Exchange Rates
Question 11 mark
The exchange rate is £1 = 1.20 euros.
Change £50 into euros.
Hint
Each pound is worth 1.20 euros, so you will get more euros than pounds.
Worked solution
The exchange rate is £1 = 1.20 euros.
Change £50 into euros.
- Multiply the number of pounds by 1.20.
- 50\times1.20=60, so £50 = 60 euros.
Question 22 marks
The exchange rate is £1 = 1.25 dollars.
Change 100 dollars into pounds.
Hint
You get fewer pounds than dollars, so divide rather than multiply.
Worked solution
The exchange rate is £1 = 1.25 dollars.
Change 100 dollars into pounds.
- Each £1 is worth 1.25 dollars, so divide the dollars by 1.25.
- 100\div1.25=80, so 100 dollars = £80.
Question 32 marks
Ella changes £240 into euros before her holiday in Spain.
She gets 1.15 euros for every £1.
How many euros does Ella get?
Hint
Multiply the number of pounds by the number of euros you get for £1.
Worked solution
Ella changes £240 into euros before her holiday in Spain.
She gets 1.15 euros for every £1.
How many euros does Ella get?
- Each £1 gives 1.15 euros.
- 240\times1.15=276, so Ella gets 276 euros.
Question 42 marks
The exchange rate is 1 euro = £0.85
Change 60 euros into pounds.
Hint
This rate tells you how many pounds one euro is worth.
Worked solution
The exchange rate is 1 euro = £0.85
Change 60 euros into pounds.
- Each euro is worth £0.85, so multiply the number of euros by 0.85.
- 60\times0.85=51, so 60 euros = £51.
Question 52 marks
Sam changed £200 into Swiss francs. He got 230 Swiss francs.
Complete the exchange rate: £1 = ........ Swiss francs.
Hint
Work out how many Swiss francs Sam got for each pound.
Worked solution
Sam changed £200 into Swiss francs. He got 230 Swiss francs.
Complete the exchange rate: £1 = ........ Swiss francs.
- Share the Swiss francs equally between the pounds: 230\div200.
- 230\div200=1.15, so £1 = 1.15 Swiss francs.
Question 62 marks
You can use this graph to change between pounds (£) and euros.
Use the graph to change £35 into euros.
1 mark
Use the graph to change 54 euros into pounds.
1 mark
Hint
Work out what one small square is worth on each axis before you read the graph.
Worked solution
You can use this graph to change between pounds (£) and euros.
Part (a)
Use the graph to change £35 into euros.
- Go up from £35 to the line, then across to the euros axis.
- Each small square on the euros axis is 6 euros. The reading is 42 euros.
Part (b)
Use the graph to change 54 euros into pounds.
- Go across from 54 euros to the line, then down to the pounds axis.
- Each small square on the pounds axis is £5. The reading is £45.
Question 72 marks
You can use this graph to change between pounds (£) and US dollars.
Use the graph to change 35 US dollars into pounds.
1 mark
Which is worth more, £30 or 40 US dollars?
1 mark
Hint
Each small square is worth £4 across and 5 US dollars up.
Worked solution
You can use this graph to change between pounds (£) and US dollars.
Part (a)
Use the graph to change 35 US dollars into pounds.
- Go across from 35 dollars to the line, then down to the pounds axis.
- Each small square on the pounds axis is £4. The reading is £28.
Part (b)
Which is worth more, £30 or 40 US dollars?
- £30
- 40 US dollars
- They are worth the same
- From the graph, 40 US dollars is worth £32.
- £32 is more than £30, so 40 US dollars is worth more.
Question 82 marks
A jacket costs 89 euros in Paris.
The exchange rate is £1 = 1.17 euros.
Work out the cost of the jacket in pounds. Give your answer to the nearest penny.
Hint
You should get fewer pounds than euros.
Worked solution
A jacket costs 89 euros in Paris.
The exchange rate is £1 = 1.17 euros.
Work out the cost of the jacket in pounds. Give your answer to the nearest penny.
- Divide the euros by the rate: 89\div1.17=76.068...
- To the nearest penny, the jacket costs £76.07.
Question 93 marks
In New York, Maya buys a T-shirt for 18 US dollars, a cap for 12.50 US dollars and a mug for 9.50 US dollars.
The exchange rate is £1 = 1.25 US dollars.
Work out the total cost of the three items in pounds.
Hint
Find the total in dollars first, then change it into pounds.
Worked solution
In New York, Maya buys a T-shirt for 18 US dollars, a cap for 12.50 US dollars and a mug for 9.50 US dollars.
The exchange rate is £1 = 1.25 US dollars.
Work out the total cost of the three items in pounds.
- Total in dollars: 18+12.50+9.50=40 dollars.
- 40\div1.25=32, so the total is £32.
Question 102 marks
Priya changes £300 into euros. The exchange rate is £1 = 1.15 euros.
On holiday she spends 280 euros.
How many euros does Priya have left?
Hint
Work out how many euros Priya gets for her £300 first.
Worked solution
Priya changes £300 into euros. The exchange rate is £1 = 1.15 euros.
On holiday she spends 280 euros.
How many euros does Priya have left?
- 300\times1.15=345 euros.
- 345-280=65, so Priya has 65 euros left.
Question 113 marks
Tom takes 30\,000 yen on a holiday to Japan. He spends 20\,400 yen.
When he gets home, he changes the yen he has left back into pounds.
The exchange rate is £1 = 192 yen.
How many pounds does Tom get?
Hint
Find how many yen Tom has left, then divide by the number of yen in £1.
Worked solution
Tom takes 30\,000 yen on a holiday to Japan. He spends 20\,400 yen.
When he gets home, he changes the yen he has left back into pounds.
The exchange rate is £1 = 192 yen.
How many pounds does Tom get?
- Yen left: 30\,000-20\,400=9600 yen.
- 9600\div192=50, so Tom gets £50.
Question 123 marks
A pair of headphones costs £84 in the UK.
The same headphones cost 99 euros in Ireland.
The exchange rate is £1 = 1.15 euros.
In which country are the headphones cheaper?
1 mark
How much cheaper are they, in pounds? Give your answer to the nearest penny.
2 marks
Hint
Change the price in euros into pounds so that both prices are in the same currency.
Worked solution
A pair of headphones costs £84 in the UK.
The same headphones cost 99 euros in Ireland.
The exchange rate is £1 = 1.15 euros.
Part (a)
In which country are the headphones cheaper?
- the UK
- Ireland
- 99\div1.15=86.086..., so the headphones cost about £86.09 in Ireland.
- £84 is less than £86.09, so they are cheaper in the UK.
Part (b)
How much cheaper are they, in pounds? Give your answer to the nearest penny.
- 86.086...-84=2.086...
- They are £2.09 cheaper in the UK.
Question 133 marks
Lena is going to a music festival in Belgium.
Her train ticket costs £96.
Her festival ticket costs 245 euros. Camping at the festival costs 18 euros per night, and she camps for 3 nights.
The exchange rate is £1 = 1.18 euros.
Work out the total cost of the train ticket, the festival ticket and the camping in pounds. Give your answer to the nearest penny.
Hint
Add up the costs in euros, change that total into pounds, then add the train ticket.
Worked solution
Lena is going to a music festival in Belgium.
Her train ticket costs £96.
Her festival ticket costs 245 euros. Camping at the festival costs 18 euros per night, and she camps for 3 nights.
The exchange rate is £1 = 1.18 euros.
Work out the total cost of the train ticket, the festival ticket and the camping in pounds. Give your answer to the nearest penny.
- Camping: 18\times3=54 euros.
- Costs in euros: 245+54=299 euros.
- 299\div1.18=253.389... pounds.
- 96+253.389...=349.389...
- The total cost is £349.39.
Question 144 marks
Kai has £180. He wants to change as much of it as he can into 20-euro notes.
The exchange rate is £1 = 1.16 euros.
How many 20-euro notes can Kai get?
2 marks
How many pounds does Kai pay for these notes? Give your answer to the nearest penny.
2 marks
Hint
Only whole notes can be given, so round down.
Worked solution
Kai has £180. He wants to change as much of it as he can into 20-euro notes.
The exchange rate is £1 = 1.16 euros.
Part (a)
How many 20-euro notes can Kai get?
- £180 is worth 180\times1.16=208.8 euros.
- 208.8\div20=10.44, so Kai can get 10 whole notes.
Part (b)
How many pounds does Kai pay for these notes? Give your answer to the nearest penny.
- 10 notes are 10\times20=200 euros.
- 200\div1.16=172.413..., so Kai pays £172.41.
Question 153 marks
Ana changes £500 into euros at a travel agent.
The travel agent first takes a fee of 2\% of the £500.
The rest of the money is changed into euros at £1 = 1.14 euros.
How many euros does Ana get?
Hint
Take the fee off the pounds before you change the money into euros.
Worked solution
Ana changes £500 into euros at a travel agent.
The travel agent first takes a fee of 2\% of the £500.
The rest of the money is changed into euros at £1 = 1.14 euros.
How many euros does Ana get?
- Fee: 2\% of £500 =0.02\times500= £10.
- £500 − £10 = £490 is changed.
- 490\times1.14=558.6, so Ana gets 558.60 euros.
Question 16Challenge3 marks
You can use this graph to change between pounds (£) and Canadian dollars.
A hotel in Toronto costs 540 Canadian dollars for a weekend.
Use the graph to work out the cost of the hotel in pounds.
Hint
540 is off the graph, so read the value of a smaller amount that goes into 540 exactly.
Worked solution
You can use this graph to change between pounds (£) and Canadian dollars.
A hotel in Toronto costs 540 Canadian dollars for a weekend.
Use the graph to work out the cost of the hotel in pounds.
- From the graph, 54 Canadian dollars is worth £30.
- 540=10\times54.
- So 540 Canadian dollars is worth 10\times30= £300.
Question 17Challenge4 marks
Jade is choosing between two summer jobs.
A shop in Leeds pays £10.85 per hour.
A hotel in Spain pays 378 euros for a 30-hour week.
The exchange rate is £1 = 1.15 euros.
Work out the hotel's rate of pay per hour in pounds. Give your answer to the nearest penny.
3 marks
Which job has the greater rate of pay per hour?
1 mark
Hint
Change the hotel's weekly pay into pounds, then find the pay for one hour.
Worked solution
Jade is choosing between two summer jobs.
A shop in Leeds pays £10.85 per hour.
A hotel in Spain pays 378 euros for a 30-hour week.
The exchange rate is £1 = 1.15 euros.
Part (a)
Work out the hotel's rate of pay per hour in pounds. Give your answer to the nearest penny.
- Weekly pay in pounds: 378\div1.15=328.695...
- Per hour: 328.695...\div30=10.956...
- To the nearest penny, the hotel pays £10.96 per hour.
Part (b)
Which job has the greater rate of pay per hour?
- the shop in Leeds
- the hotel in Spain
- £10.96 is more than £10.85, so the hotel in Spain pays more per hour (by 11p).
Question 18Challenge4 marks
In the UK, a pack of 6 batteries costs £4.50
In the USA, a pack of 16 of the same batteries costs 13.60 US dollars.
The exchange rate is £1 = 1.25 US dollars.
Work out the difference between the cost of one battery in the UK and the cost of one battery in the USA. Give your answer in pence.
Hint
Work out the cost of one battery in pounds in each country.
Worked solution
In the UK, a pack of 6 batteries costs £4.50
In the USA, a pack of 16 of the same batteries costs 13.60 US dollars.
The exchange rate is £1 = 1.25 US dollars.
Work out the difference between the cost of one battery in the UK and the cost of one battery in the USA. Give your answer in pence.
- UK: 4.50\div6=0.75, so one battery costs £0.75.
- USA: 13.60\div1.25=10.88 pounds for 16 batteries.
- 10.88\div16=0.68, so one battery costs £0.68.
- 0.75-0.68=0.07, so one battery is 7p cheaper in the USA.
Question 19Challenge4 marks
Ravi wants to change £400 into euros. He can go to Bureau A or Bureau B.
Bureau A: £1 = 1.18 euros, no fee.
Bureau B: £1 = 1.22 euros, but a fee of £12 is taken from the £400 first.
Which bureau gives Ravi more euros?
1 mark
How many more euros does that bureau give?
3 marks
Hint
Work out the number of euros Ravi would get from each bureau.
Worked solution
Ravi wants to change £400 into euros. He can go to Bureau A or Bureau B.
Bureau A: £1 = 1.18 euros, no fee.
Bureau B: £1 = 1.22 euros, but a fee of £12 is taken from the £400 first.
Part (a)
Which bureau gives Ravi more euros?
- Bureau A
- Bureau B
- Bureau A: 400\times1.18=472 euros.
- Bureau B: 400-12=388 pounds are changed, and 388\times1.22=473.36 euros.
- 473.36 is more than 472, so Bureau B gives more euros.
Part (b)
How many more euros does that bureau give?
- 473.36-472=1.36
- Bureau B gives 1.36 euros more.
Question 20Challenge5 marks
Ben changes £500 into euros at £1 = 1.17 euros.
His trip is cancelled, so he changes all the euros back into pounds.
This time the exchange rate is £1 = 1.23 euros.
How much money does Ben lose? Give your answer in pounds to the nearest penny.
3 marks
What percentage of his £500 does Ben lose? Give your answer to 1 decimal place.
2 marks
Hint
Change the pounds into euros at the first rate, then the euros back into pounds at the second rate.
Worked solution
Ben changes £500 into euros at £1 = 1.17 euros.
His trip is cancelled, so he changes all the euros back into pounds.
This time the exchange rate is £1 = 1.23 euros.
Part (a)
How much money does Ben lose? Give your answer in pounds to the nearest penny.
- £500 gives 500\times1.17=585 euros.
- 585 euros gives back 585\div1.23=475.609... pounds.
- 500-475.609...=24.390..., so Ben loses £24.39.
Part (b)
What percentage of his £500 does Ben lose? Give your answer to 1 decimal place.
- 24.390...\div500\times100=4.878...\%
- To 1 decimal place, Ben loses 4.9\%.