Outreach p4-math

Primary 4 Mathematics Ace the Exam with

My 24/7 Personal Tutor

Detailed Explanation of ALL Questions by Tutor in Virtual Classroom

Consulting Editor: Dr Zhang Yong

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© Outreach Edusys Pte Ltd ALL RIGHTS RESERVED. No part of this book and the accompanying CDROM may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, CD duplication, replication, or by any information storage and retrieval system, without permission in writing from the Publisher. First Published 2010 ISBN: 978-981-4275-15-6 Published by: Outreach Edusys Pte Ltd Distributed by: Outreach System Pte Ltd 20 Shaw Road, #07-03 Singapore 367956 Tel: +65 91162024 Fax: +65 31507345 email: book.orlesson.org Website: http://www.orlesson.org Please check URL regularly for new releases and promotions. Sample chapter and lesson for each title can be downloaded from above URL. Purchase online or call/SMS 9116-2024 today. FREE home delivery (one location within Singapore) for purchases above S$60/=.

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Preface This book is written to assist pupils in preparing for the Primary 4 Mathematics examinations. There are a total of 10 specially crafted examination style papers. The main features of the papers are as follows.

1. Questions are modelled after examination papers set by top well known Singapore schools.

2. Questions are crafted to highlight common misconceptions in each of

the topics. This book comes with a multimedia CDROM. The CDROM contains detailed explanations of every question in each of the papers by our teacher. These lessons ensure pupils understand the methods that are used to solve each of the questions Outreach Book Alive series brings the “tuition teacher” to you at zero cost. You may also want to try our online programme. These are interactive “diagnostic” modules consisting of multiple choice questions. The incorrect options to each question are carefully crafted based on specific misconception in learners. If your child submit a wrong answer, our system will dynamically diagnose your child’s problem and provide an explanation on why the answer is wrong, and what is the correct way to solve such questions. Visit http://www.orlesson.org today.

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Contents

Semestral Assessment 1 Paper 1 1 Semestral Assessment 1 Paper 2 16 Semestral Assessment 1 Paper 3 30 Semestral Assessment 1 Paper 4 45 Semestral Assessment 1 Paper 5 57 Semestral Assessment 2 Paper 1 70 Semestral Assessment 2 Paper 2 82 Semestral Assessment 2 Paper 3 94 Semestral Assessment 2 Paper 4 108 Semestral Assessment 2 Paper 5 121 Suggested Answers 135 Free Past Year School Exam Papers (from 2004 onwards) for download and print. Visit http://www.orlesson.org for links and download instructions. Subscribe to Outreach Lesson Online Access for hundreds of hours of lessons, and thousands of questions. Less than 70 cents a days for unlimited access to ALL subjects. For details, visit http://www.orlesson.org.

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Semestral Assessment 1 – Mock Paper 1

Duration: 1 hr 45 min

Questions 1 to 10 carry 1 mark each and Questions 11 to 15 carry 2 marks each. For each question, write the number corresponding to the correct option in the bracket provided. 1. Which of the following is not an equivalent fraction of

52 ?

(1) 104 (2)

156

(3) 2010 (4)

3012

( ) 2. 59 074 = 50 000 + + 70 + 4. (1) 9 (2) 90 (3) 900 (4) 9000 ( )

3. What is the missing number? 4?

826 =

(1) 1 (2) 4 (3) 25 (4) 50 ( ) 4. What is the maximum number of 3-digit numbers that can be formed

using the digits 3, 5, and 7? (1) 1 (2) 2 (3) 3 (4) 6 ( ) 5. The sum of the two numbers is 6470. The larger number is 580 more

than the smaller number. What is the larger number? (1) 2945 (2) 3525 (3) 5890 (4) 7050 ( )

Marks

2

6. What is the highest common factor of 40 and 72? (1) 4 (2) 5 (3) 8 (4) 12 ( ) 7. Find the product of 8 tens and 80 ones. (1) 160 (2) 640 (3) 6400 (4) 8080 ( ) 8. Elaine has $4800 when rounded off to the nearest hundred. What is the

greatest possible amount of money she has? (1) $4870 (2) $4849 (3) $4749 (4) $4707 ( ) 9. A square has a perimeter of 32 m. What is its area? (1) 8 m2 (2) 16 m2

(3) 32 m2 (4) 64 m2 ( ) 10. Find ‹x in the figure below.

(1) 330 (2) 570 (3) 670 (4) 1230 ( ) 11. Emily and Jason save $5638 together every month. Jason saves $838

more than Emily. How much will Jason save in a year? (1) $38 856 (2) $57 600 (3) $67 656 (4) $77 712 ( )

3

12. Emmy ate

31 of a cake and James ate

61 of the remainder. What fraction

of the cake did they eat altogether?

(1) 21 (2) 9

1

(3) 92 (4)

94

( ) 13. If + + = 82

+ = 47 + = 64

Find – . (1) 17 (2) 18 (3) 35 (4) 53 ( ) 14. Jane started walking to school at 9:30 a.m. When she reached school,

she noticed that the minute hand of her watch had moved 1800 clockwise. What time did she reach school?

(1) 10.30 a.m. (2) 10.00 a.m. (3) 9.00 a.m. (4) 8.30 a.m. ( ) 15. There were 420 people at the movie.

72 of them were men and the rest

were women. How many more women than men were there at the movie? (1) 60 (2) 120 (3) 180 (4) 300 ( ) Questions 16 to 35 carry 2 marks each. Write your answers in the spaces provided. For questions which require units, give your answers in the units stated. 16. Write fourteen thousand and seventy five in figures.

4

17. Find the remainder of 8096 ÷7.

Ans: _____________________ 18. Subtract 389 from 2247. Round off the answer to the nearest tens.

Ans: _____________________ 19. Use all the digits 3, 5, 0, 8 to form the smallest 4-digit number that is

divisible by 5.

Ans: _____________________

5

20. What is the value of X in the number line below?

Ans: _____________________ 21. Arrange the following fractions from the smallest to the greatest.

21,

125,

53,

94

22. What is the smallest even number that leaves a remainder of 4 when divided by 7?

Ans: _____________________

6

23. When the minute hand of a clock moves from 8.30 a.m. to 9.15 a.m., how many degrees has it moved?

Ans: _____________________ 24.

43

56

1211

++ = _________.

Express the answer as a mixed number.

Ans: _____________________ 25. The sum of 3 numbers is 125. If one of the numbers is changed from 46

to 29, what will be the sum of the new set of numbers?

Ans: _____________________

7

26. Katie and Daniel saved $400. Katie saved $60 more than Daniel. How much money did Katie save?

Ans: _____________________ 27. Mary ate

41 of a pizza and Tom ate

61 more than Mary. What fraction of

pizza did they eat altogether?

Ans: _____________________ 28. Mr. Lee bought plane tickets for himself and his four children for a

flight to Japan. He paid a total of $3850. If his adult ticket cost $950, how much did each child ticket cost?

Ans: _____________________

8

29. Find the value of A and B. 4 A A + A 6 B B 3

Ans: _____________________ 30. I am a 2-digit number. I am greater than 60 and smaller than 80. I am

divisible by 7 and 9. What number am I?

Ans: _____________________ 31. Brian jogged

54 km. John jogged

41 km more than Brian. Rachel jogged

21

km more than John. How far did they jog altogether?

Ans: _____________________

9

32. Sabrina was at X and facing the school. She then turned 450 anti-

clockwise and made a 43 turn clockwise. Where is she facing now?

Ans: _____________________ 33. If a factory produces 689 toys each day, how many toys does it produce

in 3 weeks?

Ans: _____________________

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34. ABCD is a square of sides 22 cm. E, F, G, H are the mid-points of each side of the square ABCD. Find the area of EFGH.

Ans: _____________________ 35. Eight teams are taking part in a football tournament. Each team played

against every other team once. How many games are played altogether?

Ans: _____________________

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Questions 36 to 45 carry 4 marks each. Show your working clearly in the space below each question and write your answers in the spaces provided. 36.

Leona bought one dress, one skirt and one T-shirt. The T-shirt cost $15. The skirt cost $17 more than the T-shirt. The dress cost twice as much as the T-shirt. How much did she spend on the three items?

Ans: _____________________ 37. Jessie had $1400. If she bought 12 books at $32 each and 24 magazines

at $13 each, how much had she left?

Ans: _____________________

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38. Andy gave 83 of his stamps to his sister and

41 of them to his friends. He

had 720 stamps left. How many stamps did Andy have at first?

Ans: _____________________ 39. Mrs. Lee had 30 boxes of cookies which contain 140 cookies each. She

repacked all the cookies into packets of 9. She sold each packet for $3 and the remaining cookies at $0.50 each. How much did she collect from the sale of cookies altogether?

Ans: _____________________

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40. Jerry had a 3-litre container filled to the brim with water. He poured 43

litres out and divided the remaining amount of water equally into 9 bottles. How much water was there in each bottle?

Ans: _____________________ 41. Daisy has some beads.

92 of them are blue.

31 of them are red and the

remaining 52 are yellow. How many more yellow beads than blue beads does Daisy have?

Ans: _____________________

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42. Book store A has 40 fewer magazines than book store B. If 130 magazines are transferred from book store B to book store A, there will be twice as many magazines in book store A as in book store B. How many magazines are there altogether?

Ans: _____________________ 43. Every month, Annie spends

73 of her pocket money and saves the rest. If

she spends $90 every month, how much will she save in 3 years?

Ans: _____________________

15

44. There are 128 men at a concert. There are twice as many women as there are men and thrice as many children as there are women. If all the people at the concert are put into groups of 8, how many groups are there together?

Ans: _____________________ 45. Find the sum of ‹a and ‹b.

Ans: _____________________

--- End of Paper ---

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Questions 1 to 10 carry 1 mark each and Questions 11 to 15 carry 2 marks each. For each question, write the number corresponding to the correct option in the bracket provided. 1. Round off the sum of 25 787 and 13 469 to the nearest hundred. (1) 39 300 (2) 38 960 (3) 38 900 (4) 38 000 ( ) 2. In the number 52 890, the difference in the value of digit 5 and digit 8

is _________. (1) 3 (2) 40 (3) 4920 (4) 49 200 ( ) 3. The product of all the factors of 10 is _________. (1) 10 (2) 20 (3) 50 (4) 100 ( ) 4. 4 +

32 is the same as __________ .

(1) 3

42 (2) 3 + 35

(3) 4 x 32 (4) 3 – 1 +

32

( ) 5. The difference between two numbers is 84. If the bigger number is 4

times the smaller number, find the sum of the two numbers. (1) 88 (2) 112 (3) 140 (4) 164 ( )

Marks

17

6. The figure below is made up of 2 squares. What is the perimeter of the figure?

(1) 39 (2) 42 (3) 47 (4) 52 ( ) 7. What of the following is the best estimate of the angle X?

(1) 450 (2) 900 (3) 1200 (4) 2250 ( )

8. How many sixths are there in 3

31 ?

(1) 20 (2) 19 (3) 10 (4) 5 ( ) 9. There are 34 pupils and 4 teachers in each class. How many people are

there altogether in 20 classes? (1) 38 (2) 80 (3) 680 (4) 760 ( )

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10. In the figure below, how many right angles are there altogether?

(1) 4 (2) 8 (3) 10 (4) 12 ( ) 11. Jessie is facing north-west after making a 2250 anti-clockwise turn.

Where did she face before she made the turn?

(1) South (2) East (3) South-east (4) South-west ( ) 12. Square A and Rectangle B have the same area. The sides of Square A are

8 cm long. The breadth of Rectangle B is 4 cm. What is the perimeter of Rectangle B?

(1) 16 cm (2) 24 cm (3) 40 cm (4) 64 cm ( ) 13. It takes John 6 seconds to cut a strip of paper into 2 equal pieces as

shown below. How long would it take for him to cut a similar strip of paper into 10 pieces?

(1) 48 seconds (2) 54 seconds (3) 60 seconds (4) 66 seconds ( )

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14. Henry read 41 of a book on Saturday and

52 of it on Sunday. If he read

50 pages on Saturday, how many pages had he left? (1) 50 (2) 70 (3) 80 (4) 200 ( ) 15. At a fun fair, 9 hot dogs were sold for every 7 hamburgers sold. If 72

hot dogs were sold, how many hamburgers were sold? (1) 8 (2) 16 (3) 56 (4) 63 ( ) Questions 16 to 35 carry 2 marks each. Write your answers in the spaces provided. For questions which require units, give your answers in the units stated. 16. 64 700 is 7000 more than _______________.

Ans: _____________________ 17. Express 26 eighths as a mixed number.

Ans: _____________________ 18. Write down the first two common multiples of 6 and 9.

Ans: _____________________

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19. 127 of 84 is _________.

Ans: _____________________ 20.

103 +

103 +

103 +

103 = _________.

Express your answer in the simplest form.

Ans: _____________________ 21. How many right angles does the minute hand on a clock go through if it

moves for 3 h 30 min?

Ans: _____________________ 22. A number when divided by 6, has a quotient of 57 and a remainder of 4.

What is the number?

Ans: _____________________

21

23. Complete the number pattern below. 25, 50, 77, __________, 137, 170, 205.

Ans: _____________________ 24. How many pairs of parallel lines are there in the figure below?

Ans: _____________________ 25. Mandy had $3570 in her bank account. She put in another $300. How

much more money must she put in if she wants to have a sum of $5000?

Ans: _____________________

22

26. What is the product of the largest factor of 11 and the largest factor of 2010?

Ans: _____________________ 27. If

95 of the shapes below are shaded, how many more shapes need to be

shaded?

Ans: _____________________ 28. A fruit seller had 50 boxes of apples. There were 36 apples in each box.

If all the apples were sold at 9 for $2, how much money would make from the sale of apples?

Ans: _____________________

23

29. A farmer had chickens, ducks and pigs in his farm. 94 of his animals

were chickens and 125 of them were ducks. What fraction of his animals

were pigs?

Ans: _____________________ 30. Laura paid $171 for 5 toy cars and 3 dolls. A toy car cost $7 more than a

doll. Find the cost of a toy car.

Ans: _____________________ 31. Every 3 caps cost $33and every 5 T-shirts cost $60. Find the total cost

of 9 such caps and 10 such T-shirts.

Ans: _____________________

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32. At a fun fair, every 6th customer was given a book and every 10th customer was given a T-shirt. What was the position of the first customer who received both a book and a T-shirt?

Ans: _____________________ 33. I am a 2-digit even number. I can be divided by both 3 and 11 without

leaving a remainder. What is the smallest possible value of me?

Ans: _____________________ 34. Study the number pattern carefully. Find the missing number.

Ans: _____________________

?

62 158

4 16 10

2 3 6 2

25

35. The figure below is made up of 3 different squares.

AB = 12 cm and CB = DE = 8 cm. Find the length of EF.

Ans: _____________________ Questions 36 to 45 carry 4 marks each. Show your working clearly in the space below each question and write your answers in the spaces provided. 36.

In the zoo, 94 of the people are adult and the rest are children. If there

are 350 children, how many adults are there in the zoo?

Ans: _____________________

26

37. In a game, there were 40 rows of children. In each row, there were twice as many girls as boys. If there were 28 girls in each row, how many children took part in the game?

Ans: _____________________ 38. At a fun fair, the Primary Four pupils sold 25 greeting cards each. There

were 38 pupils in each of the six Primary Four classes. What was the total number of cards sold by the pupils?

Ans: _____________________

27

39. Jimmy has 5 times as many stickers as Ron. After Jimmy gave 96 stickers to Ron, both of them have an equal number of stickers. How many stickers do they have altogether?

Ans: _____________________ 40. Vicky has 50 more cards than Stella. Thomas has 180 cards less than the

sum of Vick’s and Stella’s cards. If Vicky, Stella, and Thomas have 2200 cards altogether, how many cards does Stella have?

Ans: _____________________

28

41. Sam paid $7840 for 5 computers and 5 printers. Each computer cost thrice as much as each printer. What was the cost of each computer?

Ans: _____________________ 42. In Packet A, there are 56 marbles and

74 of them are black.

In Packet B, there are 72 marbles and 85 of them are black.

How many more black marbles are there in Packet B than in Packet A?

Ans: _____________________ 43. Natalie spent

41 of a day doing her homework. Kelvin took

32 of the time

taken by Natalie to do his homework. How much faster is Kelvin compared Natalie? (Take 1 day = 24 hours)

Ans: _____________________

29

44. James earned a monthly salary of $2700. He saved 52 of his salary each

month for seven months, from January to July. In August, he spent 83 of

his savings on holidays. How much did he spend on his holidays?

Ans: _____________________ 45. The figure below is made up of two squares. The area of the smaller

square is 121 cm2. What is the perimeter of the larger square?

Ans: _____________________ --- End of Paper ---

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Questions 1 to 10 carry 1 mark each and Questions 11 to 15 carry 2 marks each. For each question, write the number corresponding to the correct option in the bracket provided. 1. What is the value of 5 thousands, 23 hundreds and 15 tens? (1) 5380 (2) 7315 (3) 7450 (4) 52 315 ( ) 2. 20 000 more than 34 860 is __________. (1) 54 860 (2) 36 860 (3) 32 860 (4) 14 860 ( ) 3. What are the common factors of 24 and 36? (1) 1, 3, 4, 6, 8 (2) 1, 2, 3, 4, 6, 12 (3) 1, 3, 6, 9, 12 (4) 1, 4, 6, 8, 16 ( ) 4.

In the figure above, BC is parallel to __________.

(1) AE (2) AB (3) CD (4) DE ( )

Marks

31

5. The clock shows 4.30 p.m. How many 41 - turns will the minute hand have

to take to reach 7 p.m.? (1) 12 (2) 10 (3) 6 (4) 4 ( )

6. 22 x 5 is the same as __________. (1) 20 x 5 (2) 2 x 2 x 5 (3) 2 x 5 x 11 (4) 20 x 2 x 5 ( ) 7. What fraction of the figure below is shaded?

(1)

83 (2)

53

(3) 31 (4)

21

( ) 8. What is

94 +

94 +

94 ?

(1) 394 (2)

2712

(3) 134 (4) 1

31

( ) 9. Lucy has seven $50 notes and three $20 notes. She wants to buy a

camera that costs $520. How much more money does she need? (1) $110 (2) $310 (3) $450 (4) $590 ( )

32

10. Find the product of 1050 and 45. (1) 9450 (2) 45 050 (3) 47 250 (4) 56 700 ( ) 11. Mr. Tan is 41 years old now. Next year, his son will be

72 of his age. How

old is Mr. Tan’s son now? (1) 10 years old (2) 11 years old (3) 12 years old (4) 13 years old ( ) 12. A bottle is

53 full of water. When another 135 ml of water is poured in, it

becomes 109 full. What is the capacity of the bottle?

(1) 45 ml (2) 150 ml (3) 225 ml (4) 450 ml ( ) 13. Jessica had 544 oranges. She packed them into boxes of 8 oranges each.

How many boxes did she need to hold all the oranges? (1) 60 (2) 67 (3) 68 (4) 70 ( ) 14. Find the perimeter of the figure below.

(1) 55 cm (2) 63 cm (3) 66 cm (4) 76 cm ( )

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15. Jackie and Kathy had the same amount of money. After Jackie had spent $80, Kathy’s money was 5 times that of Jackie’s. How much money did they have altogether at first?

(1) $100 (2) $112 (3) $120 (4) $200 ( ) Questions 16 to 35 carry 2 marks each. Write your answers in the spaces provided. For questions which require units, give your answers in the units stated. 16. Find the sum of 14 thousands, 27 hundreds, 34 tens and 48 ones.

17. Estimate 4213 ÷ 7 rounded off to the nearest hundred.

18. 1000 ÷ 25 = x 10. What is the missing number in the box?

Ans: _____________________

34

19. What is the perimeter of the figure below?

Ans: _____________________ 20. What is the largest possible 5-digit odd number that can be formed

using the digits 2, 4, 5, 8, and 9?

Ans: _____________________ 21. The sum of all the factors of 32 is __________.

35

22. Arrange 61 ,

43 ,

21 ,

32 in descending order.

23. How many angles in the figure below are greater than 900?

Ans: _____________________ 24. Complete the following pattern: 6, 11, 21, A, 56, 81, B.

Ans: _____________________ 25. There are 96 fruits in a basket.

83 of them are apples and the rest are

oranges. How many oranges are there in the basket?

Ans: _____________________

36

26. The figure below is not drawn to scale. Find ‹x.

Ans: _____________________ 27. Mandy bought 28 packets of candies. Each packet contains 16 candies.

She gave each of her 8 friends an equal number of candies. How many candies did each of her friends get?

Ans: _____________________ 28. Express 50 cm as a fraction of 3 m.

Ans: _____________________

37

29. Ryan bought 4 similar jackets. Caroline bought 6 similar dresses and paid $42 more. If each dress cost $32, how much did each jacket cost?

Ans: _____________________ 30. Liz gave away

83 of her paper clips and had 40 paper clips left. How many

paper clips did she give away?

Ans: _____________________ 31. A is a square and B is a rectangle. They have the same area. What is the

perimeter of rectangle B?

Ans: _____________________

38

32. A leaking tap fills a tank at a rate of 350 ml every 15 minutes. How many litres of water will there be in the tank after 3 hours?

Ans: _____________________ 33. Tim is as twice as old as Ken. Next year Ken will be twice as old as Nancy.

If Nancy is 12 years old now, how old is Tim?

Ans: _____________________ 34. The figure below is made up of 6 identical squares. The perimeter of the

figure is 126 cm. What is the length of each side of the square?

Ans: _____________________

39

35. Alan had 240 cookies. He sold 53 of them and packed the rest into sets

of 8. How many sets did he pack?


The breadth of a rectangle is 31 its length. The perimeter of the

rectangle is 72 cm. Find its area.

Ans: _____________________

40

37. Mr. Tan had some money. He kept $500 for himself, gave $1700 to his wife and divided the rest equally among his three children. If each of his children received $175, how much did Mr. Tan have at first?

Ans: _____________________ 38. Cathy has some balloons. She gave Peter

41 of them, and gave Paul

121

more than what she gave Peter. If Cathy had given away 42 balloons in total, how many balloons has she left?

Ans: _____________________

41

39. Tim money was 3 times that of Jane. After Tim spent $500, Jane ‘s money was double Tim’s. How much money did they have at first?

Ans: _____________________ 40. A basket when fill with 15 papayas weighs 4

31 kg. If each papaya weighs

41 kg, what is the mass of the basket?

Ans: _____________________

42

41. Michael, Tom and Joy collected 1360 stamps altogether. Michael collected 180 stamps more than Tom and Tom collected 155 stamps more than Joy. How many stamps did Michael collect?

Ans: _____________________ 42. Box A contains 14 fifty-cent coins and Box B contains some twenty-cent

coins. If 6 coins are taken out of Box A, the value of coins in Box A is twice the value of coins in Box B. How many coins are there in Box B?

Ans: _____________________

43

43. There were 100 oranges in Basket A and B altogether. 20 oranges were transferred from Basket A to Basket B and 35 oranges were transferred from Basket B to Basket A. Now Basket A has thrice the number of oranges in Basket B. How many oranges were there in each basket at first?

Ans: _____________________ 44. An equal number of boys and girls took part in a competition. After the

first round, 54 of the boys and

85 of the girls were eliminated. If 15 girls

remained in the competition, how many boys were eliminated?

Ans: _____________________

44

45. One movie ticket cost $12. For every 8 tickets bought, 2 tickets were given free. Find the total cost of all the movie tickets for a group of 53 people.

Ans: _____________________

--- End of Paper ---

45



Questions 1 to 10 carry 1 mark each and Questions 11 to 15 carry 2 marks each. For each question, write the number corresponding to the correct option in the bracket provided. 1. 3129 less than ____ is 70 000. (1) 73 129 (2) 71 329 (3) 79 123 (4) 92 329 ( ) 2. Round off the product of 728 and 11 to the nearest ten. (1) 8 008 (2) 8 110 (3) 8 010 (4) 6 890 ( ) 3. 3 ten thousands, 98 tens 70 ones is ____. (1) 30 987 (2) 41 050 (3) 39 870 (4) 31 050 ( ) 4. What are the common factors of 60 and 120? (1) 2, 3, 4, 6, 10, 12,15,20, 30, 60 (2) 1, 2, 3, 4, 5, 6, 10, 12,15,20, 30,

60 (3) 2, 3, 4, 5, 10, 12,15,20, 30, 60 (4) 1, 2, 3, 4, 5, 6, 10, 12,15,20, 30 ( ) 5. What is the difference between the twelfth multiple of 13 and the ninth

multiple of 9? (1) 75 (2) 81 (3) 45 (4) 4 ( )

6. In 72 213, what is the value of the digit 7? (1) 7000 ones (2) 7 hundreds (3) 70 thousands (4) 700 tens ( )

Marks

46

7. There were a number of children in the hall. The teacher could divide the children equally without any leftovers in groups of either 5 or 9. How many children were there?

(1) 135 (2) 305 (3) 125 (4) 215 ( ) 8. All factors of a given number are listed below. What are the missing

factors in the blanks? 1, ___, 5, 9, 15, ___.

(1) 3 and 54 (2) 2 and 30 (3) 3 and 60 (4) 3 and 45 ( ) 9. A luggage cost four times as much as a haversack. If John spent $2 510

on 2 such luggage and 2 such haversacks, how much did 1 luggage cost? (1) $251 (2) $1 004 (3) $753 (4) $1 104 ( ) 10. A machine produced 8 451 toys in 9 days. If it produced the same

number of toys in a day, how many toys would the machine be able to produce in a week?

(1) 5 573 (2) 7 357 (3) 6 573 (4) 939 ( ) 11. ABCD is a rectangle. What is the value of angle BAD?

(1) 50 o (2) 32o

(3) 58 o (4) 42 o ( )

47

12. The area of a rectangular plot of land is 415 m2. If its breadth is 5 m, find its length.

(1) 81 (2) 83 (3) 53 (4) 55 ( ) 13. ABCD is a rectangle with the perimeter of 65 m. Its length is 4 times its

breadth. What is the area of the rectangle? (1) 169 m2 (2) 766 m2 (3) 676 m2 (4) 876 m2 ( ) 14. How many fifths are there in 6

153 ?

(1) 31 (2) 9 (3) 13 (4) 3 ( ) 15. A piece of wire 204 cm long is bent into the shape of a cube. What is the

length of AB?

(1) 13 cm (2) 11 cm (3) 17 cm (4) 15 cm ( ) Questions 16 to 35 carry 2 marks each. Write your answers in the spaces provided. For questions which require units, give your answers in the units stated. 16. What is

53 of 135?

Ans: _____________________

48

17. List the first two common multiples of 27 and 126?

Ans: _____________________ 18. What is the sum of 31 hundreds, 63 tens and 44 thousands?

Ans: _____________________ 19. In the 51 853, what is the difference between the values of the digit 5?

Ans: _____________________ 20. A box contains 9 muffins and a tin contains 6 pieces of cookies. Mrs. Yeo

wants to buy an equal number of muffins and cookies. What is the least number of boxes of muffins and tins of cookies that Mrs. Yeo must buy? _______ box(es) of muffins. _______ tin(s) of cookies.

Ans: _____________________

49

21. There were 24 girls, 25 boys and 14 teachers in a hall of a school. What fraction of the people were students?

Ans: _____________________ 22. What is the quotient of 3304÷8?

Ans: _____________________ 23. ABCD is a rectangle. Find angle a.

Ans: _____________________ 24. Jane works 8 hours a day. She earns $15 for every hour she works. How

much does she earn if she works for 31 days?

Ans: _____________________ 25. List all the common factors of 45 and 135.

Ans: _____________________

50

26. Round off the product of 45 and 737 to the nearest hundred.

Ans: _____________________ 27. Study the pattern and fill in the missing number.

5 5440, ____, 1 320, 264, 66, 22, 11, 11.

Ans: _____________________ 28. Number A is 3500 when rounded off to the nearest hundred and number

B is 8310 when rounded off to the nearest ten. a. What is the greatest possible value of number A? b. What is the greatest possible sum of the two numbers?

Ans: _____________________ 29. Toni had a collection of stamps. He had fewer than 150. The number of

stamps he had can be divided into groups of 5 stamps or 9 stamps. What was the greatest possible number of stamps he had?

Ans: _____________________

51

30. Square A has the area of 144 cm2. What is the perimeter of triangle B?

Ans: _____________________ 31. 1

53 +

152 x351-

86 =?

Ans: _____________________ 32. Nina read

86 of a book on Monday and

51 of the book on Sunday. What

fraction of the book must she read to finish reading the book?

Ans: _____________________ 33.

What fraction of the balls are black?

Ans: _____________________

52

34. Find the perimeter of the figure below. (two rectangles are congruent)

Ans: _____________________ 35. Name A B C D E

Hours of working

8 5 9 12 7

$ / hour 56 30 5 16 18 The table above shows the number of working hours and remuneration per hour of working of 5 different people. Suppose you are their boss. What is the total money do you have to pay them?

Ans: _____________________

53


Ms. White had $284 more than Yani. She gave $589 to Yani. If they had a total of $8428, how much did Ms. White have finally?

Ans: _____________________ 37. A can of coke cost $0.85 less than a bottle of coke. If 9 cans of coke

and 3 bottles of coke cost $16.95, what is the cost of 11 such cans of coke?

Ans: _____________________ 38. Darryl is attending a mathematics class in a lecture theatre. He is sitting

at the fifth row from the stage. There are 5 seats to his left and 9 seats to his right. If there are 13 rows behind him, how many seats are there in the lecture theater?

Ans: _____________________

54

39. John spent 86 of his money to buy a new car. He had $356 left. How

much money did he have at first?

Ans: _____________________ 40. In Uncle Tom’s farm, there were 3 cows: A, B, C. Uncle Tom got 3

51

liters of milk from cow A, 8

36 liters of milk from cow B and 2 liters of

milk from cow C in order to make cheese for sale at a carnival. If the

amount of milk he had was just 1512 of what he needed in total, what was

the total amount of milk needed?

Ans: _____________________ 41.

Find the area of the shaded region in the figure?

Ans: _____________________

55

42. 13 watermelons cost as much as 104 apples. Mrs. Young bought 3 watermelons and 13 apples for $14.80. How much did an apple cost?

Ans: _____________________ 43. The amount of money Tom had was

51 the amount of money Mary had.

They had $5562 altogether. How much money did Mary have?

Ans: _____________________

56

44. Mr. George raises pigs and chickens on his own farm. The total number of legs of pigs and chickens is 1126. The number of pigs is 488 less than the number of chickens. How many chickens are there on the farm?

Ans: _____________________ 45. The length of AD is

73 that of AB. If the perimeter of the rectangle is

1380 cm, find the area of the rectangle.

Ans: _____________________

57



Questions 1 to 10 carry 1 mark each and Questions 11 to 15 carry 2 marks each. For each question, write the number corresponding to the correct option in the bracket provided. 1. In the 82 352, the value of the digit 3 is ___.

(1) 3 (2) 30 ones (3) 30 (4) 30 tens ( )

2. Which is the following is an equivalent fraction of 85 ?

(1) 32 (2) 1-

41

(3) 1610 (4)

1210

( )

3. The sum of 332 and

1610 is ___.

(1) 4247 (2)

2413

(3) 12103 (4) 3

247

( ) 4. 89 184 – 15 159 = ____. (1) 84 145 (2) 74 025 (3) 84 035 (4) 74 052 ( ) 5. Which of the following has the same value as 259×75? (1) 17 325 (2) 9 452 (3) 19 525 (4) 19 425 ( )

Marks

58

6. 34 148 when rounded off to the nearest hundred is ____. (1) 34 150 (2) 34 100 (3) 34140 (4) 34 200 ( ) 7. Which of the following angles is less than 90o?

(1) A (2) C (3) B (4) D ( ) 8.

(1) 46 (2) 27 (3) 55 (4) 9 ( ) 9. What is the sum of 29 482 and 54 189? (1) 83 671 (2) 83 417 (3) 83561 (4) 82 617 ( )

= 729

= 55

= ?

x x

+

59

10. The figure is made up of three squares. The perimeter of the figure is ___ cm.

(1) 711 (2) 385 (3) 474 (4) 632 ( ) 11. John had a bottle of milk. He drank

82 in the morning and drank

53 of the

remainder in the evening. What fraction of the original amount of milk did he have left?

(1) 52 (2)

103

(3) 203 (4)

53

( ) 12. There are 345 red balloons and 335 yellow balloons. Toni mixes them

together and divides them into groups of 8. How many groups of balloons are there?

(1) 55 (2) 77 (3) 85 (4) 75 ( ) 13. How many right angles are there in the figure?

(1) 2 (2) 4 (3) 1 (4) 5 ( )

60

14. ABCD is a square.

Which of the following is the right angle?

(1) HAE (2) GAD (3) HEF (4) GEF ( ) 15. 515 × 47 - 359 = ___. (1) 24 205 (2) 23 175 (3) 23 846 (4) 23 126 ( ) Questions 16 to 35 carry 2 marks each. Write your answers in the spaces provided. For questions which require units, give your answers in the units stated. 16. Each letter represents a different digit. The same letter represents the

same digit.

The digit A= ___ and the digit B=___.

Ans: _____________________

61

17.

What is the area of the uncoloured section of the figure?

Ans: _____________________ 18. The product of 259 and 93 is ___.

Ans: _____________________ 19. The quotient of 5922 divided by 7 is ___.

Ans: _____________________ 20. Which line is parallel to line AB?

Ans: _____________________

62

21. What is the value of 247 of 356 in mixed number?

Ans: _____________________ 22. This figure is drawn to scale. What is the value of angle a?

Ans: _____________________ 23. The figure is made up of identical triangles. What fraction of the figure

is unshaded?

Ans: _____________________

63

24. List all the factors of 126.

Ans: _____________________ 25. ?

10213

573

2031 =−×+

Give your answer in mixed number.

Ans: _____________________ 26. Which of the following number has more factors: 23, 7, 9, or 36?

Ans: _____________________ 27. 19020 ÷ 30 = ___ × 2

Ans: _____________________ 28. The product of the 4th and 8th multiples of 4 is ___.

Ans: _____________________

64

29. Draw the line CB perpendicular to the line AB.

Ans: _____________________ 30. Study the pattern below. What is the missing number?

35 640, ___, 270, 27, 3

Ans: _____________________ 31. Find the difference between

3533 and

1012 . Give the answer in an

improper fraction.

Ans: _____________________ 32. I am a 2-digit number. I am between 59 and 99. I am divisible by both 4

and 7. What number am I?

Ans: _____________________ 33. The smallest 5-digit even number that can be formed with the digits:

3, 0, 7, 5, and 4 is____.

Ans: _____________________

65

34. How many eighths are there in 10152 ?

Ans: _____________________ 35. The total number of legs of pigs and chickens on a farm is 170. There are

59 chickens on that farm. How many pigs are there on the farm?


Rudy bought some ribbon. He used 105 cm of it to wrap a present. He

then gave 31 of the remaining ribbon to Jane. He had 36 cm of ribbon

left. How much ribbon did he have at first?

Ans: _____________________

66

37. Xiao Yun bought 13 boxes of pens. There were 135 pens in each box. She sold 1005 pens. How many pens were left?

Ans: _____________________ 38. Mr. George bought 7 boxes of muffins at $15 each and 8 tins of cookies

at $23 each. How much did he have to pay in all?

Ans: _____________________ 39. Jacky drinks 22.5 litres of milk in 9 days. How many liters of milk does

he drink in a week?

Ans: _____________________

67

40. Sam has $140. He wants to buy a Playstation which cost $550. If he saves $82 a month, how many months does he need to save enough money to buy the Playstation?

Ans: _____________________ 41. Jane baked a pizza. She gave

31 of it to Dannie and another

81 of the

remainder to Timmy. She kept the rest for herself. a. How much more of the pizza did Dannie get than Timmy? b. What fraction of the pizza did Jane keep for herself?

Ans: _____________________

68

42. The length of AD is 71 that of AB. The perimeter of the rectangle is

944 cm. Find the area of the rectangle.

Ans: _____________________ 43. I have $1280. This is

58 of what Toni has.

How much money does Toni have?

Ans: _____________________

69

44. Toy A costs $13 less than toy B. Henry bought 3 toys B and 5 toys A, the total cost was $239. How much does one toy A cost?

Ans: _____________________ 45. Farmer Lin rears a total of 90 ducks and cows on his farm. The total

number of legs is 280. How many cows are there on his farm?

Ans: _____________________

70

Semestral Assessment 2: Mock Paper 1 Duration: 1 hr 45 min

Questions 1 to 10 carry 1 mark each and Questions 11 to 15 carry 2 marks each. For each question, write the number corresponding to the correct option in the bracket provided. 1. 57 thousands and 19 tens is the same as __________ . (1) 5719 (2) 57190 (3) 57019 (4) 58900 ( ) 2. How many eighths are there in 4 wholes? (1) 32 (2) 16 (3) 8 (4) 4 ( ) 3. 5 tens + 7 thousandths = _________ . (1) 0.57 (2) 5.7 (3) 5.007 (4) 50.007 ( ) 4. How many tenths are there in 60.6? (1) 6 (2) 60 (3) 606 (4) 6060 ( ) 5. Which of the following is a multiple of both 8 and 14? (1) 22 (2) 28 (3) 32 (4) 56 ( ) 6. What is the missing fraction?

85.48 = 80 + 5 + 52 +

(1) 252 (2)

104

(3) 5021 (4)

53 ( )

71

7. 30 x 6 x 20 = ___________. (1) 150 (2) 200 (3) 3600 (4) 30620 ( ) 8. 4 kg 56 g of rice is packed into 6 packets. What is the mass of each

packet in grams? (1) 76 g (2) 676 g (3) 751 g (4) 760 g ( ) 9. Find the value of

51

158−

(1) 107 (2)

209

(3) 51 (4)

31

( ) 10. Write 4

407 as a decimal.

(1) 4.175 (2) 4.130 (3) 4.012 (4) 4.740 ( ) 11. The perimeter of the rectangle below is 48 cm. If its length is twice its

breadth, find the area of the shaded part.

(1) 24 cm2 (2) 48 cm2 (3) 64 cm2 (4) 128 cm2 ( ) 12. The minute hand of a clock moved from 8:15 a.m. to 9.00 a.m. How many

degrees did the minute hand move through? (1) 45 (2) 90 (3) 180 (4) 270 ( )

72

13. Look at the following shapes. How many shapes have both parallel and perpendicular lines?

(1) 1 (2) 2 (3) 3 (4) 4 ( ) 14. The length of a pole is 160 cm. 8

5 of it is buried underground. What is the length of the pole above ground?

(1) 20 cm (2) 60 cm (3) 80 cm (4) 120 cm ( ) 15. Ryan had $18 more than Jane. After their mother gave each of them

$12, they had $90 altogether. How much did Ryan have at first? (1) $24 (2) $36 (3) $42 (4) $48 ( ) Questions 16 to 35 carry 2 marks each. Write your answers in the spaces provided. For questions which require units, give your answers in the units stated. 16. 40 585 = 40 000 + __________ + 80 + 5.

Ans: _____________________

73

17. Round 85844 off to the nearest hundreds.

Ans: _____________________ 18. Use the digits 4, 7, 9, 3, and 6 to form the smallest 5-digit even number.

Ans: _____________________ 19. 9.78 + 2.83 = __________ .

Ans: _____________________ 20. Find the value of 5097 x 8.

Ans: _____________________

74

21. 400 children took part in an international competition. There was an

equal number of girls and boys. 41 of the girls have black hair. How many

girls do not have black hair?

Ans: _____________________ 22. Write

920 as a mixed number in the simplest form.

Ans: _____________________ 23. Name the pair of parallel lines in the figure below.

A B

D

Ans: _____________________

E C

75

24. What is the value of A in decimal?

Ans: _____________________ 25. Brad is 1.75 m tall. He is 16 cm taller than Katie. What is Katie’s height in

metres?

Ans: _____________________ 26. A square has an area of 64 m2. The perimeter of a rectangle is twice the

perimeter of the square. What is the perimeter of the rectangle?

Ans: _____________________ 27. Write 9 hundredths as a decimal.

Ans: _____________________

0.6 A 0.8

76

28. Trees were planted along Handy Road. The first tree was planted at one end of the road. The distance between any two trees was 9 m. The length of the road was 531 m. How many trees were planted?

Ans: _____________________ 29. Arrange the following decimals in descending order.

0.235, 2.032, 0.245, 0.198, 2.35

30. What fraction of figure below is shaded?

Ans: _____________________ 31. Harry went from Singapore to Kuala Lumpur by bus. He arrived at Kuala

Lumpur at 2.15 a.m. and the trip was 531 hours long. At what time did he

start the trip?

Ans: _____________________

77

32. I am an odd number. I am greater than 60 and smaller than 70. One of my factors is 7. What number am I?

Ans: _____________________ 33. Jessica spent $122.25 on 5 skirts. How much did each skirt cost?

Ans: _____________________ 34. Find the area of the figure below.

Ans: _____________________

2 cm

4 cm

4 cm

6 cm6 cm

1 cm

78

35. Angela packed 648 cookies into 9 boxes. She then shared two boxes of cookies equally with her mother, father and sister. How many cookies did each of them get from Angela?


Mrs. Lee sold 236 oranges on Saturday. This was 88 fewer than the apples sold on the same day. On Sunday, she sold half of all the fruits sold on Saturday. How many fruits did she sell in the two days?

Ans: _____________________ 37. Jack is 9 years old. His mother is 30 years older than him. In how many

years’ time will his mother’s age be thrice his age?

Ans: _____________________

79

38. Mary has 780 stickers. John has twice as many stickers as Mary. How many stickers must John give Mary so that they will have the same number of stickers?

Ans: _____________________ 39. Lana bought 6 kg of sugar. She had 2.24 kg left after using the sugar

for baking 8 cakes. How much sugar did she use for each cake? (Give the answer in kg.)

Ans: _____________________ 40. A pail was

81 full of water. After 40 litres of water were added to the

pail, it became 43 full. How much water is needed to fill up the whole

pail?

Ans: _____________________

80

41. Kate read 51 of a book on Monday and

157 of the book on Tuesday. After

that, 40 pages were unread. How many pages were there in the book?

Ans: _____________________ 42. There 30 chickens and pigs in a farm. There are 84 legs altogether. How

many chickens are there in the farm?

Ans: _____________________ 43. The figure below is not drawn to scale. Find the value of angle X.

Ans: _____________________

70 X X

81

44. The total cost of 3 skirts and 5 dresses is $160. The total cost of 9 skirts and 13 dresses is $434. What is the cost of a dress?

Ans: _____________________ 45. The rectangle is made up of 3 identical rectangles. The perimeter of the

large rectangle is 90 cm. Find the area of each small rectangle.

Ans: _____________________ --- End of Paper ---

82

Semestral Assessment 2: Mock Paper 2 Duration: 1 hr 45 min

Questions 1 to 10 carry 1 mark each and Questions 11 to 15 carry 2 marks each. For each question, write the number corresponding to the correct option in the bracket provided. 1. In which of the following numbers does the digit 5 stand for 5000? (1) 35 470 (2) 92 548 (3) 62 050 (4) 40 005 ( ) 2. 20 thousands, 35 hundreds, and eight is the same as __________ . (1) 20358 (2) 20430 (3) 23508 (4) 23580 ( ) 3. 1.55 x 6 = __________ . (1) 6.55 (2) 7.55 (3) 9.3 (4) 10.3 ( ) 4. Which of the following numbers is the factor of both 40 and 60?

(1) 20 (2) 30 (3) 40 (4) 60 ( ) 5. What fraction of the shapes below are ?

(1) 51 (2)

52

(3) 103 (4)

101

( )

83

6. In which of the following sets are the numbers arranged from the greatest to the smallest?

(1) 2045, 2405, 2504, 2540 (2) 2450, 2405, 2504, 2054 (3) 2504, 2450, 2504, 2540 (4) 2540, 2504, 2405, 2045 ( ) 7. 7.009 = 7 +

?9 . What is the number in “?” ?

(1) 1 (2) 10 (3) 100 (4) 1000 ( ) 8. How many right angles has the minute hand through if it moved from

4.30 p.m. to 6.15 p.m.? (1) 5 (2) 7 (3) 8 (4) 9 ( ) 9. When rounded off the nearest $1000, Mr. Tan has $50 000. How much

money does Mr. Tan have? (1) 49 000 (2) 49 499 (3) 49 500 (4) 50 500 ( ) 10. The perimeter of a rectangle is 128 cm. Its length is thrice its breadth.

What is the length of the rectangle? (1) 16 cm (2) 48 cm (3) 64 cm (4) 96 cm ( ) 11. What is the product of the 2 largest factors of 32? (1) 32 (2) 64 (3) 128 (4) 512 ( ) 12. A theatre has 420 seats. 4 out of every 7 seats are occupied. How many

seats are unoccupied? (1) 60 (2) 105 (3) 180 (4) 240 ( )

84

13. Mrs. Tan sold some bags of fruits. There were 8 apples and 5 oranges in each bag. How many oranges did he sell if he sold a total of 195 fruits?

(1) 39 (2) 75 (3) 120 (4) 975 ( ) 14. Which is the best estimate for the product 67 x 552? (1) 60 x 550 (2) 60 x 560 (3) 70 x 550 (4) 70 x 560 ( ) 15. There were 900 people at the zoo.

53 of them were children.

31 of the

children were primary pupils. How many primary pupils were there at the zoo?

(1) 180 (2) 300 (3) 540 (4) 720 ( ) Questions 16 to 35 carry 2 marks each. Write your answers in the spaces provided. For questions which require units, give your answers in the units stated. 16. Subtract 8649 from 15729.

Ans: _____________________ 17. There is a row of pupils. Mandy stands in the middle of the row. There

are 12 girls on her left and 15 boys on her right. How many pupils are there in the row?

Ans: _____________________

85

18. What is the lowest common multiple of 5 and 9?

Ans: _____________________ 19. Divide 353 by 8. Round off the decimal answer to 2 decimal places.

Ans: _____________________ 20. Find the value of

41

163+ .

Ans: _____________________ 21. Arrange the following fractions from the smallest to the greatest.

1815,

187,

97

Ans: _____________________ 22. Ben bought some paper clippers. He gave

83 of them to Dennis. If Ben

gave Dennis 105 paper clips, and kept the rest for himself, how many paper clippers did Ben have at first?

Ans: _____________________

86

23. What is the difference between 132 and 0.8?

Ans: _____________________ 24.

+ = 76 – = 28

What is the value of ?

Ans: _____________________ 25. The rectangle below is not drawn to scale. Find x.

x 290

Ans: _____________________ 26. Annie bought a watermelon and a papaya. The mass of the watermelon is

331 kg. The papaya is 1

32 kg lighter than the watermelon. What is the

total mass of the two fruits?

Ans: _____________________

87

A B C

DE

27. Write 1.45 as a fraction in its simplest form.

Ans: _____________________ 28. How many times does the digit “8” appear from 70 to 90?

Ans: _____________________ 29. Roshan’s age this year is greater than 30 and smaller than 50. His age is

a multiple of 8 now. Two years later, his age will be a multiple of 7. How old is he now?

Ans: _____________________ 30. It takes James 1 hour 15 minutes to travel from home to school. He

reached school at 12.10 p.m. What time did he leave home?

Ans: _____________________ 31. The figure below is not drawn to scale. All lines are straight. Name one

pair of parallel lines from the figure.

Ans: _____________________

88

32. John and Kathy had the same amount of money. After John spent $40 and Kathy spent $14, the amount of money Kathy had left was twice the amount of John had left. How much did each of them have at first?

Ans: _____________________ 33. A square piece of paper has a perimeter of 52 cm. Jenny want to cut out

rectangles from it. Each rectangle has a breadth of 3 cm and a length that is twice its breadth. What is the maximum number of rectangles that can be cut out from it?

Ans: _____________________ 34. Mary cut a string into two pieces. She bent them to the rectangle and

the square below. The area of the square is equal to the area of the rectangle. Find the perimeter of the rectangle.

24 cm 36 cm

Ans: _____________________

89

35. Kim bought a pair of shoes for $32 and had 135 of her money left. How

much money did she have at first?


Mrs. Ho took 12 pupils to watch a movie. She paid $95 for the movie tickets altogether. If the ticket for each pupil costs $7, how much did the movie ticket for Mrs. Ho cost?

Ans: _____________________ 37.

83 of the beads in the box are blue. 0.5 of them are green. The rest are

red ones. If there are 40 fewer red beads than blue ones, how many beads are there in the box?

Ans: _____________________

90

38. Luna has 4 times as many stamps as George. George has twice as many stamps as Tim. They have 880 stamps altogether. How many stamps does Luna have?

Ans: _____________________ 39. Tim thought of a number. When he divided it by 8 and added 4.65 to the

quotient, he got 23.65. Find the number.

Ans: _____________________ 40. 3 identical car toys and 7 similar dolls cost $544 altogether. If a car toy

cost thrice as much as a doll, find the total cost of a car toy and a doll.

Ans: _____________________

91

41. Jenifer, Liz and Daniel had $635 together. Jenifer spent 41 of her

money and Liz spent thrice the amount Jenifer spent. Daniel spent $50. If they had the same amount of money left, how much did Liz have at first?

Ans: _____________________ 42. Given that ‹a is twice ‹b. Find ‹a.

Ans: _____________________

720 b

a

92

43. Daisy bought 18 magazines at $12 each and had $15 left. During a fun fair, the magazine cost $3 less than the original. How many more magazines could Daisy buy with the original amount of money?

Ans: _____________________ 44. Carol had some stickers to give to her friends. If she gave each friend 7

stickers, she would have 5 stickers left over. If she gave each friend 9 stickers, she would need 7 more stickers. How many stickers did Carol have?

Ans: _____________________

93

45. Jerry spent $14.40 each day from Monday to Wednesday, $25.80 on Thursday and $32.60 each day from Friday to Sunday. How much did he have at first if he had $50 left?

Ans: _____________________

94

Semestral Assessment 2: Mock Paper 3


Questions 1 to 10 carry 1 mark each and Questions 11 to 15 carry 2 marks each. For each question, write the number corresponding to the correct option in the bracket provided. 1. What is the value of 7 in 70 963? (1) 70 000 (2) 7000 (3) 700 (4) 70 ( ) 2. The digit “3” in 67.038 stands for 3 ____________. (1) hundreds (2) tenths (3) hundredths (4) thousandths ( )

3. Express 1646 as a decimal.

(1) 6.4 (2) 6.16 (3) 6.25 (4) 6.025 ( ) 4. In the figure, which angle is greater than a right angle?

(1) ‹a (2) ‹b (3) ‹c (4) ‹d ( ) 5. Which one of the following number is 74 600 when rounded off to the

nearest ten? (1) 74 584 (2) 74 595 (3) 74 608 (4) 74 692 ( )

Marks

95

6. Find the sum of all the factors of 32 that are multiples of 4. (1) 24 (2) 28 (3) 60 (4) 64 ( ) 7. Which of the following fractions is in its simplest form?

(1) 82 (2)

73

(3) 124 (4)

166

( ) 8. What is the fraction of the shaded part in the figure below?

(1)

31 (2)

52

(3) 41 (4)

21

( ) 9. Which one of the following figures contains both parallel and

perpendicular lines?

(1)

(2)

(3) (4) ( )

10. Katie wants to buy a dress that costs $29.55 but she only has $17.90. How much more money does she need?

(1) $2.70 (2) $11.65 (3) $12.55 (4) $12.65 ( ) 11. It takes 2

41 hours to travel from Brian’s house to city town by bus. If he

goes by car, it takes 121 hours. How much longer does it take by bus

than by car?

(1) 43 hr (2) 1

41 hr

(3) 143 hr (4) 3

43 hr ( )

96

12. Which line is the line of symmetry of the figure?

(1) AB (2) CD (3) EF (4) GH ( ) 13. Lim has $142. If he gives $ 34 to his brother, they will have the same

amount of money. How much does Lim’s brother have at first? (1) $176 (2) $125 (3) $108 (4) $74 ( ) 14. ABCD is square. Given ECB = 180. Find ACE.

A E B

C D (1) 22.50 (2) 270

(3) 450 (4) 90

( ) 15. Cheryl cut a cake to 16 slides. She ate 4 slides and her sister ate

41 of

the remaining cake. How many slides did her sister eat? (1) 3 (2) 4 (3) 9 (4) 12 ( )

97

Questions 16 to 35 carry 2 marks each. Write your answers in the spaces provided. For questions which require units, give your answers in the units stated. 16. What is the missing number in the blank?

48 059 = 40 000 + __________ + 50 + 7.

17. Fill in the blanks with the correct number in the number pattern below.

1225, 1190, 1155, __________, 1085.

18. Arrange the following in descending order.

32

21 0.532 0.452

Ans: _____________________ 19. Write

1255 as a fraction.

Ans: _____________________

98

20. The figure below is drawn to scale. What is the value of x?

Ans: _____________________ 21. Round 33 985 off to the nearest hundred.

Ans: _____________________ 22. A stack of 10 one-dollar coins has a height of 3.4 cm. what’s the height

of a stack of 4 one-dollar coins? Round off your answer to 1 decimal place.

Ans: _____________________ 23.

1211 -

83 = _________.

Ans: _____________________ 24. What is the highest common factor of 16 and 24?

Ans: _____________________

99

25. Amanda bought 3 pencils and 1 pen for $11.5. The pen cost $1.5 more than the pencil. How much did the pen cost?

Ans: _____________________ 26. Frank’s salary was $3300. He spent

125 of his money and gave his wife

$1500. How much had he left?

Ans: _____________________ 27. In the figure below, AD is parallel to (a) __________ and perpendicular

to (b) __________.

Ans: _____________________

100

28. There are 11 quarters and 14 eighths in a fraction. How many halves are there in the fraction?

Ans: _____________________ 29. 2 bags of mangos and 5 bags of oranges cost $29. If each bag of

oranges cost $4 less than each bag of mangos, find the cost of a bag of mango.

Ans: _____________________ 30. A rectangular piece of paper is folded as shown below. Find the area of

the original piece of paper.

Ans: _____________________

101

31. Mrs. Lee sold 31 of her cookies in the morning and

41 of them in the

afternoon. She sold 140 cookies. How many cookies had she left?

Ans: _____________________ 32. Fancy cut a wire into two pieces. She bent them to form a rectangle and

a square. The length of the square is 8 cm and it is twice the breadth of the rectangle. The area of the square is the same as the area of the rectangle. Find the perimeter of the rectangle.

Ans: _____________________ 33. Mary is facing the book store. She turns 2250 anti-clockwise. What is

she facing?

Ans: _____________________

102

34. The figure below is not drawn to scale. ABCD is a rectangle. Find ‹CDE and ‹ABG

Ans: _____________________ 35. Ross saved $50 in the first month, $100 in the second month, $150 in

the third month and so forth. Following this pattern, the amount of money he saved in the last month will be $300. How much money did he save in all?

Ans: _____________________

103


Tim bought a shirt, a belt and a pair of socks from a store. The shirt cost 6 times as much as the socks. The belt cost $7.55 more than the socks. If the socks cost $3.75, how much did Tim pay altogether?

Ans: _____________________ 37. Andy bought an equal number of bowls and spoons with $320. Each bowl

cost $2 more than a spoon and a spoon cost $4. How many more did he spend on the bowls than on the spoons?

Ans: _____________________

104

38. Leona had some cards. After giving 86 cards to Jimmy, they had the same number of cards. If Jimmy had 49 cards at first, how many cards did Leona have at first?

Ans: _____________________ 39. Sam had $450 at first. She spent

94 of her money at the shopping

center and 31 of it at the spa. How much money did she have left?

Ans: _____________________

105

40. There are 350 marbles in the box. 52 of the marbles are blue, and

72 of

the marbles are red. The rest are green ones. If 73 of the blue marbles

and 41 of the red marbles are removed, how many beads will be left in

the box?

Ans: _____________________ 41. The figure below is made up of 2 squares. The length of the bigger

square is thrice the length of the smaller square. Find the area of the figure.

Ans: _____________________

106

42. Ribbon A is 15 cm shorter than ribbon B. 43 of ribbon A is equal to

31 of

ribbon B. What is the length of ribbon B?

Ans: _____________________ 43. Mandy’s money was 5 times Nancy’s at first. After Mandy gave $72 to

Nancy, Mandy had the same amount of money as Nancy. How much money did Mandy have at first?

Ans: _____________________ 44. Carla bought a pair of shoes, a dress and a wallet for $210 together. The

shoes cost $25 more than the dress and the wallet cost $19 less than the dress. What was the cost of the wallet?

Ans: _____________________

107

45. The figure below is made up of 2 squares and 2 rectangles A and B. Find the area of the figure.

Ans: _____________________

108

Semestral Assessment 2: Mock Paper 4


Questions 1 to 10 carry 1 mark each and Questions 11 to 15 carry 2 marks each. For each question, write the number corresponding to the correct option in the bracket provided. 1. 55 thousands and 8 tens are the same as __________. (1) 558 (2) 5580 (3) 55080 (4) 55800 ( ) 2. How many lines of symmetry are there in the figure below?

(1) 1 (2) 3 (3) 5 (4) 10 ( )

3. Fill the missing number in the “?”:812 x 8 =

2? .

(1) 17 (2) 34 (3) 68 (4) 136 ( ) 4. What is 134.95 when is rounded off to 1 decimal place? (1) 135.0 (2) 135.9 (3) 134.0 (4) 134.9 ( )

Marks

109

5. How many minutes are there in 6 h 45 min? (1) 645 (2) 405 (3) 360 (4) 285 ( )

6. Find the difference between 26.96 and 5.88. Round off your answer to

the nearest tenth. (1) 2.08 (2) 20.0 (3) 21.0 (4) 21.1 ( ) 7. Which of the lines is parallel to AB?

A B

C D

(1) CD (2) AC (3) BC (4) AD ( ) 8. What is

53 of 1 minute? Give your answer in seconds.

(1) 12 s (2) 36 s (3) 60 s (4) 72 s ( ) 9. Tom has 2 twenty-cent coins and 5 fifty-cent coins. He put some coins in

the donation tin. How much money could he have donated? (1) $1.60 (2) $2.10 (3) $2.30 (4) $2.70 ( ) 10. Lim studied for a test from 21:50 to 1:45 the next day. How long did he

study? (1) 2 h 55 min (2) 3 h 50 min (3) 3 h 55 min (4) 4 h 55 min ( )

110

11. A number is 600 when rounded off to the nearest hundred. Another number is 900 when rounded off to the nearest hundred. What is the smallest possible sum of the two numbers?

(1) 1250 (2) 1400 (3) 1560 (4) 1620 ( ) 12. Laura took

125 hr to go to school from home by bus. How many seconds

did she take? (1) 25 s (2) 60 s (3) 300 s (4) 1500 s ( ) 13. Tom faced northeast after a 2250 clockwise turn. What direction was he

facing before the turn?

(1) South (2) West (3) Southeast (4) Southwest ( ) 14. ABCD is a rectangle and AEF is a right triangle. If BAE = 520, find

FAC.

(1) 380 (2) 450

(3) 520 (4) 1420

( )

A C

B

F

E

D

F

111

15. The figure below is not drawn to scale. Find the perimeter of the figure.

(1) 46 cm (2) 49 cm (3) 51 cm (4) 58 cm ( ) Questions 16 to 35 carry 2 marks each. Write your answers in the spaces provided. For questions which require units, give your answers in the units stated. 16. Find the value of 1 -

41 -

83 .

Ans: _____________________ 17. Write 4.45 as a fraction in the simplest form.

Ans: _____________________ 18. Write fourteen thousand and seventy-nine in figures.

Ans: _____________________ 19. Find the value of 8.46 x 7.

Ans: _____________________

112

20. Express 10049 as a decimal.

Ans: _____________________ 21. 23.4 – 6.79 = _________.

Ans: _____________________ 22. Arrange the following numbers in ascending order

0.507, 0.057, 0.705, 0.075

Ans: _____________________ 23. What is the lowest common multiple of 6 and 8?

Ans: _____________________ 24. Each of the symbols below represent a different number.

+ + + = 55

+ + = 39

x = 64

What number does represent?

Ans: _____________________

113

25. A piece of cloth is in red and orange. The red part is 0.75 m long and the orange part is 0.58 m longer than the red part. Find the length of the piece of cloth.

Ans: _____________________ 26. Anna bought 7 erasers at $2.25 each. She paid the cashier 2 ten-dollar

notes. How much change did she get?

Ans: _____________________ 27. Cheryl, May and Lily spent $1380 altogether. Cheryl spent thrice as

much as May spent and May spent half of what Lily spent. How much money did Cheryl spend?

Ans: _____________________ 28. Jenny started doing her part time job at 10:15 and finished at 16:30.

Her tea break was 45 minutes long. How much time did she spend doing her job?

Ans: _____________________

114

29. The figure below is made up of 2 rectangles and a square. Find the perimeter of the figure.

Ans: _____________________ 30. The figure below is not drawn to scale. Find ‹x.

Ans: _____________________ 31. The minute hand of a clock moved from 4.25 p.m. to 4.40 p.m. What was

the angle moved by the minute hand?

Ans: _____________________

115

32. Liz spent half of her money on clothes and 0.2 of that amount on food. Then she spent the rest of her money on 3 books. If each book cost $29.90, how much did Liz spend on clothes?

Ans: _____________________ 33. The figure below shows the square DFEG and the rectangle ABCD. Given

that DF = 32 DA and DG =

21 DC, find the perimeter of ABCD.

Ans: _____________________ 34. Jason earns $38.5 a day from his part time job. He spends $29.5 a day

and saves the rest. If he wishes to buy some CDs that cost $16.5 and a watch that costs $49.9, at least how many days does he need to save to buy both of them?

Ans: _____________________

116

35. Sara’s watch is 45 minutes faster than the actual time. She wants to meet her friend at 7 p.m. It takes her 40 minutes to get from her house to the meeting place. What time is shown on Sara’s watch when she leaves her house? Given that she leaves the house just to arrive the punctually to meet her friend.


John has 94 of what Laura has. If John has $1396, how much does Laura

have?

Ans: _____________________

117

37. Mary’s money was twice that of Fred’s. After Mary received $12 and Fred received $25 from their parents, they had the same amount of money. How much money did they have together at first?

Ans: _____________________ 38. Jane bought 2 identical pairs of jeans and 5 identical shirts for $216. If

a shirt cost 21 as much as a pair of jeans, find out the cost of a pair of

jeans.

Ans: _____________________ 39. Rectangle A and square B have the same perimeter. The side of the

square is 13 cm. The length of the rectangle is 4 cm longer than the side of the square. Find the area of the rectangle.

Ans: _____________________

118

40. Taylor and Jane had the same number of paper clips. After Taylor gave 48 paper clips to Jane, Jane had 4 times as many paper clips as Taylor. How many paper clips did Taylor have at first?

Ans: _____________________ 41. In the square below, the area of the shaded region is 33 m2. Find the

length of the square.

Ans: _____________________ 42. The usual price of box of biscuits is $4.25 and a box of oranges cost

$2.70. Daisy paid a total $23.89 for 5 boxes of biscuits and 3 boxes of oranges. How much money did she save?

Ans: _____________________

119

43. Jenifer mixed 4 bottles of water with 0.45 litres mango syrup to make mango juice. Each bottle contained 900 ml. She then poured equal amount of the mixture into 9 identical glasses. How many litres of mango juice were there in each glass?

Ans: _____________________ 44. John bought 2 umbrellas, 8 pens and 4 erasers for $35. The cost of 2

pens and 1 eraser was $3.80. How much did 1 umbrella cost?

Ans: _____________________

120

45. The figure below is not drawn to scale. Jia Lin pasted a rectangle picture on a cardboard measuring by 48 cm x 80 cm. He left a 4cm border all around the picture. What is the area of the cardboard not covered by the picture?

Ans: _____________________

121

Semestral Assessment 2- Mock Paper 5


Questions 1 to 10 carry 1 mark each and Questions 11 to 15 carry 2 marks each. For each question, write the number corresponding to the correct option in the bracket provided. 1. In which of the following numbers does the digit 7 stand for 70? (1) 35 070 (2) 48 703 (3) 67 094 (4) 70 658 ( ) 2. What is the missing number represented by “?” ?

50.070 = 50 + ?7

(1) 1 (2) 10 (3) 100 (4) 1000 ( ) 3. How many sevenths are there in 3 wholes?

(1) 73 (2)

37

(3) 7 (4) 21 ( ) 4. What is

43 of 1 kg? Give your answer in grams.

(1) 750 g (2) 75 g (3) 7.5 g (4) 0.75 g ( ) 5. Which one of the following is a factor of both 16 and 40? (1) 56 (2) 24 (3) 16 (4) 8 ( )

122

6. Which line is parallel with CD in the figure below?

(1) AB (2) BE (3) AE (4) BD ( ) 7. A square has an area of 49 cm2. Find its perimeter. (1) 14 cm (2) 21 cm (3) 28 cm (4) 49 cm ( ) 8. Find the value of

61

1811

− .

(1) 21 (2)

94

(3) 95 (4)

65

( ) 9. Mary ate

41 of the pizza and gave

31 of the remainder to her friend.

What fraction of the pizza was left?

(1) 21 (2)

32

(3) 43 (4)

125

( ) 10. Vanessa went to her school at 8:30 and left at 16:15 on the same day.

How long was she at school? (1) 7 h 15 min (2) 7 h 45 min (3) 8 h 15 min (4) 8 h 45 min ( )

123

11. Which one of these figures is a symmetric figure ?

(1)

(2)

(3)

(4)

( ) 12. Find the sum of all the factors of 32 that are multiples of 4. (1) 20 (2) 28 (3) 60 (4) 64 ( ) 13. Find the missing number in the box.

120 x 89 = 125 x 89 + 15 x 89 - x 89 (1) 260 (2) 20 (3) 10 (4) 5 ( ) 14. Cherry has a rectangle cardboard which measures 29 cm by 18 cm. She

wants to cut out as many small rectangular pieces as she can from it. Each small rectangular piece is measured by 6 cm x 4 cm. What is the maximum number of small rectangular pieces that she can get?

(1) 24 (2) 18 (3) 16 (4) 8 ( ) 15. Justin has $21 more than Ariel. After their mother gave each of them

$12, both of them have $83 together. How much money did Justin have at first?

(1) $19 (2) $38 (3) $40 (4) $52 ( )

124

Questions 16 to 35 carry 2 marks each. Write your answers in the spaces provided. For questions which require units, give your answers in the units stated. 16. Using the digits 2, 4, 5, 8, 9 to form the greatest 5-digit odd number.

Ans: _____________________ 17. Round off 25 890 to the nearest hundred.

Ans: _____________________ 18. 26.5 – 8.69 = _________.

Ans: _____________________ 19. Write

620 as a mixed number in its simplest form.

Ans: _____________________ 20. Write 9 hundredths as a decimal.

Ans: _____________________ 21. What is the difference between

85 and 0.5?

Ans: _____________________

125

22. Arrange the following numbers from the smallest to the greatest. 0.4068, 0.0468, 0.0648, 0.864

Ans: _____________________ 23. Find the value of 1+

107 +

21 .

Ans: _____________________ 24. There are 458 people at a concert. There are 80 more women than men.

How many women are there at the concert?

Ans: _____________________ 25. Dennis took

51 hr to go to school from home. How many seconds did he

take?

Ans: _____________________

126

26. The figure below is drawn to scale. Measure and write down the size of ‹X.

Ans: _____________________ 27. Jessie spent $60 on a watch and had

94 of money left. How much money

did she have at first?

Ans: _____________________ 28. Elaine bought 6 cakes for $128.34. How much did each cake cost? Round

off your answer to 1 decimal place.

Ans: _____________________

127

29. Find the area of unshaded region in the figure below.

Ans: _____________________ 30. + = 68

- = 26

What is the value of ?

Ans: _____________________ 31. A bag of 5 oranges cost $2.70 while an orange cost $0.60. If Darwin

wants to buy exactly 18 oranges, what is the minimum amount of money he has to pay?

Ans: _____________________

128

32. Find the number missing in “?” in the figure below.

Ans: _____________________ 33. If another

41 of the figure below were to be shaded, what fraction of

the whole figure would be shaded? Give your answer in its simplest form.

Ans: _____________________

129

34. Mr. Tan wants to plant trees of 6 m apart on all sides of his rectangle garden. The length of the garden is 60m and the breadth of the garden is 30m. How many trees does Mr. Tan need?

Ans: _____________________ 35. Daniel is standing at point marked X and facing MRT station. What will

he face if he turns 2700 clockwise?

Ans: _____________________

130


The area of the square ABCD is 121 cm2 and the area of the shaded square is 16 cm2. Given CE = FD, find the length of CE.

Ans: _____________________ 37. Box A is 5.7 kg heavier than box B. Box B is 3.8 kg heavier than box C. If

box A is 28 kg, what is the total mass of 3 boxes?

Ans: _____________________

131

38. Jason had $840 at first. He spent 41 of the money at the book store and

gave 32 of the remainder to his mother. How much money had he left?

Ans: _____________________ 39.

43 of Laura’s savings is equal to

76 of Carol’s savings. Laura saves $60

more than Carol. How much do they save together?

Ans: _____________________

132

40. The figure below is made up of 3 identical rectangles. The perimeter of the figure is 200 cm. Find the area of the figure.

Ans: _____________________ 41. Andrew and Allan had a total of 89 stickers at first. After Andrew

bought 35 more stickers and Allan lost 18 stickers, Andrew now have 8 more stickers than Allan. How many stickers did Andrew have at first?

Ans: _____________________

133

42. A bike has 2 wheels and a car has 4 wheels. There are 18 bikes and cars altogether. There are 52 wheels together. How many bikes are there?

Ans: _____________________ 43. All the figures below are squares. Study this pattern carefully.

Figure 1 Figure 2 Figure 3 Figure 2 are divided into 4 small squares and figure 3 are divided into 16 small squares. How many small squares are divided in figure 5?

Ans: _____________________

134

44. The parking charges at ABC car park is $2.5 for the first hour and $0.65 for every subsequent 30 min everyday. Mr. Lee parked his car at the car park from 11.30 a.m. to 3pm on Saturday and Sunday. How much did he pay together?

Ans: _____________________ 45. Paul took 3 h 50 min to do his homework. Tom started to do his

homework at 19:35 and finished at 22:00. Jimmy took 31 of the total time

taken by both Paul and Tom to do his homework. How long did Jimmy take to complete his homework?

Ans: _____________________

135

Answers to Semestral Assessment 1 – Mock Paper 1

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 3 4 3 4 2 3 3 2 4 2 1 4 1 2 3

16) 14 075 17) 4 18) 1860 19) 3085 20)

414

21) 53

21

94

125 ,,, 22) 4 23) 2700 24)

15132 25) 108

26) $230 27) 32 28) $725 29) A = 7, B = 5 30) 63

31) 32/5 km 32) Lab 33) 14 469 34) 242 cm2 35) 28 games

36) The skirt cost $15 + $17 = $32. $15 x 2 = $32, The dress cost $32. $15 + $32 + $32 = $77 Leona spent $77 on the 3 things.

37) 12 x $32 = $384 24 x $13 = $312 $1400 - $384 - $312 = $704 She had $704 left.

38) 85

41

83 =+

83

851 =−

720 ÷ 3 = 240 240 x 8 = 1920 Andy had 1920 stamps at first.

39) Mr. Lee had 140 x 30 = 4200 cookies. 4200 ÷ 9 = 466 remainder 6 $466 x 3 = $1398 $0.50 x 6 = $3 $1398 + $3 = $1401 She collected $1401 from the sale.

40) 3 - 43 = 2 4

1 l = 2250 ml 2250 ÷ 9 = 250 ml Each bottle contains 250 ml.

41) 95

31

92 =+ , 9

4951 =−

52 ÷ 4 = 13, 13 x 9 = 117 Daisy has 117 beads. 9

2 x 117 = 26, There are 26 blue beads. 52 – 26 = 26 There are 26 more blue beads than yellow

beads. 42) 130 – 40 = 90

1 unit: 90 + 40 + 90 = 220 3 units: 220 x 3 = 660 There are 660 magazines altogether.

43) 90 ÷ 3 = 30, 30 x 7 = 210 210 – 90 = 120 Annie saves $120 every month. 3 years = 36 months 120 x 36 = 4320. She will save $4320 in 3 years.

44) W: 128 x 2 = 256 C: 256 x 3 = 768 Total: 128 + 256 + 768 = 1152 1152 ÷ 8 = 144 There are 1152 ÷ 8 = 144 groups.

45) 90 – 18 – 40 = 32 ∠a = 320

90 – 22 – 40 = 28, ∠b = 280 320 + 280 = 600 The sum of ∠a and ∠b is 600.

136



16) 57 700 17) 4

13 18) 18, 36 19) 49 20) 56

21) 14 right angles

22) 346 23) 106 24) 1 25) $1130

26) 22 110 27) 5 28) $400 29) 365 30) $24

31) $219 32) 30th 33) 66 34) 9 794 35) 28 cm

36) 95

941 =−

350 ÷ 5 = 70 70 x 9 = 630 There are 640 people in the zoo. There are 9

4 x 630 = 280 adult in the zoo.

37) 28 x 2 = 14 14 + 28 = 42 There were 42 children in each row. 42 x 40 = 1680

38) 38 x 6 = 228 228 x 25 = 5700 The total number of cards sold was 5700.

39) 96 ÷ 2 = 48 48 x 5 = 240 240 + 48 = 288 They have 288 stickers together.

40) 2200 – 180 = 2020 2020 ÷ 2 = 1010 Thomas has 1010 cards. 1010 + 180 = 1190 Vicky and Stella have 1190 cards in total. 1190 – 50 = 1140 1140 ÷ 2 = 570 Vicky has 570 + 50 = 620cards.

41) 3 x 5 + 5 = 20 5 computers and 5 printers cost as much as

20 printers. 7840 ÷ 20 = 392 392 x 3 = 1176 The cost of a computer was $1176.

42) 74 x 56 = 32

85 x 72 = 45

45 – 32 = 13 There are 13 more black marbles in the in packet B than packet A.

43) 41 x 24 = 6 h

32 x 6 = 4h

6 – 4 = 2h Kelvin took 2h less.

44) 52 x 2700 = 1080

He saved $1300 each month. 1080 x 7 = 7560 He saved $9100 in 7 months.

83 x 7560 = 2835

He spent $2835 for his holidays.

45) 121 = 11 x 11 Each side of the smaller square is 11 cm 11 + 6 = 17 cm Each side of the larger square is 17 cm 17 x 4 = 68 cm The perimeter of the larger square is 68

cm.

137



16) 17 088 17) 600 18) 4 19) 220 cm 20) 98 425 21) 63 22) 4

3 , 32 , 2

1 , 61 23) 3 24) A =36, B =

111 25) 60

26) 2270 27) 56 28) 61 29) $37.5 30) 24

31) 52 cm 32) 4.2 l 33) 50 years old 34) 9 cm 35) 12

36) 8 units: 72 cm, 1 unit: 72 ÷ 8 = 9 cm The breadth of the rectangle is 8 cm. 8 x 3 = 24 cm The length of the rectangle is 24 cm Area of rectangle is 8 x 24 = 192 cm2.

37) 175 x 3 = 525 500 + 1700 + 525 = 2725 Mr. Tan had $2725 at first.

38) Cathy gave Paul 41 + 12

1 = 31 of her balloons.

Cathy gave away 41 + 3

1 = 127 of her

balloons. 42 ÷ 7 = 6, 6 x 12 = 72 She had 72 balloons at first. 72 – 42 = 30 She had 30 balloons left.

39) 5 units: 500 1 unit: 500 ÷ 5 = 100 100 x 8 = 800 They had $800 at first.

40) 15 x 41 = 4

15 kg 4 3

1 kg = 313 kg

127

415

313 =− kg The mass of the basket is 12

7 kg.

41) 3 units: 1360 – 180 – 155 – 155 = 870 1 unit: 870 ÷ 3 = 290 290 + 155 + 180 = 625 Michael collected 625 stamps.

42) 14 - 6 = 8 8 x 50 = 400 cents 400 ÷ 2 = 200 cents 200 ÷ 20 = 10 coins There are 10 twenty-cent coins in box B.

43) 100 ÷ 4 = 25 25 x 3 = 75 Now basket A has 75 oranges and basket B

has 25 oranges. 75 + 20 – 35 = 60 Basket A had 60 oranges at first. 100 – 60 = 40 Basket B had 40 oranges at first.

44) 1 - 85 = 8

3 15 ÷ 3 = 5 5 x 8 = 40 There were 40 girls and 40 boys in the competition. 5

4 x 40 = 32 32 boys were eliminated.

45) 8 x $12 = $96 8 + 2 = 10 10 tickets were sold together at $96. 53 ÷ 10 = 5 remainder 3 $96 x 5 = $480 $12 x 3 = $36 $480 + $36 = $516 The total cost was $516.

138

Answers to Semestral Assessment 1 – Mock Paper 4 Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 1 3 4 2 1 3 1 4 2 3 2 2 1 1 3

16) 81 17) 378 18) 47730 19) 49 950 20) 2 boxes, 3

tins 21) 7/9 22) 413 23) 34 degrees 24) $3720 25) 1, 3, 5, 9, 15,

45 26) 33 200 27) 7 920 28) a. 3549, b.11

863 29) 135 30) 36 cm

31) 47 2013

32) 201 33) 36

11 34) 170 cm 35) $961

36) $3767 37) $13.20 38) 270 39) $1424 40) 897 litres

41) 5625 cm2 42) $.40 43) $4635 44) 513 45) 99981 cm2

Answers to Semestral Assessment 1 – Mock Paper 5 Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 4 3 1 2 4 2 3 1 1 4 2 3 2 1 3

16) A=5, B=8 17) 55 cm2 18) 24 087 19) 846 20) CF 21) 103 6

5

22) 35o

23) 74 24)

1,2,3,6,7,9,14,21,42,63,126 25) 58 20

3

26) 36 27) 317 28) 512 29) - 30) 2970 31) 35

66 32) 84 33) 30574 34) 28 35) 13

36) 159 cm 37) 750 38) $289 39) 17.5 litres 40) 5 months

41)a. 41 , b. 12

7 42) 24 367 cm2

43) $800 44) $25 45) 50 cows

139

Answers to Semestral Assessment 2: Mock Paper 1 Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 2 1 4 3 4 1 3 2 4 1 3 4 2 2 3

16) 500 17) 85 800 18) 34796 19) 12.61 20) 40 776 21) 150 22) 2 9

2 23) AE and CD 24) 0.76 25) 1.59 m

26) 64 m 27) 0.09 28) 60 29) 2.35, 2.032, 0.245, 0.235, 0.198

30) 41

31) 8.55 p.m. 32) 63 33) $24.45 34) 54 cm2 35) 36

36) 236 + 88 = 324 She sold 324 apples on Saturday. 236 + 324 = 560 The number of fruits sold on Saturday was 560. 560 ÷ 2 = 280 She sold 280 fruits on Sunday. 560 + 280 = 840 She sold 840 fruits on the two days.

37)

His mother

Jack 30 years old 30 ÷ 2 = 15 Jack will 15 years old when his mother’s age is thrice Jack’s age. In15 – 9 = 6 years’ time, the age of Jack’s mother is thrice his age

38) 780 x 2 =1560 John has 1560 stickers. 780 + 1560 = 2340 They have 2340 stickers together. 2340 ÷ 2 = 1170 Each has 1170 stickers if they share equally. 1560 – 1170 = 390 John must give Mary 390 stickers.

39) 6 – 2.24 = 3.76 She used 3.76 kg of sugar to bake 8 cakes. 3.76 ÷ 8 = 0.47 kg She used 0.47 kg for each cake.

40) 43 - 8

1 = 85

1 - 85 = 8

3

85 of water in the pail is 40 litres, 8

3 of the pail hadn’t been filled up yet. 5 units: 40 l 1 unit: 40 l ÷ 5 = 8 l 3 units: 8 l x 3 = 24 l 16 l of water was needed to fill up the pail.

41) 51 + 15

7 = 32

1 - 32 = 3

1 3

1 of the book is 40 pages. 40 x 3 = 120 There were 120 pages in the books.

42) There are 18 chickens. 43) 1800 – 700 = 1100

X= 1100 ÷ 2 = 550

44) $160 x 3 = $480 The cost of 9 skirts and 15 dresses is $480. The cost of 9 skirts and 13 dresses is $457. $480 – 434 = $46 The cost of 2 dresses is $46. $46 ÷ 2 = $23 The cost of a dress is $23.

45) 90 ÷ 10 = 9 The breadth of the small rectangular is 9 cm. 9 x 2 = 18 The length of the small rectangular is 18 cm. 9 x 18 = 162 The area of the small rectangular is 162 cm2.

140


16) 7080 17) 28 18) 45 19) 44.13 20) 16

7

21) 187 , 9

7 , 1815 22) 280 23) 15

13 24) 52 25) 610

26) 5kg 27) 2029 28) 12 times 29) 40 30) 10.55 a.m.

31) AD and CE 32) $66 33) 8 34) 104 cm 35) $52

36) 7 x 12 = 84, 95 – 84 =11

Mrs. Ho’s ticket was $11. 40) 3 x 3 + 7 = 16

3 car toys and 7 dolls cost as much as 16 dolls. $544 ÷ 16 = $34, A doll cost $34. 34 x 3 = $102, A toy car cost $102. A toy car and a doll cost $34 + $102 = $136.

37) 0.5 = 21 , 1 - 8

3 - 21 = 8

1

81 of the beads in the box are red.

83 - 8

1 = 82 , 2 units: 40 beads,

1 unit: 40 ÷ 2 = 20 8 units: 20 x 8 = 160, There are 160 beads in the box.

38) Luna George 880 Tim

880 ÷ 11 = 80, Tim has 80 stamps. 80 x 8 = 640, Luna has 640 stamps. 39) 23.65 – 4.65 = 19

19 x 8 = 152. The number is 152.

42) 1800 - 720 = 1080, 1080 ÷ 3 = 360

b is 360. 360 x 2 = 720, ∠a is 720.

41) Jenifer Liz $635

Daniel $635 – $50 = $585, $585 ÷ 13 = $45, $45 x 3 = $135, Liz spent $135 and had $135 left. $135 + $135 = $270, Liz had $270 at first.

43) 18 x 12 = 216, 216 + 15 = 221 Daisy had $221 at first. 12 – 3 = 9 Each magazine cost $9 during the fun fair. 221 ÷ 9 = 24 remainder 5. 24 – 18 = 6 She could buy 6 more magazines during the fun fair with the original amount of money.

44) 5 + 7 = 12 With 12 more stickers, each friend would be given 2 more stickers. 12 ÷2 = 6, There are 6 friends. 6 x 7 = 42, 42 + 5 = 47 Carol had 47 stickers at first.

45) $14.40 x 3 = $43.20, Jerry spent $43.20 from Monday to Wednesday. $32.60 x 3 = $97.80, He spent $97.80 from Friday to Sunday. $43.20 + $25.80 + $97.80 = $166.80, He spent $166.80 for the whole week. $166.80 + 50 = $216.80, Jerry had $216.80 at first.

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16) 8000 17) 1120 18) 3

2 0.532 21

0.452 19) 12

65 20) 330

21) 34 000 22) 1.4 cm 23) 2413 24) 8 25) $4

26) $425 27) (a) BC, (b) AB

28) 9 29) $7 30) 320 cm2

31) 100 32) 40 cm 33) school 34) ∠CDE = 650 and ∠ABG = 180

35) $1050

36) $3.75 + $7.55 = $11.3, The belt cost $11.3. $3.75 x 6 = $22.5, The shirt cost $22.5. $3.75 + $11.3 + $22.5 = $37.55 Tim paid $37.55 altogether.

37) $4 + $2 = $6, $4 + $6 = $10 A bowl and a spoon cost $10 together. $320 ÷ $10 = 32

Andy bought 32 bowls and 32 spoons. $2 x 32 = 64 He spent $64 more on bowls than on spoons.

38) 49 + 86 = 135 After Leona gave 86 cards to Jimmy, each of

them had 133 cards. 135 + 86 = 221, Leona had 221 cards at first.

39) 94 + 3

1 = 97 , 9

7 of her money was spent. 1 unit: $450 ÷ 9 = $50 2 units: $50 x 2 = $100,She had $100 left.

40) 52 x 350 = 140

There are 140 blue marbles in the box. 7

2 x 350 = 100 There are 100 red marbles in the box. 7

3 x 140 = 60, 41 x 100 = 25

60 + 25 = 85, 85 marbles are removed from the box. 350 – 85 = 265 There are 265 marbles left in the box.

41) 3 x 3 cm = 9 cm The length of the bigger square is 9 cm. 3 cm x 3 cm = 9 cm2

9 cm x 9 cm = 81 cm2

9 cm2 + 81 cm2 = 90 cm2

The area of the figure is 90 cm2.

42) 1 unit: 15 ÷ 5 = 3 cm, 9 units: 3 x 9 = 27 cm, Ribbon B is 27 cm long.

43) 2 units: $72 1 unit: $72 ÷ 2 = $36 Nancy had $36 at first. $36 x 5 = $180 Mandy had $180 at first.

44)

$210 - $25 + $19 = $204, $204 ÷ 3 = $68 The dress cost $68. $68 - $19 = $49, The wallet cost $49.

45) Area of A = Area of B The length of A = The length of the larger

square = 9 cm. The breadth of A = The length of the smaller

square = 6 cm 9 + 6 = 15 cm The length of the largest square is 15 cm 15 x 15 = 225 cm2 The area of the figure is 225 cm2.

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16) 8

3 17) 2089 18) 14 079 19) 59.22 20) 0.49

21) 16.61 22) 0.057, 0.075, 0.507, 0.705

23) 24 24) 15 25) 2.08 m

26) $4.25 27) $690 28) 5 h 30 min 29) 64 cm 30) 1300 31) 900 32) $149.5 33) 84 cm 34) 8 days 35) 7.05 p.m. 36) 1 unit: $1396 ÷ 4 = $349 9 units: $349 x 9 = $3141 Laura has $3141.

37) 1 unit : $25 - $12 = $13, Fred had $13 at first. $13 x 2 = $26, Mary had $26 at first. $13 + $26 = $39, They had $39 at first.

38) 5 + 2 x 2 = 9 2 jeans and 5 shirts cost as much as 9 shirts. $216 ÷ 9 = $24 The shirt cost $24. $24 x 2 = $48. The jean cost $48.

39) 13 x 4 = 52 cm The perimeter of the square is 52 cm. 13 + 4 = 17 cm The length of the rectangle is 17 cm. 17 x 2 = 34, 52 – 34 = 18, 18 ÷ 2 = 9 cm The breadth of the rectangle is 9 cm. 17 x 9 = 153 cm2 The area of the rectangle is 153 cm2.

40) 3 units: 48 x 2 = 96 paper clips Jane had 96 paper clips more than Taylor. 1 unit: 96 ÷ 3 = 32 Taylor had 32 paper clips after giving 48

ones to Jane. 32 + 48 = 80,

Taylor had 80 paper clips at first.

41) 33 m2 – 8 m2 = 25 m2 25 m2 x 4 = 100 m2 The area of the square is 100 m2. 100 = 10 x 10 The length of the square is 10 m.

42) 5 x $4.25 = $21.25 3 x $2.7 = $8.1 $21.25 + $8.7 = $29.35 The usual price for 5 boxes of biscuits and 3

boxes of oranges is $29.35. $29.35 - $23.89 = $5.46 Daisy saves $5.46.

43) 900 ml = 0.9 l 4 bottles of water: 0.9 x 4 = 3.6 l Mango juice: 3.6 + 0.45 = 4.05 l Each glass: 4.05 ÷ 9 = 0.45 l

44) $3.8 x 4 = $15.2 8 pens and 4 erasers cost $15.2. $35 – $15.2 = $19.8 2 umbrellas cost $19.8. $19.8 ÷ 2 = $9.9 The umbrella cost $9.9.

45) 80 – 8 = 72 cm 48 – 8 = 40 cm 40 x 72 = 2880 cm2

The covered area is 2880 cm2. 48 x 80 = 3840 cm2 The area of the cardboard is 3840 cm2. 3840 – 2880 = 960 cm2 The area that is not covered is 960 cm2.

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16) 98 425 17) 25 900 18) 17.81 19) 3 3

1 20) 0.09

21) 81 22) 0.0468,

0.0648, 0.4068, 0.864

23) 511 24) 269 25) 720 s

26) 620 27) $108 28) $21.4 29) 133 cm2 30) 47 31) $9.9 32) 9 33) 7

4 34) 30 trees 35) Bus stop

36) Each side of ABCD: 11 cm x 11 cm = 121

cm2. Each side of the shaded square: 4 cm x 4 cm = 16 cm2

11 – 4 = 7 cm, 7 ÷ 2 = 3.5 cm The length of CE is 3.5 cm.

37) 28 – 5.7 = 22.3 kg, Box B is 22.3 kg. 22.3 – 3.8 = 18.5 kg, Box C is 18.5 kg. 28 + 22.3 + 18.5 = 68.8 kg Their total mass is 68.8 kg.

38) 1 - 41 = 4

3 , 43 x $840 = $630

Jason had $630 after spending 41 of his

money. 1 - 3

2 = 31 , 3

1 x $630 = $210, He had $210 left.

39) $60 x 7 = $420, $60 x 8 = $480 They save $420 + $480 = $900 altogether.

40) 200 cm: 10 breadths of the small rectangle 1 breadth: 200 ÷ 10 = 20 cm 20 x 2 = 40 cm The breadth of the figure is 40 cm. 20 x 3 = 60 cm The length of the figure is 60 cm. 40 x 60 = 2400 cm2 The area of the figure is 2400 cm2.

41) Total number of stickers after Andrew bought 35 more: 89 + 35 = 124

Total number of stickers after Allan lost 18 stickers: 124 – 18 = 106

106 – 8 = 98 98 ÷ 2 = 49, Allan has 49 stickers now. 49 + 8 = 57, Andrew has 57 stickers now. 57 – 35 = 22, Andrew had 22 stickers at first.

42) There are 10 bikes.

43) Figure 2: 2 x 2 = 4, Figure 3: 4 x 4 = 16 Figure 4: 8 x 8 = 64, Figure 5 : 16 x 16 = 256 There are 256 small squares.

44) 3 p.m. – 11.30 a.m. = 3 h 30 min = 1 h + 2h 30 min

$0.65 x 5 = $3.25 $2.5 + $3.25 = $5.75 He paid $5.75 a day. $5.75 x 2 = $11.5 He paid $11.5 together.

45) 25 min + 2 hr = 2 hr 25 min Tom took 2 hr 25 min to complete his

homework. 3 hr 50 min + 2 hr 25 min

= 6 hr 15 min = 375 min 375 ÷ 3 = 125 min = 2 hr 5 min Jimmy took 2 hr 5 min to complete his

homework.

Outreach p4-math

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