year 8 maths

256 Chapter 4 Fractions, decimals, percentages and financial mathematics
PROBLEM-SOLVING AND REASONING
8, 9, 13 8–11, 13, 14
10–12, 14, 15
Example 31
8 Gari buys a ticket to a concert for $90 , but is unable to go. She sells it to her friend for $72 .
Calculate the percentage loss Gari made.
9 Estelle purchased a piece of sporting memorabilia for $120 . Twenty years later she sells it for $900 .
Calculate the percentage profit Estelle has made.
10 Xavier purchased materials for $48 and made a dog kennel.
He later sold the dog kennel for $84 .
a Calculate the profit Xavier made.
b Calculate the percentage profit Xavier made.
11 Gemma purchased a $400 foal, which she later sold for $750 .
a Calculate the profit Gemma made.
b Calculate the percentage profit Gemma made.
12 Lee-Sen purchased a $5000 car, which she later sold for $2800 .
a Calculate Lee-Sen’s loss.
b Calculate Lee-Sen’s percentage loss.
13 Explain why an increase of 10% followed by a decrease of 10% on the new price gives an answer
that is less than the original amount.
14 Which of the following stores is offering a larger percentage discount?
Store A: Jeans originally selling for $60 , now on sale for $51
Store B: Jeans originally selling for $84 , now on sale for $73.50
15 The circulation of a student newspaper at Burrough
High School was 60 copies in Term 1, 120 copies
in Term 2, 200 copies in Term 3 and 360 copies in
Term 4 .
a Calculate the percentage growth in circulation
between:
i Term 1 and Term 2
ii Term 2 and Term 3
iii Term 3 and Term 4
b In which term was there the greatest percentage
growth in circulation?
c What was the overall percentage growth in circulation over the course of the year?
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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