Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 9
105 practice questions
Topics covered
Practice questions
11–20 of 105
Question 11
4 marks · Normal
Answer and see the solution →A coffee shop sells hot chocolate in three cup sizes:
Size Volume (ml) Price ($) Small 180 2.40 Medium 240 3.20 Large 350 4.90 Work out, giving your answers to 2 decimal places, which cup size gives the best value for money. Show all your calculations.
(a)[2 marks]Calculate the price per 100 ml for each cup size.
(b)[2 marks]Which cup size offers the best value for money?
Question 12
4 marks · Normal
Answer and see the solution →The following people work in the country of Kalculus, with tax bands as below:
Band Salary (p.a.) Tax rate A $0–$50,000 20% B >$50,000 40% Salary data Person Annual salary ($) Jonas 44,000 Amira 76,000 Lola 129,000 Complete the table below by calculating the annual income tax for each person.
Question 13
2 marks · Normal
Answer and see the solution →The current exchange rate is $1 = 199.25 Nigerian naira (₦). How many US dollars can you get in exchange for ₦59,775? Give your answer to the nearest dollar.
Question 14
3 marks · Normal
Answer and see the solution →Two brands of olive oil are sold in a supermarket:
Brand Volume (ml) Price ($) PureOlio 500 6.35 ExtraLife 900 10.53 Calculate which brand offers the better value for money. Give your answer to the nearest cent per 100 ml.
Question 15
3 marks · Normal
Answer and see the solution →In the country of Kalculus, Seema earned $60,000 per year and paid $14,000 in income tax. Was this correct? Justify your answer with clear working, using the tax bands: 20% for $0–$50,000 and 40% for amounts above $50,000.
Question 16
2 marks · Hard
Answer and see the solution →A supermarket sells a 950 ml bottle of cooking oil for $4.71. Another supermarket sells a 2.5 litre bottle for $12.15. Work out which bottle is better value for money and give the cost per litre for the better value bottle.
Question 17
4 marks · Hard
Answer and see the solution →Maria earns $92,000 per year in Kalculus, where income tax is paid at 20% on the first $50,000 and 40% on any amount above $50,000.
Calculate:
(a)[3 marks]How much income tax does Maria pay in a year?
(b)[1 mark]How much does she receive per month after tax is deducted? Give your answer to the nearest dollar.
Question 18
4 marks · Hard
Answer and see the solution →In the table below are some exchange rates:
Currency Exchange Rates Currency Exchange rate to $1 (USD) UK Pound (£) 0.70 Japanese Yen (¥) 154.50 South African Rand (R) 16.78 (a)[3 marks]A student has ¥30,900 (Japanese yen). She wants to convert her money first to US dollars, and then use all of her dollars to buy UK pounds. Work out how many UK pounds (£) she will get. Give your answer to the nearest pound.
(b)[1 mark]Explain why she will not get exactly the same number of pounds if she first converts her yen to South African rand, and then all her rand to US dollars, and finally all her dollars to UK pounds.
Question 19
2 marks · Easy
Answer and see the solution →Solve the following simultaneous equations for :
Question 20
2 marks · Easy
Answer and see the solution →Explain how to find the intersection points of the graphs of and .