Skip to content
MathsGenie logo
Open app

Course home

  1. GCSE
  2. Maths Edexcel
  3. Revision guides

Exchange Rates



Different countries use different currencies:
The UK uses pounds (£)
The USA uses US Dollars ($)
Many counties in Europe use the Euro (€)

To convert between different currencies we use an exchange rate.

We need to be able to convert between different currencies using a given exchange rate.


If we are told the exchange rate is £1 = €1.15 it means that every 1 pound is worth 1.15 Euros.

If we wanted to change £250 into Euros we would need to calculate 250 × 1.15 to work out how many Euros we would get.

250 × 1.15 = 287.5

£250 = €287.50
We would get €287.50 in exchange for £250


If we want to convert €500 into pounds (and the exchange rate is still £1 = €1.15) we will have to calculate 500 ÷ 1.15

500 ÷ 1.15 = £434.78 (we always round money to 2 decimal places because we cannot have half a penny)

£434.78 = €500
We would get £434.78 in exchange for €500


Try these:

PreviousNext

How was this guide?

Teach Genie

Review Exchange Rates by teaching Genie

Teach it back in your own words, spot gaps, and remember it better.

Start teaching
Genie and Baby Genie

Lesson

Recap your knowledge with an interactive lesson

9 minute activity

Start lesson

Flowchart showing when to multiply or divide in exchange-rate questions, with branches for rates written as £1 = foreign currency and foreign currency 1 = pounds

A currency is the money used in a country, such as pounds, euros, or yen. An exchange rate tells you how much one currency is worth in another, for example £1 = €1.18.

The key question is always: what currency do you have, and what currency do you want? If £1 buys rrr units of a foreign currency, then

foreign amount=pounds×randpounds=foreign amount÷r \text{foreign amount} = \text{pounds} \times r \qquad \text{and} \qquad \text{pounds} = \text{foreign amount} \div r foreign amount=pounds×randpounds=foreign amount÷r

If you move in the same direction as the rate, multiply. If you are working backwards, divide.

Questions

Put it into practice with exam-style questions

68 exam-style questions

Practice questions

Question 1

4 marks

Beth goes on holiday to Spain.
The exchange rate is £1 = €1.13

Flashcards

Remember key concepts with flashcards

22 flashcards

Practice flashcards

An exchange rate tells you how much one currency is worth in [     ].

Exchange Rates Revision Guide

  1. GCSE
  2. /Maths
  3. /Exchange Rates

Revision notes for Edexcel GCSE Maths Exchange Rates. Open the guide for explanations and worked examples. Written against the Edexcel GCSE Maths (1MA1) specification, so the content matches what's examinable rather than general Maths background.

Revision guides

Practise questions

1 of 2

You change £72 into euros. The exchange rate is £1 = €1.25. How many euros do you get?

Practise questions

1 of 3

You have €95 left after a trip. The exchange rate is £1 = €1.18. How much is this in pounds to the nearest penny?

Practise questions

1 of 3

The exchange rate is £1 = €1.15. How many Euros would you get for £250?