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Exchange rates

Free Printable Exchange rates PDF Worksheets, Revision Guide & GCSE Past Paper Questions (Grade 3)

Download free exchange rates worksheets (PDF), GCSE maths past paper questions and worked solutions for Exchange rates (3J). This is a Grade 3 ratio & proportion topic from the GCSE questions by topic collection for Foundation and Higher tier GCSE Maths (Edexcel, AQA, OCR and IGCSE).

The free PDF worksheets table below brings together printable question booklets (Qs) and worked answers or mark schemes (Ans) from Maths Genie, Corbett Maths, Maths4EveryOne, Maths DIY, Maths Takeaway, Dr Austin, Dr Frost (B. Blocks), GCSE Maths Rocket, E Classroom and PMT, along with past paper question booklets.

Below the worksheet links you can read our exchange rates revision notes and worked examples with diagrams, try real GCSE past paper exchange rates questions with step-by-step solutions, or download a PDF of all exchange rates worksheet links.

Free Exchange rates PDF Worksheets & Answers

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GCSE Maths Grade 3 Revision Notes & Method

Guide to Exchange rates: Explanation, Diagrams & Worked Examples

Download Printable One Page Guide (PDF)

Explanation:

An exchange rate tells you how much of a foreign currency is equal to £1 (for example, £1 = $1.25 or £1 = €1.16). To convert from £1 into the foreign currency, multiply by the exchange rate.

To convert back from the foreign currency into £, divide by the exchange rate. When comparing prices of an item in two different countries, convert both prices into the same currency first, then subtract to find the difference.

Example 1: The exchange rate is £1 = €1.15.
(a) Change £320 into euros.
(b) Change €299 into pounds.

Solution:

(a) £ to € (multiply): 320 × 1.15 = €368
(b) € to £ (divide): 299 ÷ 1.15 = £260
Answer: (a) €368   (b) £260

Example 2: A watch costs £140 in London and $189 in New York. Given £1 = $1.26, where is the watch cheaper and by how much in £?

Solution:

Convert $189 to £: 189 ÷ 1.26 = £150
Difference: £150 − £140 = £10
Answer: London is cheaper by £10
Scanned GCSE Exam Questions & Worked Solutions

GCSE Past Paper Exchange rates Questions & Answers

Past Paper Example 1 IGCSE Jan 2022 2F Q13 5 marks
Here is a conversion graph to change between Canadian dollars and pounds (£)
0102030405060102030Canadian dollarspounds (£)
(a) 46 Canadian dollars to pounds (£) [1 mark]
£10 to Canadian dollars. [1 mark]
(b) Change 528 euros to Canadian dollars. [3 marks]
Worked Solution & Mark Scheme (5 marks)
Part (a) Solution:
At 46 CAD, £ = 25 B1
Answer (a): £ 25
Part Solution:
At £10, CAD = 18 (or 18.3) B1
Answer : 18 Canadian dollars
Part (b) Solution:
528 ÷ 1.2 = £440 M2
From graph, £30 = 55 CAD (or £11 = 20 CAD), so £440 = (440 ÷ 11) × 20 = 800 CAD (or 770–880) A1
Answer (b): 800 Canadian dollars
Past Paper Example 2 IGCSE Jun 2023 2FR Q7 4 marks
Gerhard is travelling from Zurich to Munich.
The table shows the exchange rate in each city.
ZurichMunich1 Swiss franc = 0.90 euros1 euro = 1.08 Swiss francs
Gerhard wants to change 1620 Swiss francs to euros.
He would receive more euros if he changes his Swiss francs in Munich than he would receive if he changes his Swiss francs in Zurich.
How many more?
Worked Solution & Mark Scheme (4 marks)
In Zurich: 1620 × 0.90 = 1458 euros M2
In Munich: 1620 ÷ 1.08 = 1500 euros M1
Difference = 1500 – 1458 = 42 euros A1
Answer: 42 euros
Past Paper Example 3 GCSE Nov 2024 2F Q22 / 2H Q3 3 marks
Choci bar200 g£3.50LondonChoci bar360 g7.20 Swiss francsZurich
In London, a 200 g Choci bar costs £3.50. In Zurich, a 360 g Choci bar costs 7.20 Swiss francs. £1 = 1.25 Swiss francs. In which city is the Choci bar better value for money?
In London, a 200 g Choci bar costs £3.50
In Zurich, a 360 g Choci bar costs 7.20 Swiss francs.
The exchange rate is £1 = 1.25 Swiss francs.
In which city is the Choci bar the better value for money, in London or in Zurich?
You must show how you get your answer.
Worked Solution & Mark Scheme (3 marks)
7.20 ÷ 1.25 = £5.76 M2
£5.76 ÷ 360 = 1.6p per gram vs £3.50 ÷ 200 = 1.75p per gram ⇒ Zurich A1
Answer: Zurich (London = 1.75p/g; Zurich = £5.76 for 360 g = 1.6p/g)

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