Exchange Rates

Part ofMathsLooking after your finances

Currency

The currency used in the UK is Pounds Sterling (£s) - people in the UK are paid in £s and we buy and sell goods in £s.

Other currencies that you might be familiar with are the Euro (€) which is used in most of the EU countries and the US Dollar ($).

If you are buying something in Spain for example, you must pay in Euros but you will want to know how many £s you are actually spending.

To calculate this we use the exchange rate.

This tells us how many Euros are equivalent to \(£1\).

The exchange rate between currencies changes all the time depending on the financial situations in different countries.

Example 1

Shannon is going on holiday to Spain.

She wants to have some cash for spending so she changes \(£150\) to Euro.

The exchange rate is \(\pounds 1 = \euro 1.13.\)

How many Euro does she get?

\(\pounds 1 = \euro 1.13\)

\(\pounds 150 = \euro 1.13 \times 150\)

\(= \euro 169.50\)

Shannon gets \( \euro 169.50\).

On a calculator the answer will be \(169.5\) but it is important to add a zero as there are 100 cents in a Euro.

Question

Nadiya is from New York and is on holiday in the UK.

She spends \(£35\) in a restaurant.

How many US dollars has she spent?

The exchange rate is \(£1 = $1.37\).

Example 2

Marcus is on holiday in Spain.

He buys sun cream costing \(\euro 10\).

The Exchange Rate is \(\pounds 1 = \euro 1.13\).

How much has Marcus spent in £s?

\(\euro 1.13 = \pounds 1\)

\(\euro 1 = \pounds 1 \div 1.13\)

\(\euro 10 = \pounds 1 \div 1.13 \times 10\) (This is the same as \(10 \div 1.13\))

\(= 8.8495575 = \pounds 8.85\) (nearest penny)

Key points

To change from £s to a foreign currency, multiply by the exchange rate.

To change from a foreign currency to £s, divide by the exchange rate.

Question

Jayden is shopping in Dublin.

He spends \(\euro 52.99\) on a sports top.

How much has he spent in £s?

The exchange rate is \(\pounds 1 = \euro 1.10\).

WATCH: What are exchange rates?

Different currencies around the world mean exchange rates are key when spending your money in another country.

Travel around the world with a modern-day Nellie Bly to discover how exchange rates can affect your power to buy in different countries.

Watch as she uses the exchange rate in each country to work out how much she has to pay and how much she can afford.

Game - Converting time and money

Practise your converting money and time skills with these puzzles on our Divided Islands game.

Play the full Divided Islands game.

Test section

Question 1

The exchange rate for the US dollar is \(£1 = $1.41\).

Molly changes \(£75\) into dollars.

How many dollars does she receive?

Question 2

Oliver is going to Mexico for a holiday.

He has \(£250\) to change into Mexican Pesos ($).

How many Pesos will he receive?

\(£1 = 27.18\) Mexican Pesos ($).

Question 3

Jayden comes back from a shopping trip to Dublin with \(\euro 23\) in his wallet.

How may £’s is this if the exchange rate is \(£1 = \euro 1.15\).

Question 4

Caitlin has a summer job in County Galway.

She earns \(\euro 9.50\) per hour and works for \(26\) hours.

Her employer tells her that \(\euro 1 = \pounds 0.89\).

How much has she earned in £s?

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