year 8 maths

192 Chapter 3 Measurement and Pythagoras’ theorem
5 Find the volume of each prism, giving your answer in litres. Remember 1 L = 1000 cm 3 and
1 m 3 = 1000 L .
a
b
c
8 cm 3 cm 12 cm
40 cm
1 m
20 cm
10 cm
6 Find the volume of these cylinders, rounding the answer to two decimal places.
a
10 m
b
c 3 mm
14 cm
7.5 mm
8 m
20 cm
7 An oven is heated from 23°C to 310°C in 18 minutes and 37 seconds. It then cools by 239°C
in 1 hour, 20 minutes and 41 seconds.
a Give the temperature:
i increase ii decrease
b What is the total time taken to heat and cool the oven?
c How much longer does it take for the oven to cool down than heat up?
8 a What is the time difference between 4:20 a.m. and 2:37 p.m. of the same day?
b Write 2145 hours in a.m./p.m. time.
c Write 11:31 p.m. in 24 -hour time.
9 When it is 4:30 p.m. in Western Australia, state the time in each of these places.
a New South Wales b Adelaide c United Kingdom
d China e Finland f South Korea
g Russia (eastern tip) h New Zealand
10 Use Pythagoras’ theorem to find the length of the hypotenuse in these right-angled triangles.
Round the answer to two decimal places in part c .
a 8
b
7
c
c
c
6
c
24
3
11 Use Pythagoras’ theorem to find the unknown length in these right-angled triangles. Round
the answer to two decimal places in parts b and c .
a 8 b
c
20
17
8
5
23
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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