Maths Paper 4

7/23/2019 Maths Paper 4

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Tutor Notes

Tutor Notes

Maths

Test 4

Multiple Choice & Standard Format

Read the following instructions carefully:

• Do not turn over the test paper until you are told to do so.

• Write your answers on the horizontal line(s) within each question or by circling the letter corresponding

to your choice as appropriate. Please use an HB pencil.

• If you need to change your answer, rub out the incorrect answer and then fill in the correct answer.

•

You may prefer to work out your answers on the question sheet or you can use rough paper for that

purpose.

• You have 50 minutes to complete the test.

Copyright (c) Examberry LLP 2014. V 1.1

The right of Examberry LLP to be identified as the author of this work has been asserted in accordance with the Copyright, Designs and Patents Act 1988.

All rights reserved, including translation. No part of this publication may be reproduced or transmitted in any form or by any means, electronic ormechanical, including photocopying, recording or duplication in any information storage and retrieval system, without permission in writing from the

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Any person who commits any unauthorised act in relation to this publication may be liable to criminal prosecution and civil claims or damages.

First published in 2014 by Examberry LLP, St Andrews Centre, Mount Park Road, London W5 2RS.

1



M ATHS TEST P APER 4

1.

Mrs Paul gave away 15 tickets to the

Christmas pantomime. If each ticket

normally costs £13.50, what was the total

value of the tickets that were given away?

2. The sum of two prime numbers is 20 and

their difference is 6. What are the two

numbers?

3.

Write the decimal equivalent of 34.5%

4. Bella weighs 34.48 kg. What is her weight

to the nearest tenth of a kilogram?

5.

For the class picnic, Mr Webb shares this

carton of juice equally amongst his 25

students. How much (in ml ) does each

child get ?

6.

Kiyan enrolled in a chess course which ran

from the start of April to the end of

September. For what fraction of the year

did Kiyan attend the chess course? Express

your answer in the lowest possible terms.

7.

Phil’s Spanish lesson started at 11:50 am

and ended at half past one in the

afternoon. How many minutes did the

lesson last?

8.

Convert into a mixed fraction:6

23

9.

The table below shows the weight of items

that John plans to take on his holiday. The

airline allows him to carry a total of 25kg.

By how much is he exceeding the permitted

weight?

Clothes 7.5kg

Books 4kg

Golf equipment 12kg

Shoes 3kg

Camping accessories 7kg

10. Write in digits: seven hundred and ninety

thousand and two hundredths.

2



11. A sofa costing £450 is offered at a 20%

discount at the local furniture shop,

while the same sofa is priced at £375 on

a website. Which offers the lower price

and by how much?

12. Mrs Hopkins is making flowers from ribbon.

Each flower needs 80cm of ribbon. How

many metres of ribbon does she need to

make 500 flowers?

13. Oliver has 3 coins that total 15p which he

puts into a piggy bank which already

contains a 2p coin. What is the probability

of drawing a 2p coin, when he draws one

coin at random?

14.

Sana spends £25 per month on cleaning.

How much does she spend each year on

cleaning?

15.

A prism with a circular base is better known

as a _________.

16.

True or false? The wheel of fortune could

land on one of 6 possible prizes only one of

which is the jackpot. The probability of

winning the jackpot is 0.2

17. Which of these letters has no line of

symmetry?

ATWON

18.

9 out of every 72 children suffer from flu

during winter. Calculate the percentage of

children that suffer from flu each winter.

19. These are the fruits Beth grew in her

garden this summer. What is the ratio of

pears to pineapples in the simplest form?

20. There is an offer of £1.89 off the price of

deodorant that normally costs £7.05. What

is the discounted price?

3



21. A treasure map shows the treasure has

been buried in the triangular area between

3 pairs of coordinates: (6, 2), (8,6) and

(4,6). How big is the area which will have to

be searched?

sq. metres

22. In a survey, 80 out of 720 people admitted

that they lose their temper more during the

winter. What angle would show this on a

pie-chart?

23.

Sweta is 3 times as old as her eldest

daughter. If her daughter is eleven and a

half then how old is Sweta?

24. With a scale of 1:5000, a distance of 2km

will appear as ________cm on a drawing.

25. The length of a rectangle is 9 cm. The

perimeter of the rectangle is 24 cm.What is

the width of the rectangle?

26. Mr Jones is travelling from Esher to Reading

by train. He will have to change trains at

Waterloo. He has just caught the train

which is due to arrive at Waterloo at 16:12.

How long will he have to wait before his

train to Reading leaves Waterloo?

Trains from Esher arrive at Waterloo at 12,

30 and 45 minutes past every hour.

Trains to Reading leave Waterloo at 10, 37

and 55 minutes past every hour.

27.

What is the average of the first 6 odd

numbers?

28.

Pearl’s plant is growing by 3.5cm every

month. If it measured 8cm at the end of the

first month, how much did it measure at

the end of the fourth month?

29. The smallest angle of the isosceles triangle

shown below is 35°. What is the size of the

angle labelled ‘a’ ?

4



30. 200 metres of carpet costs £840. What is

the price of 900m?

31. Emma’s mum has prepared squash for the

school fete. She takes 25 litres of water

and adds 15 bottles of concentrated orange

juice. During the fete she sells 250 drinks

each measuring 100 ml and finds there are

3 litres left. How much does a bottle of

concentrated orange juice hold?

32. Express this ratio in the simplest form: 4.5

to 36

33.

On Mr Walcott’s bank statement it says

that he owes the bank £15.00 so the entry

appears as – 15.00 at the end of last month.

During this month he pays £45.00 into the

bank and doesn’t draw out any money.

What should the next statement say?

34.

What would be the appropriate unit to

measure the length of a football pitch?

a. cm b. km c. metres

35. Find the median of the following numbers :

0.753

9

2

3

2

10 40%

36. Fill in the missing number.

122 + __?__ = 6

3

37.

What is the next number in the series?

8 64 216 ___

38. I have to add the following two fractions

together :13

/32 and29

/36. The best way to

do this is to find the lowest number that

both 32 and 36 will divide into exactly – the

lowest common multiple. What is the

smallest number which is a multiple of both

32 and 36?

39.

Chocolate bunnies are made by pouring

melted chocolate into moulds. Each bunny

weighs 50 grams How many chocolate

bunnies can Paula make with 4½ kg of

chocolate?

40. Which of the following is not equal to zero?

a.0

4 b. -5 + 5 c. 0 x 9 d. 12 + 0

5



41. What value must be given to # so that the

number 451#603 is exactly divisible by 9?

42. Karen earns £1 on the first day of her job.

On every subsequent day, she earns twice

as much as the previous day. How much

does Karen earn on the fifth day?

43.

Express 3.5g in kg.

44. I’m thinking of a number. When I divide it

by 4 it is 21 less than it was originally.

What is the number?

45. A survey conducted in a nursery showed

the favourite characters of children were as

follows.

How many more children favoured Peppa

than Noddy?

46. Across the country, there are 800 classes

studying for an exam in Ancient History.

Each class has 25 children and there are 45

questions in the exam. How many answers

will need to be marked?

47.

It’s now 10pm. What time will it be when

the hour hand has turned through 3 right

angles?

48. Yes or no? Can a triangle made with 4

matchsticks be an equilateral triangle?

49. For every non-fiction book that Nelson has,

he has four comics. If he has 96 comics,

how many non-fiction books does Nelsonhave?

50. What fraction of the numbers, from 4 to 21

are prime numbers? You should include

both 4 and 21 in your calculations.

51.

The ages of the workers at the Café Day are

given below. What is the median of their

ages?

32 47 21 63 18 44 55

0 10 20 30 40

Others

Thomas

Noddy

Dora

Peppa

6



52. The junior school is going to get its own

swimming pool. The pool measures 20

metres by 5 metres and is 1 metre deep. It

needs to be lined with special tiles which

will cost £100 for every square metre. How

much will the school have to spend on the

tiles?

53. Mr Gromwell bought 4m of fencing, 4 sacks

of gravel and 20 containers of concrete to

complete his job. By how much has he

exceeded his budget of £300 pounds to

complete the work?

54.

How many lines of symmetry does this

figure have?

55. On the map, the local park is shown as a

rectangle measuring 21 cm by 17 cm. The

scale of the map is 1cm = 10 m. How far will

I have to walk if I walk all the way round the

edge of the park?

56. Sam starts with ‘n’ marbles. Frank gives him

twice as many marbles as he already has

and then Sam gives 12 marbles to Sarah.

How many marbles does Sam have now?

57. I am going to share my New Year’s bonus of

£170 between my 4 children. How much

will each get?

58.

Calculate: 179.001 – 297.09

59. If I divide 16,000 by 100, what is the place

value of the 6 in my answer?

60.

True or False? The capital letter ‘M’ has two

lines of symmetry.

alse

END OF MAIN TEST

Scholarship level questions on next page

7



Scholarship level questions

S1 Last season, Toytown United Football Club

bought a new striker and a central defender for a

total of £24 million pounds. This year, the club had

to sell them both to pay for the new stand. In total

they received £31 million pounds for the twoplayers making a profit of 25% on the striker and

50% on the defender. How much did they sell the

striker for?

Answer £25 million

S2 The plan below represents the playground in my

junior school. The corners are at co-ordinates (13,

12), (13, -14), (-13, -14) and (-13, 14) and the arrow

indicates north. Four crosses have been drawn on

the playground at co-ordinates (10, 10) , (6, -7) , (-8, -11) and (-5 , 5) but these are not shown on the

plans below.

If you were to connect the 4 crosses to form a 4

sided figure, which of the following would be the

most accurate description of the figure:

a.

an irregular quadrilateral

b. a trapezium

c. a parallelogram

d.

a rectangle

e.

a rhombus

Answer : an irregular quadrilateral

There are strict rules in our school which state that

you can only walk in the direction of one of the four

compass points. To get from the centre (0,0) to the

nearest of the 4 crosses involves walking a total

distance of 20 metres. If you were to walk from

cross to cross all the way round the four sided

figure, following school rules at all times, how far

would you walk?

END OF TEST

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Maths Paper 4

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