Maths Paper 3

7/23/2019 Maths Paper 3

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Tutor Notes

Tutor Notes

Maths

Test 3

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 3

1. Choose the most suitable units of measurement

from the following:

cm km g kg litres

i. A packet of sweets ____

ii. Your weight ____

iii. Width of a book ____

iv. Distances e.g. London to Paris ____

v. Amount of water in a bath ____

2.

What is the ratio of vowels to consonants in theword MATERIAL? Express in the lowest form.

________

3. Alice left for work at 8:10am and reached the

office at 9:43am. How long did the journey take?

______ hour_____minutes

4. Two brothers weighed themselves – the older

one weighed 65 kg which was 10 kg more than

his brother. Their sisters then weighed

themselves. One sister weighed 45 kg and the

other sister weighed 35 kg.

Express the combined weight of the girls as a

fraction of the boys’ weight in its lowest form.

_________

5. Find the fraction that is exactly midway between1

3 and

2

3 Express your answer in the lowest form.

_________

6. Find the Highest Common Factor of 180 and 216.

_________

7.

Michael has a rope measuring 17m in length. He

snips off three-fifths of it and gives the rest to his

sister. How long is the piece that he gives to his

sister?

_________

8. A buffet meal at the Eatwell restaurant costs £30

plus a 12% service charge. What is the total cost

of a meal?

_________

9. What is 5:56pm as displayed in a 24-hour clock?

:

10. The number of cups of tea sold each day in our

café last week was as follows:

27, 35, 90, 67, 90, 26.

What is the mode of the data?

_________

2



11. Which is bigger, a quarter of a metre or a five

thousandth of a kilometre?

__________________

12.

The plans of an aircraft have a scale of 1:800. If

the actual wingspan of the aircraft is 20m, what

is this (in cm) on the plans? The drawing below is

not ‘to scale’.

________

13.

The location of the house marked by the point isreflected in the Y-axis. What are the new

coordinates of the house?

_________

14. Find the smallest digit that can replace the

question mark to make 199?078 a multiple of 3.

_________

15. Round the length of John’s driveway measuring

19.96m to the nearest tenth of a metre.

_________

16. Write sixteen million one hundred and one in

number form.

__________________

17.

What is the probability of the spinner landing ona number divisible by 3 and 4?

_________

18.

Mark got 9 spellings correct out of 15 spellings

that his teacher gave him. What is his score

expressed as a percentage?

_________

19.

There may be showers, steady rain or a

downpour today. There may or may not be high

levels of pollen in the air. The chance of lightning

is 5%. How many possibilities are there?

_________

3



20. Year 6 are planning to run round the edge of the

playing field on a sponsored run. The plans show

that the field is made up of a square section to

which a triangular section was later added. The

plans are drawn at a scale of 1:1000. If Laura

runs twice round the field, how far will she have

run?

_________

21. Add the following numbers together:

15.09 166.01 11.001

_________

22. Which of these is the same as 6.66 ÷ 100?

a. 66.6 ÷ 10 b. 0.666 x 100 c. 0.00666 x 10

d. 66.6 x 100 e. 6.6 ÷ 100

_________

23.

Which of the arrows marks the position of .543rounded off to the nearest hundredth on the

scale shown below:

_________

24.

Lynne cuts out the cross shown below from the

side of a cereal box. All the edges are the same

length. Calculate the total area of the shape.

_________

25. Complete the series:

8a77a

6 ____5a

44a

33a

2

26. The total bill for 13 nights at the Relax Inn is

£1,183. What is the cost per night at the hotel?

_________

27. The diagram below shows the trading done by

Martin Clock Company. What percentage of their

business is in antiques?

_________

4



28. Use two cards from these number cards to

complete the sum below:

(_____ - _____) x 7 + 9 = 30

29.

A factory produces these amounts of toys indifferent batches of production. Circle those

batches that can be packed exactly in packets of

9?

a. 551 b. 648 c. 941 d. 513 e. 1089

30.

Use the numbers 4, 5, 6 and 7 once each to fill in

the blanks in the calculation below :

= 78

31. Ryan was 18 minutes late when he arrived at

school at 9:43am. When should he have got

there?

_________

32. Mrs Knitwell can knit 2 sweaters in 5 days. At

that rate, how long does she need to knit 7

sweaters?

_________

33. Convert 0.35mm into centimetres. Please

express your answer as a decimal.

__________

34.

The letters that make up the word FANTASTIC arewritten on cards and turned face down. You draw

a card at random. What is the probability that the

letter drawn is a vowel? Express your answer in

the lowest form.

_________

35.

What is ‘c’ when 50 – 4c = 22 ?

_________

36. The sum of the ages of two friends is 22 and the

difference between their ages is 6. How old will

the older friend be 5 years from now?

_________

37. Helen buys 20 pints of milk every week. Roughly

how many litres is this? Circle the correct answer.

20 litres 11 litres 50 litres 2.5 litres 15 litres

7 8 5 9

5



38.

Write77

12 as mixed fraction.

_________

39. If you start to draw a 4-sided figure by drawing 2

lines from a point making an angle of 60° then

what would the other 3 angles add up to?

_________

40. There are ducks and cows in the farmyard. Jerry

sees 48 legs in all. There are the same number of

cows and ducks. How many ducks are there?

_________

41.

The bar graph below shows the ice-creams sold

by a shop on one day. Which was the third most

popular flavour?

______________

42. If you can divide a number by 14 with no

remainder then you can also divide that number

by 7 and by 2. True or false?

_________

43.

A number machine’s input output table is shown.

Complete the missing entries if the machine

functions using the same formula for every input.

INPUT OUTPUT

5 228 37

12 ?

7 32

? 47

INPUT = _____ OUTPUT = _____

44. Three in every five children in my school suffer

from hayfever. If 180 children have suffered from

hayfever, what is the total number of children in

my school?

_________0 50 100 150

Vanilla

Strawberry

Chocolate

Tropical

Raspberry

6



45. Rajan’s building blocks are cubes which measure

1cm along each edge. He has made the shape

shown below. What is the total volume of his

model?

_________

46. The price of one kilogram of gold is £7,500. How

much would 750g of gold cost?

_________

47. Francis has a choice between buying 8 individual

yoghurts priced at 59p each or a multi-pack of 8

priced at £2.99. How much does he save when he

buys the multipack?

_________

48. A pet shop’s sales of tarantulas for the week

were as follows:

Day Sales

Monday 7

Tuesday 11

Wednesday 14Thursday 6

Friday 4

What is the median number of sales?

_________

49. Please insert the correct sign (<, > or =) below :

2/3 ________ 3/5

50. The distance between the 2 main Vorgan cities is

said to be 99 truds. Since a mile is known to be

equal to 13/8 truds, what is this distance in miles?

_________

END OF MAIN TEST

Scholarship level questions on the next page

7



SCHOLARSHIP LEVEL Q UESTIONS

S1. I have two function machines which give me

the following results :

Machine 1 Input Output

800 416

200 116

4 18

Machine 2

100 198

20 38

6 10

If I enter a particular number, both machines give

me the same output. What is that number?

S2. We are watching a motor race. The race is 70

laps and the Ferrari is lapping in 137.8 seconds

compared to 138.3 seconds for the Mercedes.

However the Ferrari needs to stop for tyres every

20 laps whereas the Mercedes will only stop once.

A stop for tyres takes 19 seconds. Assuming they

maintain this pace throughout the race and are not

delayed in any way by having to overtake other

cars, who will win the race and by how much?

END OF TEST

8

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