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year 8 maths

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626

2 a 18.6 cm b 64 m c 40 m

Extended-response question

d 1.8 m e 4000 cm 3 f 10 000 m 2 6 a 545.9 b 1008 c 0.614

3 a i 25.13 m ii 50.27 m 2

a (7a + x ) cm

b i 47.12 cm ii 176.71 cm 2

b 6a 2 cm 2

4 a i 25.71 m ii 39.27 m 2

c x = 5a

b i 17.85 cm ii 19.63 cm 2

d 12a cm

c i 54.85 mm ii 169.65 mm 2

e 216 cm 2

5 a 30 m 2 b 48 m 2

6 a V = 74.088 m 3 b V = 50 m 3 c V = 24 m 3

Equations 2

7 a 615.75 m 3 b 392 699.08 cm 3

c 1.26 m

Multiple-choice questions

or 1 256 637.06 cm 3

8 a 13 b 14.42

1 B 2 D 3 E 4 C 5 B

9 a 1530 b 0735

Short-answer questions

Extended-response question

1 a w = 9 b m = 72 c x = 1 d a = 2

a 15 − 2x

e w = −3 f x = 35

b x

2 a m = − 1 b a = −1 c x = 0 d x = 15 c x (15 − 2x ) 2

2

8 d 169 m 3

e a = 13

8

f a = 7 5

e x = 2.5

3 6

4 4 years

Fractions, decimals, percentages and financial

5 a x = ±3 b x = ±6 c a = ±12 mathematics

d y = 0 e no solution f no solution Multiple-choice questions

6 a F = 30 b m = 4

1 D

Extended-response question

a C = 5n + 1500

b R = 17n

c 125

2 C

3 C

4 E

5 A

6 A

d P = 12n − 1500

e $900

Short-answer questions

f −$300 (a loss)

1 a 18 b 1 c 5

Measurement and Pythagoras’ theorem

Multiple-choice questions

2 a 1 b 7 c 3 1 d − 2

4

5

4

21

e 1 9

f

3

10

1 B 2 B 3 D 4 E 5 D

3 a 5 b 1 5

c

2

8

21

Short-answer questions

4 a 9 2

b 3 4

c 5 8

5 a 6.93 b 7.58 c 4.03 d 6.51

1 a 500 cm b 180 cm c 90 000 cm 2

e 3854.8 f 792

7

Fraction

1

4

1

2

1

5

1

3

Decimal 0.25 0.5 0.2 0.3 . 0.6 . 0.8 0.95 0.99 0.005

Percentage 25% 50% 20% 33.3 . % 66.6 . % 80% 95% 99% 0.5%

2

3

4

5

19

20

99

100

1

200

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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