Mastering Mathematics 4B

Page 1

WMPB14034B

Special Features

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

Mastering Mathematics Workbook 4B

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

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 )

WMPB14034B

ISBN: 978-981-07-1231-0

,!7IJ8B0-hbcdba!

In collaboration with Dickens Publishing Ltd. (UK) PELANGI

Lilian Yeo


Unit 9

Decimals (Part 1) ................................................. 1

Unit 10

Decimals (Part 2) ...............................................17

General Revision 1 ......................................................... 24 Unit 11

Time ............................................................. 30

Unit 12

Area and Perimeter ........................................... 38

General Revision 2.......................................................... 48 Unit 13

Symmetry ....................................................... 55

Unit 14

Tessellations .................................................... 59

General Revision 3 ......................................................... 66 Final Revision ............................................................... 74 Challenging Questions .................................................... 84 Answers .................................................................... 87

iv

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Mathematics Primary 4B  Unit 9 Decimals (Part 1)

9

Decimals (Part 1)

A Count the shaded parts. Complete the table below. Figure

Fraction

Decimal

Read as …

1. 10 2. 10 3. 10 4. 10 5.

6.

1

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Mathematics Primary 4B  Unit 9 Decimals (Part 1)

B Complete the place values. Hundreds

Tens

Ones

Tenths

0.3

·

2.3

·

42.3

·

542.3

·

217.6

·

C Write each fraction as a decimal. 7 = 10 =

1.

3. 9 = 10 =

+

tenths

ones +

tenths

4.

7. 37 = 10 = =

3 = 10 =

tenths

one +

tenths

2.

5. 1 2 = 10 =

4 = 10 =

tenths

tenths

6. 8 5 = 10 =

8. 53 = 10 =

ones +

tenths

+ ones +

tenths

=

2

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Mathematics Primary 4B  Unit 9 Decimals (Part 1)

D Write each decimal in tenths. (1 whole = 10 tenths). 1. 0.8 =

tenths

2. 0.5 =

tenths

3. 0.2 =

tenths

4. 0.4 =

tenths

5. 5.1 =

tenths

6. 8.3 =

tenths

7. 12.9 =

tenths

8. 65.4 =

tenths

E Write a decimal for each of the following. 1. 3 tenths =

2. 8 tenths =

3. 9 tenths =

4. 5 ones 6 tenths =

5. 8 ones 4 tenths =

6. 9 ones 2 tenths =

7. 11 ones 1 tenth =

8. 48 ones 5 tenths =

F Write the missing decimal in each box. 1. 0

1

2

3

12

13

14

15

47

48

49

50

2.

3.

3

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Mathematics Primary 4B  Unit 9 Decimals (Part 1)

G Fill in the blanks with the correct answers. 1. 0.5 =

tenths = 0.5 = 5 10

2. 9.4 =

ones

3. 35.6 =

= 30 + 5 +

4. 82.7 =

tens

tens

= 80 + 2 +

tenths =

+ 0.4 =

ones

+

tenths

= 30 + 5 + ones

tenths

= 80 + 2 +

5. In 24.8, (a) the digit

is in the tens place.

(b) the digit

is in the tenths place.

(c) the digit 4 stands for

ones.

(d) the value of the digit 2 is

.

(e) the value of the digit 8 is

.

(f) the value of the digit 4 is

.

6. In 85.7, (a) the digit 5 is in the

place.

(b) the digit 8 is in the

place.

(c) the digit 7 stands for

.

(d) the value of the digit 7 is

.

(e) the value of the digit 5 is

.

(f) the value of the digit 8 is

.

4

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Mathematics Primary 4B  Unit 9 Decimals (Part 1)

H Count the shaded parts. Complete the table below. Figure

Fraction

Decimal

Read as …

1.

2.

3.

4.

5.

5

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Mathematics Primary 4B  Unit 9 Decimals (Part 1)

I Complete the place values. Tens

Ones

Tenths

Hundredths

0.02

·

2

0.08

·

8

0.45

·

4

5

1

·

2

6

7

·

8

9

1.26 67.89

6

J Write each fraction as a decimal. 5 = 100 =

hundredths

1 = 100 =

hundredths

6 = 100 =

hundredths

12 = 100 =

tenths

hundredths

23 = 100 =

tenths

hundredths

1.

2.

3.

4.

5. 6

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Mathematics Primary 4B  Unit 9 Decimals (Part 1)

6. 4 9 = 100 =

ones

hundredths

7. 3 49 = 100 =

ones

tenths

8. 24 85 = 100 =

tens

ones

hundredths

tenths

hundredths

K Write a decimal for each of the following. 1. 2 hundredths =

2. 17 hundredths =

3. 81 hundredths =

4. 100 hundredths =

5. 435 hundredths =

6. 590 hundredths =

L Write each decimal in hundredths. ( 1 whole = 10 tenths = 100 hundredths, 1 tenths = 10 hundredths) 1. 0.09 =

hundredths

2. 0.23 =

hundredths

3. 0.50 =

hundredths

4. 1.24 =

hundredths

5. 23.65 =

hundredths

6. 86.05 =

hundredths

7

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Mathematics Primary 4B  Unit 9 Decimals (Part 1)

M Write the missing decimal in each box. 1. 0

0.1

0.2

0.3

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

2.

3.

N Fill in each blank with the correct answer. 1. 0.04 =

hundredths =

4 1 00

2. 0.52 =

tenths

hundredths

= 0.5 + 0.02

=

3. 9.35 =

+ ones

=9+

+

=9+

+

4. 72.83 =

tenths

tens

ones

= 70 + 2 +

+

= 70 + 2 +

+

hundredths

tenths

hundredths

8

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Mathematics Primary 4B  Unit 9 Decimals (Part 1)

5. In 36.28, (a) the digit

is in the tenths place.

(b) the digit 8 stands for

.

(c) the value of the digit 3 is

.

(d) the value of the digit 8 is

.

6. In 75.49, (a) the digit 4 is in the

place.

(b) the digit 9 is in the

place.

(c) the value of the digit 7 is

.

(d) the digit 5 stands for

.

O Complete the place values. Tens

Ones

Tenths

0.002

·

0.087

·

0.536

·

7.145

·

Hundredths Thousandths

P Write each fraction as a decimal. 1.

3 m= 1000

m

2.

57 g = 1 000

3. 763 ml = 1000

ml

4. 1145 km = 1 000

5. 6 58 m = 1000

m

6. 4 234 km = 1 000

g km km 9

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Mathematics Primary 4B  Unit 9 Decimals (Part 1)

Q Write a decimal for each of the following. 1. 8 thousandths =

2. 23 thousandths =

3. 365 thousandths =

4. 9308 thousandths =

R Fill in the missing fraction in each box. 1. 0.419 = 4 + 1 + 10 1 00

2. 3.245 = 3 + 2 + 4 + 10 1 00

3. 56.703 = 56 + 7 + 10

4. 73.296 = 73 + 2 + 9 + 10 1 00

S Write the missing decimal in each box. 1.

0

0.005

0.01

0.015

0.02

0.03

3

3.005

3.01

3.015

3.02

3.025

3.03

27

27.005

27.01

27.02

27.025

27.03

2.

3. 27.015

10

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Mathematics Primary 4B  Unit 9 Decimals (Part 1)

T Write the place value and the digit value of underlined digit as a decimal for each of the following. 1. 0.8

2. 1.27

Place value:

Place value:

Digit value:

Digit value:

3. 2.053

4. 4.196

Place value:

Place value:

Digit value:

Digit value:

5. 61.143

6. 872.342

Place value:

Place value:

Digit value:

Digit value:

U Express each decimal as a fraction or mixed number in its simplest form. 1. 3.279 =

=

=

ones thousandths +

tenths +

2. 23.816 =

tens

thousandths

=

+

=

+

ones

+

hundredths

tenths

+

hundredth

+

11

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Mathematics Primary 4B  Unit 9 Decimals (Part 1)

3. 61.045 =

tens

one

thousandths

=

+

=

+

4. 278.394 =

hundreds

hundredths

=

5. 703.598 =

hundreds

hundredths

=

tenths

+

hundredths

+

tens

ones

tenths

thousandths

tens

ones

tenths

thousandths

V Fill in each blank with the correct answer. 1. In 5.982, (a) the digit

is in the thousandths place.

(b) the digit

is in the tenths place.

(c) the value of the digit 2 is

.

(d) the value of the digit 8 is

.

2. In 39.421, (a) the digit

is in the thousandths place.

(b) the digit

is in the hundredths place.

(c) the value of the digit 1 is

.

(d) the value of the digit 4 is

.

12

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Mathematics Primary 4B  Unit 9 Decimals (Part 1)

3. (a) 0.7 more than 18.9 is

.

(b) 0.5 less than 72.4 is

.

(c) 0.03 more than 43.15 is

.

(d) 0.04 less than 50.7 is

.

(e) 0.006 more than 35.735 is

.

(f) 0.008 less than 65.217 is

.

4. Complete the number patterns. (a) 5.7, 5.9,

,

(b) 14.52,  14.32,  (c) 23.419,  (d) 43.21,

,  6.5,   ,

,  13.72,

,  23.421,  23.422,   ,  43.31,  43.36,

,

,

W Do the following. 1. Circle the greatest number. (a) 0.08  ,  0.006  ,  0.008  ,  0.06 (b) 47.2  ,  47.02  ,  42.7  ,  42.07 (c) 3.28  ,  3.82  ,  3.802  ,  3.208 (d) 3 71   ,  731   ,  7 31   ,  7 31 1 00 1 000 1 00 1 000 2. Circle the smallest number. (a) 0.005  ,  0.009  ,  0.05  ,  0.09 (b) 37.1  ,  31.7  ,  37.01  ,  31.07 (c) 4.506  ,  4.605  ,  5.64  ,  4.56 (d) 9 4   ,  9 4   ,  940   ,  9 40 1 000 1 00 1 000 1 00 13

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Mathematics Primary 4B  Unit 9 Decimals (Part 1)

3. Arrange the decimals in ascending order. (a)

0.08

0.008

0.005

0.05

(b)

2.704

2.74

2.407

2.074

(c)

9.712

9.721

9.127

9.172

4. Arrange the decimals in descending order. (a)

9.01

1.09

9.10

1.90

(b)

8.436

8.346

8.463

8.643

(c)

13.704

13.407

13.74

13.47

14

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Mathematics Primary 4B  Unit 9 Decimals (Part 1)

X Do these. 1. Round off each number to the nearest whole number. (a) 8.25 ≈

(b) 26.82 ≈

(c) 0.51 ≈

(d) 17.648 ≈

2. Round off each number to 1 decimal place. (a) 12.35 ≈

(b) 48.31 ≈

(c) 39.085 ≈

(d) 62.439 ≈

3. Round off each number to the nearest tenth. (a) 7.35 ≈

(b) 56.708 ≈

(c) 84.072 ≈

(d) 70.555 ≈

4. Round off each number to 2 decimal places. (a) 6.485 ≈

(b) 12.264 ≈

(c) 83.496 ≈

(d) 51.073 ≈

5. Round off each number to the nearest hundredth. (a) 26.308 ≈

(b) 70.005 ≈

(c) 61.564 ≈

(d) 24.995 ≈

15

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