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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.
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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?
_________
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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?
_________
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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?
_________
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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
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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
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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
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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
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