CAMBRIDGE IGCSE MATHS (0580)

Question 1: Gregor changes $700 into euros (€) when the rate is €1 = $1.4131. Calculate the amount he receives.

Question 2: A lake has an area of 63,800,000,000 square metres. Write this area in square kilometres, correct to 2 significant figures.

Question 3: The train fare from Bangkok to Chiang Mai is 768 baht. The exchange rate is £1 = 48 baht. Calculate the train fare in pounds (£).

Question 4: Martina changed 200 Swiss francs (CHF) into euros (€). The exchange rate was €1 = 1.14 CHF. Calculate how much Martina received. Give your answer correct to the nearest euro.

Question 5: Sheila can pay her hotel bill in Euros (€) or Pounds (£). The bill was €425 or £365 when the exchange rate was £1 = €1.14. In which currency was the bill cheaper? Show all your working.

Question 6: The table below shows how the dollar-to-euro conversion rate changed during one day:

Time	10:00	11:00	12:00	13:00	14:00	15:00	16:00
$1 (€)	1.3311	1.3362	1.3207	1.3199	1.3200	1.3352	1.3401

Khalil changed $500 into euros (€). How many more euros did Khalil receive if he exchanged his money at the highest conversion rate compared to the lowest conversion rate?

Question 7: Write
(a) 60 square metres in square centimetres,
(b) 22 metres per second in kilometres per hour.

Question 8: Carlo changed 800 euros (€) into dollars for his holiday when the exchange rate was €1 = $1.50. His holiday was then cancelled. He changed all his dollars back into euros and he received €750. Find the new exchange rate.

Question 9: Chris changes $1350 into euros (€) when €1 = $1.313. Calculate how much he receives.

Question 10:

(a) Use your calculator to find the value of \( 7.5^{-0.4} \div \sqrt{57} \). Write down your full calculator display.

(b) Write your answer to part (a) in standard form.

Question 11: On a ship, the price of a gift is 24 euros (€) or $30. What is the difference in the price on a day when the exchange rate is €1 = $1.2378? Give your answer in dollars, correct to the nearest cent.

Question 12: For her holiday, Alyssa changed 2800 Malaysian Ringgits (MYR) to US dollars ($) when the exchange rate was 1 MYR = $0.325. At the end of her holiday she had $210 left.
(a) How many dollars did she spend?
(b) She changed the $210 for 750 MYR. What was the exchange rate in dollars for 1 MYR?

Question 13: $1 = 8.2 rand. Change $350 into rands.

Question 14: James buys a drink for 2 euros (E). Work out the cost of the drink in pounds (£) when £1 = E1.252. Give your answer correct to 2 decimal places.

Question 15: Carlos changed $950 into euros (€) when the exchange rate was €1 = $1.368. Calculate how many euros Carlos received.

Question 16: Omar changes 2000 Saudi Arabian riyals (SAR) into euros (€) when the exchange rate is €1 = 5.087 SAR. Work out how much Omar receives, giving your answer correct to the nearest euro.

Question 17: The price of a toy is 12 euros (€) in Germany and 14 Swiss francs (CHF) in Switzerland. The exchange rate is 1 Swiss franc = €0.905. Calculate the difference between these two prices. Give your answer in euros.

Question 18: Change 6200 cm² into m².

Question 19: George and his friend Jane buy copies of the same book on the internet. George pays $16.95 and Jane pays £11.99 on a day when the exchange rate is $1 = £0.626. Calculate, in dollars, how much more Jane pays.

Question 20: Jessica went to France and spent €480 during her trip. The exchange rate was €1 = £0.85. How much did Jessica spend in pounds (£)?

Question 21: A car in the UK costs £25,000. In Germany, the same car costs €28,750. The exchange rate is £1 = €1.15. Which country offers the car at a lower price in pounds? Show your working.

Question 22: A UK-based coffee shop imports coffee beans from Brazil. The price of coffee beans is $150 per 25 kg bag. The exchange rate is £1 = $1.25. Calculate the cost of 10 bags of coffee beans in pounds (£).

Question 23: An online store in the UK is selling a jacket for £85. The same jacket is sold in the USA for $115. The exchange rate is £1 = $1.35. What is the price difference between the UK and the USA, in pounds (£)?

Question 24: A bottle of wine costs £15 in the UK. The duty and VAT add an additional 35% to the price. Calculate the final price of the bottle of wine, including taxes.

Question 25: A British runner completed a 10-kilometre race in 45 minutes. Convert their speed into miles per hour (1 mile = 1.60934 km).