Mastering Mathematics 4A

WMPB14034A

Special Features

3 Topical-based practices 3 Revision papers 3 Challenging questions 3 Complete answers

Mastering Mathematics Workbook 4A

Mastering Mathematics is a comprehensive series of assessment workbooks which is written based on the latest Primary Mathematics Syllabus issued by the Ministry of Education of Singapore. Each of the workbooks provides sufficient practices on various types of questions. The approach adopted by the writers aims at reinforcing mastery of mathematical concepts, improving problem-solving skills and developing creative and critical thinking skills.

PELANGI

Topic-By-Topic

Latest

MOE Syllabus

www.PelangiBooks.com • Online Bookstore • Online Library •

Primary

Published by:

Pelangi Publishing Singapore Pte. Ltd. In collaboration with:

Dickens Publishing Ltd. Suite G7-G8, Davina House, 137-149 Goswell Road, London, EC1V 7ET, United Kingdom.

E-mail: info@dickenspublishing.co.uk

( 201112597 C )

WMPB14034A

ISBN: 978-981-07-1230-3

,!7IJ8B0-hbcdad!

In collaboration with Dickens Publishing Ltd. (UK)

Lilian Yeo

Unit 1

Whole Numbers (Part 1).....................................

1

Unit 2

Whole Numbers (Part 2).....................................

7

General Revision 1......................................................... 15 Unit 3

Whole Numbers (Part 3)..................................... 18

Unit 4

Tables and Line Graphs .................................... 29

General Revision 2 ........................................................ 34 Unit 5

Fractions ...................................................... 39

Unit 6

Angles ......................................................... 52

General Revision 3 ........................................................ 61 Unit 7

Perpendicular and Parallel Lines .......................... 67

Unit 8

Squares and Rectangles ................................... 72

General Revision 4 ........................................................ 79 Final Revision .............................................................. 85 Challenging Questions ................................................... 94 Answers .................................................................. 97

iv

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Mathematics Primary 4A Unit 1 Whole Numbers (Part 1)

1

Whole Numbers (Part 1)

A Write down the given quantities in numerals and in words.

1.

In numerals : In words

:

2.

In numerals : In words

:

3.

In numerals : In words

:

1

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Mathematics Primary 4A Unit 1 Whole Numbers (Part 1)

B Write in words.

1. 17 012

:

2. 23 476

:

3. 45 608

:

4. 53 009

:

5. 90 500

:

C Write in numerals.

1. eighty thousand and fifteen 2. nineteen thousand, four hundred and one 3. forty-three thousand and seventy 4. seventy-one thousand and five hundred 5. twenty-three thousand, eight hundred and ninety-six

D Write the place value of the underlined digit.

1. 34 751 2. 29 789 3. 50 875 4. 27 617 5. 47 683 6. 80 357

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Mathematics Primary 4A Unit 1 Whole Numbers (Part 1)

E Write the value of the digit 7 in each number.

1. 20 764

2. 75 843

3. 84 074

4. 37 045

5. 68 257

6. 91 736

F Write the value of each digit in each of the following numerals.

1. 74 309

3. 65 3 1 8

2. 94 823

4. 37 468

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Mathematics Primary 4A Unit 1 Whole Numbers (Part 1)

G Fill in the blanks.

1. 49 605 =

ten thousands + 9 thousands +

hundreds +

ten + 5 ones

= 40 000 +

+ 600 +

2. 71 523 = 7 ten thousands +

thousand + 5 hundreds +

tens + 3 ones

=

+ 1000 +

3. 90 214 =

ten thousands + +

+ 20 +

ten +

=

+

thousand +

hundreds

ones +

+

H Fill in each blank with the correct answer.

1. 70 000 + 4000 + 300 + 20 + 1 = 2. 5000 + 700 + 90 + 2 = 3. 60 000 + 700 + 10 + 9 = 4. 20 000 + 5000 + 400 + 5 =

I Circle the greater number.

1. 9234 3. 56 048

,

92 340 ,

50 648

2. 37 149   ,

77 149

4. 87 403

78 403

,

4

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Mathematics Primary 4A Unit 1 Whole Numbers (Part 1)

J Circle the smaller number.

1. 5861 3. 13 576

,

6851 ,

19 576

2. 17 000   ,

10 070

4. 98 630

89 360

,

K Arrange the following numbers in order, beginning with the smallest.

1. 9457 , 5497 , 7459 , 4579

,

,

,

,

,

2. 71 562 , 67 251 , 76 521 , 27 561

,

3. 53 219 , 32 846 , 49 845 , 32 915

,

,

,

L Arrange the following numbers in order, beginning with the greatest.

1. 6319 , 3619 , 9613 , 9316

,

,

,

2. 37 624 , 37 426 , 36 724 , 36 742

,

,

,

3. 35 276 , 64 930 , 54 826 , 84 723

,

,

,

5

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Mathematics Primary 4A Unit 1 Whole Numbers (Part 1)

M Complete the number patterns.

1. 4375, 4575,

,

2. 71 385,

, 5175,

, 71 395, 71 400,

3.

, 24 215, 26 315,

4.

,

, ,

, 32 615

, 3279, 3269,

5. 37 432, 37 332, 6. 65 970,

, 3249

,

, 37 032,

,

, 63 930, 62 910,

N Fill in each blank with the correct answer.

1.

is 50 less than 84 328.

2.

is 3000 less than 45 643.

3.

is 200 more than 79 814.

4.

is 1000 more than 13 820.

5. 50 000 less than 93 413 is 6. 2000 less than 87 545 is

. .

7. 7000 more than 28 942 is

.

8. 30 000 more than 9307 is

.

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Mathematics Primary 4A Unit 2 Whole Numbers (Part 2)

2

Whole Numbers (Part 2)

A Round off each number to the nearest ten.

1. 435 

2. 906 

3. 733 

4. 324 

5. 8067 

6. 3451 

7. 29 438 

8. 17 395 

9. 57 813 

10. 89 995 

B Round off each number to the nearest hundred.

1. 328 

2. 504 

3. 4813 

4. 6985 

5. 5682 

6. 68 446 

7. 47 999 

8. 95 074 

9. 28 849 

10. 35 558 

7

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Mathematics Primary 4A Unit 2 Whole Numbers (Part 2)

C Round off each 2-digit number or 3-digit number to the nearest ten and each 4-digit number to the nearest hundred. Then, estimate the value of each of the following.

1. 43 + 23 

+

=

3. 2135 + 283 

+

=

–

=

9. 511 – 9 

–

=

=

–

=

10. 327 + 89 + 709 +

=

× 8

=

12. 45 × 5 

+

÷ 5

÷8

=

16. 543 ÷ 6 

×5

=

14. 237 ÷ 8 

15. 444 ÷ 5 

8. 6538 – 1215 



× 7

13. 67 × 8 

=

–

=

11. 32 × 7 

+

=

6. 731 – 47 

7. 1492 – 536 

=

–

=

+

4. 318 + 1483 

5. 864 – 186 

2. 256 + 567 

÷6

=

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Mathematics Primary 4A Unit 2 Whole Numbers (Part 2)

D Find the factors of each number.

1. 16 = 1 ×

16 = 2 ×

16 = 4 ×

The factors of 16 are

2. 24 =

×

24 =

×

24 =

×

24 =

×

The factors of 24 are

and

,

,

and

.

,

,

,

,

,

,

,

,

,

,

,

,

.

3. 48 =

×

48 =

×

48 =

×

48 =

×

48 =

×

The factors of 48 are

,

,

,

and

.

9

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Mathematics Primary 4A Unit 2 Whole Numbers (Part 2)

E Find the factors of each pair of numbers. Then, list the common factors of each pair of numbers.

1. (a) The factors of 6 are (b) The factors of 12 are (c) The common factors of 6 and 12 are 2. (a) The factors of 15 are (b) The factors of 30 are (c) The common factors of 15 and 30 are 3. (a) The factors of 12 are (b) The factors of 18 are (c) The common factors of 12 and 18 are

F Fill in the blanks with ‘Yes’ or ‘No’.

1. Is 7 a factor of 21?

2. Is 7 a factor of 42?

3. Is 7 a common factor of 21 and 42?

4. Is 3 a factor of 15?

5. Is 3 a factor of 20?

6. Is 3 a common factor of 15 and 20?

G Fill in the blanks with ‘✓ ’ or ‘ ✗ ’.

1. 45 is a multiple of 9.

2. 81 is a multiple of 5.

3. 56 is a multiple of 8.

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Mathematics Primary 4A Unit 2 Whole Numbers (Part 2)

4. 24 is a multiple of 7.

5. 27 is a multiple of 3.

6. 31 is a multiple of 6.

H List the first four multiples of each number.

1. 2 : 2. 7 : 3. 8 : 4. 9 : 5. 10 :

I Find the first nine multiples of each pair of numbers. Then, list the common multiples of each pair of numbers.

1. (a) 3 : (b) 4 : (c) The common multiples are

and

.

2. (a) 5 : (b) 7 : (c) The common multiple is

.

3. (a) 3 : (b) 9 : (c) The common multiples are

,

and

.

11

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Mathematics Primary 4A Unit 2 Whole Numbers (Part 2)

J Solve the following word problems.

1. Which of the following numbers when rounded off to the nearest hundred is 86 400? (a) 86 394 (b) 86 407 (c) 86 450 (d) 86 344

2. List all the numbers that give the answer 35 760 when rounded off to the nearest ten.

3. A number is between 40 and 50. It is an odd number. If one of its factors is 7, what is the number?

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Mathematics Primary 4A Unit 2 Whole Numbers (Part 2)

4. What is the smallest 2-digit number that has 6 factors?

5. A number is between 30 and 40. It is a multiple of 9. It is also a factor of 108. What is the number?

6. X is a 1-digit number. It is an odd number between 3 and 9. If the eighth multiple of X is 56, find number X.

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Mathematics Primary 4A Unit 2 Whole Numbers (Part 2)

7.

Year

4A

4B

Number of aluminium cans

14 513

15 262

The table above shows the number of aluminium cans collected by the pupils of Primary 4A and Primary 4B during the ‘Go Green Campaign’.

What was the total number of aluminium cans collected by the pupils when rounded off to the nearest hundred?

8. Alan collected 7147 stamps. Susan collected 1385 fewer stamps than Alan.

What was the total number of stamps collected by both of them? Round off the answer to the nearest ten.

9. 15 750 people participated in the National Day parade. 7164 of them were school children, 4525 were civil servants and the rest were workers from private sector. How many participants were workers from the private sector? Round off the answer to the nearest hundred.

14

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A Choose the correct answer and write its number in the brackets provided.

1. 6800 written in words is (1) six thousand and eighty (2) six hundred and eighty (3) six thousand eight hundred (4) sixty-eight thousand

( )

2. What is the place value of the digit 3 in 73 865?

(1) Ten thousands (2) Thousands (3) Hundreds (4) Tens

( )

3. What is forty-seven thousand and seventy-eight in numerals?

(1) 4778 (2) 40 778 (3) 47 078 (4) 47 780

( )

4. What is the missing number?

81 225 = 81 000 + (1) 225 (3) 1225

+ 25 (2) 200 (4) 1200

5. Which of the following is a common multiple of 6 and 8?

(1) 12 (2) 24 (3) 36 (4) 42

( )

( )

6. Choose the closest estimated value of 3456 + 8975 by rounding off each number to the nearest ten.

(1) 12 320 (2) 12 330 (3) 12 430 (4) 12 440 ( )

15

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