year 8 maths

4G
Finding a percentage and expressing as a percentage
239
Example 22
3 Express each of the following as a percentage.
a 20 out of 25 b 13 out of 20 c 39 out of 50
d 12 out of 40 e 26 out of 130 f 44 out of 55
g 24 out of 60 h 6 out of 16 i 11 out of 30
j 85 out of 120 k 17 out of 24 l 34 out of 36
4 Express the first quantity as a percentage of the second quantity, giving answers in fractional form
where appropriate.
a 3, 10 b 9, 20 c 25, 80 d 15, 18
e 64, 40 f 82, 12 g 72, 54 h 200, 75
5 Express the first quantity as a percentage of the second quantity, giving answers in decimal form,
correct to two decimal places where appropriate.
a 2, 24 b 10, 15 c 3, 7 d 18, 48
e 56, 35 f 15, 12 g 9, 8 h 70, 30
Example 23
6 Express:
a 40 cents as a percentage of $8
b 50 cents as a percentage of $2
c 3 mm as a percentage of 6 cm
d 400 m as a percentage of 1.6 km
e 200 g as a percentage of 5 kg
f 8 km as a percentage of 200 m
g 1.44 m as a percentage of 48 cm
h $5.10 as a percentage of 85 cents
7 Express each quantity as a percentage of the total.
a 28 laps of a 50 -lap race completed
b saved $450 towards a $600 guitar
c 172 fans in a train carriage of 200 people
d level 7 completed of a 28-level video game
e 36 students absent out of 90 total
f 14 km mark of a 42 km marathon
8 Copy and complete the following sentences.
a Finding 1% of a quantity is the same as dividing the quantity by ______.
b Finding 10% of a quantity is the same as dividing the quantity by ______.
c Finding 20% of a quantity is the same as dividing the quantity by ______.
d Finding 50% of a quantity is the same as dividing the quantity by ______.
Example 24a
Example 24b
9 Find:
a 50% of 36 b 20% of 45 c 25% of 68 d 32% of 50
e 5% of 60 f 2% of 150 g 14% of 40 h 70% of 250
i 15% of 880 j 45% of 88 k 80% of 56 l 92% of 40
10 Find:
a 130% of 10 b 200% of 40 c 400% of 25 d 155% of 140
e 125% of 54 f 320% of 16 g 105% of 35 h 118% of 60
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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