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216 Chapter 4 Fractions, decimals, percentages and financial mathematics

14 Complete the following magic square using a mixture of fractions and decimals.

4

2.6 1

5

6

2

4.2

ENRICHMENT

– –

15

Exchange rates

15 The table below shows a set of exchange rates between the US dollar (US$), the Great Britain

pound (£), the Canadian dollar (C$), the euro (€ ) and the Australian dollar (A$).

US$ £ C$ € A$

US$ 1 1.58781 0.914085 1.46499 0.866558

£ 0.629795 1 0.575686 0.922649 0.545754

C$ 1.09399 1.73705 1 1.60269 0.948006

€ 0.682594 1.08383 0.623949 1 0.591507

A$ 1.15399 1.83232 1.05484 1.69059 1

The following two examples are provided to help you to interpret the table.

• A$1 will buy US$0.866 558 .

• You will need A$1.15 399 to buy US$1 .

Study the table and answer the following questions.

a How many euros will A$100 buy?

b How many A$ would buy £100 ?

c Which country has the most similar currency rate to Australia?

d Would you prefer to have £35 or € 35 ?

e C$1 has the same value as how many US cents?

f If the cost of living was the same in each country in terms of each country’s own currency, list

the five money denominations in descending order of value for money.

g A particular new car costs £30 000 in Great Britain

and $70 000 in Australia. If it costs A$4500 to freight

a car from Great Britain to Australia, which car is

cheaper to buy? Justify your answer by using the

exchange rates in the table.

h Research the current exchange rates and see how they compare to those listed in the table.

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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