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240 Chapter 4 Fractions, decimals, percentages and financial mathematics

11 Find:

a 20% of 90 minutes b 15% of $5 c 30% of 150 kg

d 5% of 1.25 litres e 40% of 2 weeks f 75% of 4.4 km

PROBLEM-SOLVING AND REASONING 12, 13, 17 13–15, 17, 18

14–16, 18–20

12 Find:

a

33 1 % of 16 litres of orange juice

3

b 66 2 % of 3000 marbles

3

c

12 1 % of a $64 pair of jeans

2

d 37.5% of 120 donuts

13 In a survey, 35% of respondents said they felt a penalty was too lenient and 20% felt it was too

harsh. If there were 1200 respondents, how many felt the penalty was appropriate?

14 Four students completed four different tests. Their results were:

Maeheala: 33 out of 38 marks

Wasim: 16 out of 21 marks

Francesca: 70 out of 85 marks

Murray: 92 out of 100 marks

Rank the students in decreasing order of test percentage.

15 Jasper scored 22 of his team’s 36 points in the basketball

final. What percentage of the team’s score did Jasper

shoot? Express your answer as a fraction and as a

recurring decimal.

16 Due to illness, Vanessa missed 15 days of the 48 school

days in Term 1 . What percentage of classes did Vanessa

attend in Term 1 ?

17 Eric scored 66% on his most recent Mathematics test. He has studied hard and is determined to

improve his score on the next topic test, which will be out of 32 marks. What is the least number of

marks Eric can score to improve on his previous test score?

18 Calculate 40% of $60 and 60% of $40 . What do you notice? Can you explain your findings?

19 Which of the following alternatives would calculate a% of b ?

100

ab

a

A

B

C

ab

100

100b

20 Which of the following alternatives would express x as a percentage of y ?

100

xy

x

A

B

C

xy

100

100y

D

D

100a

b

100x

y

Cambridge Maths NSW

Stage 4 Year 8 Second edition

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

Cambridge University Press

Photocopying is restricted under law and this material must not be transferred to another party.

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