AQA GCSE Maths

Revision Notes

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(Exchange Rates and Best Buys)

What are Exchange rates?

Exchange Rates

What Are Exchange Rates?

Exchange rates are used to compare and convert between different currencies. They determine how much one unit of currency is worth in another.

Example Exchange Rate:

  • 1 British Pound (£1.00\pounds 1.00) = 1.17 Euros (€1.17)
  • 1 US Dollar ($1.00\$ 1.00) = 155.62 Japanese Yen (¥155.62\yen 155.62)
  • 1 Australian Dollar (A$1.00\$ 1.00) = 102.09 Japanese Yen (¥102.09\yen 102.09)

Exchange rates fluctuate daily based on global financial markets.

 

How to Convert Between Currencies

To convert between currencies, use the exchange rate provided.

Converting from One Currency to Another

  1. To convert from the base currency, multiply by the exchange rate.
  2. To convert to the base currency, divide by the exchange rate.

Example 1: Converting GBP to EUR

  • Exchange rate: £1\pounds 1 = €1.17
  • Convert £28\pounds 28 to Euros: 28×1.17=32.7628 \times 1.17 = 32.76

 

Final Answer: €32.76

 

Example 2: Converting EUR to GBP

  • Exchange rate: £1 = €1.17
  • Convert €75 to Pounds: 75÷1.17=64.1075 \div 1.17 = 64.10

 

Final Answer: £64.10\pounds 64.10 (rounded to the nearest penny)

 

 

 

Worked Example

On a particular day:

1 US Dollar ($1\$1) = 155.62 Japanese Yen (¥\yen)

1 Australian Dollar (A$1\$1) = 102.09 Japanese Yen (¥\yen)

An item costs $40\$40 USD. Find the cost in Australian Dollars (A$\$).

 

 

 

 

Tuity Tip

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Always check the exchange rate carefully—ensure you are using the correct direction of conversion.

Use multiplication to convert from the base currency and division to convert back.

Round to two decimal places when dealing with money.

For multi-step conversions, always convert to a common currency (e.g., JPY) before converting to the final currency.

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