Mathematics practice test 4

Mathematics
Practice Tests
Michael W Priestley
Level 4
Mathematics
Scholastic Study Smart: Mathematics Practice Tests (Level 4) © Michael W. Priestley, Scholastic Teaching Resources

Text copyright © 2002, 2010 by Michael W Priestley
Copyright © 2013 Scholastic Education International (Singapore) Private Limited
All rights reserved.
Previously published as Scholastic Success With Math Tests Grade 3 to Grade 6
by Scholastic Inc.
This edition published by Scholastic Education International (Singapore) Private Limited
A division of Scholastic Inc.
No part of this publication may be reproduced in whole or in part, or stored in a retrieval
system, or transmitted in any form or by any means, electronic, mechanical, photocopying,
recording, or otherwise without the written permission of the publisher. For information
regarding permission, write to:
Scholastic Education International (Singapore) Private Limited
81 Ubi Avenue 4 #02-28 UB.ONE Singapore 408830
education@scholastic.com.sg
First edition 2013
ISBN 978-981-07-3235-6

3
Mathematics Practice Tests is designed to help your child
prepare to take mid-year and end-of-year tests.
Each practice test has 15 multiple-choice problems, 17–20 short
response problems and 7–11 extended response problems.
Your child should take 80–90 minutes to complete each
practice test.
The questions in each test assess
• Knowledge: the ability to recall mathematical facts,
concepts, rules and formulae, and to perform straightforward
computations
• Comprehension: the ability to interpret data and use
mathematical concepts, rules or formulae and to solve routine
mathematical problems
• Application and Analytical Skills: the ability to analyze data
and/or apply mathematical concepts, rules or formulae in
complex situations
At the back of this book you will ind a Skills and Strategies
Index and an Answer Key.
The Skills and Strategies Index
• categorizes the problems according to Knowledge,
Comprehension, and Application and Analytical Skills
categories,
• lists the mathematical concepts and skills measured and the
test problems that measure each skill, and
• lists suggested problem-solving strategies for some extended
response problems.
This index may be helpful to you in determining what kinds of
problems your child answered incorrectly, what skills he may
be having trouble with, and which areas he may need further
instruction in.
To score a test, please refer to the corresponding Answer Key,
which lists the correct response to each problem and provides
worked solutions to extended response problems.
117
Answer Key
Mid-Year Test A
Section A
1. a 2. b 3. d 4. d5. b 6. d 7. d 8. a9. c 10. c 11. d 12. b13. a 14. c 15. d
Section B
16. 300 17. 1, 2, 4, 8, 1618. 10 000
19.
20.
R
55°
Q
P
21. (E, 2) 22. Line QT
23. WZ and XY or WX and ZY
24. 35 25. 10
26. 27 27. 16
28. 90
29.100 × 10 = 1000 30. 4
31. 12 32. 6 7
10
33. a. 41
2 b. 11
2
34. 12
Section C
35. a.
Name English Mathematics
Joe 96 points 78 points
Sally 57 points 62 points
Tim 83 points 77 points
b. Joe had the best score in Mathematics.
c. Joe scored 78 points.
Sally scored 62 points.
78 − 62 = 16
Joe scored 16 points more than Sally.
d. Joe’s total score 96 + 78
= 174
Sally’s total score 57 + 62
= 119
Tim’s total score 83 + 77
= 160
Joe was the top scorer in the exam.
36. a. 3
5
× 25 = 15
He gives away 15 guppies.
b. 25 – 15 = 10
He has 10 guppies left.
37. a. Strategy: Draw a model
Pawpaw
Pear
980 g
?
Mass of pear 980 ÷ 7
= 140
The mass of the pear is 140 grams.
b. 980 + 140 = 1120
The total mass of the two fruits is 1120 grams.
38. 1 – 1
3
= 2
3
2
3
× 360 = 240
240 passengers inally reached Penang.
Girls
Boys
Adults
34 740
?
?
Total units 1 + 9 + 5
= 15
15 units 34 740
1 unit 34 740 ÷15
= 2316
109
Skills and Strategies Index
Mid-Year Test A
Skills
Knowledge
Comprehension
Application
WHOLE NUMBERS1 Number notation and place value
Q1, Q16
2 Approximation and estimation
Q2
3 Factors and multiples
Q9, Q17
Q12, Q26, Q40 Q34
4 Patterns
5 Multiplication by a number up to 2
digits
Q3, Q18
6 Division by a 1-digit number
7 Word problems
Q14, Q15, Q29,Q37, Q39 Q41
STATISTICS
8 Tables and line graphs
Q7, Q24
Q25, Q35
9 Coordinate geometry
Q5, Q6, Q20,Q21
FRACTIONS
10 Addition and subtraction of fractions Q4
Q32
11 Fraction of a set
Q8
Q13
12 Mixed numbers and improper
fractions
Q27
13 Word problems
Q30, Q31, Q33,Q36, Q38
GEOMETRY
14 Angles
Q10, Q19
Q11
15 8-point compass
Q28
16 Perpendicular and parallel lines
Q22
17 Properties of a square and a
rectangle
Q23Strategies
Knowledge
Comprehension
Application
1 Draw a model
Q37, Q39
2 Work backwards
Q40
3 Draw a diagram
Q41
Welcome to !

4
How to use this book
1. Ensure your child has the necessary tools such as a ruler, protractor,
set-square etc.
2. Tell your child how much time he has to complete the practice test.
Encourage him to work quickly and carefully, and to keep track of
the remaining time — just as he would in a real testing session.
3. Do not allow your child to use a calculator.
4. To score a practice test, go through the test and mark each problem
answered correctly. Add the number of correct answers to ind your
child’s test score. Record the score on the contents page to keep track
of your child’s progress.
You might want to have your child correct his own tests. This will give
him a chance to see where he made mistakes and what he needs to do
to improve his scores on the next test. Provide remediation as necessary.
5. Parallel problems across tests allow you to assess if remediation has
been successful.
On the next page of this book, you will ind test-taking tips. You may want to
share these tips with your child before he begins working on the practice tests.
78
36. Mr Bunker fell asleep in the afternoon at the time
shown. He woke up 1 hour and 30 minutes later.
At what time did he wake up? Give your answer
using the 24-hour clock.
12
6
11 1
57
10
8 4
2
9 3
37. Kelly gave 3
4
of her stickers to Charlie. She had
6 stickers left. How many stickers did she
give Charlie?
92
38. Jimmy’s swimming lesson started at the time shown
on the clock. His lesson ended 1 hour 30 minutes later.
12
6
11 1
57
10
8 4
2
9 3
a. At what time did the lesson end?
b. If Jimmy’s watch was 10 minutes fast, what time
would the watch show when the lesson ended?
Give your answer using the 24-hour clock.
39. A box had 60 biscuits.
3
5
of them were wholegrain
biscuits and
1
4
were rolled biscuits. The rest were
cheese biscuits.
a. How many wholegrain and rolled biscuits were there?
b. How many cheese biscuits were there?
Parallel problems

5
A Note to Parents
Dear Parents
Children are more likely to be successful learners of mathematics when parents
actively support their learning. By playing an active role in your child’s learning,
you will reinforce his skills and nurture a positive attitude towards mathematics.
Take some time to go through these test-taking strategies with your child so that he
becomes familiar with them. Help your child apply these strategies when taking
mathematics tests.
• Learn the vocabulary
Become familiar with all mathematical terms that may appear in the test
(for example area, remainder, speed, etc.) so that you understand what you
are being asked to do.
• Underline key words
Underline the key words after reading the problem carefully. Are you asked to
ind the sum? The angle measure?
• Choosing the right option in a multiple-choice problem
Read the problem carefully then read all the answer options. Eliminate the
options that you know are incorrect. If you are still unsure of the inal answer,
substitute the unknown in the problem with the remaining options and check if
the answer is correct.
• Identify the unnecessary information
Word problems sometimes give you more information than you need to solve
the problem. Seek what you need and ignore the unnecessary information.
• Use problem-solving strategies
Often there is more than one way to solve a problem. Apply a strategy that
works best for a problem, e.g. drawing a picture, making a list, etc.
• Use your time wisely
Plan how much time you should spend on each problem. This helps ensure that
you have ample time to complete the test and do a thorough check of your work.
• Check your work
When you have completed the test, go over as many problems as you can,
making sure your answers are correct. Never rush through a mathematics test.

6
Contents
Topics Tested
Test
Papers
Pages Score
1. Number Notation and Place Values Up to 100 000
2. Approximation and Estimation
3. Factors and Multiples
4. Number Patterns
5. Multiplication and Division
6. Tables and Line Graphs
7. Coordinate Geometry
8. Addition and Subtraction of Fractions
9. Fraction of a Set
10. Mixed Numbers and Improper Fractions
11. Angles and 8-Point Compass
12. Perpendicular and Parallel Lines
13. Properties of a Square and a Rectangle
Test A 7–18
50
Test B 19–30
50
Test C 31–42
50
Test D 43–54
50
Mid-Year
Topics Tested
Test
Papers
Pages Score
1. Number Notation and Place Values Up to 100 000
2. Approximation and Estimation
3. Factors and Multiples
4. Multiplication and Division
5. Tables and Line Graphs
6. Coordinate Geometry
7. Fractions
8. Angles and 8-Point Compass
9. Perpendicular and Parallel Lines
10. Properties of a Square and a Rectangle
11. Decimals
12. Time: Seconds and the 24-hour Clock
13. Area and Perimeter
14. Symmetry
15. Tessellations
16. Patterns
Test E 55–68
50
Test F 69–82
50
Test G 83–94
50
Test H 95–108
50
End-of-Year
Skills and Strategies Index................................................................................. pages 109–116
Answer Key..................................................................................................... pages 117–128

7
Mid-Year Test A
1. 40 000 + 500 + 6 =
a. 40 506
b. 45 600
c. 40 000 506
d. 40 500 006 ( )
2. Mr Barnes drove 4237 kilometers
in his truck. What is 4237
rounded off to the nearest
hundred?
a. 4000 b. 4200
c. 4300 d. 5000 ( )
3. 27
× 40
a. 360 b. 828
c. 1010 d. 1080 ( )
4.
5
9
−
2
9
=
a.
7
9
b.
10
18
c.
6
18
d.
1
3
( )
Date:
Section A
Questions 1 to 15 carry 1 point each. For each question,
choose the correct answer and write its letter
in the parentheses ( ) provided.
Use the grid to answer questions 5
and 6.
Jarvis is located at (8, 4) on the grid.
5. Which city is located at (2, 5)?
a. Keene b. Pocono
c. Howell d. Jarvis ( )
6. Where on the grid is
Creek located?
a. (8, 4) b. (5, 6)
c. (6, 8) d. (7, 8) ( )
10
9
8
7
6
5
4
3
2
1
0
1 2 3 4 5 6 7 8 9 10
Creek
Howell
Pocono
Keene
Jarvis

8
The table shows the rates for
overnight delivery of packages.
¡¢£¤¥¦§ ¨¡©¤ ¡¢
Mass step
not over
Rate
1 kilogram A
2 kilograms B
5 kilograms C
10 kilograms D
15 kilograms E
7. Which rate applies to a package
weighing 11
1
2
kilograms?
a. Rate B
b. Rate C
c. Rate D
d. Rate E ( )
8. Which number sentence is true?
a. 9 ×
1
9
=1
b.
1
5
× 5 = 5
c. 3 ×
1
3
= 3
d. 1 ×
7
7
= 7 ( )
9. Which pair of numbers are
factors of 42?
a. 4, 8 b. 5, 15
c. 6, 7 d. 9, 13 ( )
10. The igure is made up of
perpendicular lines. How many
right angles are within the igure?
a. 2 b. 4
c. 6 d. 8 ( )
11. What is the measure of the
angle formed by the hands on
the clock?
12
6
11 1
57
10
8 4
2
9 3
a. 30° b. 90°
c. 150° d. 180° ( )
12. What is the greatest common
factor of 8, 12, and 24?
a. 2 b. 4
c. 6 d. 24 ( )
13. 0 ×
1
4
=
a. 0 b.
1
4
c. 1 d. 4 ( )

9
14. Kim needs to collect 198 stamps
to redeem a prize. She has
collected 47 stamps. About how
many more stamps does she need
to collect?
a. 50 b. 100
c. 150 d. 200 ( )
15. On Monday, 715 people went
to the mall. On Tuesday, 892
people went to the mall. About
how many people went to the
mall in those two days?
a. 1200 b. 1400
c. 1500 d. 1600 ( )

For questions 16 to 34, each answer carries 1 point.
Write your answer in the answer blank provided.
16. 60 348 = 60 000 + + 40 + 8
Ans:
17. List all the factors of 16.
Ans:
18. 1250 × 8 =
Ans:
19. Construct /PQR using a protractor such that the
measure of /PQR = 55°. Mark and label the angle.
R Q

10
Use the grid to answer questions 20 and 21.
8
7
6
5
4
3
2
1
0
A B C D E F G H
20. Draw the shape located at (C, 5).
Ans:
21. Where on the grid is located?
Ans:
22.Which line is parallel to Line RS?
Q
R S
T
Ans:

11
23. WXYZ is a square. Which two line segments are parallel?
W Z
X Y
Ans:
The graph shows the daily temperature of a desert at
1.00 p.m. from Monday to Friday. Use the graph to
answer questions 24 and 25.
70
60
50
40
30
20
10
0
Mon Tue Wed Thu Fri

Temperature(°C)
Daily Temperature at 1.00 p.m.
24. What was the temperature on Tuesday?
Ans: °C
25. What was the difference in temperature between
Wednesday and Thursday?
Ans: °C

12
26. What is the least common multiple of 9 and 27?
Ans:
27. How many sixths are there in 2
2
3
?
Ans:
28. You are facing south. You need to turn through °
in a clockwise direction to face west.
Ans: °
29. There are 98 crates of orange juice in a truck.
Each crate has 12 bottles of orange juice.
Write a number sentence to show the best estimate
of the total number of bottles of orange juice in
the truck.
Ans:
30. Mr Breen bought 1
1
2
kilograms of cake lour and
2
1
2
kilograms of bread lour. How much lour did
he buy altogether?
Ans: kg
31. The 20 members of a soccer team voted on a new
mascot.
3
5
of them voted for the giraffe. How many
votes were for the giraffe?
Ans: votes

13
32. The board shows the distance of four trails.
Slimy Slope 3
1
3
kilometers
Hidden Hollow 3
1
2
kilometers
Mosquito’s Misery 3
1
10
kilometers
Mucky Way 3
3
5
kilometers
What is the total distance of Mosquito’s Misery
and Mucky Way?
Ans: km
33. Joan bought 3 jugs of milk. Each jug contained 2 liters
of milk. She drank
3
4
of the milk during the week.
a. How much milk did Joan drink?
Ans: L
b. How much milk was left?
Ans: L
34. Jamie went to a fair and bought a book of 50 tickets.
Some rides needed 4 tickets while other rides needed
5 tickets. What was the maximum number of rides
he could take?
Ans: rides

14
!#$%' (
Show your work clearly in the space provided.
Write your answer in the space provided.
35. Joe, Sally, and Tim took an exam where they were
tested in English and Mathematics. Their scores
are shown.
Joe’s scores
English: 96 points
Mathematics: 78 points
Sally’s scores
English: 57 points
Tim’s scores
English: 83 points
a. Complete the table.
Name English Mathematics
Joe 78 points
Sally 57 points
Tim
b. Who had the best score in Mathematics?
c. How many more points did Joe score than Sally
in Mathematics?
d. Who was the top scorer in the exam?

15
36. Alex has 25 guppies. He gives
3
5
of the
guppies to his friend.
a. How many guppies does he give away?
b. How many guppies does he have left?
37. A pawpaw has a mass of 980 grams. It is 7 times as
heavy as a pear.
a. What is the mass of the pear?
b. What is the total mass of the two fruits?

16
38. There was a total of 360 passengers on a few buses
traveling from Singapore to Penang. Midway, one
of the buses broke down, leaving behind 1
3
of the
passengers. How many passengers inally
reached Penang?
39. At a concert, there are 9 times as many boys as girls.
There are 5 times as many adults as girls.
If there is a total of 34 740 people,
a. how many boys are there?
b. how many adults are there?

17
40. I think of a ive-digit whole number which is divisible by 5.
There are 8 hundreds. The digit in the ten thousands
place is 9. The digits in the thousands place and in the
tens place are 1.
a. What could the number be?
b. If the number is also divisible by 10, what is
the number?

18
41. Some workers installed streetlights along a straight
road which was 80 meters long. The distance
between two streetlights was 5 meters. A streetlight
was installed at each end of the road. How many
streetlights did the workers install along the road?

19
Mid-Year Test B
Date:
Section A
1. 70 000 + 400 + 8 =
a. 7480 b. 70 048
c. 70 408 d. 70 480 ( )
2. Miss Falco collected 8675
buttons for her collection last
year. What is 8675 rounded to
the nearest hundred?
a. 8000 b. 8600
c. 8700 d. 9000 ( )
3. 7896 ÷ 4 =
a. 1479 b. 1874
c. 1964 d. 1974 ( )
4. The number 40 is a multiple
of .
a. 3 b. 4
c. 6 d. 7 ( )
factors of 56?
a. 7, 8 b. 4, 12
c. 9, 6 d. 5, 11 ( )
and 7.
Point P is located at (2, 8).
6. What is the location of Point R?
a. (2, 8) b. (8, 3)
c. (8, 6) d. (9, 6) ( )
7. Which point is located at (7, 8)?
a. P b. Q
c. R d. S ( )
10
9
8
7
6
5
4
3
2
1
0
1 53 72 64 8 9 10
S
R
QP
T

20
8. 5
6
+ 5
6
=
a. 12
3
b. 10
12
c. 13
6
d. 10
36
( )
9. Which fraction is equivalent
to 3 1
2
?
a. 7
2
b. 4
2
c. 2
3
d. 6
2
( )
10. Which shape has no
parallel sides?
a. b.
c. d.
( )
11. Of the 72 students in a school
band, 3
4
are boys. How many
band members are boys?
a. 18 b. 48
c. 54 d. 60 ( )
12. Dolly’s bakery sold 512 mufins
on Friday and 684 mufins on
Saturday. About how many
mufins were sold in those
two days?
a. 1200 b. 1400
c. 1600 d. 1800 ( )
13. The igure is made up of unit
squares. What fraction of the
igure is shaded?
a. 8
8
b. 8
16
c. 5
16
d. 5
8
( )
14. Lonnie bought 4 packs of buttons.
Each pack has 52 buttons. About
how many buttons did he buy
altogether?
a. 50 b. 100
c. 150 d. 200 ( )
15. A Grade 4 class went to the
Nature Center. They bought 124
entrance tickets. What other
information do you need to know
to ind the cost of each ticket?
a. where the Nature Center was
b. what the exhibits in the
Nature Center are
c. the name of the Nature Center
d. the total amount of money
spent on the tickets ( )

21
Section B
16. Write the number 60 412 in words.
Ans:
17. 87 625 = 80 000 + 7000 + + 25
Ans:
18. Mr Evans drove 3295 kilometers last month.
What is 3295 rounded to the nearest hundred?
Ans:
19. 2372 × 4 =
Ans:
20. What are the next three multiples of 5 in the pattern?
6140, 6145, 6150, , ,
Ans:
21. 2 – 3
8
=
Ans:

22
22. Construct /ABC using a protractor such that the
measure of /ABC = 70°. Mark and label the angle.
B C
23. What is the measure of the angle formed by the hands
of the clock?
12
6
11 1
57
10
8 4
2
9 3
Ans: °
24. In 26 375, the difference between the value of the digit 2
and the value of the digit 7 is .
Ans:
25. What are the common factors of 9, 12, and 27?
Ans:
26. What are the irst two common multiples of 4 and 6?
Ans:

23
Richard asks students from three classes which
lavor of ice cream they like. He puts this information in
a table. Use the table to answer questions 27 to 31.
Class Chocolate Vanilla Strawberry
4A 17 5 18
4B 9 19 12
4C 12 6 21
27. Which is the most popular lavor?
Ans:
28. How many more students in Class 4B like vanilla
lavor than chocolate lavor?
Ans: students
29. How many students in all like strawberry lavor?
Ans: students
30. Which class has the least number of students?
Ans:
31. How many students are there altogether?
Ans: students

24
32. Charlotte created a number pattern. What is the
next number in the pattern?
2, 6, 18, 54,
Ans:
33. Jill is facing north-west. If she turns clockwise
through 135°, she will face .
Ans:
34. ABCD is a square. Find the measure of /x.
A
B
D
10°
x
C
Ans: °
35. 21
2
× 1
5
= A × 1
5
+ 1
2
× 1
5
What is the value of A?
Ans:

25
Section C
Show your work.
36. a. Draw Line CD parallel to Line AB, passing
through Point X.
A
B
X
b. Draw Line GH perpendicular to Line EF, passing
through Point Y.
E
F
Y

26
37. The graph shows the destinations visited by a number
of students on their holidays.
Africa
Numberofstudents
Holiday Destinations of Students
Destinations
Europe Asia America
45
40
35
30
25
20
15
10
5
0
a. How many students visited Africa?
b. Which was the most popular destination?
c. How many more students visited Asia than
America?

27
38. A bag had 271 beads.
Mrs Clark bought 16 such bags.
Mrs Thomson had 240 more beads than Mrs Clark.
a. How many beads did Mrs Clark buy?
b. How many beads did Mrs Thomson have?
39. Nathan packed 2400 commemorative coins into
small cases. Each case had 8 coins. Nathan then
packed the cases into boxes with 12 cases in each
box. How many boxes did Nathan use to pack all
the cases of coins?

28
40. Timmy scored 76 points out of 100 points in his
Science test. He scored 12 fewer points in his
English test than in his Science Test. He scored
19 more points in his History test than in his
English test.
a. What was Timmy’s score for his History test?
b. Complete the table.
Test Score
Science
English
History
c. Timmy wanted to do better in his English test so
that his total score would be 230 points. How
many more points would he need to score in his
English test?

29
41. At King’s Cross Station, there were 644 passengers
on the train. There were 3 times as many passengers
on the train at Hanslow Station as at King’s Cross
Station. At Heathrow Station, there was a quarter
of the number of passengers at Hanslow Station.
How many passengers were on the train at
Heathrow Station?
42. Hope used 1
4
of a piece of fabric to sew a dress.
She then used 1
6
of the piece of fabric to sew a
cushion cover. She had 70 meters of fabric left.
What was the original length of the piece of fabric?

30
43. A four-digit whole number is divisible by 4 and is greater
than 5000. The thousands digit is a multiple of 4. The digits
in the thousands place and the tens place are the same.
The sum of the digits in the ones and hundreds place is 9.
The ones digit is greater than the hundreds digit.
What is the four-digit number?
(Hint: For a number to be divisible by 4, the sum of
the last two digits must be divisible by 4.)
44. Smith Street is 200 meters long. There are 51 trees
from the start to the end of the street. All the trees are
planted at an equal distance from one another. What
is the distance between every two trees?

31
Mid-Year Test C
Date:
Section A
1. Claire collected 587 special
edition dolls. What is 587
rounded to the nearest hundred?
a. 500 b. 580
c. 590 d. 600 ( )
2. 501
× 39
a. 1509 b. 6012
c. 12 539 d. 19 539 ( )
and 4.
is located at (5, 7).
8
7
6
5
4
3
2
1
10 53 72 64 8
3. What shape is located at (6, 3)?
a. b.
c. d. ( )
4. Where on the grid is located?
a. (7, 2) b. (3, 6)
c. (2, 3) d. (2, 7) ( )
5. 3
10
+ 1
5
=
a. 4
15
b. 2
15
c. 3
5
d. 1
2
( )
6. 21
4
written as an improper
fraction is .
a. 9
4
b. 3
4
c. 7
2
d. 8
4
( )

32
Use the diagram to answer questions
7 and 8.
L
K
M
P
N
7. Which line is parallel to Line KL?
a. PL b. LN
c. PM d. LM ( )
8. Which angle is less than 90°?
a. /NPM b. /KPN
c. /KLM d. /LMP ( )
9. Which number has no other
factors except 1 and itself?
a. 9 b. 10
c. 14 d. 17 ( )
10. Which number is a common
multiple of 4, 5, and 10?
a. 10 b. 20
c. 30 d. 50 ( )
11. There are 24 students in
Ms Granger’s class. 12 of them
are girls. What fraction of the
students are girls?
a. 1
2
b. 1
3
c. 3
5
d. 2
3
( )
12. Which of the following angles
formed has a measure that is
greater than 90° but less than
270°?
a.
12
6
11 1
57
10
8 4
2
9 3
b.
c.
d.
( )
13. Mrs Lopez is making 205 cookies
for a bake sale. She has made
68 cookies so far. About how
many more cookies does she
have to make?
a. 70 b. 90
c. 130 d. 170 ( )

33
)012345 6
16. Write the number 98 605 in words.
Ans:
17. What is the value of the digit 1 in 71 225?
Ans:
18. Arrange the numbers in descending order.
41 708, 47 108, 58 017, 51 087
Ans:
The table shows the number of
Grade 4 students who passed or
failed the exams. Use the table to
Mid-term
exam
Final
exam
Number of
students who
passed
120 156
Number of
students who
failed
80 44
14. What is the total number of
Grade 4 students?
a. 124 b. 200
c. 276 d. 400 ( )
15. What is the increase in the
number of students who passed
their exam?
a. 36 b. 40
c. 46 d. 112 ( )

34
19. The table shows the number of people who had
bought bus tickets to various destinations in India.
Which destination was the most popular?
Destination Number of people
Mumbai 2556
Goa 3278
New Delhi 1372
Jaipur 5290
Ans:
20. 4058 × 7 =
Ans:
21. The diagram shows two angles.
a
b
a. Find the measure of /a with a protractor.
Ans: °
b. Find the measure of /b.
Ans: °

35
22. a. How many right angles are there in a 3
4
-turn?
Ans: right angles
b. How many right angles are there in 33
4
turns?
Ans: right angles
The line graph shows the number of mountain bikes sold
by Adventure X Store in ive weeks. Use the graph to answer
questions 23 and 24.
24
8
16
0
20
4
12
1 32 4 5
Numberofmountainbikes
Mountain Bikes Sold
by Adventure X Store
Week
23. In which week did the store not sell any mountain bike?
Ans:
24. In which week was the increase in sales greater
than any other week?

36
Ans:
25. What are the common factors of 7 and 35?
Ans:
26. What are the next two numbers in the pattern?
10, 19, 28, 37, ,
Ans:
27. Amy bought 8 boxes of tiles. Each box has 1108 tiles.
How many tiles did she buy in all?
Ans: tiles
28. Bob is facing north-east. He turns two right angles
clockwise. He is now facing .
Ans:
29. On Sunday, 715 people went to the mall. On
Monday, 532 people went to the mall. About how
many people went to the mall in the two days?
Give your answer to the nearest hundred.
Ans: people
30. Chip spent 3
4
hour playing football and 3
8
hour
on his homework. How much more time did he
spend playing football than doing his homework?
Ans: hour

37
31. Look at the sum. The symbols , , and represent different
even digits.
+
8 8 8
What are the possible values of the symbols?
Ans: =
=
=
789@ABC D
Show your work.
32. Using a set square and a ruler, draw a line
perpendicular to Line ST passing through Point Q.
Q
S
T

38
33. Janelle bought a tool kit at a store. It has a mass of
20 kilograms.
She removed two wrenches that had a mass of
31
4
kilograms each.
a. What was the total mass of the two wrenches?
b. What was the mass of the tool kit in the end?

39
34. David, John, and Susy collected insects for a Science
project. The number of each type of insects collected
are shown.
Susy
Ants — 65
Ladybugs — 28
Crickets — 17
John
Ladybugs — 16
Crickets — 28
David
Ants — 50
Ladybugs — 16
Crickets — 25
Name Ants Ladybugs Crickets
David
John
Susy
b. How many more crickets than ladybugs did
they collect?

40
35. There are 45 apple trees in an orchard. 5
9
of the
trees are lowering.
a. What fraction of the apple trees are not lowering?
b. How many apple trees are not lowering?
36. Blinky had 12 boxes of pressed lowers. Each box
contained 25 pressed lowers.
a. How many lowers did Blinky have altogether?
b. Blinky put the lowers into albums. Each album
had 9 lowers. How many lowers were left over?

41
37. Before a party, Janice mixed 11
2
liters of syrup with
22
5
liters of soda. During the party, her guests drank
11
5
liters of the drink.
a. What is the volume of the drink Janice made?
b. How much of the drink was left over in the end?
38. A contractor used 26 700 tiles to cover the loor of
Ofice A. He used 2400 fewer tiles for Ofice B than
Ofice A. 3500 more tiles were used for Ofice C than
for Ofice B.
a. How many tiles were used for Ofice B?
b. How many tiles were used altogether?

42
39. Smith Road has 61 identical homes built at an equal
distance from one another. The length of each house is
30 meters. What is the distance between every two
houses, if Smith Road is 3570 meters long?
40. I am a two-digit whole number. I am between 80 and
100. Two of my factors are 6 and 8. What number am I?

43
Mid-Year Test D
Date:
Section A
1. 80 000 + 600 + 1 =
a. 8610
b. 80 601
c. 80 661
d. 86 001 ( )
2. Stella drove 607 kilometers last
week. What is 607 rounded to
the nearest ten?
a. 600
b. 610
c. 650
d. 700 ( )
3. 58
× 43
a. 2194
b. 2474
c. 2494
d. 3558 ( )
and 5.
8
7
6
5
4
3
2
1
1
0
53 72
W
Y
Z
V
X
64 8
a. W b. X
c. Y d. Z ( )
5. Where on the grid is Point Y
located?
a. (6, 5) b. (7, 3)
c. (2, 4) d. (3, 6) ( )

44
6. 5
8
− 3
8
=
a. 1
8
b. 1
2
c. 1
3
d. 1
4
( )
7. Write 41
5
as an improper fraction.
a. 5
9
b. 9
5
c. 20
5
d. 21
5
( )
8. Mr James wanted to buy a barrel.
He compared the amount of
water each barrel could hold.
Barrel Capacity (liters)
A 183
4
B 17 9
10
C 181
3
D 177
8
Which barrel can hold the
most water?
a. Barrel A b. Barrel B
c. Barrel C d. Barrel D ( )
9. How many angles in the igure
have measures that are greater
than a right angle?
a. 1 b. 2
c. 3 d. 4 ( )
factors of 39?
a. 6, 7 b. 3, 13
c. 5, 8 d. 4, 9 ( )
11. Which is a common multiple of 3,
6, and 10?
a. 10 b. 18
c. 33 d. 60 ( )
12. When Emily rounded off the
number of sew-on patches in her
collection to the nearest hundred,
she had 2500 patches. Which
could be the actual number of
patches in her collection?
a. 2449 b. 2461
c. 2550 d. 2599 ( )

45
Section B
16. Write sixty-seven thousand, nine hundred and nine
as a numeral.
Ans:
17. 30 000 + 7000 + 8 =
Ans:
13. In 2010, the population of
Seychelles was 90 945. The
population of the Cayman Islands
was 54 878. About how many
more people lived in Seychelles
than in the Cayman Islands?
a. 20 000 b. 30 000
c. 40 000 d. 50 000 ( )
14. The mass of a box of persimmons
is 1 9
10
kilograms. About how
much would the mass of 300
such boxes be?
a. between 30 kg and 40 kg
b. between 50 kg and 60 kg
c. between 300 kg and 400 kg
d. between 500 kg and 600 kg
( )
15. 7325 people went to the county
fair on Saturday. 4190 people
went to the fair on Sunday.
1
5
of the people on Saturday
and 1
2
of the people on Sunday
were children. How many
children were at the fair on
Saturday and Sunday?
a. 1
5
× 7325 + 1
2
× 4190
b. 1
2
× 7325 + 1
5
× 4190
c. 1
2
× 7325 + 4
5
× 4190
d. 4
5
× 7325 + 1
2
× 4190 ( )

46
18. Some of the factors of 20 are 1, 5, 10. What are
the other three factors of 20?
Ans:
19. Find the measure of the angle using a protractor.
Ans: °
20. There are 3722 people living in the town of Wingate.
What is 3722 rounded to the nearest hundred?
Ans:
21. 2907 × 4 =
Ans:
22. 3
5
+ 7
10
=
Ans:
23. 6328 ÷ 4 =
Ans:

47
24. Using a protractor, draw /ABC such that the measure
of /ABC =135°. Mark and label the angle.
A B
Use the grid to answer questions 25 and 26.
F
BE
G
H
A
C
1 step
1 step
D
N
25. Pete starts out at Point A. At which point will he be
if he moves 3 steps west and then 1 step south?
Ans:
26. Pete is now at Point E. He needs to reach Point H.
What is the shortest route he can take?
Ans:

48
27. I am facing east. If I turn 270° clockwise, I will
face .
Ans:
28. Write the irst two common multiples of 6 and 8.
Ans:
29. What are the missing numbers in the pattern?
, 21 160, 21 020, 21 120, 20 980,
Ans:
30. What is the value of 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8?
Ans:
A survey was carried out on a group of students to ind
out their residential types. Use the table to answer
questions 31 to 33.
Residential type Number of students
1-room apartment 5
2-room apartment 7
3-room apartment 15
Terraced house 13
Bungalow 10
31. How many students took part in the survey?
Ans: students

49
32. How many fewer students live in 2-room apartments
than in 3-room apartments?
Ans: students
33. What is the difference between the number of students
who live in the most common residential type and
the number of students who live in the least common
residential type?
Ans: students
34. A car park has 12 rows of parking lots. There is an
equal number of parking lots in each row. If there
are 168 parking lots, how many cars can park in
each row?
Ans: cars
35. The igure is made up of a square and a rectangle.
How many right angles are within the igure?
Ans: right angles

50
Section C
For questions 36 to 41, each answer carries
1 point. Write your answer in the space
provided. Show your work.
36. Using a set square and a ruler,
a. draw a line parallel to the given line passing
through Point A.
b. draw a line perpendicular to the given line
passing through Point A.
A
37. There are 40 birds in a tree. 12 of the birds are sparrows.
a. How many birds are not sparrows?
b. What fraction of the birds are not sparrows?

51
38. There are 23 500 residents in Town X, 63 450 residents
in Town Y, and 15 701 residents in Town Z.
Town Number of residents
X
Y
Z
b. How many more residents are there in Town Y
than in Town Z?
39. In a gym class, 1
4
of the students wear red jerseys,
1
8
of them wear blue jerseys, and the rest wear green
jerseys. There are 32 students in the class. How many
students wear green jerseys?

52
40. Shelly builds bird houses to sell. She takes 11
2
hour
to build and 1
2
hour to paint each bird house.
a. How long does it take Shelly to complete
1 bird house?
b. How long will Shelly take to complete 15 bird houses?
41. Susan had 5 kilograms of butter. She used 1
8
of it
to bake scones. She then bought another 1
2
kilogram
of butter. How much butter did she have in the end?

53
42. The line graph shows the number of people who
owned the mobile phone model Ringping between
2006 and 2012.
0
200
600
400
800
1000
Number
ofpeople Number of People who
Owned Ringping
20062004 20102008 2012
Year
a. Between which two years was there a decrease in
the number of people who owned the Ringping?
How much was the decrease?
b. In which year was the Ringping probably irst
introduced?

54
43. There were 300 boys and 372 more girls than boys
on a ield trip. After the ield trip, the students boarded
buses to take them back to school. Each bus could
carry 40 students.
a. How many students were on the ield trip altogether?
b. How many buses were needed to bring all the
students back to school?
44. A two-digit whole number is between 10 and 50. The number
can be divided by both 4 and 5 without any remainder.
The sum of its digits is 4. What is the number?

55
End-of-Year Test E
Date:
Section A
1. Which number has no other
factors except 1 and itself?
a. 8 b. 9
c. 13 d. 15 ( )
2. An oil tank can hold 250 liters
of oil. The tank has 100 liters of
oil in it now. What fraction of the
tank is illed with the oil?
a. 1
2
b. 2
5
c. 3
5
d. 2
3
( )
3. Janice recorded on a piece of
paper the mass of four cats.
Which is the largest mass she
recorded?
a. 2.69 kg b. 2.84 kg
c. 2.75 kg d. 2.96 kg ( )
4. 8 × 0.6 =
a. 0.48 b. 4.8
c. 48 d. 480 ( )
5. Which letter is symmetric?
a.
H b.
J
c.
G d.
F ( )
6. Which decimal is equivalent to
2
5
?
a. 0.10 b. 10.20
c. 0.30 d. 0.40 ( )
7. 25 × 2.40 =
a. 6.00 b. 15.00
c. 51.00 d. 60.00 ( )
8.
0 1 2
?
a. 15
6
b. 1.8
c. 1.5 d. 21
6
( )

56
The line graph shows the number
of cars sold in four months. Use the
graph to answer questions 9 and 10.
0
20
60
40
80
Jan Feb Mar Apr
Numberofcars
Number of Cars Sold
Month
9. Which two months had the same
number of cars sold?
a. January and February
b. February and March
c. March and April
d. January and April ( )
10. How many cars were sold from
January to April?
a. 60 b. 80
c. 120 d. 160 ( )
11. On Saturday, 6120 people went
to the zoo to see the pandas. On
Sunday, 8870 people went to see
the pandas.
Which number sentence should
be used to ind the best estimate
of the total number of people who
went to the zoo on both days?
a. 6000 + 8000 = 14 000
b. 7000 + 8000 = 15 000
c. 6000 + 9000 = 15 000
d. 7000 + 9000 = 16 000 ( )
12. Two parking lots are joined to
form a big parking lot as shown.
What is the perimeter of the new
parking lot?
80 m
25 m
25 m
80 m
a. 105 m b. 370 m
c. 420 m d. 2000 m ( )
13. Kelly poured 3.94 liters of milk
into a 5-liter container. How
much more milk can the
container hold?
5 L
3.94 L
a. 0.06 L b. 0.60 L
c. 0.96 L d. 1.06 L ( )

57
Section B
16. 23
4
turns make right angles.
Ans:
17. Which of the igures shown are symmetric?
DCBA
Ans:
14. Cal bought these items at a store.
About how much was the total
mass he had to carry?
2.05 kg 1.98 kg 1.10 kg
a. 2 kg b. 5 kg
c. 8 kg d. 10 kg ( )
15. Nina fell asleep on the sofa at
16 15. She woke up at 17 45.
For how long did she sleep?
a. 1 h 15 min
b. 1 h 30 min
c. 1 h 45 min
d. 2 h ( )

58
Use the grid to answer questions 18 to 20.
N
7
6
5
4
3
2
1
A
0
EC GB
W
Y
Z
V X
FD H
18. Which point is located at (F, 5)?
Ans:
19. Where on the grid is Point Z located?
Ans:
20. Which point is north-west of Point W?
Ans:
21. State if the given line is a line of symmetry of each
igure. Write Yes or No.
a.
Ans:

59
b.
Ans:
22. Complete the igure given that Line AB is a line of
symmetry.
A B
23. Color one unit shape of the tessellation.

60
24. State if the shape can tessellate. Write Yes or No.
Ans:
The table shows the number of juice boxes sold by
Aunt Minah in a school canteen. Use the table to
answer questions 25 to 27.
Day Number of juice boxes sold
Monday 421
Tuesday 311
Wednesday 414
Thursday 335
Friday 215
25. On which day did she sell about 420 juice boxes?
Ans:
26. What is the total number of juice boxes she sold
from Monday to Wednesday?
Ans: juice boxes
27. What is the difference between the greatest number
of juice boxes sold and the smallest number of juice
boxes sold?
Ans: juice boxes

61
28. A new book weighs 19.95 grams. About how much
is the mass of 50 such books? Round your answer to the
nearest whole number.
Ans: g
29. John started doing his homework at 09 35. He took
2 hours 45 minutes to do his homework. At what
time did he inish his homework?
Ans:
30. A crate containing gym equipment and books has a
mass of 100 kilograms. 15.75 kilograms of gym
equipment and 25.5 kilograms of books were
removed from the crate. What was the total mass
of the crate and the remaining gym equipment
and books?
Ans: kg
31. Lily pasted a ribbon along the edges of the square card
shown. She then tied the ends of the ribbon into a
bow. If she used 20 centimeters to tie the bow, what
was the total length of the ribbon Lily used?
Happy
Birthday
Area = 25 cm2
Ans: cm

62
32. Complete the pattern given that Line AB is a line of symmetry.
A
B
33. The line in the igure is a line of symmetry.
Draw and shade the igure correctly to make
a symmetric pattern.
34. Greg made this pattern with grey and white tiles.
Complete the pattern by drawing the missing tile in the
box given.
?
Ans:

63
Section C
Show your work.
35. Use the given shape to make a tessellation in the
space provided by drawing 5 more unit shapes.
36. A barrel had 12 liters of grape juice. 1
4
of the juice
was sold.
a. How much grape juice was left in the barrel?
b. If 2
3
10
liters of grape juice were added to the barrel,
how much grape juice was in the barrel inally?

64
37. The table shows the time taken by three friends to
complete a race.
Name Time taken
Joe 1 minute 6 seconds
Min 1 minute 15 seconds
Carl 57 seconds
a. Who won the race?
b. How much longer did Min take to complete the
race than Joe?
38. Abby’s soccer game started at the time shown.
12
6
11 1
57
10
8 4
2
9 3
a. At what time did the game start if the clock was
10 minutes slow?
b. If the game lasted 1 hour 15 minutes, at what
time would the game end using the 24-hour clock?

65
39. a. What are the next two numbers in the pattern?
Explain your answer.
82, 90, 106, 130
b. If the pattern continues, draw the 10th shape.
Explain your answer.
1st 3rd2nd 4th 5th

66
40. The igure shows the new deck that Mr Cohn plans
to build. What is the area of the deck?
20 m
12 m
15 m
9 m

67
41. Jack is 1.63 meters tall. Kate is 0.25 meter taller
than Jack. If Sam is half as tall as Kate, how tall is Sam?
42. John dug a square pond in his garden as shown.
a. What is the length of the pond?
b. What is the perimeter of his garden now?
15 m
12 m
Garden
64 m2
Pond

68
43. Grandpa had fewer than 20 inger puppets. If he gave
each of his grandchildren 3 inger puppets, he would
have 2 inger puppets left. If he gave each grandchild
4 inger puppets, he would be short of 3 inger puppets.
How many inger puppets did he have?
44. I am a four-digit even number. My hundreds digit is
3 times my ones digit. My tens digit is 2 more
than my hundreds digit. My thousands digit is
divisible by 5. What number am I?

69
End-of-Year Test F
Date:
Section A
1. Darey earned 14 685 points on
his membership card at a game
center. What is the value of the
digit 6 in 14 685?
a. 60 b. 600
c. 6000 d. 60 000 ( )
2.
65
100
=
a. 0.065 b. 0.65
c. 6.5 d. 65 ( )
3. At a grocery store, Mara found
four watermelons of different
masses. Which is the greatest
mass?
a. 2.48 kg b. 2.55 kg
c. 2.69 kg d. 2.63 kg ( )
4. 13.28 + 9.7 =
a. 21.98 b. 22.35
c. 22.98 d. 23.08 ( )
5. Suppose that each igure can be
folded along the given line. In
which igure will the two folded
parts match exactly?
a. b.
c. d.
( )
6. Which decimal is equivalent
to 1
4
?
a. 0.20 b. 0.25
c. 0.45 d. 0.50 ( )
factors of 45?
a. 4, 11 b. 5, 9
c. 6, 7 d. 8, 10 ( )

70
The diagram shows Jimbo facing the
park. Use it to answer questions 8
and 9.
Playground
Park
Main road
Home
8. If Jimbo turns 180° clockwise,
where will he face?
a. main road
b. park
c. playground
d. home ( )
9. In which direction should Jimbo
turn so that he faces the main
road in the quickest way?
a. 90° clockwise
b. 90° anticlockwise
c. 180° clockwise
d. 180° anticlockwise ( )
10. Of 160 students, 32 students
have two brothers in the family.
What fraction of the students have
two brothers in the family?
a. 1
5
b. 1
3
c. 1
4
d. 1
6
( )
11. Line AB is the line of symmetry.
Which of the following completes
the symmetric pattern?
A B
a.
b.
c.
d.
( )

71
12. Kerry has a yard for her bunnies.
It is made up of a square and a
rectangle. What is the perimeter
of the yard?
30 m
20 m
a. 50 m b. 80 m
c. 130 m d. 600 m ( )
13. To participate in a contest, each
adult needs 7 points and each
child needs 5.5 points. If
25 adults and 10 children
participate in the contest, how
many points will be needed?
a. 55 b. 175
c. 225 d. 230 ( )
14. Hannah had 100.65 milliliters
of paint. She used 64.8 milliliters
of paint on a poster and
28.65 milliliters of paint on a
card. How much paint did she
have left?
a. 7.2 ml
b. 35.85 ml
c. 72.00 ml
d. 93.45 ml ( )
15. Louis made this pattern with some
tiles. Which tile its the empty
space to complete the pattern?
?
a. b.
c. d.
( )

72
EFGHIPQ R
16. 14.85 + 7.7 =
Ans:
Ans:

73
19. David reached home after school and his digital
watch displayed 15 45. What time is this using the
12-hour clock?
Ans:
The bar graph shows the number of books sold by
Famous Book Store from Monday to Friday. Use the
graph to answer questions 20 and 21.
24
36
44
8
16
28
0
20
32
40
4
12
Mon
Numberofbooks
Books Sold by Famous Book Store
Tue Wed
Day
Thu Fri
20. Complete the table.
Days Monday Tuesday Wednesday Thursday Friday
Number
of books
sold
21. On which days were an equal number of books sold?
Ans:

74
22. A bottle of milk contained 2.695 liters of milk.
Round 2.695 to one decimal place.
Ans:
23. State if the igure is symmetric. Write Yes or No.
Ans:
24. Mrs Dolan drove 285 kilometers on Monday,
390 kilometers on Tuesday, and 205 kilometers on
Wednesday.
a. About how much further did Mrs Dolan drive on
Tuesday than on Wednesday? Round your answer
to the nearest hundred kilometers.
Ans: km
b. Estimate the distance she drove altogether. Round
your answer to the nearest hundred kilometers.
Ans: km
25. The time when Maggie woke up in the morning is shown
on the clock. She had slept for 8 hours 30 minutes.
At what time did Maggie go to bed the night before?
12
6
11 1
57
10
8 4
2
9 3
Ans:

75
26. What is the difference in mass between the heaviest
and the lightest objects?
0.39 kg 2.85 kg 0.24 kg
Ans: kg
27. Zack had twice as many cards as Jen. How many
cards did both of them have in all if Jen had
1256 cards?
Ans: cards
28. What is the measure of the angle formed by the hands
of a clock at 5 o’clock as shown?
12
6
11 1
57
10
8 4
2
9 3?
Ans: °
29. ABCD is a square. Find the sum of the measure of /x and /y.
A
x
y
B
D
C
58°
Ans: °

76
30. 33
4
× 1
2
= P × 1
2
+ 3
4
× 1
2
What is the value of P?
Ans:
31. Complete the igure given that Line AB is a line
of symmetry.
A
B
32. Draw to continue the pattern.
Ans:
33. What are the values of A and B in the pattern?
5 3 4 8 9
17 19 18 A B
Ans: A =
B =

77
STUVWXY `
Show your work.
34. Complete the tessellation by drawing 4 more unit shapes.
35. a. Color one unit shape of the tessellation.
b. Complete the tessellation by drawing 6 more
unit shapes.

78
36. Mr Bunker fell asleep in the afternoon at the time
shown. He woke up 1 hour and 30 minutes later.
At what time did he wake up? Give your answer
using the 24-hour clock.
12
6
11 1
57
10
8 4
2
9 3
37. Kelly gave 3
4
of her stickers to Charlie. She had
6 stickers left. How many stickers did she
give Charlie?

79
38. Use the given shape to make two different tessellations.
a. b.
39. Jug A has 21
5
liters of orange juice and Jug B has
1.5 liters of orange juice.
a. How much more orange juice does Jug A have
than Jug B?
b. What is the total amount of orange juice in the
two jugs?

80
40. Dennis’ square garden had an area of 49 square
meters. How much fencing would he need if he
wanted to fence up the garden completely?
41. Mrs Li bought 6.28 kilograms of carrots. Mrs Chan
bought 1
4
of that amount. Mrs Ho bought 2 times
as much carrots as Mrs Chan. How many kilograms
of carrots did Mrs Ho buy?

81
42. Amy framed the picture shown and hung it on her wall.
The frame formed a border around the picture.
The area of the square frame is 144 square centimeters.
What is the area of the picture?
3 cm
3 cm
2 cm 2 cm

82
43. a. What is the perimeter of the igure?
b. What is the area of the igure?
5 cm
4 cm
10 cm
44. A baker has fewer than 40 mufins. If he packs 5 mufins
into one box, he will have 4 mufins left. If he packs
7 mufins in each box, he will be short of 6 mufins.
How many mufins does the baker have?

83
End-of-Year Test G
Date:
Section A
1. Which number is a factor of 36?
a. 7 b. 8
c. 9 d. 13 ( )
2. Of the 120 cars in a parking lot,
24 are blue. What fraction of the
cars in the parking lot are blue?
a. 1
5
b. 1
3
c. 1
4
d. 1
6
( )
3. 9 × 0.7 =
a. 0.63 b. 6.3
c. 63 d. 630 ( )
4. Tina had 0.6 meter of ribbon.
What fraction of a meter of
ribbon did she have?
a. 2
3
m b. 1
2
m
c. 3
4
m d. 3
5
m ( )
5. Which igure shows a line of
symmetry?
a. b.
c. d.
( )
6. Kippy wrote down the mass of
four of his friends. Which is the
lightest mass?
a. 34.01 kg
b. 42.65 kg
c. 34.10 kg
d. 45.26 kg ( )
7. What number is shown on the
number line?
0 1 2 3
?
a. 1
2
b. 1.5
c. 22
5
d. 2.2 ( )

84
The line graph shows the number of
students at Camp Adventure for the
past ive months. Use the graph to
100
150
200
0
50
Mar MayApr Jun Jul
Numberofstudents
Attendance at Camp
Adventure
Month
8. In which two months was there
an equal number of students at
the camp?
a. March and May
b. May and July
c. March and July
d. April and June ( )
9. What was the greatest increase
in the number of students between
two months?
a. 40 b. 60
c. 75 d. 120 ( )
10. Chet delivers 36 to 43
newspapers every week on his
paper route. About how many
newspapers does he deliver in
4 weeks?
a. 120 b. 140
c. 160 d. 180 ( )
11. Tailor Smith used 5126.32 meters
of fabric on Saturday and
9928.28 meters of fabric on
Sunday.
Which number sentence should
be used to give the best estimate
of the total length of fabric he
used?
a. 5000 + 9000 = 14 000
b. 6000 + 9000 = 15 000
c. 5000 + 10 000 = 15 000
d. 6000 + 10 000 = 16 000
( )
12. Kiki buys 4.38 liters of juice and
Nicky buys 3.29 liters of juice.
How much juice do they buy
in all?
a. 1.09 L b. 7.57 L
c. 7.67 L d. 8.67 L ( )
13. Jen’s plane took off at 11 35.
The time the plane landed is
shown on the clock. How long
was the light?
12
6
11 1
57
10
8 4
2
9 3
a. 1 h 35 min
b. 2 h 25 min
c. 10 h 25 min
d. 10 h 35 min ( )

85
abcdefg h
16. Write 7 thousands 14 hundreds as a numeral.
Ans:
17. In 24 012 + 15 789 = , what is the place value
of the digit 8 in the answer?
Ans:
Ans:
19. Write 24
9
as an improper fraction.
Ans:
14. Sharon had 62.75 meters of
ribbon. Kayla’s ribbon was
15.45 meters shorter than hers.
How long was Kayla’s ribbon?
a. 47.30 m
b. 57.30 m
c. 77.30 m
d. 78.20 m ( )
15. A square ield has an area of
144 square meters. What is the
perimeter of the ield?
a. 12 m b. 24 m
c. 32 m d. 48 m ( )

86
Ans:
21. Color more squares to show forty-ive hundredths shaded.
22. How many right angles are there within the shape?
Ans: right angles

87
23. On a certain day, a reservoir holds 36 527 liters of
water. About how many thousands is 36 527?
Ans: thousands
24. At a track-and-ield meet, the top ive runners inished
the 100-meter hurdles race in the times shown.
18.84 seconds 18.63 seconds 18.70 seconds
18.81 seconds 18.74 seconds
Arrange the times in order. Begin with the fastest time.
Ans:
25. State if Line AB in the igure is a line of symmetry.
Write Yes or No.
A
B
Ans:
26. What are the common factors of 26 and 30?
Ans:

88
27. Color more squares to show 3
5
of the igure is shaded.
28. Sheena started baking her pie at 17 30. She inished
baking at 18 45. How long did Sheena take to bake the pie?
Ans: h min
29. Complete the igure given that Line CD is a line
of symmetry.
C
D
30. The line in the igure is a line of symmetry.
Draw and shade the igure correctly to make
a symmetric pattern.

89
31. A laptop has a mass of about 2.75 kilograms. About
how much is the mass of 86 such laptops?
Ans: kg
32. The rectangular carpet in Simon’s bedroom has an
area of 48 square meters. If the length of the carpet
is 12 meters, what is its breadth?
Ans: m
33. Kumar was facing east. He made a
1
2
-turn in the
clockwise direction. Then he made a 135°-turn
clockwise. Which direction was he facing after
making the turns?
Ans:
35. In a box, 253 red buttons were mixed with 327 pink
buttons. These buttons were then divided into packets
of 20 buttons each. How many packets of buttons
were there?
Ans: packets

90
ipqrstu v
Show your work.
36. The table shows the number of bottle caps collected
by Ali, Beck, and Cindy.
Name Number of bottle caps
Ali 251
Beck 326
Cindy 125
a. Who collected the most bottle caps?
b. How many fewer bottle caps did Cindy collect
than Ali?
c. How many bottle caps did the three children
collect together?

91
37. a. Complete the tessellation by drawing 6 more
unit shapes.
b. Use the unit shape above to make a different
tessellation.

92
38. Jimmy’s swimming lesson started at the time shown
on the clock. His lesson ended 1 hour 30 minutes later.
12
6
11 1
57
10
8 4
2
9 3
a. At what time did the lesson end?
b. If Jimmy’s watch was 10 minutes fast, what time
would the watch show when the lesson ended?
39. A box had 60 biscuits.
3
5
of them were wholegrain
biscuits and
1
4
were rolled biscuits. The rest were
cheese biscuits.
a. How many wholegrain and rolled biscuits were there?
b. How many cheese biscuits were there?

93
40. a. What is the area of the igure?
b. What is the perimeter of the igure?
10 cm
12 cm
5 cm
2 cm
4 cm 10 cm
41. There are 6275 adults and children watching a
soccer game at a stadium. There are 3275 more
adults than children. There are 775 fewer male
adults than female adults.
a. How many adults are there at the stadium?
b. How many male adults are there at the stadium?

94
42. A photo frame measures 15 centimeters by
10 centimeters. A photograph is placed in it,
leaving a border of 2 centimeters wide all around it.
2 cm
15 cm
10 cm
2 cm
2 cm 2 cm
What is the area of the border?
43. There are 315 children in Group A and 419 children
in Group B. How many children must be moved
from Group B to Group A so that the two groups
have an equal number of children?

95
End-of-Year Test H
Date:
Section A
and 2.
10
9
8
7
6
5
4
3
2
1
0
1 53 72 64 8 9 10
D
C
EA
B
1. What are the coordinates of
Point D?
a. (3, 8) b. (4, 2)
c. (4, 4) d. (8, 3) ( )
a. Point A b. Point B
c. Point C d. Point E ( )
3. In June, a factory manufactured
27 691 computer parts. What is
the value of the digit 7
in 27 691?
a. 7 b. 70
c. 700 d. 7000 ( )
4. Which of the following shapes
can tessellate?
a. b.
c. d. ( )
5. Which igure shows thirty-six
hundredths shaded?
a. b.
c. d.
( )

96
6. Which word has a line of
symmetry?
a. DAVE
b. TORI
c. OTTO
d. CHER ( )
factors of 54?
a. 1, 26 b. 3, 19
c. 4, 18 d. 9, 18 ( )
8. 24.05 – 16.8 =
a. 7.25 b. 7.70
c. 8.03 d. 8.30 ( )
9. 4  28.12
a. 6.03 b. 6.93
c. 7.03 d. 7.3 ( )
10. Li Chin came home from
school and napped for
2 hours 15 minutes. If she woke
up at 16 05, at what time did
she take her nap?
a. 01 20 b. 01 50
c. 13 50 d. 14 05 ( )
11. Tim’s clock stopped one
afternoon at the time shown.
The correct time was 18 05.
For how long had the clock
stopped working?
12
6
11 1
57
10
8 4
2
9 3
a. 2 h 20 min
b. 3 h 45 min
c. 4 h 25 min
d. 8 h 15 min ( )
12. A car travels 68 kilometers on
every liter of gasoline. Its tank
holds 10.6 liters of gasoline.
About how far can the car go on
the tank of gasoline?
a. 7 km
b. 70 km
c. 700 km
d. 7000 km ( )
13. Which number sentence is true?
a. 1 + 1
2
= 2
2
b. 1
2
× 0 = 0
c. 3
4
× 1 = 1
d. 1
2
× 3
4
= 1
4
× 2
3
( )

97
Section B
16. In a race, four swimmers inished with these times.
Arrange the swimmers in order. Begin with the
swimmer with the fastest time.
James 30.42 seconds
Rosa 30.64 seconds
Lily 30.33 seconds
Rafael 30.71 seconds
Ans:
17. Write 35
8
as a mixed number.
Ans:
14. Susy needs to post two parcels
to her sister in Canada. Parcel A
has a mass of 5.62 kilograms.
The mass of Parcel B is 3 times
the mass of Parcel A. What is the
mass of Parcel B?
a. 2.62 kg
b. 8.62 kg
c. 16.86 kg
d. 22.86 kg ( )
15. Tiki needs to fence up her garden
so that her bunnies would not hop
away. How much fencing does
she need?
15 m
7 m
14 m
5 m
5 m 5 m
a. 22 m b. 37 m
c. 72 m d. 105 m ( )

98
19. State if the line in the igure is a line of
symmetry. Write Yes or No.
Ans:
20. State if the igure is a symmetric igure. Write Yes or No.
Ans:
21. 5.6 × 0.4 =
Ans:

99
22. Using a protractor, draw /ABC such that the
measure of /ABC = 45°. Mark and label the angle.
A B
23. The test scores of three students are shown.
Tara May Zoe
Score:
30
50
Score:
77
100
Score:
66
100
Name Score
Tara
Zoe
May
b. Who scored the highest?
Ans:
c. If Zoe wanted to score 80 points in the test, how
many points was she short of?
Ans: points

100
24. Write the irst two common multiples of 9 and 6.
Ans:
25. Complete the pattern.
7126, 7132, 7138, , ,
Ans:
26. A tray has 32 brown eggs and 28 white eggs.
What fraction of the eggs in the tray are white?
Ans:
27. A new magazine has a mass of 199.56 grams.
About how much is the mass of 50 such magazines?
Ans: kg
28. Steve works 7.35 hours a day at a fast food restaurant.
About how many hours does he work in 42 days?
Ans: h
29. Complete the igure given that Line AB is a line
of symmetry.
A
B

101
30. Cole spent 2 hours 15 minutes mowing a lawn.
He started at 16 30. At what time did he inish
mowing the lawn?
Ans:
P Q R
?
Ans:
32. Zen is standing at Point A. He wants to move to
different points on the grid. Describe the least
number of steps he has to take and the direction for
each move.
Example: To move from Point A to Point C, he moves
3 steps to the east.
F E D
N
C
B
G
A
H
1 step
1 step
a. From Point A to Point D
Ans:
b. From Point F to Point B
Ans:

102
Section C
Show your work.
33. Complete the tessellation by drawing 3 more unit shapes.

103
34. JollyBee Primary School has a dental clinic. Every day
a number of students have their teeth checked by the
dental nurse. The nurse checked 68 students in January,
51 students in February, 66 students in March, and
15 fewer students in April than in March.
a. Complete the table using the information provided.
Month Number of students
January
February
March
April
b. The dental nurse checked an equal number of
students in two of the months. How many students
were checked altogether in those two months?

104
35. Derik hammered a quarter of a 8-centimeter nail into
the wall.
a. What fraction of the nail is in the wall? Express
your answer as a decimal.
b. What length of the nail is left to be hammered
into the wall?
36. Jasmine’s puppy has a mass of 8.06 kilograms and
Kera’s puppy has a mass of 5.2 kilograms.
a. How much heavier is Jasmine’s puppy than
Kera’s puppy?
b. What is the total mass of the two puppies?

105
37. Kumar jogged 2.85 kilometers on Monday. He jogged
0.55 kilometers more on Tuesday than on Monday.
On Wednesday, he jogged 2.75 kilometers. If he
wanted to jog a total of 12 kilometers from Monday
to Thursday, how far must he jog on Thursday?
38. Use the given shape to make two different tessellations.
a. b.

106
39. The igure is made up of four identical squares and
a rectangle. The length of the rectangle is twice the
length of a square. The breadth of the rectangle is
equal to the length of a square.
a. What is the length of AB?
b. What is the perimeter of the igure?
A B? cm
6 cm

107
40. Tiles measuring 10 centimeters by 8 centimeters are
arranged as shown.
10 cm
8 cm
a. What is the perimeter of the igure?
b. What is the area of the igure

108
41. Arrange 16 identical circles to it exactly into a square.
How many circles are there on each side of the square?
42. A square piece of paper of side 14 centimeters has
four identical square corners cut out. What is the area of the
remaining paper?
2 cm
2 cm

109
Skills and Strategies Index
Mid-Year Test A
Skills Knowledge Comprehension Application
Whole Numbers
1 Number notation and place value Q1, Q16
2 Approximation and estimation Q2
3 Factors and multiples Q9, Q17 Q12, Q26, Q40 Q34
4 Patterns
5 multiplication by a number up to 2
digits
Q3, Q18
7 Word problems Q14, Q15, Q29,
Q37, Q39
Q41
sTATIsTICs
8 Tables and line graphs Q7, Q24 Q25, Q35
9 Coordinate geometry Q5, Q6, Q20,
Q21
FrACTIoNs
10 Addition and subtraction of fractions Q4 Q32
11 Fraction of a set Q8 Q13
12 mixed numbers and improper
fractions
Q27
Q36, Q38
GeomeTrY
14 Angles Q10, Q19 Q11
15 8-point compass Q28
16 Perpendicular and parallel lines Q22
17 Properties of a square and a
rectangle
Q23
Strategies Knowledge Comprehension Application
1 Draw a model Q37, Q39
2 Work backwards Q40
3 Draw a diagram Q41

110
Mid-Year Test B
Whole Numbers
1 Number notation and place value Q1, Q16, Q17 Q24 Q43
2 Approximation and estimation Q2, Q18
3 Factors and multiples Q4, Q5 Q25, Q26
4 Patterns Q20 Q32
digits
Q19
6 Division by a 1-digit number Q3
Q38, Q39
Q44
sTATIsTICs
8 Tables and line graphs Q27, Q28, Q29,
Q30, Q31, Q37,
Q40
9 Coordinate geometry Q6, Q7
FrACTIoNs
10 Addition and subtraction of fractions Q8, Q21
11 Fraction of a set Q13, Q35
fractions
Q9
13 Word problems Q11, Q41 Q42
GeomeTrY
14 Angles Q22 Q23
16 Perpendicular and parallel lines Q10, Q36
17 Properties of a square and a rectangle Q34
1 Draw a model Q38, Q39, Q41 Q42

111
Mid-Year Test C
Whole Numbers
1 Number notation and place value Q16, Q17, Q18
3 Factors and multiples Q9 Q10, Q25 Q40
4 Patterns Q26 Q31
digits
Q2, Q20
Q36, Q38
Q39
sTATIsTICs
8 Tables and line graphs Q19, Q23 Q14, Q15, Q24,
Q34
FrACTIoNs
10 Addition and subtraction of fractions Q5
fractions
Q6
Q35, Q37
GeomeTrY
14 Angles Q8, Q21 Q12
15 8-point compass Q22 Q28
16 Perpendicular and parallel lines Q7, Q32
17 Properties of a square and a rectangle
3 make a systematic list Q40

112
Mid-Year Test D
Whole Numbers
1 Number notation and place value Q1, Q16, Q17
2 Approximation and estimation Q2, Q20 Q12
3 Factors and multiples Q10, Q18 Q11, Q28 Q44
4 Patterns Q29, Q30
digits
Q3, Q21
6 Division by a 1-digit number Q23
7 Word problems Q13, Q34 Q43
sTATIsTICs
8 Tables and line graphs Q31, Q32, Q33,
Q38, Q42
FrACTIoNs
10 Addition and subtraction of fractions Q6, Q22
fractions
Q7, Q8
Q39, Q40, Q41
GeomeTrY
14 Angles Q9, Q19, Q36
15 8-point compass Q25 Q26, Q27
16 Perpendicular and parallel lines Q36
1 Draw a model Q39 Q43

113
End-of-Year Test E
Whole Numbers
1 Number notation and place value Q44
3 Factors and multiples Q1
4 Patterns Q39a
5 Word problems Q11 Q43
sTATIsTICs
6 Tables and line graphs Q9, Q25 Q10, Q26, Q27,
Q37
7 Coordinate geometry Q18, Q19 Q20
FrACTIoNs
8 Fraction of a set Q2
9 mixed numbers and improper fractions
10 Word problems Q36
GeomeTrY
11 Angles
13 symmetry Q5, Q17, Q21 Q22, Q32, Q33
14 Tessellations Q23, Q24 Q35
15 Patterns Q39b Q34
DeCImAls
17 Number notation and place value Q3 Q8
18 Conversion between decimals and
fractions
Q6
20 Four operations of decimals Q4, Q7
Q41
meAsuremeNTs
22 Time Q15, Q29, Q38
23 Area and perimeter Q12, Q31, Q40,
Q42
1 look for a pattern Q39a, Q39b
2 Draw a model Q41

114
End-of-Year Test F
Whole Numbers
3 Factors and multiples Q7
4 Patterns Q33
sTATIsTICs
6 Tables and line graphs Q20, Q21
FrACTIoNs
9 mixed numbers and improper fractions Q30
10 Word problems Q37, Q39
GeomeTrY
11 Angles Q28
12 8-point compass Q8 Q9
13 symmetry Q5, Q23 Q11, Q31
14 Tessellations Q17, Q18 Q34, Q35, Q38
15 Patterns Q32 Q15
DeCImAls
fractions
Q2, Q6
20 Four operations of decimals Q4, Q16 Q26
Q41
meAsuremeNTs
22 Time Q19 Q25, Q36
Q43

115
End-of-Year Test G
Whole Numbers
3 Factors and multiples Q1 Q26
4 Patterns
5 Word problems Q10, Q35, Q41 Q43
sTATIsTICs
6 Tables and line graphs Q8 Q9, Q36
FrACTIoNs
GeomeTrY
11 Angles Q22
13 symmetry Q5, Q25 Q29, Q30
14 Tessellations Q18, Q20 Q37
15 Patterns Q34
DeCImAls
17 Number notation and place value Q6, Q21, Q24 Q7
fractions
Q4
20 Four operations of decimals Q3
Q31
meAsuremeNTs
22 Time Q13, Q28, Q38
Q42
Strategy Knowledge Comprehension Application
1 Draw a model Q41 Q43

116
End-of-Year Test H
Whole Numbers
3 Factors and multiples Q7 Q24
4 Patterns Q25
5 Word problems
sTATIsTICs
6 Tables and line graphs Q23, Q34
FrACTIoNs
8 Fraction of a set Q13, Q26
10 Word problems Q35
GeomeTrY
11 Angles Q22
13 symmetry Q6, Q19, Q20 Q29
14 Tessellations Q4, Q18 Q33, Q38 Q41
15 Patterns Q31
DeCImAls
fractions
20 Four operations of decimals Q8, Q9, Q21
Q28, Q36, Q37
meAsuremeNTs
22 Time Q10, Q11, Q30
23 Area and perimeter Q15, Q39, Q40 Q42
Strategy Knowledge Comprehension Application

117
Answer Key
Mid-Year Test A
Section A
1. a 2. b 3. d 4. d
5. b 6. d 7. d 8. a
9. c 10. c 11. d 12. b
13. a 14. c 15. d
Section B
16. 300 17. 1, 2, 4, 8, 16
18. 10 000
19. 20.
R
55°
Q
P
21. (E, 2) 22. Line QT
23. WZ and XY or WX and ZY
24. 35 25. 10
26. 27 27. 16
28. 90
29.100 × 10 = 1000 30. 4
31. 12 32. 6 7
10
33. a. 41
2
b. 11
2
34. 12
Section C
35. a. Name English Mathematics
Joe 96 points 78 points
Sally 57 points 62 points
Tim 83 points 77 points
b. Joe had the best score in Mathematics.
c. Joe scored 78 points.
Sally scored 62 points.
78 − 62 = 16
Joe scored 16 points more than Sally.
d. Joe’s total score 96 + 78
= 174
Sally’s total score 57 + 62
= 119
Tim’s total score 83 + 77
= 160
Joe was the top scorer in the exam.
36. a.
3
5
× 25 = 15
He gives away 15 guppies.
b. 25 – 15 = 10
He has 10 guppies left.
Pawpaw
Pear
980 g
?
Mass of pear 980 ÷ 7
= 140
The mass of the pear is 140 grams.
b. 980 + 140 = 1120
The total mass of the two fruits is 1120 grams.
38. 1 – 1
3
= 2
3
2
3
× 360 = 240
240 passengers inally reached Penang.
Girls
Boys
Adults
34 740
?
?
Total units 1 + 9 + 5
= 15
15 units 34 740
1 unit 34 740 ÷15
= 2316

118
9 units 9 × 2316
= 20 844
There are 20 844 boys.
b. 5 units 5 × 2316
= 11 580
There are 11 580 adults.
40. a. Strategy: Work backwards
The number is divisible by 5 so the last digit must
be 5 or 0.
Put the other digits in the correct place.
9 1 8 1
The number could be 91 810 or 91 815.
b. The number is divisible by 10 so the last digit
must be 0.
The number is 91 810.
41. Strategy: Draw a diagram
5 m 5 m5 m5 m
80 m
Number of spaces 80 ÷ 5
= 16
Number of streetlights 16 + 1
= 17
They installed 17 streetlights along the road.
Mid-Year Test B
Section A
1. c 2. c 3. d 4. b
5. a 6. d 7. b 8. a
9. a 10. a 11. c 12. a
13. d 14. d 15. d
Section B
16. Sixty thousand, four hundred and twelve
17. 600 18. 3300
19. 9488 20. 6155, 6160, 6165
21. 15
8
22. 23. 270
B
70°
A
C
24. 19 930 25. 1, 3
26. 12, 24 27. strawberry
28. 10 29. 51
30. 4C 31. 119
32. 162 33. east
34. 35 35. 2
Section C
36. a. b.
A
C
B
D
X
E
F
H
Y
G
37. a. 30 students visited Africa.
b. The most popular destination was Asia.
c. 40 – 10 = 30
30 more students visited Asia than America.
271 271
16 bags
...
16 × 271 = 4336
Mrs Clark bought 4336 beads.
b.
Mrs Clark
Mrs Thomson
240
4336
?
4336 + 240 = 4576
Mrs Thomson had 4576 beads.
39. Strategy: Draw a model
8 8
2400
? cases
...
2400 ÷ 8 = 300
Nathan used 300 cases to pack all the coins.
12 12
300
? boxes
...
300 ÷ 12 = 25
Nathan used 25 boxes to pack all the cases
of coins.

119
40. a. 76 – 12 + 19 = 83
Timmy’s score for his History test was
83 points.
b. Test Score
Science 76 points
English 64 points
History 83 points
c. 76 + 64 + 83 = 223
His total score for the three subjects was
223 points.
230 – 223 = 7
He would need to score 7 more points in his
English test.
King’s Cross
Hanslow
Heathrow
644
?
4 units 644
1 unit 644 ÷ 4
= 161
3 units 3 × 161
= 483
483 passengers were on the train at
Heathrow Station.
dress cushion 70 m left
?
7 units 70
1 unit 70 ÷ 7
= 10
12 units 12 × 10
= 120
The original length of the piece of fabric was
120 meters.
43. Strategy: Work backwards
The number is greater than 5000 and the thousands
digit is a multiple of 4, so the thousands digit must
be 8. The tens digit is also 8.
Since the sum of the digits in the ones and hundreds
place is 9 and the ones digit is greater than the
hundreds digit, the possible four-digit numbers are:
Thousands Hundreds Tens Ones
8 0 8 9
8 1 8 8
8 2 8 7
8 3 8 6
8 4 8 5
Only 8188 is divisible by 4.
The four-digit number is 8188.
200 m
? ?
51 trees
From the diagram,
there is 1 space between 2 trees,
there are 2 spaces between 3 trees,
there are 3 spaces between 4 trees, and so on.
51 – 1 = 50
There are 50 spaces between 51 trees.
200 ÷ 50 = 4
The distance between every two trees is 4 meters.
Mid-Year Test C
Section A
1. d 2. d 3. b 4. d
5. d 6. a 7. c 8. a
9. d 10. b 11. a 12. c
13. c 14. b 15. a
Section B
16. Ninety-eight thousand, six hundred and ive
17. 1000
18. 58 017, 51 087, 47 108, 41 708
19. Jaipur 20. 28 406
21. a. 50 b. 130
22. a. 3 b. 15
23. Week 2 24. Week 3
25. 1, 7 26. 46, 55
27. 8864 28. south-west
29. 1200 30. 3
8

120
31. = 2, = 4, = 6, or
= 6, = 4, = 2
Section C
32.
Q
S
T
33. a. 31
4
+ 31
4
= 62
4
= 61
2
The total mass of the two wrenches was
61
2
kilograms.
b. 20 – 61
2
= 131
2
The mass of the tool kit in the end was
131
2
kilograms.
34. a. Name Ants Ladybugs Crickets
David 50 16 25
John 0 16 28
Susy 65 28 17
b. 16 +16 + 28 = 60
25 + 28 + 17 = 70
70 – 60 = 10
They collected 10 more crickets than ladybugs.
35. a. 1 – 5
9
= 4
9
4
9
of the apple trees are not lowering.
b. 4
9
× 45 = 20
20 apple trees are not lowering.
25 25
12 boxes
...
12 × 25 = 300
Blinky had 300 lowers altogether.
b. 300 ÷ 9 = 33 R3
3 lowers were left over.
37. a. 11
2
+ 22
5
= 3
5
10
+
4
10
= 3
9
10
Janice made 3 9
10
liters of the drink.
b. 3
9
10
– 11
5
= 2
9
10
–
2
10
= 2
7
10
2
7
10
liters of the drink were left over in
the end.
a.
Ofice A
Ofice B
Ofice C
2400
3500
26 700
?
26 700 – 2400 = 24 300
24 300 tiles were used for Ofice B.
b. 24 300 + 3500 = 27 800
27 800 tiles were used for Ofice C.
26 700 + 24 300 + 27 800 = 78 800
78 800 tiles were used altogether.
611 2 3
??30 m
3570 m
}
}
...
From the diagram,
there is 1 space between 2 houses,
there are 2 spaces between 3 houses,
there are 3 spaces between 4 houses, and so on.
61 – 1 = 60
There are 60 spaces between 61 houses.
61 × 30 = 1830
3570 – 1830 =1740
1740 ÷ 60 = 29
The distance between every two houses is
29 meters.

121
40. Strategy: Make a systematic list
Multiples of 6 between 80 and 100 are 84, 90,
and 96 .
Multiples of 8 between 80 and 100 are 80, 88,
and 96 .
I am 96.
Mid-Year Test D
Section A
1. b 2. b 3. c 4. b
5. a 6. d 7. d 8. a
9. b 10. b 11. d 12. b
13. c 14. d 15. a
Section B
16. 67 909 17. 37 008
18. 2, 4, 20 19. 65
20. 3700 21. 11 628
22. 1
3
10
23. 1582
24.
A B
C
135°
25. Point D
26. 2 steps south and 3 steps west
Or 3 steps west and 2 steps south
27. north 28. 24, 48
29. 21 060, 21 080 30. 36
31. 50 32. 8
33. 10 34. 14
35. 5
Section C
36. a. and b.
A
37. a. 40 – 12 = 28
28 birds are not sparrows.
b.
28
40
=
7
10
7
10
of the birds are not sparrows.
38. a. Town Number of residents
X 23 500
Y 63 450
Z 15 701
b. 63 450 – 15 701 = 47 749
There are 47 749 more residents in Town Y
than in Town Z.
?
32
8 units 32
1 unit 32 ÷ 8
= 4
5 units 5 × 4
= 20
20 students wear green jerseys.
40. a. 11
2
+ 1
2
= 2
Shelly takes 2 hours to complete 1 bird house.
b. 15 × 2 = 30
Shelly will take 30 hours to complete 15 bird
houses.
41. 1 – 1
8
= 7
8
7
8
× 5 =
35
8
= 43
8
She had 43
8
kilograms of butter after baking scones.
43
8
+ 1
2
= 43
8
+ 4
8
= 47
8
She had 47
8
kilograms of butter in the end.

122
42. a. 800 – 500 = 300
The decrease was 300 people. There was a
decrease in the number of people who owned
the Ringping between 2010 and 2012.
b. The Ringping was probably irst introduced in
2004.
Boys
Girls
372
300
?
300 + 372 = 672
300 + 672 = 972
972 students were on the ield trip altogether.
b. 972 ÷ 40 = 24 R12
25 buses were needed to bring all the students
back to school.
Multiples of 4 between 10 and 50 are 12, 16, 20 ,
24, 28, 32, 36, 40 , 44, and 48.
Multiples of 5 between 10 and 50 are 10, 15, 20 ,
25, 30, 35, 40 , 45, and 50.
Possible numbers Sum of digits Check
20 2 7
40 4 3
The number is 40.
End-of-Year Test E
Section A
1. c 2. b 3. d 4. b
5. a 6. d 7. d 8. b
9. c 10. d 11. c 12. b
13. d 14. b 15. b
Section B
16. 11 17. A and B
18. Point X 19. (E, 1)
20. Point V
21. a. No b. No
22.
A B
23. 24. Yes
25. Monday 26. 1146
27. 206 28. 1000
29. 12 20 30. 58.75
31. 40
32.
A
B
33. 34.
Section C
35.
36. a. 1 – 1
4
= 3
4
3
4
× 12 = 9
9 liters of grape juice were left in the barrel.
b. 9 + 2
3
10
= 11
3
10

123
11 3
10
liters of grape juice were in the
barrel inally.
37. a. Carl won the race.
b. 15 – 6 = 9
Min took 9 seconds longer to complete the
race than Joe.
38. a. The clock showed 3.45.
10 minutes after 3.45 is 3.55.
The game started at 3.55.
b.
15 55 16 55
1 h 15 min
17 10
The game would end at 17 10.
39. a. Strategy: Look for a pattern
Add multiples of 8, starting from 8, to get the
next number in the pattern.
82 + 8 = 90
90 + 16 = 106
106 + 24 = 130
130 + 32 = 162
162 + 40 = 202
The next two numbers are 162 and 202.
b. Strategy: Look for a pattern
The pattern repeats after every 4 shapes.
The third set of pattern starts with the 9th shape.
Hence the 10th shape is the same as the
2nd shape.
The 10th shape is .
40. 20 m
12 m
15 m
B
A
9 m
Area of A 15 × 12
= 180
20 – 12 = 8
15 – 9 = 6
Area of B 8 × 6
= 48
180 + 48 = 228
The area of the deck is 228 square meters.
Jack
Kate
Sam
1.63 m
0.25 m
?
2 units 1.63 + 0.25
= 1.88
1 unit 1.88 ÷ 2
= 0.94
Sam is 0.94 meter tall.
42. a. 8 × 8 = 64
The length of the pond is 8 meters.
b. Method 1:
15 – 8 = 7
12 – 8 = 4
7 + 12 + 15 + 4 + 8 + 8 = 54
The perimeter of his garden is 54 meters.
Method 2:
By extending the lines outwards in the direction
of the arrows, the perimeter of the garden is the
same as the perimeter of rectangle measuring
15 meters by 12 meters.
15 + 15 + 12 + 12 = 54
The perimeter of his garden is 54 meters.
Multiples of 3: 3, 6, 9, 12, 15, 18
+2: 5 , 8, 11, 14, 17 , 20
Multiples of 4: 4, 8, 12, 16, 20, 24
–3: 1, 5 , 9, 13, 17 , 21
Grandpa had 5 or 17 inger puppets. If he had
5 inger puppets, he could only give 1 grandchild
3 inger puppets with 2 inger puppets left. He was
able to give 3 inger puppets to each of his

124
grandchildren so he should have more than 5 inger
puppets. So, Grandpa had 17 inger puppets.
44. Strategy: Work backwards
An even number has the digit 0, 2, 4, 6, or 8 in the
ones place.
The hundreds digit is 3 times the ones digit so the
ones digit must be 2.
3 × 2 = 6
The hundreds digit is 6.
6 + 2 = 8
The tens digit is 8.
To be divisible by 5, the thousands digit must be 5.
I am 5682.
End-of-Year Test F
Section A
1. b 2. b 3. c 4. c
5. d 6. b 7. b 8. d
9. b 10. a 11. a 12. c
13. d 14. a 15. d
Section B
16. 22.55 17.
18. No 19. 3.45 p.m.
20.
Days Monday Tuesday Wednesday Thursday Friday
Number
of books
sold
20 16 20 40 28
21. Monday and Wednesday
22. 2.7 23. Yes
24. a. 200 b. 900
25. 22 30 26. 2.61
27. 3768 28. 150
29. 77 30. 3
31. A
B
32. 33. A = 14, B = 13
34.
Section C
35. a. and b.
36.
16 15 17 15
1 h 30 min
17 45
He woke up at 17 45.
6?
1 unit 6
3 units 3 × 6
= 18
She gave Charlie 18 stickers.
38. a. b.
39. a. 21
5
= 2.2
2.2 – 1.5 = 0.7

125
Jug A has 0.7 liter more orange juice than
Jug B.
b. 2.2 + 1.5 = 3.7
The total amount of orange juice in the two jugs
is 3.7 liters.
40. 7 × 7 = 49
7 × 4 = 28
He would need 28 meters of fencing.
Mrs Ho
Mrs Chan
Mrs Li
6.28 kg
?
4 units 6.28
1 unit 6.28 ÷ 4
= 1.57
2 units 2 × 1.57
= 3.14
Mrs Ho bought 3.14 kilograms of carrots.
42. 12 × 12 = 144
Length of picture 12 – 2 – 2
= 8
Breadth of picture 12 – 3 – 3
= 6
Area of picture 8 × 6
= 36
The area of the picture is 48 square meters.
43. a. 4 + 5 + 4 = 13
10 + 13 + 10 + 13 + 4 + 4 = 54
The perimeter of the igure is 54 centimeters.
b.
A B C
Area of A 10 × 4
= 40
10 – 4 = 6
Area of B 5 × 6
= 30
40 + 30 + 40 = 110
The area of the igure is 110 square
centimeters.
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40
+ 4: 9, 14, 19, 24, 29 , 34, 39, 44
Multiples of 7: 7, 14, 21, 28, 35
– 6: 1, 8, 15, 22, 29
The baker has 29 mufins.
End-of-Year Test G
Section A
1. c 2. a 3. b 4. d
5. c 6. a 7. c 8. c
9. c 10. c 11. c 12. c
13. a 14. a 15. d
Section B
16. 8400 17. hundreds
18. No 19.
22
9
20.
21.
22. 4 23. 37
24. 18.63 s, 18.70 s, 18.74 s, 18.81 s, 18.84 s
25. Yes 26. 1, 2
27. 28. 1 h 15 min
29.
C
D

126
30. 31. 270
32. 4 33. north-east
34. 35. 29
Section C
36. a. Beck collected the most bottle caps.
b. 251 – 125 = 126
Cindy collected 126 fewer bottle caps
than Ali.
c. 251 + 326 + 125 = 702
The three children collected 702 bottles caps
altogether.
37. a. b.
38. a.
17 50 18 50
1 h 30 min
19 20
The lesson ended at 19 20.
b. 10 minutes after 19 20 is 19 30.
The watch would show 19 30.
39. a. 3
5
× 60 = 36
1
4
× 60 = 15
36 + 15 = 51
There were 51 wholegrain and rolled biscuits.
b. 60 – 51 = 9
There were 9 cheese biscuits.
40. a.
10 cm
12 cm
5 cm
2 cmB
A
4 cm 10 cm
Length 10 + 4
= 14
Breadth 12 + 2
= 14
Area of square 14 × 14
= 196
Length of A 14 – 10
= 4
Area of A 4 × 4
= 16
Area of B 5 × 2
= 10
Area of the igure 196 – 16 – 10
= 170
The area of the igure is
170 square centimeters.
b. 4 × 14 = 56
a.
Adults
Children
?
3275
6275
2 units 6275 – 3275
= 3000
1 unit 3000 ÷ 2
= 1500
1500 + 3275 = 4775
There are 4775 adults at the stadium.
b.
Male
Female
?
775
4775

127
2 units 4775 – 775
= 4000
1 unit 4000 ÷ 2
= 2000
There are 2000 male adults at the stadium.
42. Area of photo frame 15 × 10
= 150
Length of photograph 15 – 2 – 2
= 11
Breadth of photograph 10 – 2 – 2
= 6
Area of photograph 11 × 6
= 66
Area of border 150 – 66
= 84
The area of the border is 84 square centimeters.
Group B
Group A
315 ?
419
2 units 419 – 315
= 104
1 unit 104 ÷ 2
= 52
52 children must be moved from Group B to A so
that the two groups have an equal of children.
End-of-Year Test H
Section A
1. d 2. a 3. d 4. b
5. b 6. c 7. d 8. a
9. c 10. c 11. b 12. c
13. b 14. c 15. c
Section B
16. Lily, James, Rosa, Rafael
17. 43
8
18.
19. No 20. Yes
21. 2.24 22.
A B
C
45°
23. a. Name Score
Tara 60
Zoe 66
May 77
b. May c. 14
24. 18, 36 25. 7144, 7150, 7156
26.
7
15
27. 10
28. 280
29. A
B
30. 18 45
31.
32. a. 2 steps to the north and 5 steps to the east
Or
5 steps to the east and 2 steps to the north
b. 4 steps to the south and 3 steps to the east
Or
3 steps to the east and 4 steps to the south
Section C
33.

128
34. a. Month Number of students
January 68
February 51
March 66
April 51
b. 51 + 51 = 102
102 students were checked altogether in those
two months.
35. a. 1
4
= 0.25
0.25 of the nail is in the wall.
b. 1
4
× 8 = 2
8 – 2 = 6
6 centimeters of the nail are left to be
hammered into the wall.
36. a. 8.06 – 5.2 = 2.86
Jasmine’s puppy is 2.86 kilograms heavier
than Kera’s puppy.
b. 8.06 + 5.2 = 13.26
The total mass of the two puppies is
13.26 kilograms.
37. 2.85 + 0.55 = 3.4
2.85 + 3.4 + 2.75 = 9
12 – 9 = 3
Kumar must jog 3 kilometers on Thursday.
38. a.
b.
39. a. The length of square is 6 cm.
Length of AB 3 × 6
= 18
The length of AB is 18 centimeters.
b. Perimeter 14 × 6
= 84
The perimeter of the igure is
84 centimeters.
40. 6 × 10 = 60
8 × 8 = 64
60 + 64 = 124
b. 10 × 8 = 80
80 × 6 = 480
The area of the igure is
There are 4 circles on each side of the square.
42. Area of original piece of paper 14 × 14 = 196
Area of one cut corner 2 × 2 = 4
Area of four cut corners 4 × 4 = 16
Area of remaining paper 196 – 16
= 180
The area of the remaining paper is

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