Interactive Voting - 1995 maths paper b

1995 MATHSPAPER B

1995 Mathematics Paper BInput your name and press send.

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1a. Here is a table of the number of stamps used each day in school.

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1995 Mathematics Paper B1995 Mathematics Paper B

M onday Tuesday W ednesday Thursday Friday

19p

25p

30p

35p

50p

22

8

6

6

6

11

17

0

0

0

14

4

2

6

2

32

6

8

1

12

13

19

4

0

3

How many 25p stamps did the school use on Wednesday?

1. Here is a table of the number of stamps used each day in school.

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19p

25p

30p

35p

50p

22

8

6

6

6

11

17

0

0

0

14

4

2

6

2

32

6

8

1

12

13

19

4

0

3

This is a graph of one kind of stamp they used.

Num berof

stam ps


10

8

6

4

2

0

1b. What was the value of the stamp In pence?

Q2. In this block, the pairs of numbers joined together have a difference of 7.

Choose one more pair of numbers which has a difference of 7.


9 2 12

6 7 14

13 30 15

18 12 8

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Answer key

Q2. In this block, the pairs of numbers joined together have a difference of 7.

Choose one more pair of numbers which has a difference of 7.


9 2 12

6 7 14

13 30 15

18 12 8

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Q3. Numbers are missing on four of these calculator buttons.Write in numbers to make the answer 47.


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4 7 _ + = 47

Q4a. On sports day children get points for how far they jump.


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Teaching Slide

Standing Long Jum p

O verO verO verO verO ver

O ver

80cm 1 poin t100cm 2 poin ts120cm 3 poin ts140cm 4 poin ts160cm 5 poin ts

180cm 6 poin ts

Joe jumped 138cm.How many points does he get?

Sam said, “I jumped 1.5 metres. I get 4 points”.Give a reason why Sam is correct.

Q4. On sports day children get points for how far they jump.


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Standing Long Jum p


O ver


180cm 6 poin ts

Joe jumped 138cm.How many points does he get?

1 point 2 points 3 points 4 points 5 points

80cm 100cm 120cm 140cm 160cm 180cm

138 cm

Q4b. On sports day children get points for how far they jump.


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Standing Long Jum p


O ver


180cm 6 poin ts

Each child puts a cross on a line to show how far they jumped.Sam puts her cross at 1.5 metres.

Lynn jumps 1.14 metres.Put a cross on the line for Lynn’s jump.

0 1m etre

2m etres

3m etres

S am

1995 Mathematics Paper B1995 Mathematics Paper BQ5a. Beth sells comics.

M agna

P op

S igna

M indy

costs

costs

costs

costs

25p

14p

16p

19p

Ali buys one Magna and one Mindy. He gives Beth 50p.

How many pennies change will he get?

25p + 19p = 25p

+19p

= 44p

50p – 44p

06p

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Q5b215 people go to the sale.It costs 15p each to go in.

Work out how much they pay altogether – answer in pence.

2 marks for the correct answer.

1 mark for working out.

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XL File

• Q6

• Raj thinks of a number.He says

• “If I subtract 14 from it, I get 29.”

• What is Raj’s number?


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• Q6• Raj thinks of a number.

He says• “If I subtract 14 from it, I get 29.”• What is Raj’s number?


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Keep It Simple Stupid!

? – 14 = 29

? – 3 = 2

What is ?

What did you do with 3 and 2 to know that ? = 5

You went 3 + 2 = 5 so…

14 + 29 = ?

14 + 29 = 43

• Q7 Which symbol in the circle +, –, *, or ÷ would make the calculation correct?


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18 x3 5 = 30

A. +

B. -

C. *

D.÷

• Q7 1995 Mathematics Paper B1995 Mathematics Paper B

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Keep It Simple Stupid!

? * 5 = 30

What is ? (18 0 3) It must be 6.

So 18 0 3 = 6

18 + 3 = 21

18 – 3 = 15

18 * 3 = plenty

18 ÷ 3 = 6

Missing operation = ÷

18 x3 5 = 30

1 cm

1 cm

Q8a. Here are two shapes made with centimetre squares.

Each shape has 5 squares.Write ONE other thing which is the same about the two shapes.


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1 cm

1 cm

Q8. Here are two shapes made with centimetre squares.

Each shape has 5 squares.Write ONE other thing which is the same about the two shapes.


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(a) A mathematical criterion such as:· “They are symmetrical.”· “Each has three squares across.”· “Both have the same perimeter.”· “They have 4 joined-on lines.”· “They have the same area.”

Do not accept criteria which are implicit in the fact that the shapes are made from cm squares, eg:

·“They have straight edges.”

1 cm

1 cm

Q8b. Here are more shapes made with centimetre squares.


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E F G H

A B C D

Which shape has a perimeter of 10cm?


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Q9a. Children in Year 6 make number patterns.This group uses the rule ‘2 less than’.

What is the missing number?


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Q9b. This group uses the rule ‘divide by 3’.What is the missing number?

• Q9 1995 Mathematics Paper B1995 Mathematics Paper B

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Keep It Simple Stupid!? ÷ 3 = 54

Simple version: 6 ÷ 3 = 2

What would you do with 3 and 2 to make 6? 3 * 2 = 6

Switching things around then 3 * 54 = ?

3 * 54 = 162

Check 162 ÷ 3 = 54

Q10 On the grid, draw the reflection of the shape in the mirror line.


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Teaching slide

m irror line

Q10 On the grid, draw the reflection of the shape in the mirror line.


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m irror line

Q11 What are the missing numbers?


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2 8

+ 2 9

5 5 5

What is this number?

Q11 What are the missing numbers?


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2 8

+ 2 9

5 5 5

What is this number?

XL File

Q12a Here is a map of an island.Estimate the area of the wood.


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W ood

Church

Lighthouse

Cave

Write on the board

Q12b A boat can safely carry 145 kilograms.


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Answer key.

Work out if the boat can safely carry Mary and Bob

Nam e M ary Ann John Bob H uw K ate

W eight in kg 59.5 41.1 39.8 80.3 28.2 32.1

Q12b A boat can safely carry 145 kilograms.


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Nam e M ary Ann John Bob H uw K ate

W eight in kg 59.5 41.1 39.8 80.3 28.2 32.1

(b) Correct addition of 59.5 and 80.3 to make 139.8

OREstimation such as 60 + 81 <145.

No mark is awarded for drawing a conclusion. The mark is awarded for correct calculation even if conclusion is wrong.

Q13a

427 children visit a castle.They go in groups of 15. One group has less than 15.

Every group of children has one adult with them.How many adults will need to go?


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Q13bMr Todd buys 7 drinks at 48p each and 8 drinks at 52p each.

What is the total cost of the 15 drinks?You must show your working.

Answer like this:

3.21(2 Marks)


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Q14 Rob runs 100 metres ten times.These are his times in seconds.

13.413.5

13.014.0

13.914.4

13.713.8

13.314.0

What is his mean (average) time?


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XL File

Q15. Write in the missing digit.

The answer does not have a remainder.


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3

2 6

8

Q16. Here is a triangular box.


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Answer Key

4 cm

3 cm

Here is part of the net of the box, but two of its faces are missing.Draw accurately on the board, full size, ONE of the missing faces on the diagram below.You can use a ruler and protractor (angle measurer).

Q16. Here is a triangular box. 1995 Mathematics Paper B1995 Mathematics Paper B

Next Page 4 cm

3 cm

(a) Award ONE mark for correct position of triangle as shown in oneof the diagrams below.(b) Award ONE mark for accurate drawing of one triangle with right angle(90° ± 2.5°) AND length of lines as indicated ± 2mm.

3 3

3 3

4

4 4

4 5

5 5

5

No marks awarded for triangles not attached to main stem.

Q17a. Ann makes a pattern of L shapes with sticks.Ann says : “I find the number of sticks for a shape by first multiplying the

shape-number by 4, then adding 3”.Work out the number of sticks for the shape that has shape-number 10.


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Shape–num ber: Num ber of sticks: 7 11 15

1 2 3

Q17b. Ann makes a pattern of L shapes with sticks.Ann says : “I find the number of sticks for a shape by first multiplying the

shape-number by 4, then adding 3”.


Next Page Shape–num ber: Num ber of sticks: 7 11 15

1 2 3

Ann uses 59 sticks to make another L shape in this pattern.What is its shape-number?

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Q17c. Here is Ann’s rule again:“I find the number of sticks for a shape by first multiplying the shape-number by 4, then adding 3”.

Write a formula to work out the number of sticks for any L shape.Use S for the number of sticks and N for the shape-number.Ann makes a

pattern of L shapes with sticks.


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Answer Key

S =

Q17c. Here is Ann’s rule again:“I find the number of sticks for a shape by first multiplying the shape-number by 4, then adding 3”.

Write a formula to work out the number of sticks for any L shape.Use S for the number of sticks and N for the shape-number.Ann makes a pattern of L shapes with

sticks.


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(c) Award TWO marks for expressions such as: up to 2· S = 4N + 3· S = 3 + 4N· S = N + N + N + N + 3

If the answer is incorrect, award ONE mark for evidence of multiplying N by 4in the expression, eg:

· 4N· 4 × N· N.4· N + N + N + N

OR award ONE mark for evidence of adding 3 in the expression, eg:· N + 3

Do not accept S = × 4 + 3 = N up to 2


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Answer Key

Q18a.Some children work out how much money two shopkeepers get from selling fruit. They use pie charts to show this.

bananas

bananas

oranges

oranges

peaches peachesapples

apples

M rs B inns M r A dam s

Mrs Binns gets £350 selling bananas.Estimate how much she gets selling oranges.

XL File


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Q18a.Some children work out how much money two shopkeepers get from selling fruit. They use pie charts to show this.

bananas

bananas

oranges

oranges


apples


Mrs Binns gets £350 selling bananas.Estimate how much she gets selling oranges.

(a) Award ONE mark for an answer in the range £85 to £125, inclusive.

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End of test

Q18b.

Mrs Binns gets a total of £1000 and Mr Adams gets a total of £800.How much more does Mrs Binns get than Mr Adams for selling peaches?

bananas

bananas

oranges

oranges


apples


XL File

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Interactive Voting - 1995 maths paper b