Edexcel Mock Paper 2 June 2014 (1)

1. Work out 78.6765.8

50.356.2

(a) Write down all the figures on your calculator display.

..................................... (2)

(b) Give your answer to part (a) to an appropriate degree of accuracy.

..................................... (1)

(Total 3 marks)

2. This is a list of ingredients for making a pear & almond crumble for 4 people.

Ingredients for 4 people.

80 g plain flour

60 g ground almonds

90 g soft brown sugar

60 g butter

4 ripe pears

Work out the amount of each ingredient needed to make a pear & almond crumble for 10

people.

..................... g plain flour

..................... g ground almonds

..................... g soft brown sugar

..................... g butter

..................... ripe pears (Total 3 marks)

3. 30 students ran a cross-country race.

Each students time was recorded.

The table shows information about these times.

Time

(t minutes)

Frequency

10 t < 14 2

14 t < 18 5

18 t < 22 12

22 t < 26 8

26 t < 30 3

On the grid, draw a frequency polygon to show this information.

10 20 30 40

Number

of

students

15

10

5

0

0

Time ( t minutes)

(Total 2 marks)

4. Derek, Erica and Fred share 108 in the ratio 3:4:2

Calculate the amount of money Erica gets.

(Total 3 marks)

5.

Describe fully the single transformation that maps triangle P onto triangle Q.

(Total 3 marks)

6. The diagram shows a solid object.

(a) In the space below, sketch the front elevation from the direction marked with an arrow.

(2)

(b) In the space below, sketch the plan of the solid object.

(2)

(Total 4 marks)

* 7. Jenny is organising a party.

She buys some paper plates and some plastic cups.

Paper plates are sold in packs.

There are 25 plates in a pack.

Each pack costs 78p.

Plastic cups are sold in packs.

There are 35 cups in a pack.

Each pack costs 1.10.

Jenny buys exactly the same number of plates and cups.

What is the least amount of money she pays?

(Total 5 marks)

8. Ron went to Spain.

He changed 200 into Euros (). The exchange rate was 1 = 1.40

(a) How many Euros did he get?

(2)

When he came home he changed 10.64 back into pounds. The exchange rate was now 1 = 1.33

(b) How many pounds did he get?

(2)

(Total 4 marks)

9. In the diagram, Point A marks the position of Prestwich.

The position of Radcliffe is to be marked on the diagram as Point B.

(a) On the diagram, mark with a cross () the position of B, given that

B is on a bearing of 320 from A and

B is 6 cm from A.

A

N

(2)

The scale of the diagram is 1 : 50 000

(b) Work out the real distance 6 cm represents.

Give your answer in kilometres.

..................... km (3)

(Total 5 marks)

10. The top of a table is a circle.

The radius of the top of the table is 50 cm.

(a) Work out the area of the top of the table.

cm2 (2)

The base of the table is a circle.

The diameter of the base of the table is 40 cm.

(b) Work out the circumference of the base of the table.

cm (2)

(Total 4 marks)

11. Expand and simplify (x 9)(x + 4)

................................ (Total 2 marks)

12.

A

B C

2x

10

2x

Diagram NOT accurately drawn

In the diagram, all measurements are in centimetres.

ABC is an isosceles triangle.

AB = 2x

AC = 2x

BC = 10

(a) Find an expression, in terms of x, for the perimeter of the triangle.

Simplify your expression.

(2)

The perimeter of the triangle is 34 cm.

(b) Find the value of x.

x = (2)

(Total 4 marks)

13.

4 cm5 cm

3 cm

7 cm

Diagram accurately drawn

NOT

Calculate the volume of the triangular prism.

................................... (Total 4 marks)

14. Fred did a survey on the areas of pictures in a newspaper.

The table gives information about the areas.

Area (A cm2) Frequency

0 < A 10 38

10 < A 25 36

25 < A 40 30

40 < A 60 46

Work out an estimate for the mean area of a picture.

.................................cm2

(Total 4 marks)

15.

A B

C

4.7 cm12.6 cm


AC = 12.6 cm.

BC = 4.7 cm.

Angle ABC = 90.

Calculate the length of AB.

Give your answer correct to 3 significant figures.

.. cm (Total 3 marks)

16. (a) Write 0.032 in standard form.

........................................ (1)

(b) Write 1.58 104 as an ordinary number.

........................................ (1)

(Total 2 marks)

17. Here is a 4-sided spinner.

The sides of the spinner are labelled 1, 2, 3 and 4.

The spinner is biased.

The probability that the spinner will land on each of the numbers 2 and 3 is given in the table.

The probability that the spinner will land on 1 is equal to the probability that it will land on 4.

Number 1 2 3 4

Probability x 0.3 0.2 x

(a) Work out the value of x.

x = . (2)

Sarah is going to spin the spinner 200 times.

(b) Work out an estimate for the number of times it will land on 2

. (2)

(Total 4 marks)

18. 2 < x 1

x is an integer.

Write down all the possible values of x.

................................................. (Total 2 marks)

19. The equation x3 + 10x = 21

has a solution between 1 and 2

Use a trial and improvement method to find this solution.

Give your answer correct to one decimal place.

You must show ALL your working.

x = ..................................... (Total 4 marks)

20. A garage sells cars.

It offers a discount of 20% off the normal price for cash.

Dave pays 5200 cash for a car.

Calculate the normal price of the car.

.......................... (Total 3 marks)

21.


5.4 cm

2.3 cm B

C

A

ABC is a right-angled triangle.

Angle A = 90.

AB = 2.3 cm.

BC = 5.4 cm.

Work out the size of angle B.


..................................... (Total 3 marks)

22. 90 students took an examination.

The grouped frequency table shows information about their results.

Mark (x) Frequency

0 < x 10 3

10 < x 20 10

20 < x 30 17

30 < x 40 30

40 < x 50 21

50 < x 60 7

60 < x 70 2

(a) Complete the cumulative frequency table.

Mark (x) Cumulative Frequency

0 < x 10 3

0 < x 20

0 < x 30

0 < x 40

0 < x 50

0 < x 60

0 < x 70

(1)

(b) On the grid opposite, draw a cumulative frequency graph for your table. (2)

(c) Use your graph to find an estimate for the median mark.

.. (1)

The pass mark for the examination was 28.

(d) Use your graph to find an estimate for the number of students who passed the

examination.

.. (2)

(Total 6 marks)

0 10 20 30 40 50 60 70Mark ( )x

100

90

80

70

60

50

40

30

20

10

0

Cumulativefrequency

23. Mario invests 2000 for 3 years at 5% per annum compound interest.

Calculate the value of the investment at the end of 3 years.

. (Total 3 marks)

24. The distance, D, travelled by a particle is directly proportional to the square of the time, t, taken.

When t = 40, D = 30

(a) Find a formula for D in terms of t.

D = ..................................... (3)

(b) Calculate the value of D when t = 64

..................................... (1)

(c) Calculate the value of t when D = 12


..................................... (2)

(Total 6 marks)

25.

Diagram accurately drawn

NOT

67

11.7 m

28.3 m

A

B C

AB = 11.7 m.

BC = 28.3 m.

Angle ABC = 67.

(a) Calculate the area of the triangle ABC.


. m2 (2)

(b) Calculate the length of AC.


. m (3)

(Total 5 marks)

27. The time period, T seconds, of a pendulum is calculated using the formula

T = 6.283 g

L

where L metres is the length of the pendulum and g m/s2 is the acceleration due to gravity.

L = 1.36 correct to 2 decimal places.

g = 9.8 correct to 1 decimal place.

Find the difference between the lower bound of T and the upper bound of T.

..................................... (Total 5 marks)

26. The incomplete table and histogram give some information about the ages of the people who

live in a village.

Frequencydensity

0 10 20 30 40 50 60 70

Age in years

(a) Use the information in the histogram to complete the frequency table below.

Age (x) in years Frequency

0 < x 10 160

10 < x 25

25 < x 30

30 < x 40 100

40 < x 70 120

(2)

(b) Complete the histogram. (2)

(Total 4 marks)

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Edexcel Mock Paper 2 June 2014 (1)