
f iso
scel
estri
angl
e ar
e eq
ual
sum
of a
ngle
son
a st
raig
ht li
ne=
180o
sum
of a
ngle
sin
a qu
adril
ater
al=
360o
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
6161Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
2F
Que
stio
nW
orki
ngA
nsw
erN
otes
16a b
1.5
oe
–3
M1
A1
M1
for r
earr
angi
ng, e
g 11
–5
= 4c
for a
firs
t ste
p of
eith
er d
ivid
ing
both
side
s by
5,
eg. 5
(𝑒𝑒+7)
5=
20 5or
for e
xpan
ding
the
brac
ket,
eg.
5×e
+ 5×
7 =
20
cm
6
A1
B1
cao
1756
ow
ith re
ason
sM
1
M1
C1
C1
for a
met
hod
lead
ing
to th
e ev
alua
tion
of a
noth
er
angl
e, e
g. a
ngle
A=1
80 –
90–
22 (=
68)
for c
orre
ctly
usi
ng th
e is
osce
les p
rope
rty in
id
entif
ying
two
equa
l ang
les,
eg (1
80 –
"68"
)÷2
(= 5
6)fo
r at l
east
one
cor
rect
reas
on g
iven
link
ed to
cl
ear w
orki
ng.
For a
ll co
rrec
t rea
sons
incl
uded
Rea
sons
as a
ppro
pria
te fr
om:
sum
of a
ngle
sin
a tri
angl
e=
180o
base
ang
leso
f iso
scel
estri
angl
e ar
e eq
ual
sum
of a
ngle
son
a st
raig
ht li
ne=
180o
sum
of a
ngle
sin
a qu
adril
ater
al=
360o
Pape
r 1M
A1:
2F
Que
stio
nW
orki
ngA
nsw
erN
otes
18bu
tter =
108
0flo
ur =
157
5su
gar =
450
min
cem
eat =
12
60
M1
M1
A1
for c
orre
ct u
se o
f a c
orre
ct sc
ale
fact
or, 7
2 ÷
16
(= 4
.5) o
n at
leas
t one
ingr
edie
ntfo
r com
plet
e m
etho
d ap
plie
d to
all
ingr
edie
nts
corr
ect a
mou
nts c
orre
ctly
con
verte
d to
kg
19a b
C1
C1
for a
cor
rect
eva
luat
ion
of th
e m
etho
d sh
own
by
givi
ng a
t lea
st o
ne c
orre
ct e
rror
mad
e, e
g. "
didn
't m
ultip
ly th
e 1
by 5
"
for a
cor
rect
eva
luat
ion
of th
e m
etho
d sh
own
by
givi
ng a
t lea
st o
ne c
orre
ct e
rror
mad
e, e
g. "
can'
t sp
lit a
mix
ed n
umbe
r" o
r "sh
ould
con
vert
to
impr
oper
(oe)
frac
tions
firs
t"
20𝑡𝑡
=𝑤𝑤−
113
M1
for 3
t=w
–11
or 𝑤𝑤3
=3𝑡𝑡 3
+11 3
A1
for 𝑡𝑡
=𝑤𝑤−11 3
oe21
Jard
ins o
f Par
isP1 P1 C
1
corr
ect p
roce
ss to
con
vert
one
pric
e to
ano
ther
cu
rrec
ncy,
eg
1980
÷ 1
.34
for a
com
plet
e pr
oces
s lea
ding
to 3
pric
es in
the
sam
e cu
rren
cyfo
r 3 c
orre
ct a
nd c
onsi
sten
t res
ults
and
a c
orre
ct
com
paris
on m
ade.
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
6262 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
2F
Que
stio
nW
orki
ngA
nsw
erN
otes
22M
ean
of 9
6or
net
de
viat
ion
of 0
so ta
rget
met
M1
M1
C1
for c
orre
ct in
terp
reta
tion
of th
e gr
aph,
with
at
leas
t one
cor
rect
read
ing
or a
line
dra
wn
thro
ugh
96 w
ith a
t lea
st o
ne c
orre
ct d
evia
tion
com
plet
e m
etho
d to
find
mea
n of
six
mon
ths
sale
s, eg
. (11
0+84
+78+
94+9
0+12
0)÷6
(= 9
6) o
r th
e m
ean
of si
x de
viat
ions
, eg
. (14
–12–
16–2
–6+2
4)÷6
(= 0
)fo
r a c
orre
ct a
nsw
er o
f 96
or 0
with
cor
rect
co
nclu
sion
23a b
160
< h
≤ 17
0
1. P
oint
s sho
uld
be p
lotte
d at
mid
-in
terv
al v
alue
s2.
The
pol
ygon
sh
ould
not
be
clos
ed
B1
C1
C1
for i
dent
ifyin
g th
e co
rrec
t cla
ss in
terv
al
for a
cor
rect
err
or id
entif
ied
for a
cor
rect
err
or id
entif
ied
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
6363Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
2F
Que
stio
nW
orki
ngA
nsw
erN
otes
22M
ean
of 9
6or
net
de
viat
ion
of 0
so ta
rget
met
M1
M1
C1
for c
orre
ct in
terp
reta
tion
of th
e gr
aph,
with
at
leas
t one
cor
rect
read
ing
or a
line
dra
wn
thro
ugh
96 w
ith a
t lea
st o
ne c
orre
ct d
evia
tion
com
plet
e m
etho
d to
find
mea
n of
six
mon
ths
sale
s, eg
. (11
0+84
+78+
94+9
0+12
0)÷6
(= 9
6) o
r th
e m
ean
of si
x de
viat
ions
, eg
. (14
–12–
16–2
–6+2
4)÷6
(= 0
)fo
r a c
orre
ct a
nsw
er o
f 96
or 0
with
cor
rect
co
nclu
sion
23a b
160
< h
≤ 17
0
1. P
oint
s sho
uld
be p
lotte
d at
mid
-in
terv
al v
alue
s2.
The
pol
ygon
sh
ould
not
be
clos
ed
B1
C1
C1
for i
dent
ifyin
g th
e co
rrec
t cla
ss in
terv
al
for a
cor
rect
err
or id
entif
ied
for a
cor
rect
err
or id
entif
ied
Pape
r 1M
A1:
2F
Que
stio
nW
orki
ngA
nsw
erN
otes
24a
grap
hM
1
C1
C1
for m
etho
d to
star
t to
find
dist
ance
cyc
led
in 3
6 m
ins,
eg. l
ine
draw
n of
cor
rect
gra
dien
t or
15×
36 60fo
r cor
rect
gra
ph fr
om 9
.00
am to
9.3
6 am
for g
raph
dra
wn
from
"(9
.36,
9)"
to
(10.
45, "
9" +
8)
b4.
5M
1A
1fo
r 18
× 0.
25ca
o
2581
12M
1A
1fo
r co
mpl
ete
met
hod,
eg.
750
0 ×
1.04
2
cao
26N
o w
ith
supp
ortin
g ev
iden
ce
P1 P1 C1
for t
he st
art o
f a c
orre
ct p
roce
ss, e
g. tw
o of
x, 2
xan
d 2x
+7 o
e or
a fu
lly c
orre
ct tr
ial,
eg. 5
+ 1
0 +
17 =
32
for s
ettin
g up
an
equa
tion
in x
.eg.
x+
2x+
2x+
7 =
57 o
r a c
orre
ct tr
ial t
otal
ling
57, e
g. 1
0 +
20
+ 27
= 5
7(d
epon
P2)
for a
t lea
st o
ne c
orre
ct re
sult
and
for
a co
rrec
t ded
uctio
n fr
om th
eir a
nsw
ers f
ound
, eg.
C
hris
has
20
so it
is im
poss
ible
for a
ll to
hav
e 20
si
nce
60 m
arbl
es w
ould
be
need
ed.
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
6464 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Centre Number Candidate Number
Write your name hereSurname Other names
Total Marks
Paper Reference
Turn over
S49819A©2015 Pearson Education Ltd.
6/6/6/
*S49819A0120*
MathematicsPaper 3 (Calculator)
Foundation TierSpecimen Papers Set 1
Time: 1 hour 30 minutes 1MA1/3FYou must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser, calculator.
Instructions
• Use black ink or ball-point pen.• Fill in the boxes at the top of this page with your name, centre number and candidate number.• Answer all questions.• Answer the questions in the spaces provided
– there may be more space than you need.• Calculators may be used.• If your calculator does not have a π button, take the value of π to be 3.142
unless the question instructs otherwise.• Diagrams are NOT accurately drawn, unless otherwise indicated.• You must show all your working out.
Information
• The total mark for this paper is 80• The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
• Read each question carefully before you start to answer it.• Keep an eye on the time.• Try to answer every question.• Check your answers if you have time at the end.
Pearson Edexcel Level 1/Level 2 GCSE (9 - 1)
Pape
r 1M
A1:
2F
Que
stio
nW
orki
ngA
nsw
erN
otes
2766
.9P1 P1 P1 A
1
for p
roce
ss to
find
the
area
of o
ne sh
ape,
eg.
19
×16
(= 3
04) o
r 𝜋𝜋×
82(=
201
.06.
..)fo
r pro
cess
to fi
nd th
e sh
aded
are
a, e
g. "3
04" –
"201
.06"
÷2
(= 2
03.4
6...)
for a
com
plet
e pr
oces
s to
find
requ
ired
perc
enta
ge, e
g. "2
03.46"
304
×10
0
for a
nsw
er in
rang
e 66
to 6
8
2843
.5P1 P1 P1 P1 A
1
For p
roce
ss to
est
ablis
h a
right
-ang
led
trian
gle
with
two
side
s of 5
cm
and
9 –
7 =
2 cm
For c
orre
ct a
pplic
atio
n of
Pyt
hago
ras,
eg. 5
2+"
2"2
for a
com
plet
e pr
oces
s to
find
perim
eter
, eg.
9 +
7
+ 5
+ "5
.39"
(= 2
6.38
5...)
for p
roce
ss to
find
are
a of
squa
re,
eg. (
26.3
85...
÷4)
2
for a
nsw
er in
rang
e 43
.5 to
43.
6
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
6565Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Centre Number Candidate Number
Write your name hereSurname Other names
Total Marks
Paper Reference
Turn over
S49819A©2015 Pearson Education Ltd.
6/6/6/
*S49819A0120*
MathematicsPaper 3 (Calculator)
Foundation TierSpecimen Papers Set 1
Time: 1 hour 30 minutes 1MA1/3FYou must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser, calculator.
Instructions
• Use black ink or ball-point pen.• Fill in the boxes at the top of this page with your name, centre number and candidate number.• Answer all questions.• Answer the questions in the spaces provided
– there may be more space than you need.• Calculators may be used.• If your calculator does not have a π button, take the value of π to be 3.142
unless the question instructs otherwise.• Diagrams are NOT accurately drawn, unless otherwise indicated.• You must show all your working out.
Information
• The total mark for this paper is 80• The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
• Read each question carefully before you start to answer it.• Keep an eye on the time.• Try to answer every question.• Check your answers if you have time at the end.
Pearson Edexcel Level 1/Level 2 GCSE (9 - 1)
Pape
r 1M
A1:
2F
Que
stio
nW
orki
ngA
nsw
erN
otes
2766
.9P1 P1 P1 A
1
for p
roce
ss to
find
the
area
of o
ne sh
ape,
eg.
19
×16
(= 3
04) o
r 𝜋𝜋×
82(=
201
.06.
..)fo
r pro
cess
to fi
nd th
e sh
aded
are
a, e
g. "3
04" –
"201
.06"
÷2
(= 2
03.4
6...)
for a
com
plet
e pr
oces
s to
find
requ
ired
perc
enta
ge, e
g. "2
03.46"
304
×10
0
for a
nsw
er in
rang
e 66
to 6
8
2843
.5P1 P1 P1 P1 A
1
For p
roce
ss to
est
ablis
h a
right
-ang
led
trian
gle
with
two
side
s of 5
cm
and
9 –
7 =
2 cm
For c
orre
ct a
pplic
atio
n of
Pyt
hago
ras,
eg. 5
2+"
2"2
for a
com
plet
e pr
oces
s to
find
perim
eter
, eg.
9 +
7
+ 5
+ "5
.39"
(= 2
6.38
5...)
for p
roce
ss to
find
are
a of
squa
re,
eg. (
26.3
85...
÷4)
2
for a
nsw
er in
rang
e 43
.5 to
43.
6
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
6666 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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5 There are 1.5 litres of water in a bottle.
There are 250 millilitres of water in another bottle.
Work out the total amount of water in the two bottles.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 5 is 3 marks)
6 Here is a trapezium.
This diagram is accurately drawn.
P Qx
(a) Measure the length of the line PQ.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .cm
(1)
(b) Measure the size of the angle marked x.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .°
(1)
(Total for Question 6 is 2 marks)
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Answer ALL questions.
Write your answers in the spaces provided.
You must write down all the stages in your working.
1 Write the number 5689 correct to the nearest thousand.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 1 is 1 mark)
2 Work out 30 125 3
++
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 2 is 1 mark)
3 Work out the reciprocal of 0.125
... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 3 is 1 mark)
4 Here is a list of numbers.
1 2 5 6 12
From the list, write down
(i) a multiple of 4
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(ii) a prime number
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 4 is 2 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
6767Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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5 There are 1.5 litres of water in a bottle.
There are 250 millilitres of water in another bottle.
Work out the total amount of water in the two bottles.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 5 is 3 marks)
6 Here is a trapezium.
This diagram is accurately drawn.
P Qx
(a) Measure the length of the line PQ.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .cm
(1)
(b) Measure the size of the angle marked x.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .°
(1)
(Total for Question 6 is 2 marks)
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Answer ALL questions.
Write your answers in the spaces provided.
You must write down all the stages in your working.
1 Write the number 5689 correct to the nearest thousand.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 1 is 1 mark)
2 Work out 30 125 3
++
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 2 is 1 mark)
3 Work out the reciprocal of 0.125
... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 3 is 1 mark)
4 Here is a list of numbers.
1 2 5 6 12
From the list, write down
(i) a multiple of 4
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(ii) a prime number
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 4 is 2 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
6868 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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9 The two numbers, A and B, are shown on a scale.
A
0
B
The difference between A and B is 48
Work out the value of A and the value of B.
A =... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
B =... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 9 is 3 marks)
10 Complete this table of values.
n 3n + 2
12... . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . .
47
(Total for Question 10 is 3 marks)
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7 (a) Solve f + 2f + f = 20
f =.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(b) Solve 18 – m = 6
m =. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(c) Simplify d 2 × d 3
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 7 is 3 marks)
8 Jayne writes down the following
3.4 × 5.3 = 180.2
Without doing the exact calculation, explain why Jayne’s answer cannot be correct.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 8 is 1 mark)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
6969Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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9 The two numbers, A and B, are shown on a scale.
A
0
B
The difference between A and B is 48
Work out the value of A and the value of B.
A =... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
B =... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 9 is 3 marks)
10 Complete this table of values.
n 3n + 2
12... . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . .
47
(Total for Question 10 is 3 marks)
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7 (a) Solve f + 2f + f = 20
f =.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(b) Solve 18 – m = 6
m =. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(c) Simplify d 2 × d 3
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 7 is 3 marks)
8 Jayne writes down the following
3.4 × 5.3 = 180.2
Without doing the exact calculation, explain why Jayne’s answer cannot be correct.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 8 is 1 mark)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
7070 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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13 Here are the first three terms of a sequence.
32 26 20
Find the first two terms in the sequence that are less than zero.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 13 is 3 marks)
14 Here is a triangle ABC.
(a) Mark, with the letter y, the angle CBA.(1)
Here is a cuboid.
Some of the vertices are labelled.
(b) Shade in the face CDEG.(1)
(c) How many edges has a cuboid?
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 14 is 3 marks)
A
C B
A
F E
D
B C
G
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11 The same number is missing from each box.
× × = 343
(a) Find the missing number.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(b) Work out 44
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 11 is 2 marks)
12 Here are two numbers.29 37
Nadia says both of these numbers can be written as the sum of two square numbers.
Is Nadia correct? You must show how you get your answer.
(Total for Question 12 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
7171Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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13 Here are the first three terms of a sequence.
32 26 20
Find the first two terms in the sequence that are less than zero.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 13 is 3 marks)
14 Here is a triangle ABC.
(a) Mark, with the letter y, the angle CBA.(1)
Here is a cuboid.
Some of the vertices are labelled.
(b) Shade in the face CDEG.(1)
(c) How many edges has a cuboid?
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 14 is 3 marks)
A
C B
A
F E
D
B C
G
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11 The same number is missing from each box.
× × = 343
(a) Find the missing number.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(b) Work out 44
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 11 is 2 marks)
12 Here are two numbers.29 37
Nadia says both of these numbers can be written as the sum of two square numbers.
Is Nadia correct? You must show how you get your answer.
(Total for Question 12 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
7272 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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16 Give an example to show that when a piece is cut off a rectangle the perimeter of the new shape
(i) is less than the perimeter of the rectangle,
(ii) is the same as the perimeter of the rectangle,
(iii) is greater than the perimeter of the rectangle.
(Total for Question 16 is 3 marks)
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15 There are 5 grams of fibre in every 100 grams of bread.
A loaf of bread has a weight of 400 g. There are 10 slices of bread in a loaf.
Each slice of bread has the same weight.
Work out the weight of fibre in one slice of bread.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . g
(Total for Question 15 is 3 marks)
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7373Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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16 Give an example to show that when a piece is cut off a rectangle the perimeter of the new shape
(i) is less than the perimeter of the rectangle,
(ii) is the same as the perimeter of the rectangle,
(iii) is greater than the perimeter of the rectangle.
(Total for Question 16 is 3 marks)
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15 There are 5 grams of fibre in every 100 grams of bread.
A loaf of bread has a weight of 400 g. There are 10 slices of bread in a loaf.
Each slice of bread has the same weight.
Work out the weight of fibre in one slice of bread.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . g
(Total for Question 15 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
7474 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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18 In a breakfast cereal, 40% of the weight is fruit. The rest of the cereal is oats.
(a) Write down the ratio of the weight of fruit to the weight of oats. Give your answer in the form 1 : n.
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(2)
A different breakfast cereal is made using only fruit and bran. The ratio of the weight of fruit to the weight of bran is 1 : 3
(b) What fraction of the weight of this cereal is bran?
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 18 is 3 marks)
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17 ABC is an isosceles triangle. When angle A = 70°, there are 3 possible sizes of angle B.
(a) What are they?
.. . . . . . . . . . . . . . . . . . . . . . . . . . .° , . . . . . . . . . . . . . . . . . . . . . . . . . . . . ° , . . . . . . . . . . . . . . . . . . . . . . . . . . . . °(3)
When angle A = 120°, there is only one possible size of angle B.
(b) Explain why.
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(1)
(Total for Question 17 is 4 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
7575Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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18 In a breakfast cereal, 40% of the weight is fruit. The rest of the cereal is oats.
(a) Write down the ratio of the weight of fruit to the weight of oats. Give your answer in the form 1 : n.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
A different breakfast cereal is made using only fruit and bran. The ratio of the weight of fruit to the weight of bran is 1 : 3
(b) What fraction of the weight of this cereal is bran?
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 18 is 3 marks)
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17 ABC is an isosceles triangle. When angle A = 70°, there are 3 possible sizes of angle B.
(a) What are they?
.. . . . . . . . . . . . . . . . . . . . . . . . . . .° , . . . . . . . . . . . . . . . . . . . . . . . . . . . . ° , . . . . . . . . . . . . . . . . . . . . . . . . . . . . °(3)
When angle A = 120°, there is only one possible size of angle B.
(b) Explain why.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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(1)
(Total for Question 17 is 4 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
7676 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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20 E = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A = {multiples of 2} A ∩ B = {2, 6} A ∪ B = {1, 2, 3, 4, 6, 8, 9, 10}
Draw a Venn diagram for this information.
(Total for Question 20 is 4 marks)
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19 Boxes of chocolates cost £3.69 each. A shop has an offer.
Boxes of chocolates
3 for the price of 2
Ali has £50 He is going to get as many boxes of chocolates as possible.
How many boxes of chocolates can Ali get?
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 19 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
7777Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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20 E = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A = {multiples of 2} A ∩ B = {2, 6} A ∪ B = {1, 2, 3, 4, 6, 8, 9, 10}
Draw a Venn diagram for this information.
(Total for Question 20 is 4 marks)
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19 Boxes of chocolates cost £3.69 each. A shop has an offer.
Boxes of chocolates
3 for the price of 2
Ali has £50 He is going to get as many boxes of chocolates as possible.
How many boxes of chocolates can Ali get?
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 19 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
7878 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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For all the other points
(b) (i) draw the line of best fit,
(ii) describe the correlation.
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(2)
A different student revised for 9 hours.
(c) Estimate the mark this student got
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
The Spanish test was marked out of 100
Lucia says,
“I can see from the graph that had I revised for 18 hours I would have got full marks.”
(d) Comment on what Lucia says.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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(1)
(Total for Question 21 is 5 marks)
22 The length, L cm, of a line is measured as 13 cm correct to the nearest centimetre.
Complete the following statement to show the range of possible values of L
. . . . . . . . . . . . . . . . . . . . . . . . . . . L < . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 22 is 2 marks)
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21 The scatter diagram shows information about 10 students.
For each student, it shows the number of hours spent revising and the mark the student achieved in a Spanish test.
One of the points is an outlier.
(a) Write down the coordinates of the outlier.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
100
90
80
70
60
50
40
30
20
10
02 4 6 8 10 12 14 16 18
Mark
Hours spent revising
0
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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For all the other points
(b) (i) draw the line of best fit,
(ii) describe the correlation.
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(2)
A different student revised for 9 hours.
(c) Estimate the mark this student got
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
The Spanish test was marked out of 100
Lucia says,
“I can see from the graph that had I revised for 18 hours I would have got full marks.”
(d) Comment on what Lucia says.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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(1)
(Total for Question 21 is 5 marks)
22 The length, L cm, of a line is measured as 13 cm correct to the nearest centimetre.
Complete the following statement to show the range of possible values of L
. . . . . . . . . . . . . . . . . . . . . . . . . . . L < . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 22 is 2 marks)
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21 The scatter diagram shows information about 10 students.
For each student, it shows the number of hours spent revising and the mark the student achieved in a Spanish test.
One of the points is an outlier.
(a) Write down the coordinates of the outlier.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
100
90
80
70
60
50
40
30
20
10
02 4 6 8 10 12 14 16 18
Mark
Hours spent revising
0
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
8080 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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24 Jenny works in a shop that sells belts.
The table shows information about the waist sizes of 50 customers who bought belts from the shop in May.
Belt size Waist (w inches) Frequency
Small 28 < w 32 24
Medium 32 < w 36 12
Large 36 < w 40 8
Extra Large 40 < w 44 6
(a) Calculate an estimate for the mean waist size.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .inches(3)
Belts are made in sizes Small, Medium, Large and Extra Large.
Jenny needs to order more belts in June. The modal size of belts sold is Small.
Jenny is going to order 34
of the belts in size Small.
The manager of the shop tells Jenny she should not order so many Small belts.
(b) Who is correct, Jenny or the manager? You must give a reason for your answer.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 24 is 5 marks)
16
*S49819A01620*
D
O N
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RITE IN TH
IS AREA
D
O N
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RITE IN TH
IS AREA
D
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D
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TH
IS A
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D
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TH
IS A
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D
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23 Line L is drawn on the grid below.
Find an equation for the straight line L. Give your answer in the form y = mx + c
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 23 is 3 marks)
yL
–2 2
–2
–4
4O x
10
8
6
4
2
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
8181Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
17
*S49819A01720* Turn over
D
O N
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RITE IN TH
IS AREA
D
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RITE IN TH
IS AREA
D
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IS AREA
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IS A
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IS A
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D
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IS A
REA
24 Jenny works in a shop that sells belts.
The table shows information about the waist sizes of 50 customers who bought belts from the shop in May.
Belt size Waist (w inches) Frequency
Small 28 < w 32 24
Medium 32 < w 36 12
Large 36 < w 40 8
Extra Large 40 < w 44 6
(a) Calculate an estimate for the mean waist size.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .inches(3)
Belts are made in sizes Small, Medium, Large and Extra Large.
Jenny needs to order more belts in June. The modal size of belts sold is Small.
Jenny is going to order 34
of the belts in size Small.
The manager of the shop tells Jenny she should not order so many Small belts.
(b) Who is correct, Jenny or the manager? You must give a reason for your answer.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 24 is 5 marks)
16
*S49819A01620*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
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RITE IN TH
IS AREA
D
O N
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IS AREA
D
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D
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23 Line L is drawn on the grid below.
Find an equation for the straight line L. Give your answer in the form y = mx + c
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 23 is 3 marks)
yL
–2 2
–2
–4
4O x
10
8
6
4
2
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
8282 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
19
*S49819A01920*
D
O N
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RITE IN TH
IS AREA
D
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Turn over
Karen is advised to buy 10% more tiles than she estimated. Buying 10% more tiles will affect the number of the tiles Karen needs to buy.
She assumes she will need to buy 10% more packs of tiles.
(b) Is Karen’s assumption correct? You must show your working.
(2)
(Total for Question 25 is 7 marks)
26 Factorise x 2 + 3x – 4
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 26 is 2 marks)
18
*S49819A01820*
D
O N
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RITE IN TH
IS AREA
D
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D
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25 The diagram shows part of a wall in the shape of a trapezium.
0.8 m
1.8 m
2.7 m
Karen is going to cover this part of the wall with tiles. Each rectangular tile is 15 cm by 7.5 cm
Tiles are sold in packs. There are 9 tiles in each pack.
Karen divides the area of the wall by the area of a tile to work out an estimate for the number of tiles she needs to buy.
(a) Use Karen’s method to work out an estimate for the number of packs of tiles she needs to buy.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(5)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
8383Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
19
*S49819A01920*
D
O N
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IS AREA
D
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Turn over
Karen is advised to buy 10% more tiles than she estimated. Buying 10% more tiles will affect the number of the tiles Karen needs to buy.
She assumes she will need to buy 10% more packs of tiles.
(b) Is Karen’s assumption correct? You must show your working.
(2)
(Total for Question 25 is 7 marks)
26 Factorise x 2 + 3x – 4
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 26 is 2 marks)
18
*S49819A01820*
D
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IS AREA
D
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D
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25 The diagram shows part of a wall in the shape of a trapezium.
0.8 m
1.8 m
2.7 m
Karen is going to cover this part of the wall with tiles. Each rectangular tile is 15 cm by 7.5 cm
Tiles are sold in packs. There are 9 tiles in each pack.
Karen divides the area of the wall by the area of a tile to work out an estimate for the number of tiles she needs to buy.
(a) Use Karen’s method to work out an estimate for the number of packs of tiles she needs to buy.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(5)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
8484 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
20
*S49819A02020*
D
O N
OT W
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IS AREA
D
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IS AREA
D
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27 Here are the equations of four straight lines.
Line A y = 2x + 4 Line B 2y = x + 4 Line C 2x + 2y = 4 Line D 2x – y = 4
Two of these lines are parallel. Write down the two parallel lines.
Line .. . . . . . . . . . . . . . . . . . . . . . . . . . . and line.. . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 27 is 1 mark)
28 The densities of two different liquids A and B are in the ratio 19 : 22
The mass of 1 cm3 of liquid B is 1.1 g.
5 cm3 of liquid A is mixed with 15 cm3 of liquid B to make 20 cm3 of liquid C.
Work out the density of liquid C.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .g/cm3
(Total for Question 28 is 4 marks)
TOTAL FOR PAPER IS 80 MARKS
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
8585Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
20
*S49819A02020*
D
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D
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D
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27 Here are the equations of four straight lines.
Line A y = 2x + 4 Line B 2y = x + 4 Line C 2x + 2y = 4 Line D 2x – y = 4
Two of these lines are parallel. Write down the two parallel lines.
Line .. . . . . . . . . . . . . . . . . . . . . . . . . . . and line.. . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 27 is 1 mark)
28 The densities of two different liquids A and B are in the ratio 19 : 22
The mass of 1 cm3 of liquid B is 1.1 g.
5 cm3 of liquid A is mixed with 15 cm3 of liquid B to make 20 cm3 of liquid C.
Work out the density of liquid C.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .g/cm3
(Total for Question 28 is 4 marks)
TOTAL FOR PAPER IS 80 MARKS
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Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
8686 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
8787Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
8888 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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rect
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
8989Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
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Que
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21(a
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Posi
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Pape
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Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
9090 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Centre Number Candidate Number
Write your name hereSurname Other names
Total Marks
Paper Reference
Turn over
S49816A©2015 Pearson Education Ltd.
6/6/6/
*S49816A0120*
MathematicsPaper 1 (Non-Calculator)
Higher TierSpecimen Papers Set 1
Time: 1 hour 30 minutes 1MA1/1HYou must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser.
Instructions
• Use black ink or ball-point pen.• Fill in the boxes at the top of this page with your name, centre number and candidate number.• Answer all questions.• Answer the questions in the spaces provided
– there may be more space than you need.• Calculators may not be used.• Diagrams are NOT accurately drawn, unless otherwise indicated.• You must show all your working out.
Information
• The total mark for this paper is 80 • The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
• Read each question carefully before you start to answer it.• Keep an eye on the time.• Try to answer every question.• Check your answers if you have time at the end.
Pearson EdexcelLevel 1/Level 2 GCSE (9 - 1)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
9191Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Centre Number Candidate Number
Write your name hereSurname Other names
Total Marks
Paper Reference
Turn over
S49816A©2015 Pearson Education Ltd.
6/6/6/
*S49816A0120*
MathematicsPaper 1 (Non-Calculator)
Higher TierSpecimen Papers Set 1
Time: 1 hour 30 minutes 1MA1/1HYou must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser.
Instructions
• Use black ink or ball-point pen.• Fill in the boxes at the top of this page with your name, centre number and candidate number.• Answer all questions.• Answer the questions in the spaces provided
– there may be more space than you need.• Calculators may not be used.• Diagrams are NOT accurately drawn, unless otherwise indicated.• You must show all your working out.
Information
• The total mark for this paper is 80 • The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
• Read each question carefully before you start to answer it.• Keep an eye on the time.• Try to answer every question.• Check your answers if you have time at the end.
Pearson EdexcelLevel 1/Level 2 GCSE (9 - 1)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
9292 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
3
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3 There are only red counters, blue counters, green counters and yellow counters in a bag.
The table shows the probabilities of picking at random a red counter and picking at random a yellow counter.
Colour red blue green yellow
Probability 0.24 0.32
The probability of picking a blue counter is the same as the probability of picking a green counter.
Complete the table.
(Total for Question 3 is 2 marks)
4 A pattern is made using identical rectangular tiles.
7 cm
11 cm
Find the total area of the pattern.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . cm2
(Total for Question 4 is 4 marks)
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Answer ALL questions.
Write your answers in the spaces provided.
You must write down all the stages in your working.
1 The diagram shows a right-angled triangle.
7x 5x + 18
All the angles are in degrees.
Work out the size of the smallest angle of the triangle.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .°
(Total for Question 1 is 3 marks)
2 A box exerts a force of 140 newtons on a table. The pressure on the table is 35 newtons/m2.
Calculate the area of the box that is in contact with the table.p F
A=
p = pressureF = forceA = area
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 2 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
9393Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
3
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3 There are only red counters, blue counters, green counters and yellow counters in a bag.
The table shows the probabilities of picking at random a red counter and picking at random a yellow counter.
Colour red blue green yellow
Probability 0.24 0.32
The probability of picking a blue counter is the same as the probability of picking a green counter.
Complete the table.
(Total for Question 3 is 2 marks)
4 A pattern is made using identical rectangular tiles.
7 cm
11 cm
Find the total area of the pattern.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . cm2
(Total for Question 4 is 4 marks)
2
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Answer ALL questions.
Write your answers in the spaces provided.
You must write down all the stages in your working.
1 The diagram shows a right-angled triangle.
7x 5x + 18
All the angles are in degrees.
Work out the size of the smallest angle of the triangle.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .°
(Total for Question 1 is 3 marks)
2 A box exerts a force of 140 newtons on a table. The pressure on the table is 35 newtons/m2.
Calculate the area of the box that is in contact with the table.p F
A=
p = pressureF = forceA = area
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 2 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
9494 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
5
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6 Four friends each throw a biased coin a number of times. The table shows the number of heads and the number of tails each friend got.
Ben Helen Paul Sharif
heads 34 66 80 120
tails 8 12 40 40
The coin is to be thrown one more time.
(a) Which of the four friends’ results will give the best estimate for the probability that the coin will land heads?
Justify your answer.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
Paul says,“With this coin you are twice as likely to get heads as to get tails.”
(b) Is Paul correct? Justify your answer.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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(2)
The coin is to be thrown twice.
(c) Use all the results in the table to work out an estimate for the probability that the coin will land heads both times.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (2)
(Total for Question 6 is 5 marks)
4
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5 The diagram shows a sand pit. The sand pit is in the shape of a cuboid.
Sally wants to fill the sand pit with sand. A bag of sand costs £2.50 There are 8 litres of sand in each bag.
100 cm60 cm
40 cm
Sally says,“The sand will cost less than £70”
Show that Sally is wrong.
(Total for Question 5 is 5 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
9595Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
5
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6 Four friends each throw a biased coin a number of times. The table shows the number of heads and the number of tails each friend got.
Ben Helen Paul Sharif
heads 34 66 80 120
tails 8 12 40 40
The coin is to be thrown one more time.
(a) Which of the four friends’ results will give the best estimate for the probability that the coin will land heads?
Justify your answer.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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(1)
Paul says,“With this coin you are twice as likely to get heads as to get tails.”
(b) Is Paul correct? Justify your answer.
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(2)
The coin is to be thrown twice.
(c) Use all the results in the table to work out an estimate for the probability that the coin will land heads both times.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (2)
(Total for Question 6 is 5 marks)
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5 The diagram shows a sand pit. The sand pit is in the shape of a cuboid.
Sally wants to fill the sand pit with sand. A bag of sand costs £2.50 There are 8 litres of sand in each bag.
100 cm60 cm
40 cm
Sally says,“The sand will cost less than £70”
Show that Sally is wrong.
(Total for Question 5 is 5 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
9696 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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8 The mass of Jupiter is 1.899 × 1027 kg. The mass of Saturn is 0.3 times the mass of Jupiter.
(a) Work out an estimate for the mass of Saturn. Give your answer in standard form.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . kg(3)
(b) Give evidence to show whether your answer to (a) is an underestimate or an overestimate.
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(1)
(Total for Question 8 is 4 marks)
9 Walkden Reds is a basketball team.
At the end of 11 games, their mean score was 33 points per game. At the end of 10 games, their mean score was 2 points higher.
Jordan says,“Walkden Reds must have scored 13 points in their 11th game.”
Is Jordan right? You must show how you get your answer.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 9 is 3 marks)
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7 (a) Write down the exact value of cos30°
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (1)
(b)
x cm12 cm
30°
Given that sin30° = 0.5, work out the value of x.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (2)
(Total for Question 7 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
9797Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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8 The mass of Jupiter is 1.899 × 1027 kg. The mass of Saturn is 0.3 times the mass of Jupiter.
(a) Work out an estimate for the mass of Saturn. Give your answer in standard form.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . kg(3)
(b) Give evidence to show whether your answer to (a) is an underestimate or an overestimate.
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(1)
(Total for Question 8 is 4 marks)
9 Walkden Reds is a basketball team.
At the end of 11 games, their mean score was 33 points per game. At the end of 10 games, their mean score was 2 points higher.
Jordan says,“Walkden Reds must have scored 13 points in their 11th game.”
Is Jordan right? You must show how you get your answer.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 9 is 3 marks)
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7 (a) Write down the exact value of cos30°
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (1)
(b)
x cm12 cm
30°
Given that sin30° = 0.5, work out the value of x.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (2)
(Total for Question 7 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
9898 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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12 Sean drives from Manchester to Gretna Green.
He drives at an average speed of 50 mph for the first 3 hours of his journey.
He then has 150 miles to drive to get to Gretna Green. Sean drives these 150 miles at an average speed of 30 mph.
Sean says,“My average speed from Manchester to Gretna Green was 40 mph.”
Is Sean right? You must show how you get your answer.
(Total for Question 12 is 4 marks)
13 m = k 3 14+
Make k the subject of the formula.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 13 is 3 marks)
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10 There are some red counters and some yellow counters in a bag. There are 30 yellow counters in the bag. The ratio of the number of red counters to the number of yellow counters is 1:6
(a) Work out the number of red counters in the bag.
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Riza puts some more red counters into the bag. The ratio of the number of red counters to the number of yellow counters is now 1:2
(b) How many red counters does Riza put into the bag?
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (2)
(Total for Question 10 is 4 marks)
11 Write down the value of 12523
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 11 is 1 mark)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
9999Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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12 Sean drives from Manchester to Gretna Green.
He drives at an average speed of 50 mph for the first 3 hours of his journey.
He then has 150 miles to drive to get to Gretna Green. Sean drives these 150 miles at an average speed of 30 mph.
Sean says,“My average speed from Manchester to Gretna Green was 40 mph.”
Is Sean right? You must show how you get your answer.
(Total for Question 12 is 4 marks)
13 m = k 3 14+
Make k the subject of the formula.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 13 is 3 marks)
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10 There are some red counters and some yellow counters in a bag. There are 30 yellow counters in the bag. The ratio of the number of red counters to the number of yellow counters is 1:6
(a) Work out the number of red counters in the bag.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (2)
Riza puts some more red counters into the bag. The ratio of the number of red counters to the number of yellow counters is now 1:2
(b) How many red counters does Riza put into the bag?
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (2)
(Total for Question 10 is 4 marks)
11 Write down the value of 12523
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 11 is 1 mark)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
100100 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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16 These graphs show four different proportionality relationships between y and x.
y
O x
y
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Graph A Graph B
y
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y
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Graph C Graph D
Match each graph with a statement in the table below.
Proportionality relationship Graph letter
y is directly proportional to x
y is inversely proportional to x
y is proportional to the square of x
y is inversely proportional to the square of x
(Total for Question 16 is 2 marks)
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14 Solve xx
xx
+ + − =23
22
3
x = .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 14 is 3 marks)
15 Show that 2 3 56 5
2
2x x
x x− −
+ + can be written in the form ax b
cx d++
where a, b, c and d are integers.
(Total for Question 15 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
101101Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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16 These graphs show four different proportionality relationships between y and x.
y
O x
y
O x
Graph A Graph B
y
O x
y
O x
Graph C Graph D
Match each graph with a statement in the table below.
Proportionality relationship Graph letter
y is directly proportional to x
y is inversely proportional to x
y is proportional to the square of x
y is inversely proportional to the square of x
(Total for Question 16 is 2 marks)
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14 Solve xx
xx
+ + − =23
22
3
x = .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 14 is 3 marks)
15 Show that 2 3 56 5
2
2x x
x x− −
+ + can be written in the form ax b
cx d++
where a, b, c and d are integers.
(Total for Question 15 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
102102 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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18 The diagram shows a solid hemisphere.
Volume of sphere = 43πr3
Surface area of sphere = 4πr2
r
The volume of the hemisphere is 2503
π
Work out the exact total surface area of the solid hemisphere. Giveyouranswerasamultipleofπ.
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(Total for Question 18 is 4 marks)
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17P
Q
S T
R
PQ = PR. S is the midpoint of PQ. T is the midpoint of PR.
Prove triangle QTR is congruent to triangle RSQ.
(Total for Question 17 is 3 marks)
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103103Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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18 The diagram shows a solid hemisphere.
Volume of sphere = 43πr3
Surface area of sphere = 4πr2
r
The volume of the hemisphere is 2503
π
Work out the exact total surface area of the solid hemisphere. Giveyouranswerasamultipleofπ.
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(Total for Question 18 is 4 marks)
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RIT
E IN
TH
IS AR
EA
D
O N
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TH
IS AR
EA
D
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17P
Q
S T
R
PQ = PR. S is the midpoint of PQ. T is the midpoint of PR.
Prove triangle QTR is congruent to triangle RSQ.
(Total for Question 17 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
104104 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
15
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AR
EA
D
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WR
ITE
IN T
HIS
AR
EA
21 There are 10 pens in a box.
There are x red pens in the box. All the other pens are blue.
Jack takes at random two pens from the box.
Find an expression, in terms of x, for the probability that Jack takes one pen of each colour. Give your answer in its simplest form.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 21 is 5 marks)
14
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ITE
IN T
HIS
AR
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AR
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AR
EA
19 Simplify fully ( )( )6 5 6 531
− +
You must show your working.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 19 is 3 marks)
20 Prove algebraically that the difference between the squares of any two consecutive integers is equal to the sum of these two integers.
(Total for Question 20 is 4 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
105105Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
15
*S49816A01520* Turn over
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EA
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E IN
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IS AR
EA
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O N
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E IN
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IS AR
EA
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ITE
IN T
HIS
AR
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IN T
HIS
AR
EA
21 There are 10 pens in a box.
There are x red pens in the box. All the other pens are blue.
Jack takes at random two pens from the box.
Find an expression, in terms of x, for the probability that Jack takes one pen of each colour. Give your answer in its simplest form.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 21 is 5 marks)
14
*S49816A01420*
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E IN
TH
IS AR
EA
D
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ITE
IN T
HIS
AR
EA
D
O N
OT
WR
ITE
IN T
HIS
AR
EA
D
O N
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WR
ITE
IN T
HIS
AR
EA
19 Simplify fully ( )( )6 5 6 531
− +
You must show your working.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 19 is 3 marks)
20 Prove algebraically that the difference between the squares of any two consecutive integers is equal to the sum of these two integers.
(Total for Question 20 is 4 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
106106 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
17
*S49816A01720*
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EA
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O N
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RIT
E IN
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IS AR
EA
D
O N
OT
WR
ITE
IN T
HIS
AR
EA
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ITE
IN T
HIS
AR
EA
D
O N
OT
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ITE
IN T
HIS
AR
EA
23
B
y
xA
C (5, –1)
4
O–2
Find an equation of the line that passes through C and is perpendicular to AB.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 23 is 4 marks)
TOTAL FOR PAPER IS 80 MARKS
16
*S49816A01620*
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O N
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RIT
E IN
TH
IS AR
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D
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ITE
IN T
HIS
AR
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22 B
Y
CA
5a – b
6b
3a
CAYB is a quadrilateral.
CA→
= 3a CB→
= 6b BY
→ = 5a – b
X is the point on AB such that AX : XB = 1 : 2
Prove that CX→
= 25
CY→
(Total for Question 22 is 5 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
107107Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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*S49816A01720*
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O N
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E IN
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IS AR
EA
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O N
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RIT
E IN
TH
IS AR
EA
D
O N
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WR
ITE
IN T
HIS
AR
EA
D
O N
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WR
ITE
IN T
HIS
AR
EA
D
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IN T
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AR
EA
23
B
y
xA
C (5, –1)
4
O–2
Find an equation of the line that passes through C and is perpendicular to AB.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 23 is 4 marks)
TOTAL FOR PAPER IS 80 MARKS
16
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AR
EA
22 B
Y
CA
5a – b
6b
3a
CAYB is a quadrilateral.
CA→
= 3a CB→
= 6b BY
→ = 5a – b
X is the point on AB such that AX : XB = 1 : 2
Prove that CX→
= 25
CY→
(Total for Question 22 is 5 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
108108 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
109109Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
110110 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
111111Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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Pape
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Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
112112 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Pape
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Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
113113Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Pape
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A1:
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Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
114114 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
1H
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1M
1ex
pand
s bra
cket
s eg
36
+ 6√
5 –
6√5
−√25
(=3
1)M
1ra
tiona
lises
the
deno
min
ator
eg
usin
g √3
1 w
ith n
umer
ator
& d
enom
inat
orA
1fo
r √31
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
115115Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Pape
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and
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R a
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Q w
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eg S
AS
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and
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to fi
nd ra
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P1st
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eg
(4 ×
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plet
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eg (4
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1fo
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Pape
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for a
ny tw
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utiv
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tege
rs
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esse
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gebr
aica
lly e
g n
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and
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for s
ight
of p
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(p–
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(sup
porte
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or th
e di
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ence
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uare
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two
cons
ecut
ive
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gers
” ex
pres
sed
alge
brai
cally
eg
(n+
1)2
− n2
for d
educ
tion
that
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q=
1
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orre
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xpan
sion
and
si
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ifica
tion
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ence
of
squa
res e
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for l
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ese
two
stat
emen
ts e
g su
bstit
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n of
1 fo
r p−
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for s
how
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t is c
orre
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ortiv
e ev
iden
ce)
eg n
+n
+ 1
= 2n
+ 1
and
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1)2
− n2
= 2n
+ 1
for f
ully
stat
ed p
roof
and
ded
uctio
n eg
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× (p
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= p
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212
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x−
P1fo
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1
9x−or
109
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or 9x
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n di
agra
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r
in a
cal
cula
tion
P1fo
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9x
−or
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x−
×9x
for
10x×
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10x
−×
99
x−
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r 10x
×10
9x
−+
1010
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for 1
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9x
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r beg
inni
ng to
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cess
the
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bra
A1
210
45xx
−oe
Centre Number Candidate Number
Write your name hereSurname Other names
Total Marks
Paper Reference
Turn over
S49818A©2015 Pearson Education Ltd.
6/6/6/
*S49818A0124*
MathematicsPaper 2 (Calculator)
Higher TierSpecimen Papers Set 1
Time: 1 hour 30 minutes 1MA1/2HYou must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser, calculator.
Instructions
• Use black ink or ball-point pen.• Fill in the boxes at the top of this page with your name, centre number and candidate number.• Answer all questions.• Answer the questions in the spaces provided
– there may be more space than you need.• Calculators may be used.• If your calculator does not have a π button, take the value of π to be 3.142
unless the question instructs otherwise.• Diagrams are NOT accurately drawn, unless otherwise indicated.• You must show all your working out.
Information
• The total mark for this paper is 80• The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
• Read each question carefully before you start to answer it.• Keep an eye on the time.• Try to answer every question.• Check your answers if you have time at the end.
Pearson Edexcel Level 1/Level 2 GCSE (9 - 1)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
116116 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
1H
Que
stio
nW
orki
ngA
nsw
erN
otes
22M
1st
ates
AB
as 6
b–
3aM
1fo
rAX
= ⅓
ABor
⅓“(
6b–
3a)”
or ft
to 2
b–
aM
1fo
r C
Y
=CB
+BY
= 6b
+ 5a
–b
(=5b
+ 5a
)M
1fo
r C
X
= 3a
+ “
2b –
a” o
r C
X
= 6b
− ⅔
“(6b
–3a
)”
(= 2
a+
2b)
C1
for
22
55
CY=
(5a
+ 5b
) = 2
(a+
b) =
CX
231
32
2y
x=−
+
P1fo
r a p
roce
ss to
find
the
grad
ient
of t
he li
ne A
B
P1(d
ep) f
or a
pro
cess
to fi
nd th
e gr
adie
nt o
f a p
erpe
ndic
ular
line
eg
use
of −
1/m
P1(d
ep o
n P2
) for
subs
titut
ion
of x
=5, y
=−1
A1
equa
tion
stat
ed o
e
Centre Number Candidate Number
Write your name hereSurname Other names
Total Marks
Paper Reference
Turn over
S49818A©2015 Pearson Education Ltd.
6/6/6/
*S49818A0124*
MathematicsPaper 2 (Calculator)
Higher TierSpecimen Papers Set 1
Time: 1 hour 30 minutes 1MA1/2HYou must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser, calculator.
Instructions
• Use black ink or ball-point pen.• Fill in the boxes at the top of this page with your name, centre number and candidate number.• Answer all questions.• Answer the questions in the spaces provided
– there may be more space than you need.• Calculators may be used.• If your calculator does not have a π button, take the value of π to be 3.142
unless the question instructs otherwise.• Diagrams are NOT accurately drawn, unless otherwise indicated.• You must show all your working out.
Information
• The total mark for this paper is 80• The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
• Read each question carefully before you start to answer it.• Keep an eye on the time.• Try to answer every question.• Check your answers if you have time at the end.
Pearson Edexcel Level 1/Level 2 GCSE (9 - 1)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
117117Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
1H
Que
stio
nW
orki
ngA
nsw
erN
otes
22M
1st
ates
AB
as 6
b–
3aM
1fo
rAX
= ⅓
ABor
⅓“(
6b–
3a)”
or ft
to 2
b–
aM
1fo
r C
Y
=CB
+BY
= 6b
+ 5a
–b
(=5b
+ 5a
)M
1fo
r C
X
= 3a
+ “
2b –
a” o
r C
X
= 6b
− ⅔
“(6b
–3a
)”
(= 2
a+
2b)
C1
for
22
55
CY=
(5a
+ 5b
) = 2
(a+
b) =
CX
231
32
2y
x=−
+
P1fo
r a p
roce
ss to
find
the
grad
ient
of t
he li
ne A
B
P1(d
ep) f
or a
pro
cess
to fi
nd th
e gr
adie
nt o
f a p
erpe
ndic
ular
line
eg
use
of −
1/m
P1(d
ep o
n P2
) for
subs
titut
ion
of x
=5, y
=−1
A1
equa
tion
stat
ed o
e
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
118118 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
3
*S49818A0324* Turn over
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2 Three companies sell the same type of furniture.
The price of the furniture from Pooles of London is £1480 The price of the furniture from Jardins of Paris is €1980 The price of the furniture from Outways of New York is $2250
The exchange rates are
£1 = €1.34
£1 = $1.52
Which company sells this furniture at the lowest price? You must show how you get your answer.
(Total for Question 2 is 3 marks)
2
*S49818A0224*
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Answer ALL questions.
Write your answers in the spaces provided.
You must write down all the stages in your working.
1 Make t the subject of the formula w = 3t + 11
... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 1 is 2 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
119119Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
3
*S49818A0324* Turn over
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2 Three companies sell the same type of furniture.
The price of the furniture from Pooles of London is £1480 The price of the furniture from Jardins of Paris is €1980 The price of the furniture from Outways of New York is $2250
The exchange rates are
£1 = €1.34
£1 = $1.52
Which company sells this furniture at the lowest price? You must show how you get your answer.
(Total for Question 2 is 3 marks)
2
*S49818A0224*
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Answer ALL questions.
Write your answers in the spaces provided.
You must write down all the stages in your working.
1 Make t the subject of the formula w = 3t + 11
... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 1 is 2 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
120120 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
5
*S49818A0524* Turn over
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4 The grouped frequency table gives information about the heights of 30 students.
Height (h cm) Frequency
130 < h 140 1
140 < h 150 7
150 < h 160 8
160 < h 170 10
170 < h 180 4
(a) Write down the modal class interval.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
This incorrect frequency polygon has been drawn for the information in the table.
(b) Write down two things wrong with this incorrect frequency polygon.
1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 4 is 3 marks)
12
10
8
6
4
2
0120 130 140 150 160 170 180 190
Height (h cm)
Frequency
4
*S49818A0424*
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3 The time-series graph gives some information about the number of pairs of shoes sold in a shoe shop in the first six months of 2014
The sales target for the first six months of 2014 was to sell a mean of 96 pairs of shoes per month.
Did the shoe shop meet this sales target? You must show how you get your answer.
(Total for Question 3 is 3 marks)
140
120
100
80
60January February March April May June
Months
Number of pairs of shoes sold
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
121121Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
5
*S49818A0524* Turn over
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4 The grouped frequency table gives information about the heights of 30 students.
Height (h cm) Frequency
130 < h 140 1
140 < h 150 7
150 < h 160 8
160 < h 170 10
170 < h 180 4
(a) Write down the modal class interval.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
This incorrect frequency polygon has been drawn for the information in the table.
(b) Write down two things wrong with this incorrect frequency polygon.
1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 4 is 3 marks)
12
10
8
6
4
2
0120 130 140 150 160 170 180 190
Height (h cm)
Frequency
4
*S49818A0424*
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3 The time-series graph gives some information about the number of pairs of shoes sold in a shoe shop in the first six months of 2014
The sales target for the first six months of 2014 was to sell a mean of 96 pairs of shoes per month.
Did the shoe shop meet this sales target? You must show how you get your answer.
(Total for Question 3 is 3 marks)
140
120
100
80
60January February March April May June
Months
Number of pairs of shoes sold
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
122122 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
7
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6 Toby invested £7500 for 2 years in a savings account. He was paid 4% per annum compound interest.
How much money did Toby have in his savings account at the end of 2 years?
£ .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 6 is 2 marks)
7 Becky has some marbles. Chris has two times as many marbles as Becky. Dan has seven more marbles than Chris.
They have a total of 57 marbles.
Dan says, “If I give some marbles to Becky, each of us will have the same number of marbles.”
Is Dan correct? You must show how you get your answer.
(Total for Question 7 is 3 marks)
6
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5 At 9 am, Bradley began a journey on his bicycle.
From 9 am to 9.36 am, he cycled at an average speed of 15 km/h. From 9.36 am to 10.45 am, he cycled a further 8 km.
(a) Draw a travel graph to show Bradley’s journey.
(3)
From 10.45 am to 11 am, Bradley cycled at an average speed of 18 km/h.
(b) Work out the distance Bradley cycled from 10.45 am to 11 am.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . km(2)
(Total for Question 5 is 5 marks)
20
15
10
5
09 am
Time of day
Distance in km
9.30 am 10 am 11am10.30 am
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
123123Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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6 Toby invested £7500 for 2 years in a savings account. He was paid 4% per annum compound interest.
How much money did Toby have in his savings account at the end of 2 years?
£ .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 6 is 2 marks)
7 Becky has some marbles. Chris has two times as many marbles as Becky. Dan has seven more marbles than Chris.
They have a total of 57 marbles.
Dan says, “If I give some marbles to Becky, each of us will have the same number of marbles.”
Is Dan correct? You must show how you get your answer.
(Total for Question 7 is 3 marks)
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5 At 9 am, Bradley began a journey on his bicycle.
From 9 am to 9.36 am, he cycled at an average speed of 15 km/h. From 9.36 am to 10.45 am, he cycled a further 8 km.
(a) Draw a travel graph to show Bradley’s journey.
(3)
From 10.45 am to 11 am, Bradley cycled at an average speed of 18 km/h.
(b) Work out the distance Bradley cycled from 10.45 am to 11 am.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . km(2)
(Total for Question 5 is 5 marks)
20
15
10
5
09 am
Time of day
Distance in km
9.30 am 10 am 11am10.30 am
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
124124 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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9 The diagram shows the positions of three points, A, B and C, on a map.
N
N
N
A
C
B
50°
The bearing of B from A is 070°
Angle ABC is 50° AB = CB
Work out the bearing of C from A.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . °
(Total for Question 9 is 3 marks)
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8 Here is a diagram showing a rectangle, ABCD, and a circle.
A B
D C
19cm
19cm
16cm
BC is a diameter of the circle.
Calculate the percentage of the area of the rectangle that is shaded. Give your answer correct to 1 decimal place.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . %
(Total for Question 8 is 4 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
125125Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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9 The diagram shows the positions of three points, A, B and C, on a map.
N
N
N
A
C
B
50°
The bearing of B from A is 070°
Angle ABC is 50° AB = CB
Work out the bearing of C from A.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . °
(Total for Question 9 is 3 marks)
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8 Here is a diagram showing a rectangle, ABCD, and a circle.
A B
D C
19cm
19cm
16cm
BC is a diameter of the circle.
Calculate the percentage of the area of the rectangle that is shaded. Give your answer correct to 1 decimal place.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . %
(Total for Question 8 is 4 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
126126 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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11 Finlay plays two tennis matches.
The probability that he will win a match and the probability that he will lose a match are shown in the probability tree diagram.
First match Second match
win
lose
0.7
0.3
win
lose
0.7
0.3
win
lose
0.7
0.3
(a) Work out the probability that Finlay wins both matches.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(b) Work out the probability that Finlay loses at least one match.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 11 is 4 marks)
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10 The graph shows the depth, d cm, of water in a tank after t seconds.
(a) Find the gradient of this graph.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(b) Explain what this gradient represents.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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(1)
(Total for Question 10 is 3 marks)
240
180
120
60
0
Time (t seconds)
Depth (d cm)
0 20 40 60 80 100 120 140
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
127127Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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11 Finlay plays two tennis matches.
The probability that he will win a match and the probability that he will lose a match are shown in the probability tree diagram.
First match Second match
win
lose
0.7
0.3
win
lose
0.7
0.3
win
lose
0.7
0.3
(a) Work out the probability that Finlay wins both matches.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(b) Work out the probability that Finlay loses at least one match.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 11 is 4 marks)
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10 The graph shows the depth, d cm, of water in a tank after t seconds.
(a) Find the gradient of this graph.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(b) Explain what this gradient represents.
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(1)
(Total for Question 10 is 3 marks)
240
180
120
60
0
Time (t seconds)
Depth (d cm)
0 20 40 60 80 100 120 140
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
128128 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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14 ABC and ABD are two right-angled triangles.
Angle BAC = angle ADB = 90°
AB = 13 cm DB = 5 cm
Work out the length of CB.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . cm
(Total for Question 14 is 3 marks)
A
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5cm BDC
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12 (a) Find the reciprocal of 2.5
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(b) Work out 4.3 tan 3923.4 _ 6.06
× °3
Give your answer correct to 3 significant figures.
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(2)
(Total for Question 12 is 3 marks)
13 Show that
(3x – 1)(x + 5)(4x – 3) = 12x3 + 47x2 – 62x + 15
for all values of x.
(Total of Question 13 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
129129Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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14 ABC and ABD are two right-angled triangles.
Angle BAC = angle ADB = 90°
AB = 13 cm DB = 5 cm
Work out the length of CB.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . cm
(Total for Question 14 is 3 marks)
A
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5cm BDC
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12 (a) Find the reciprocal of 2.5
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(b) Work out 4.3 tan 3923.4 _ 6.06
× °3
Give your answer correct to 3 significant figures.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 12 is 3 marks)
13 Show that
(3x – 1)(x + 5)(4x – 3) = 12x3 + 47x2 – 62x + 15
for all values of x.
(Total of Question 13 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
130130 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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16 The histogram gives information about house prices in a village in 2015
20 houses in the village have a price between £300000 and £400000
Work out the number of houses in the village with a price under £200000
... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 16 is 3 marks)
Price (£ thousands)
Frequency density
0 100 200 300 400 500 600 700 800 900 1000
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15 A pendulum of length L cm has time period T seconds. T is directly proportional to the square root of L.
The length of the pendulum is increased by 40%.
Work out the percentage increase in the time period.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .%
(Total for Question 15 is 3 marks)
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131131Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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16 The histogram gives information about house prices in a village in 2015
20 houses in the village have a price between £300000 and £400000
Work out the number of houses in the village with a price under £200000
... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 16 is 3 marks)
Price (£ thousands)
Frequency density
0 100 200 300 400 500 600 700 800 900 1000
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15 A pendulum of length L cm has time period T seconds. T is directly proportional to the square root of L.
The length of the pendulum is increased by 40%.
Work out the percentage increase in the time period.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .%
(Total for Question 15 is 3 marks)
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132132 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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19 Here is a right-angled triangle.
x
x – 2
All measurements are in centimetres. The area of the triangle is 2.5 cm2.
Find the perimeter of the triangle. Give your answer correct to 3 significant figures. You must show all of your working.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . cm
(Total for Question 19 is 6 marks)
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17 Here are the first 5 terms of a quadratic sequence.
1 3 7 13 21
Find an expression, in terms of n, for the nth term of this quadratic sequence.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 17 is 3 marks)
18 f(x) = 3x2 – 2x – 8
Express f(x + 2) in the form ax2 + bx
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 18 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
133133Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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19 Here is a right-angled triangle.
x
x – 2
All measurements are in centimetres. The area of the triangle is 2.5 cm2.
Find the perimeter of the triangle. Give your answer correct to 3 significant figures. You must show all of your working.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . cm
(Total for Question 19 is 6 marks)
16
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17 Here are the first 5 terms of a quadratic sequence.
1 3 7 13 21
Find an expression, in terms of n, for the nth term of this quadratic sequence.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 17 is 3 marks)
18 f(x) = 3x2 – 2x – 8
Express f(x + 2) in the form ax2 + bx
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 18 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
134134 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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21 The number of bees in a beehive at the start of year n is Pn. The number of bees in the beehive at the start of the following year is given by
Pn + 1 = 1.05(Pn – 250)
At the start of 2015 there were 9500 bees in the beehive.
How many bees will there be in the beehive at the start of 2018?
... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 21 is 3 marks)
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20 The graph shows information about the velocity, v m/s, of a parachutist t seconds after leaving a plane.
(a) Work out an estimate for the acceleration of the parachutist at t = 6
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . m/s2
(2)
(b) Work out an estimate for the distance fallen by the parachutist in the first 12 seconds after leaving the plane. Use 3 strips of equal width.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . m(3)
(Total for Question 20 is 5 marks)
40
30
20
10
O
Time (seconds)
Velocity (m/s)
2 4 6 8 10 12
50
60
t
v
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
135135Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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21 The number of bees in a beehive at the start of year n is Pn. The number of bees in the beehive at the start of the following year is given by
Pn + 1 = 1.05(Pn – 250)
At the start of 2015 there were 9500 bees in the beehive.
How many bees will there be in the beehive at the start of 2018?
... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 21 is 3 marks)
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20 The graph shows information about the velocity, v m/s, of a parachutist t seconds after leaving a plane.
(a) Work out an estimate for the acceleration of the parachutist at t = 6
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . m/s2
(2)
(b) Work out an estimate for the distance fallen by the parachutist in the first 12 seconds after leaving the plane. Use 3 strips of equal width.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . m(3)
(Total for Question 20 is 5 marks)
40
30
20
10
O
Time (seconds)
Velocity (m/s)
2 4 6 8 10 12
50
60
t
v
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
136136 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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23 Here is a circle, centre O, and the tangent to the circle at the point P(4, 3) on the circle.
y
5
O– 5 5 x
– 5
P(4, 3)
Find an equation of the tangent at the point P.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 23 is 3 marks)
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22 D = xy
x = 99.7 correct to 1 decimal place. y = 67 correct to 2 significant figures.
Work out an upper bound for D.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 22 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
137137Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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23 Here is a circle, centre O, and the tangent to the circle at the point P(4, 3) on the circle.
y
5
O– 5 5 x
– 5
P(4, 3)
Find an equation of the tangent at the point P.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 23 is 3 marks)
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22 D = xy
x = 99.7 correct to 1 decimal place. y = 67 correct to 2 significant figures.
Work out an upper bound for D.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 22 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
138138 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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24 A, B and C are points on the circumference of a circle centre O.
A
O
CB
Prove that angle BOC is twice the size of angle BAC.
(Total for Question 24 is 4 marks)
TOTAL FOR PAPER IS 80 MARKS
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
139139Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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24 A, B and C are points on the circumference of a circle centre O.
A
O
CB
Prove that angle BOC is twice the size of angle BAC.
(Total for Question 24 is 4 marks)
TOTAL FOR PAPER IS 80 MARKS
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
140140 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
141141Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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Pape
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Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
142142 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Pape
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Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
143143Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
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Pape
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at l
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gle
of 7
0o(o
n th
e di
agra
m),
show
ing
unde
rsta
ndin
g of
not
atio
nfo
r pro
cess
to fi
nd a
n an
gle
in tr
iang
le A
BC,e
g.
for p
roce
ss to
find
ang
le B
AC, e
g. (1
80 –
50) ÷
2
(= 6
5o )fo
r 135
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
144144 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
2H
Que
stio
nW
orki
ngA
nsw
erN
otes
10a b
–1.5
M1
A1
C1
for m
etho
d to
find
gra
dien
t, eg
. 210
÷ 1
40fo
r cor
rect
inte
rpre
tatio
n of
the
nega
tive
grad
ient
for e
xpla
natio
n, e
g. ra
te o
f cha
nge
of d
epth
of
wat
er in
tank
11a b
0.49
0.51
M1
A1
M1
A1
for 0
.7 ×
0.7
for 0
.49
oe
for a
cor
rect
pro
cess
, eg.
1 –
"0.4
9"
or 0
.7 ×
0.3
+ 0
.3×
0.7
+ 0.
3 ×
0.3
for 0
.51
oe
12a b
0.4
0.58
6
B1
B1
B1
For 0
.4 o
e
for 3
.482
07...
.. or
17.
34 o
r 0.2
0081
1...
for 0
.585
to 0
.586
13Fu
lly c
orre
ct
alge
bra
to sh
ow
give
n re
sult
M1
M1
A1
for m
etho
d to
find
the
prod
uct o
f any
two
linea
r ex
pres
sion
s; e
g. 3
cor
rect
term
s or 4
term
s ig
norin
g si
gns
for m
etho
d of
6 p
rodu
cts,
4 of
whi
ch a
re c
orre
ct
(ft t
heir
first
pro
duct
)fo
r ful
ly a
ccur
ate
wor
king
to g
ive
the
requ
ired
resu
lt
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
145145Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
2H
Que
stio
nW
orki
ngA
nsw
erN
otes
10a b
–1.5
M1
A1
C1
for m
etho
d to
find
gra
dien
t, eg
. 210
÷ 1
40fo
r cor
rect
inte
rpre
tatio
n of
the
nega
tive
grad
ient
for e
xpla
natio
n, e
g. ra
te o
f cha
nge
of d
epth
of
wat
er in
tank
11a b
0.49
0.51
M1
A1
M1
A1
for 0
.7 ×
0.7
for 0
.49
oe
for a
cor
rect
pro
cess
, eg.
1 –
"0.4
9"
or 0
.7 ×
0.3
+ 0
.3×
0.7
+ 0.
3 ×
0.3
for 0
.51
oe
12a b
0.4
0.58
6
B1
B1
B1
For 0
.4 o
e
for 3
.482
07...
.. or
17.
34 o
r 0.2
0081
1...
for 0
.585
to 0
.586
13Fu
lly c
orre
ct
alge
bra
to sh
ow
give
n re
sult
M1
M1
A1
for m
etho
d to
find
the
prod
uct o
f any
two
linea
r ex
pres
sion
s; e
g. 3
cor
rect
term
s or 4
term
s ig
norin
g si
gns
for m
etho
d of
6 p
rodu
cts,
4 of
whi
ch a
re c
orre
ct
(ft t
heir
first
pro
duct
)fo
r ful
ly a
ccur
ate
wor
king
to g
ive
the
requ
ired
resu
lt
Pape
r 1M
A1:
2H
Que
stio
nW
orki
ngA
nsw
erN
otes
1433
.8P1 P1 A
1
for r
ecog
nitio
n of
sim
ilar t
riang
les o
r equ
al ra
tio
of si
des
for p
roce
ss to
find
CB,
eg.
5 13=
13 𝐶𝐶𝐶𝐶
for 3
3.8
1518
.3P1 P1 A
1
for a
star
t to
the
proc
ess i
nter
pret
ing
the
info
rmat
ion
corr
ectly
, eg.
T=
k √𝐿𝐿
oefo
r nex
t sta
ge in
pro
cess
to fi
nd p
erce
ntag
e ch
ange
inT,
eg.
√1.
4fo
r 18.
3 to
18.
4
1684
M1
P1 A1
for c
orre
ct in
terp
reta
tion
of g
iven
info
rmat
ion
lead
ing
to a
met
hod
to fi
nd fd
, eg.
20
÷ 10
0 (th
ousa
nd)
for s
tart
of p
roce
ss to
find
requ
ired
freq
uenc
y,
eg. 0
.8 ×
50 (=
40)
or 0
.6 ×
50 (=
30)
or 0
.14
×10
0 (=
14)
for 8
4 ca
o
17n2
–n
+ 1
oeM
1
M1
A1
for c
orre
ct d
educ
tion
from
diff
eren
ces,
eg. 2
nd
diff
eren
ce o
f 2 im
plie
s 1n2
or si
ght o
f 12,
22 , 32 , .
.fo
r sig
ht o
f 12,
22 , 32 , .
. lin
ked
with
1, 2
, 3, .
..
for n
2 –
n+
1 oe
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
146146 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
2H
Que
stio
nW
orki
ngA
nsw
erN
otes
183x
2+
10x
M1
M1
A1
star
t a c
hain
of r
easo
ning
, eg
. 3(x
+2)2
–2(
x+2)
–8
cont
inue
cha
in b
y ex
pand
ing
brac
kets
cor
rect
ly,
eg. 3
x2+
12x
+12
–2x
–4
–8
for
3x2
+ 1
0x(a
= 3,
b=
10)
198.
63 to
8.6
5P1 P1 P1 P1 P1
A
1
for a
star
t of p
roce
ss, e
g. 0
.5𝑥𝑥(𝑥𝑥−
2)=
2.5
for r
earr
angi
ng to
giv
e a
quad
ratic
equ
atio
n,eg
x2
–2x
–5
= 0
oe.
for a
pro
cess
to so
lve
the
quad
ratic
equ
atio
n,
cond
onin
g on
e si
gn e
rror
in u
se o
f for
mul
a (x
=3.
449.
.. an
d x
=–1
.449
...)
for s
elec
ting
the
posi
tive
valu
e of
xan
d ap
plyi
ng
Pyth
agor
as to
find
the
hypo
tenu
se,
eg.√
(3.4
492
+ 1.
4492 )
(= 3
.74.
..)
for c
ompl
ete
proc
ess t
o fin
d pe
rimet
erfo
r ans
wer
in th
e ra
nge
8.63
to 8
.65
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
147147Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
2H
Que
stio
nW
orki
ngA
nsw
erN
otes
183x
2+
10x
M1
M1
A1
star
t a c
hain
of r
easo
ning
, eg
. 3(x
+2)2
–2(
x+2)
–8
cont
inue
cha
in b
y ex
pand
ing
brac
kets
cor
rect
ly,
eg. 3
x2+
12x
+12
–2x
–4
–8
for
3x2
+ 1
0x(a
= 3,
b=
10)
198.
63 to
8.6
5P1 P1 P1 P1 P1
A
1
for a
star
t of p
roce
ss, e
g. 0
.5𝑥𝑥(𝑥𝑥−
2)=
2.5
for r
earr
angi
ng to
giv
e a
quad
ratic
equ
atio
n,eg
x2
–2x
–5
= 0
oe.
for a
pro
cess
to so
lve
the
quad
ratic
equ
atio
n,
cond
onin
g on
e si
gn e
rror
in u
se o
f for
mul
a (x
=3.
449.
.. an
d x
=–1
.449
...)
for s
elec
ting
the
posi
tive
valu
e of
xan
d ap
plyi
ng
Pyth
agor
as to
find
the
hypo
tenu
se,
eg.√
(3.4
492
+ 1.
4492 )
(= 3
.74.
..)
for c
ompl
ete
proc
ess t
o fin
d pe
rimet
erfo
r ans
wer
in th
e ra
nge
8.63
to 8
.65
Pape
r 1M
A1:
2H
Que
stio
nW
orki
ngA
nsw
erN
otes
20a b
3 to
4
452
C1
B1
C1
M1
A1
for a
tang
ent d
raw
n at
t=
6fo
r ans
wer
in ra
nge
3 to
4
for s
plitt
ing
the
area
into
3 st
rips a
nd a
met
hod
of
findi
ng th
e ar
ea o
f one
shap
e un
der t
he g
raph
, eg
. 1 2×
4×
35(=
70)
for c
ompl
ete
proc
ess t
o fin
d th
e ar
ea u
nder
the
grap
h, e
g "7
0" +
1 2×
4×
(35
+51
)(=
172
) +
1 2×
4×
(51
+54
)(=
210
) [ =
452
]
for 4
52
2110
169
or 1
0170
P1 P1 C1
for c
orre
ct u
se o
f for
mul
a to
find
num
ber i
n 20
16, e
g. 1
.05(
9500
–25
0) (
= 97
12.5
)fo
r com
plet
e ite
rativ
e pr
oces
s, eg
. 201
7:
1.0
5(97
12.5
–25
0) (
= 99
35.6
25)
2018
: 1
.05(
9935
.625
–25
0)
for a
nsw
er o
f 101
69.9
0...
corr
ectly
roun
ded
or
trunc
ated
to n
eare
st w
hole
num
ber
221.
5B
1
M1
A1
for a
ny c
orre
ct b
ound
cle
arly
iden
tifie
d,
eg. 9
9.65
→x
→ 9
9.75
or
66.
5 →
y→
67.
5fo
r met
hod
to fi
nd U
B, e
g. "
99.7
5" ÷
"66.
5"fo
r 1.5
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
148148 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Centre Number Candidate Number
Write your name hereSurname Other names
Total Marks
Paper Reference
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S49820A©2015 Pearson Education Ltd.
6/6/6/
*S49820A0120*
MathematicsPaper 3 (Calculator)
Higher TierSpecimen Papers Set 1
Time: 1 hour 30 minutes 1MA1/3HYou must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser, calculator.
Instructions
• Use black ink or ball-point pen.• Fill in the boxes at the top of this page with your name, centre number and candidate number.• Answer all questions.• Answer the questions in the spaces provided
– there may be more space than you need.• Calculators may be used.• If your calculator does not have a π button, take the value of π to be 3.142
unless the question instructs otherwise.• Diagrams are NOT accurately drawn, unless otherwise indicated.• You must show all your working out.
Information
• The total mark for this paper is 80• The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
• Read each question carefully before you start to answer it.• Keep an eye on the time.• Try to answer every question.• Check your answers if you have time at the end.
Pearson Edexcel Level 1/Level 2 GCSE (9 - 1)
Pape
r 1M
A1:
2H
Que
stio
nW
orki
ngA
nsw
erN
otes
23y
= −
4 3x
+ 25 3
oe
M1
M1
A1
for m
etho
d to
find
gra
dien
t of t
ange
nt,
eg. −
1÷
3 4=−
4 3
for m
etho
d to
find
y-in
terc
ept u
sing
y =
"−
4 3"x
+ c
y =
−4 3
x +
25 3
oe
24Pr
oof
C1
C1
C1
C1
for j
oini
ng A
O(e
xten
ded
to D
) and
con
side
ring
angl
es in
two
trian
gles
(alg
ebra
ic n
otat
ion
may
be
use
d he
re)
for u
sing
isos
cele
s tria
ngle
pro
perti
es to
find
an
gle
BOD
(eg.
x+
x=
2x)o
rang
le C
OD
(eg.
y+
y=
2y)
for a
ngle
BO
C=
2x+
2y[=
2×a
ngle
BAO
+ 2×
angl
e C
AO]
for c
ompl
etio
n of
pro
of w
ith a
ll re
ason
s giv
en,
eg. b
ase
angl
esof
isos
cele
stria
ngle
are
equ
alan
d su
m o
f ang
lesa
t a p
oint
is 3
60o
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
149149Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Centre Number Candidate Number
Write your name hereSurname Other names
Total Marks
Paper Reference
Turn over
S49820A©2015 Pearson Education Ltd.
6/6/6/
*S49820A0120*
MathematicsPaper 3 (Calculator)
Higher TierSpecimen Papers Set 1
Time: 1 hour 30 minutes 1MA1/3HYou must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser, calculator.
Instructions
• Use black ink or ball-point pen.• Fill in the boxes at the top of this page with your name, centre number and candidate number.• Answer all questions.• Answer the questions in the spaces provided
– there may be more space than you need.• Calculators may be used.• If your calculator does not have a π button, take the value of π to be 3.142
unless the question instructs otherwise.• Diagrams are NOT accurately drawn, unless otherwise indicated.• You must show all your working out.
Information
• The total mark for this paper is 80• The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
• Read each question carefully before you start to answer it.• Keep an eye on the time.• Try to answer every question.• Check your answers if you have time at the end.
Pearson Edexcel Level 1/Level 2 GCSE (9 - 1)
Pape
r 1M
A1:
2H
Que
stio
nW
orki
ngA
nsw
erN
otes
23y
= −
4 3x
+ 25 3
oe
M1
M1
A1
for m
etho
d to
find
gra
dien
t of t
ange
nt,
eg. −
1÷
3 4=−
4 3
for m
etho
d to
find
y-in
terc
ept u
sing
y =
"−
4 3"x
+ c
y =
−4 3
x +
25 3
oe
24Pr
oof
C1
C1
C1
C1
for j
oini
ng A
O(e
xten
ded
to D
) and
con
side
ring
angl
es in
two
trian
gles
(alg
ebra
ic n
otat
ion
may
be
use
d he
re)
for u
sing
isos
cele
s tria
ngle
pro
perti
es to
find
an
gle
BOD
(eg.
x+
x=
2x)o
rang
le C
OD
(eg.
y+
y=
2y)
for a
ngle
BO
C=
2x+
2y[=
2×a
ngle
BAO
+ 2×
angl
e C
AO]
for c
ompl
etio
n of
pro
of w
ith a
ll re
ason
s giv
en,
eg. b
ase
angl
esof
isos
cele
stria
ngle
are
equ
alan
d su
m o
f ang
lesa
t a p
oint
is 3
60o
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
150150 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
3
*S49820A0320* Turn over
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
For all the other points
(b) (i) draw the line of best fit,
(ii) describe the correlation.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
A different student studies for 9 hours.
(c) Estimate the mark gained by this student.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
The Spanish test was marked out of 100
Lucia says,
“I can see from the graph that had I revised for 18 hours I would have got full marks.”
(d) Comment on what Lucia says.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 1 is 5 marks)
2 The length, L cm, of a line is measured as 13 cm correct to the nearest centimetre.
Complete the following statement to show the range of possible values of L
. . . . . . . . . . . . . . . . . . . . . . . . . . . L < . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 2 is 2 marks)
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Answer ALL questions.
Write your answers in the spaces provided.
You must write down all the stages in your working.
1 The scatter diagram shows information about 10 students.
For each student, it shows the number of hours spent revising and the mark the student achieved in the Spanish test.
One of the points is an outlier.
(a) Write down the coordinates of the outlier.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
100
90
80
70
60
50
40
30
20
10
02 4 6 8 10 12 14 16 18
Mark
Hours spent revising
0
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
151151Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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For all the other points
(b) (i) draw the line of best fit,
(ii) describe the correlation.
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(2)
A different student studies for 9 hours.
(c) Estimate the mark gained by this student.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
The Spanish test was marked out of 100
Lucia says,
“I can see from the graph that had I revised for 18 hours I would have got full marks.”
(d) Comment on what Lucia says.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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(1)
(Total for Question 1 is 5 marks)
2 The length, L cm, of a line is measured as 13 cm correct to the nearest centimetre.
Complete the following statement to show the range of possible values of L
. . . . . . . . . . . . . . . . . . . . . . . . . . . L < . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 2 is 2 marks)
2
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Answer ALL questions.
Write your answers in the spaces provided.
You must write down all the stages in your working.
1 The scatter diagram shows information about 10 students.
For each student, it shows the number of hours spent revising and the mark the student achieved in the Spanish test.
One of the points is an outlier.
(a) Write down the coordinates of the outlier.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
100
90
80
70
60
50
40
30
20
10
02 4 6 8 10 12 14 16 18
Mark
Hours spent revising
0
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
152152 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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4 Jenny works in a shop that sells belts.
The table shows information about the waist sizes of 50 customers who bought belts from the shop in May.
Belt size Waist (w inches) Frequency
Small 28 < w 32 24
Medium 32 < w 36 12
Large 36 < w 40 8
Extra Large 40 < w 44 6
(a) Calculate an estimate for the mean waist size.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .inches(3)
Belts are made in sizes Small, Medium, Large and Extra Large.
Jenny needs to order more belts in June. The modal size of belts sold is Small.
Jenny is going to order 34
of the belts in size Small.
The manager of the shop tells Jenny she should not order so many Small belts.
(b) Who is correct, Jenny or the manager? You must give a reason for your answer.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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(2)
(Total for Question 4 is 5 marks)
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3 Line L is drawn on the grid below.
yL
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Find the equation for the straight line L. Give your answer in the form y = mx + c
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 3 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
153153Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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4 Jenny works in a shop that sells belts.
The table shows information about the waist sizes of 50 customers who bought belts from the shop in May.
Belt size Waist (w inches) Frequency
Small 28 < w 32 24
Medium 32 < w 36 12
Large 36 < w 40 8
Extra Large 40 < w 44 6
(a) Calculate an estimate for the mean waist size.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .inches(3)
Belts are made in sizes Small, Medium, Large and Extra Large.
Jenny needs to order more belts in June. The modal size of belts sold is Small.
Jenny is going to order 34
of the belts in size Small.
The manager of the shop tells Jenny she should not order so many Small belts.
(b) Who is correct, Jenny or the manager? You must give a reason for your answer.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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(2)
(Total for Question 4 is 5 marks)
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3 Line L is drawn on the grid below.
yL
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Find the equation for the straight line L. Give your answer in the form y = mx + c
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 3 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
154154 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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Karen is advised to buy 10% more tiles than she estimated. Buying 10% more tiles will affect the number of the tiles Karen needs to buy.
She assumes she will need to buy 10% more packs of tiles.
(b) Is Karen’s assumption correct? You must show your working.
(2)
(Total for Question 5 is 7 marks)
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5 The diagram shows a wall in the shape of a trapezium.
Karen is going to cover this part of the wall with tiles. Each tile is rectangular, 15 cm by 7.5 cm
Tiles are sold in packs. There are 9 tiles in each pack.
Karen divides the area of this wall by the area of a tile to work out an estimate for the number of tiles she needs to buy.
(a) Use Karen’s method to work out the estimate for the number of packs of tiles she needs to buy.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(5)
0.8 m
1.8 m
2.7 m
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
155155Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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Karen is advised to buy 10% more tiles than she estimated. Buying 10% more tiles will affect the number of the tiles Karen needs to buy.
She assumes she will need to buy 10% more packs of tiles.
(b) Is Karen’s assumption correct? You must show your working.
(2)
(Total for Question 5 is 7 marks)
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5 The diagram shows a wall in the shape of a trapezium.
Karen is going to cover this part of the wall with tiles. Each tile is rectangular, 15 cm by 7.5 cm
Tiles are sold in packs. There are 9 tiles in each pack.
Karen divides the area of this wall by the area of a tile to work out an estimate for the number of tiles she needs to buy.
(a) Use Karen’s method to work out the estimate for the number of packs of tiles she needs to buy.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(5)
0.8 m
1.8 m
2.7 m
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
156156 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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8 Ian invested an amount of money at 3% per annum compound interest. At the end of 2 years the value of the investment was £2652.25
(a) Work out the amount of money Ian invested.
£.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(3)
Noah has an amount of money to invest for five years.
Saver Account
4% per annum compound interest.
Investment Account
21% interest paid at the end of 5 years.
Noah wants to get the most interest possible.
(b) Which account is best? You must show how you got your answer.
(2)
(Total for Question 8 is 5 marks)
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6 Factorise x 2 + 3x – 4
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 6 is 2 marks)
7 Here are the equations of four straight lines.
Line A y = 2x + 4 Line B 2y = x + 4 Line C 2x + 2y = 4 Line D 2x – y = 4
Two of these lines are parallel.
Write down the two parallel lines?
Line .. . . . . . . . . . . . . . . . . . . . . . . . . . . and line.. . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 7 is 1 mark)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
157157Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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8 Ian invested an amount of money at 3% per annum compound interest. At the end of 2 years the value of the investment was £2652.25
(a) Work out the amount of money Ian invested.
£.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(3)
Noah has an amount of money to invest for five years.
Saver Account
4% per annum compound interest.
Investment Account
21% interest paid at the end of 5 years.
Noah wants to get the most interest possible.
(b) Which account is best? You must show how you got your answer.
(2)
(Total for Question 8 is 5 marks)
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6 Factorise x 2 + 3x – 4
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 6 is 2 marks)
7 Here are the equations of four straight lines.
Line A y = 2x + 4 Line B 2y = x + 4 Line C 2x + 2y = 4 Line D 2x – y = 4
Two of these lines are parallel.
Write down the two parallel lines?
Line .. . . . . . . . . . . . . . . . . . . . . . . . . . . and line.. . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 7 is 1 mark)
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158158 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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10 On the grid, shade the region that satisfies all these inequalities.
x + y < 4 y > x – 1 y < 3x
Label the region R.
(Total for Question 10 is 4 marks)
O
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8
6
4
2
–2
–4
y
x–4 –2 2 4 6
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9 The diagram shows two vertical posts, AB and CD, on horizontal ground.
AB = 1.7 m CD : AB = 1.5 : 1
The angle of elevation of C from A is 52°
Calculate the length of BD. Give your answer correct to 3 significant figures.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .m
(Total of Question 9 is 4 marks)
1.7 m
C
A
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Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
159159Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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10 On the grid, shade the region that satisfies all these inequalities.
x + y < 4 y > x – 1 y < 3x
Label the region R.
(Total for Question 10 is 4 marks)
O
10
8
6
4
2
–2
–4
y
x–4 –2 2 4 6
10
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9 The diagram shows two vertical posts, AB and CD, on horizontal ground.
AB = 1.7 m CD : AB = 1.5 : 1
The angle of elevation of C from A is 52°
Calculate the length of BD. Give your answer correct to 3 significant figures.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .m
(Total of Question 9 is 4 marks)
1.7 m
C
A
BD
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
160160 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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12 The diagram shows a cuboid ABCDEFGH.
AB = 7 cm, AF = 5 cm and FC = 15 cm.
Calculate the volume of the cuboid. Give your answer correct to 3 significant figures.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . cm3
(Total for Question 12 is 4 marks)
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11 Write x 2 + 2x – 8 in the form (x + m ) 2 + n where m and n are integers.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 11 is 2 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
161161Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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12 The diagram shows a cuboid ABCDEFGH.
AB = 7 cm, AF = 5 cm and FC = 15 cm.
Calculate the volume of the cuboid. Give your answer correct to 3 significant figures.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . cm3
(Total for Question 12 is 4 marks)
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11 Write x 2 + 2x – 8 in the form (x + m ) 2 + n where m and n are integers.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 11 is 2 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
162162 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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15 A virus on a computer is causing errors. An antivirus program is run to remove these errors.
An estimate for the number of errors at the end of t hours is 106 × 2−t
(a) Work out an estimate for the number of errors on the computer at the end of 8 hours.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(b) Explain whether the number of errors on this computer ever reaches zero.
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(1)
(Total for Question 15 is 3 marks)
16 The graph of y = f (x) is transformed to give the graph of y = −f (x + 3) The point A on the graph of y = f (x) is mapped to the point P on the graph of y = −f (x + 3)
The coordinates of point A are (9, 1) Find the coordinates of point P.
(. . . . . . . . . . . . . . . . . . . . . . . . . . . . , . . . . . . . . . . . . . . . . . . . . . . . . . . .)
(Total for Question 16 is 2 marks)
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13 There are 14 boys and 12 girls in a class.
Work out the total number of ways that 1 boy and 1 girl can be chosen from the class.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 13 is 2 marks)
14 Write
4 3 5 62
2
− +( ) + +−
x x x
x÷
as a single fraction in its simplest form. You must show your working.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 14 is 4 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
163163Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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15 A virus on a computer is causing errors. An antivirus program is run to remove these errors.
An estimate for the number of errors at the end of t hours is 106 × 2−t
(a) Work out an estimate for the number of errors on the computer at the end of 8 hours.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(b) Explain whether the number of errors on this computer ever reaches zero.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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(1)
(Total for Question 15 is 3 marks)
16 The graph of y = f (x) is transformed to give the graph of y = −f (x + 3) The point A on the graph of y = f (x) is mapped to the point P on the graph of y = −f (x + 3)
The coordinates of point A are (9, 1) Find the coordinates of point P.
(. . . . . . . . . . . . . . . . . . . . . . . . . . . . , . . . . . . . . . . . . . . . . . . . . . . . . . . .)
(Total for Question 16 is 2 marks)
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13 There are 14 boys and 12 girls in a class.
Work out the total number of ways that 1 boy and 1 girl can be chosen from the class.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 13 is 2 marks)
14 Write
4 3 5 62
2
− +( ) + +−
x x x
x÷
as a single fraction in its simplest form. You must show your working.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 14 is 4 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
164164 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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18 Thelma spins a biased coin twice. The probability that it will come down heads both times is 0.09
Calculate the probability that it will come down tails both times.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 18 is 3 marks)
19 (a) Write 0.000 423 in standard form.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(b) Write 4.5 × 104 as an ordinary number.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 19 is 2 marks)
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17 The diagram shows a solid cone.
Volume of cone = 13
πr 2h
Curved surface area of cone = πrl
l
r
h
16 x
24 x
The diameter of the base of the cone is 24x cm. The height of the cone is 16x cm.
The curved surface area of the cone is 2160π cm2. The volume of the cone is Vπ cm3, where V is an integer.
Find the value of V.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 17 is 5 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
165165Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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18 Thelma spins a biased coin twice. The probability that it will come down heads both times is 0.09
Calculate the probability that it will come down tails both times.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 18 is 3 marks)
19 (a) Write 0.000 423 in standard form.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(b) Write 4.5 × 104 as an ordinary number.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 19 is 2 marks)
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17 The diagram shows a solid cone.
Volume of cone = 13
πr 2h
Curved surface area of cone = πrl
l
r
h
16 x
24 x
The diameter of the base of the cone is 24x cm. The height of the cone is 16x cm.
The curved surface area of the cone is 2160π cm2. The volume of the cone is Vπ cm3, where V is an integer.
Find the value of V.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 17 is 5 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
166166 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
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21 (a) Show that the equation 3x2 – x3 + 3 = 0 can be rearranged to give
xx
= +3 32
(2)
(b) Using
xxnn
+ = +1 23 3 with x0 = 3.2,
find the values of x1, x2 and x3
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(3)
(c) Explain what the values of x1, x2 and x3 represent.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 21 is 6 marks)
18
*S49820A01820*
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RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
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OT
WRI
TE IN
TH
IS A
REA
20 Mark has made a clay model. He will now make a clay statue that is mathematically similar to the clay model.
The model has a base area of 6cm2 The statue will have a base area of 253.5cm2
Mark used 2kg of clay to make the model.
Clay is sold in 10kg bags. Mark has to buy all the clay he needs to make the statue.
How many bags of clay will Mark need to buy?
... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 20 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
167167Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
19
*S49820A01920*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
Turn over
21 (a) Show that the equation 3x2 – x3 + 3 = 0 can be rearranged to give
xx
= +3 32
(2)
(b) Using
xxnn
+ = +1 23 3 with x0 = 3.2,
find the values of x1, x2 and x3
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(3)
(c) Explain what the values of x1, x2 and x3 represent.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 21 is 6 marks)
18
*S49820A01820*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
D
O N
OT
WRI
TE IN
TH
IS A
REA
20 Mark has made a clay model. He will now make a clay statue that is mathematically similar to the clay model.
The model has a base area of 6cm2 The statue will have a base area of 253.5cm2
Mark used 2kg of clay to make the model.
Clay is sold in 10kg bags. Mark has to buy all the clay he needs to make the statue.
How many bags of clay will Mark need to buy?
... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 20 is 3 marks)
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
168168 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
20
*S49820A02020*
D
O N
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RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
22 Here are the first five terms of an arithmetic sequence.
7 13 19 25 31
Prove that the difference between the squares of any two terms of the sequence is always a multiple of 24
(Total for Question 22 is 6 marks)
TOTAL FOR PAPER IS 80 MARKS
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
169169Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
20
*S49820A02020*
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
D
O N
OT W
RITE IN TH
IS AREA
22 Here are the first five terms of an arithmetic sequence.
7 13 19 25 31
Prove that the difference between the squares of any two terms of the sequence is always a multiple of 24
(Total for Question 22 is 6 marks)
TOTAL FOR PAPER IS 80 MARKS
Pape
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1(a)
1(b)
(i)
1(b)
(ii)
1(c)
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(4,1
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Posi
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Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
170170 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Pape
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4(b)
Man
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Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
171171Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
3H
Que
stio
nW
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nsw
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otes
4(b)
Man
ager
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Pape
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gion
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cate
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²−9
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²A
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1243
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1 fo
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15(a
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15(b
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r no
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Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
172172 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
3H
Que
stio
nW
orki
ngA
nsw
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otes
16(6
, −1)
M1
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raph
or a
cor
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ordi
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cao
17𝑙𝑙=
20𝑥𝑥
𝑥𝑥=
320
736
P1 fo
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etho
d to
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slan
t hei
ght o
f the
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e eg
�
16𝑥𝑥²
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or b
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Pyt
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les
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ting
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n eq
uatio
n fo
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ved
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ace
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160𝜋𝜋
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r com
plet
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etho
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e of
xP1
for a
met
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nd th
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lum
eA
1 c
ao
180.
49P1
for √
0.09
P1 fo
r (1-
" √0.
09")
²A
1 ca
o
19(a
)
(b)
4.23
× 1
0-4
4500
0
B1
B1
2055
P1 fo
r 25
3.5
6(=
6.5)
P1 fo
r 2 ×
“6.
5”3
÷ 10
(=54
.925
)A
1 ca
o
Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
173173Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Mathematics -Specimen Papers Set 1 - September 2015 © Pearson Education Limited 2015
Pape
r 1M
A1:
3H
Que
stio
nW
orki
ngA
nsw
erN
otes
16(6
, −1)
M1
for a
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show
ing
the
trans
latio
n of
a g
raph
or a
cor
rect
co
ordi
nate
A1
cao
17𝑙𝑙=
20𝑥𝑥
𝑥𝑥=
320
736
P1 fo
r a m
etho
d to
find
the
slan
t hei
ght o
f the
con
e eg
�
16𝑥𝑥²
+12𝑥𝑥²
or b
y si
mila
r tria
ngle
s and
Pyt
hago
rean
trip
les
P1 fo
r set
ting
up a
n eq
uatio
n fo
r the
cur
ved
surf
ace
area
in te
rms
of x
eg 2
160𝜋𝜋
=𝜋𝜋
×12𝑥𝑥
×20𝑥𝑥
P1 fo
r com
plet
e m
etho
d to
find
the
valu
e of
xP1
for a
met
hod
to fi
nd th
e vo
lum
eA
1 c
ao
180.
49P1
for √
0.09
P1 fo
r (1-
" √0.
09")
²A
1 ca
o
19(a
)
(b)
4.23
× 1
0-4
4500
0
B1
B1
2055
P1 fo
r 25
3.5
6(=
6.5)
P1 fo
r 2 ×
“6.
5”3
÷ 10
(=54
.925
)A
1 ca
o
Pape
r 1M
A1:
3H
Que
stio
nW
orki
ngA
nsw
erN
otes
21(a
)
21(b
)
21(c
)
𝑥𝑥 1=
3.29
2968
75𝑥𝑥 2
= 3.
2766
5978
6𝑥𝑥 3
= 3.
2794
2068
5
Re
arra
ngem
ent
3.28
Stat
emen
t
M1
for r
e ar
rang
ing
to 𝑥𝑥
3=
C1
a cl
ear s
tep
to sh
ow re
arr
ange
men
t
M1
for o
ne c
orre
ct it
erat
ion
M1
for 2
furth
er it
erat
ions
seen
A1
cao
C1
Stat
emen
t eg
itera
tion
is an
est
imat
ion
of th
e so
lutio
n
22Pr
oof
B1
stat
e th
e di
ffer
ence
of t
wo
squa
res i
n al
gebr
aic
nota
tion
eg
𝑝𝑝²−𝑞𝑞²
M1
for w
ritin
g do
wn
expr
essi
ons f
or th
e tw
o di
ffer
ent n
umbe
rs
eg 6𝑛𝑛
+1
and
6𝑚𝑚+
1M
1 fo
rexp
andi
ng o
ne b
rack
et to
obt
ain
4 te
rms w
ith a
ll 4
corr
ect w
ithou
t con
side
ring
sign
s or f
or 3
term
s out
of 4
cor
rect
w
ith c
orre
ct si
gns
A1
for 3
6(𝑚𝑚2−𝑛𝑛2
) +12
(𝑛𝑛−𝑚𝑚
)oe
M1
(dep
M2)
for e
xtra
ctin
g a
fact
or o
f 12
from
thei
r exp
ress
ion
C1
for f
ully
cor
rect
wor
king
with
stat
emen
t jus
tifyi
ng(𝑛𝑛−𝑚𝑚
)(3(𝑛𝑛
+𝑚𝑚
) +1)
as a
mul
tiple
of 2
egco
nsid
erin
g od
d an
d ev
en c
ombi
natio
ns