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614

5 √2

6 √7

7 a 24 cm 2 b 48 cm 2

8 63.66%

Multiple-choice questions

1 E 2 B 3 A 4 C 5 B

6 E 7 E 8 B 9 D 10 D

Short-answer questions

1 a 2000 mm b 0.5 km c 300 mm 2 d 0.4 m 2

e 10000 m 2 f 3.5 cm 2 g 0.4 L h 200 L

2 a 13 m b 28 cm c 25.13 m

d 51.42 mm e 48 m f 20 cm

3 a 55 cm 2 b 63 m 2 c 12 cm 2

d 136 km 2 e 64 m 2 f 20 cm 2

g 28.27 cm 2 h 12.57 m 2 i 3.84 cm 2

4 a 70 cm 2 b 50.14 cm 2 c 74 cm 2

5 a 1000 L b 8 L c 0.144 L

6 a 2513.27 m 3 b 3078.76 cm 3 c 212.06 mm 3

7 a i 287°C ii 239°C

b 1 h 39 min 18 s

c 1 h 2 min 4 s

8 a 10 h 17 min

b 9:45 p.m.

c 2331 hours

9 a 6:30 p.m. b 6 p.m. c 8:30 a.m.

d 4:30 p.m. e 10:30 a.m. f 5:30 p.m.

g 8:30 p.m. h 8:30 p.m.

10 a 10

b 25

c 4.24

11 a 15

b 6.24

c 11.36

Extended-response questions

1 a 12.86 cm 2

b 57.72 cm 2

c 57.72 m 2

d 6.28 cm 3

e 25.72 cm 3

f 38 with some remainder

2 a 2.8 m

b 24 m 2

c 23 m

d No, 4000 L short.

Chapter 4

Pre-test

1 a mixed numeral b proper

2 20

c improper

d improper

3 a 100 b 1 c 8 d 4

4 a 1 4

b 3 7

5 a D b C c E

d A

e B

6 a 3 4

b 1 c 1 2 3

d 0.6 e 1.2 f 3

7 a i

1

10

ii 0.1 b i 1 4

ii 0.25

c i

1

2

ii 0.5 d i 3 4

ii 0.75

8 a $5 b $6.60 c 0.8 km d 690 m

9 a 10 b 18 c 90 cents

10

3 1 3 2 99

Fraction

1

4 5 20 5 100

Exercise 4A

1 a 6, 20, 200 b 14, 40, 140

c 1, 6, 42 d 8, 3, 20

2 4 6 , 20

30 , 10

15

3 a false b true c true

d true e true f false

8

4 a

24

e 20

24

6

5 a

30

e 20

30

Decimal 0.75 0.2 0.15 0.4 0.99 1.0 1.6 2.0

Percentage 75% 20% 15% 40% 99% 100% 160% 200%

b

f

6

24

120

24

b 10

30

11

f

30

c 12

24

g 18

24

c 15

30

g 75

30

d 10

24

h 21

24

d 90

30

h 15

30

6 a 6 b 18 c 2 d 7

e 28 f 50 g 15 h 44

7 a 2, 3, 5, 10, 16, 25

b 6, 12, 30, 45, 150, 300

c 4, 6, 8, 14, 20, 30

8 a 6, 12, 24, 30, 75, 300

b 10, 15, 20, 25, 50, 60

c 8, 12, 28, 44, 80, 400

8

5

2

Cambridge Maths NSW

Stage 4 Year 8 Second edition

ISBN 978-1-108-46627-1 © Palmer et al. 2018

Cambridge University Press

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