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Exchange rates Quiz

Grade 3 • 3J • 10 Questions (30 Marks)

Score: 0 / 10
Exchange rates — Notes & Worked Examples Show / Hide

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
Question 1
[1 mark]
Convert £350 into Euros using the exchange rate £1 = €1.25
€
Worked Solution & Answer
Multiply by the exchange rate to convert from the 1 unit currency; divide by the exchange rate to convert back.
€437.50
Answer: € €437.50
Question 2
[1 mark]
Convert $800 into Pounds (£) using the exchange rate £1 = $1.40
£
Worked Solution & Answer
Multiply by the exchange rate to convert from the 1 unit currency; divide by the exchange rate to convert back.
£571.43
Answer: £ £571.43
Question 3
[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 & Answer
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)
Question 4 IGCSE Jun 2021 2F Q6
[3 marks]
The cost of a mobile phone in the UK is £350
The cost of an identical mobile phone in India is 28 938 rupees.
The exchange rate is £1 = 91 rupees.
The cost of the mobile phone in the UK is more than the cost of the mobile phone in India.
Work out how much more.
£
Worked Solution & Answer
£350 × 91 = 31 850 rupees M1
31 850 − 28 938 = 2912 rupees (or 28 938 ÷ 91 = £318 M1
£350 − £318 = £32) A1
Answer: £ £32 (or 2912 rupees)
Question 5 IGCSE Jun 2025 1FR Q12
[3 marks]
A shop accepts payment in pounds (£) or in Swiss francs.
In the shop, a shirt costs £35 or 42 Swiss francs.
The cost of a jacket is £54
Alex works out the cost of the jacket in Swiss francs.
She uses the same exchange rate that was used for the cost of the shirt.
What is the cost of the jacket in Swiss francs?
Swiss francs
Worked Solution & Answer
42 ÷ 35 = 1.2 Swiss francs per £1 M2
54 × 1.2 = 64.8 (or 64.80) Swiss francs. A1
Answer: 64.80 Swiss francs
Question 6 IGCSE Jun 2022 2F Q12
[3 marks]
Ingrid buys a bag in Sweden.
The price of the bag is 1342 Swedish Krona.
The price of an identical bag in Finland is 125 euros.
Using an exchange rate of
1 euro = 11 Swedish Krona
work out how much cheaper the bag is in Sweden than it is in Finland.
You must give the units of your answer.
Worked Solution & Answer
1342 ÷ 11 = 122 euros M1
125 – 122 = 3 euros (or 125 × 11 = 1375 Krona M1
1375 – 1342 = 33 Swedish Krona) A1
Answer: 3 euros (or 33 Swedish Krona)
Question 7 IGCSE Jun 2023 2F Q14
[3 marks]
1 dollar = 0.85 euros1 dollar = 6.45 yuan
14 1 dollar = 0.85 euros; 1 dollar = 6.45 yuan. (a) Change 720 dollars to euros. (1) (b) Change 2580 yuan to euros. (2)
(a) Change 720 dollars to euros. [1 mark]
euros
(b) Change 2580 yuan to euros. [2 marks]
euros
Worked Solution & Answer
(a)
720 × 0.85 = 612 euros B1
Answer (a): 612 euros
(b)
2580 ÷ 6.45 = 400 dollars M1
400 × 0.85 = 340 euros A1
Answer (b): 340 euros
Question 8 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?
euros
Worked Solution & Answer
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
Question 9 IGCSE Nov 2021 1F Q5
[4 marks]
James is on holiday in Canada.
The exchange rate is £1 = 1.75 Canadian dollars.
(a) Change £800 into Canadian dollars. [2 marks]
Canadian dollars
(b) Work out the difference in the prices of the two watches.
Give your answer in pounds (£)
[2 marks]
£
Worked Solution & Answer
(a)
800 × 1.75 = 1400 CAD M1 A1
Answer (a): 1400 Canadian dollars
(b)
98 ÷ 1.75 = £56 M1
60 – 56 = £4 A1
Answer (b): £ 4
Question 10 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]
£
(b) £10 to Canadian dollars. [1 mark]
Canadian dollars
(b) Change 528 euros to Canadian dollars. [3 marks]
Canadian dollars
Worked Solution & Answer
(a)
At 46 CAD, £ = 25 B1
Answer (a): £ 25
(b)
At £10, CAD = 18 (or 18.3) B1
Answer (b): 18 Canadian dollars
(b)
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
Score: 0 / 10 (0 / 30 marks)
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