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

[email protected]

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 KeyMid-Year Test A

Section A1. 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 B16. 300 17. 1, 2, 4, 8, 1618. 10 00019. 20.

R

55°

Q

P

21. (E, 2) 22. Line QT23. WZ and XY or WX and ZY24. 35 25. 1026. 27 27. 1628. 90 29.100 × 10 = 1000 30. 431. 12 32. 6 7

10

33. a. 4 12

b. 11234. 12

Section C

35. a. Name English Mathematics

Joe 96 points 78 pointsSally 57 points 62 pointsTim 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 – 13

= 23

23

× 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 valueQ1, Q16

2 Approximation and estimationQ2

3 Factors and multiples

Q9, Q17Q12, Q26, Q40 Q34

4 Patterns5 Multiplication by a number up to 2

digits

Q3, Q18

6 Division by a 1-digit number7 Word problems

Q14, Q15, Q29, Q37, Q39 Q41

STATISTICS8 Tables and line graphs

Q7, Q24Q25, Q35

9 Coordinate geometry

Q5, Q6, Q20, Q21

FRACTIONS10 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

GEOMETRY14 Angles

Q10, Q19Q11

15 8-point compass

Q28

16 Perpendicular and parallel linesQ22

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 34 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 TestedTest

PapersPages Score

1. Number Notation and Place Values Up to 100 000 2. Approximation and Estimation3. Factors and Multiples4. Number Patterns5. Multiplication and Division6. Tables and Line Graphs7. Coordinate Geometry8. Addition and Subtraction of Fractions9. Fraction of a Set10. Mixed Numbers and Improper Fractions11. Angles and 8-Point Compass12. Perpendicular and Parallel Lines13. 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 TestedTest

PapersPages Score

1. Number Notation and Place Values Up to 100 000 2. Approximation and Estimation3. Factors and Multiples4. Multiplication and Division5. Tables and Line Graphs6. Coordinate Geometry7. Fractions8. Angles and 8-Point Compass9. Perpendicular and Parallel Lines10. Properties of a Square and a Rectangle11. Decimals12. Time: Seconds and the 24-hour Clock13. Area and Perimeter14. Symmetry15. Tessellations16. Patterns

Test E 55–68

50

Test F 69–82

50

Test G 83–94

50

Test H 95–108

50

End-o

f-Y

ear

Skills and Strategies Index ................................................................................. pages 109–116Answer 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

01 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 111

2 kilograms?

a. Rate B b. Rate C c. Rate D d. Rate E ( )

8. Which number sentence is true?

a. 9 × 19 =1

b. 1

5 × 5 = 5

c. 3 × 13 = 3

d. 1 × 77 = 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 × 14 =

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


8

7

6

5

4

3

2

1

0A 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

0Mon Tue Wed Thu Fri

��

Tem

pera

ture

(°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 22

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 11

2 kilograms of cake lour and

21

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. 35 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 34 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

��

For questions 35 to 41, each answer carries 1 point. 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 scoresEnglish: 96 pointsMathematics: 78 points

Sally’s scoresEnglish: 57 pointsMathematics: 62 points

Tim’s scoresEnglish: 83 pointsMathematics: 77 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 35 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 13 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 ( )

5. Which pair of numbers are factors of 56?

a. 7, 8 b. 4, 12 c. 9, 6 d. 5, 11 ( )

Use the grid to answer questions 6and 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

01 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 12 ?

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, 34 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 – 38 =

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

CAns: °

35. 21

2 × 1

5 = A × 1

5 + 1

2 × 1

5

What is the value of A?

Ans:


25

Section C

For questions 36 to 44, each answer carries 1 point. Write your answer in the space provided. 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

Num

ber

of

students

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 14 of a piece of fabric to sew a dress.

She then used 16 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 ( )

Use the grid to answer questions 3and 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. 2 1

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 questions7 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

�� !"# $


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 answer questions 14 and 15.

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.

ab

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 3 3

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

Num

ber

of

mounta

in b

ikes

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 34 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: =

=

=

%&'()*+ ,


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

3 1

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.

SusyAnts — 65Ladybugs — 28Crickets — 17

JohnLadybugs — 16Crickets — 28

DavidAnts — 50Ladybugs — 16Crickets — 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. 59 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 ( )


8

7

6

5

4

3

2

1

10

53 72

W

Y

Z

V

X

64 8

4. Which point is located at (4, 2)? 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 18 3

4

B 17 9

10

C 18 1

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 ( )


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 12 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. 35 + 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


F

BE

G

H

A

C1 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


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, 14 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 12 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 18 of it

to bake scones. She then bought another 12 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

Num

ber

of

people

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. 2 1

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 AprNum

ber

of

cars

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 L3.94 L

a. 0.06 L b. 0.60 L c. 0.96 L d. 1.06 L ( )


57

Section B


16. 2 3

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

A0

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?

HappyBirthday

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


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. 14 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 mGarden

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 14?

a. 0.20 b. 0.25 c. 0.45 d. 0.50 ( )


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

-./0123 4


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 byFamous 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

Num

ber

of

book

s

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? Give your answer using the 24-hour clock.

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

xy

B

D

C

58°

Ans: °


76

30. 3 3

4 × 1

2 = P × 1

2 + 3

4 × 1

2

What is the value of P?

Ans:


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

56789:; <


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 34 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 14 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 answer questions 8 and 9.

100150

200

0

50

Mar MayApr Jun JulNum

ber

of

students 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

=>?@ABC D


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 35 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

EFGHIJK L


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? 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?


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



10

9

8

7

6

5

4

3

2

1

01 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) ( )

2. Which point is located at (3, 7)? 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 ( )


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 + 12 = 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 secondsRosa 30.64 secondsLily 30.33 secondsRafael 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: 3050

Score: 77

100Score:

66100


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: kg28. Steve works 7.35 hours a day at a fast food restaurant. About how many hours does he work in 42 days?

Ans: h


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

NC

B

G

A

H1 step

1 step

a. From Point A to Point D Ans:

b. From Point F to Point B

Ans:


102

Section C


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 IndexMid-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

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


GeomeTrY

14 Angles Q10, Q19 Q11

15 8-point compass Q28

16 Perpendicular and parallel lines Q22


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


Q19

6 Division by a 1-digit number Q3


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


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


Q2, Q20

6 Division by a 1-digit number


Q39

sTATIsTICs

8 Tables and line graphs Q19, Q23 Q14, Q15, Q24, Q34


FrACTIoNs

10 Addition and subtraction of fractions Q5



Q6


GeomeTrY

14 Angles Q8, Q21 Q12

15 8-point compass Q22 Q28

16 Perpendicular and parallel lines Q7, Q32





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


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



Q7, Q8

13 Word problems Q14, Q15, Q37, 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

2 Approximation and estimation

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


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

21 Word problems Q13, Q28, Q30, 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



Q2, Q6


20 Four operations of decimals Q4, Q16 Q26


meAsuremeNTs

22 Time Q19 Q25, Q36






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


Q4


20 Four operations of decimals Q3


meAsuremeNTs

22 Time Q13, Q28, Q38


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




20 Four operations of decimals Q8, Q9, Q21

21 Word problems Q12, Q14, Q27, 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 A1. 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 B16. 300 17. 1, 2, 4, 8, 1618. 10 00019. 20.

R

55°

Q

P

21. (E, 2) 22. Line QT

23. WZ and XY or WX and ZY

24. 35 25. 1026. 27 27. 1628. 90 29.100 × 10 = 1000 30. 4

31. 12 32. 6 710

33. a. 4 12 b. 11

234. 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 – 13 = 2

3

23 × 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 A1. c 2. c 3. d 4. b 5. a 6. d 7. b 8. a9. a 10. a 11. c 12. a13. d 14. d 15. d

Section B16. Sixty thousand, four hundred and twelve17. 600 18. 330019. 9488 20. 6155, 6160, 6165

21. 158

22. 23. 270

B

70°

A

C

24. 19 930 25. 1, 326. 12, 24 27. strawberry28. 10 29. 5130. 4C 31. 11932. 162 33. east34. 35 35. 2

Section C36. a. b.

A

C

B

DX

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. 44. Strategy: Draw a diagram

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 A1. d 2. d 3. b 4. d5. d 6. a 7. c 8. a9. d 10. b 11. a 12. c13. c 14. b 15. a

Section B16. Ninety-eight thousand, six hundred and ive17. 100018. 58 017, 51 087, 47 108, 41 70819. Jaipur 20. 28 406 21. a. 50 b. 13022. a. 3 b. 1523. Week 2 24. Week 325. 1, 7 26. 46, 5527. 8864 28. south-west

29. 1200 30. 38


120

31. = 2, = 4, = 6, or

= 6, = 4, = 2

Section C32.

Q

S

T

33. a. 314 + 31

4 = 62

4

= 612

The total mass of the two wrenches was

612 kilograms.

b. 20 – 612 = 131

2 The mass of the tool kit in the end was

1312 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 – 59 = 4

9

49 of the apple trees are not lowering.

b. 49 × 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. 112 + 22

5 = 3 5

10 + 4

10

= 3 910

Janice made 3 910

liters of the drink.

b. 3 910

– 115 = 2 9

10 – 2

10

= 2 710

2 710

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 A1. b 2. b 3. c 4. b5. a 6. d 7. d 8. a9. b 10. b 11. d 12. b13. c 14. d 15. a

Section B16. 67 909 17. 37 00818. 2, 4, 20 19. 6520. 3700 21. 11 628

22. 1 310

23. 1582

24.

A B

C

135°

25. Point D26. 2 steps south and 3 steps west Or 3 steps west and 2 steps south27. north 28. 24, 48 29. 21 060, 21 080 30. 3631. 50 32. 833. 10 34. 1435. 5

Section C

36. a. and b.

A

37. a. 40 – 12 = 28 28 birds are not sparrows.

b. 2840

= 710

710

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. 112 + 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 – 18 = 7

8

78 × 5 =

358

= 4 38

She had 4 38

kilograms of butter after baking scones.

4 38 + 1

2 = 4 3

8 + 4

8

= 4 78

She had 4 78 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.

44. Strategy: Make a systematic list

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 2 740 4 3

The number is 40.

End-of-Year Test E

Section A1. c 2. b 3. d 4. b5. a 6. d 7. d 8. b9. c 10. d 11. c 12. b13. d 14. b 15. b

Section B16. 11 17. A and B18. Point X 19. (E, 1)20. Point V21. a. No b. No

22.

A B

23. 24. Yes

25. Monday 26. 114627. 206 28. 100029. 12 20 30. 58.7531. 40 32.

A

B

33. 34.

Section C35.

36. a. 1 – 14 = 3

4

34 × 12 = 9

9 liters of grape juice were left in the barrel.

b. 9 + 2 310

= 11 310


123

11 310

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

A9 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.

43. Strategy: Make a systematic list 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 A1. b 2. b 3. c 4. c5. d 6. b 7. b 8. d9. b 10. a 11. a 12. c13. d 14. a 15. d

Section B16. 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 Wednesday22. 2.7 23. Yes24. a. 200 b. 90025. 22 30 26. 2.6127. 3768 28. 15029. 77 30. 331.

A

B

32. 33. A = 14, B = 13

34.

Section C35. 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. 215 = 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.

44. Strategy: Make a systematic list

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 A1. c 2. a 3. b 4. d5. c 6. a 7. c 8. c9. c 10. c 11. c 12. c13. a 14. a 15. d

Section B16. 8400 17. hundreds

18. No 19. 229

20.

21.

22. 4 23. 3724. 18.63 s, 18.70 s, 18.74 s, 18.81 s, 18.84 s25. Yes 26. 1, 227. 28. 1 h 15 min

29.

C

D


126

30. 31. 270

32. 4 33. north-east34. 35. 29

Section C36. 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. 35 × 60 = 36

14 × 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 The perimeter of the igure is 56 centimeters.


a.

Adults

Children

?

32756275

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 A1. d 2. a 3. d 4. b5. b 6. c 7. d 8. a9. c 10. c 11. b 12. c13. b 14. c 15. c

Section B16. Lily, James, Rosa, Rafael

17. 438 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. 1424. 18, 36 25. 7144, 7150, 7156

26. 715

27. 10

28. 280

29.

A

B

30. 18 4531.

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 C33.


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. 14 = 0.25

0.25 of the nail is in the wall.

b. 14 × 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

The perimeter of the igure is 124 centimeters.

b. 10 × 8 = 80 80 × 6 = 480

The area of the igure is 480 square centimeters.


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 180 square centimeters.
