plumiSharing in a ratio: AQA GCSE Maths questions
Every AQA GCSE Maths exam question on R5 Sharing in a ratio, 2017–2025, with its mark scheme and examiner’s report.
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All 25 questions on Sharing in a ratio, as a list
- June 2025, Paper 1H, Q12 (3 marks): Oscar and Nikita share some money in the ratio 8 : 5 Oscar has £27 more than Nikita. How much do they have altogether? Answer £
- June 2025, Paper 3H, Q9 (3 marks): Ary, Bea and Cat each have an amount of money. Cat has £280 • Cat’s amount is 2 3 of Bea’s amount. • Ary’s amount : Bea’s amount = 5 : 12 Work out how much mone
- November 2024, Paper 2H, Q12 (4 marks): At a music festival, four types of instrument are played. guitars keyboards drums trumpets • The total number of instruments is 80 • Half of the instruments are
- November 2024, Paper 3H, Q7 (4 marks): (a) At a school there are 912 students the ratio of students to teachers is 15.2 : 1 The number of students stays the same. The number of teachers increases by
- November 2023, Paper 1H, Q14 (3 marks): Cora is revising for two subjects, History and French. The time she spends revising is in the ratio History : French = 7 : 2 The time she spends revising for Hi
- June 2023, Paper 1H, Q6 (4 marks): Andrew and Bruce share some money in the ratio 5 : 6 Bruce gets £96 Andrew gives 1 4 of his share to Carl. Bruce gives 2 3 of his share to Carl. How much money
- June 2023, Paper 3H, Q8 (4 marks): Jing has £2450 She saves some and gives the rest to her four brothers. money saved : money given to brothers = 2 : 5 She gives each of her four brothers the sam
- November 2022, Paper 1H, Q5 (3 marks): Divide 62 in the ratio 3 : 7 Answer and
- November 2022, Paper 3H, Q6 (3 marks): Joe, Kim and Lisa each have an amount of money. Joe has £72 Joe’s amount : Kim’s amount = 6 : 5 Lisa’s amount is 1 1 2 times Joe’s amount. Show that, in total,
- June 2022, Paper 3H, Q8 (4 marks): Information about two fridge-freezers, A and B, is shown. Total capacity is 330 litres fridge capacity : freezer capacity = 3 : 2 Fridge capacity is 294 litres
- November 2021, Paper 3H, Q7 (3 marks): Jeff and Kaz share £270 in the ratio Jeff : Kaz = 2.6 : 1 How much more than Kaz does Jeff get? Answer £
- November 2021, Paper 3H, Q9 (4 marks): Rectangle ABCD is split into four smaller rectangles. Two of the smaller rectangles are shaded. 4 : x = 1 : 2 For rectangle ABCD, work out the ratio shaded area
- November 2020, Paper 1H, Q10 (4 marks): The cost of a holiday is £2400 Rana pays a deposit followed by monthly payments, in the ratio She makes 6 equal monthly payments. Work out her monthly payment.
- November 2020, Paper 2H, Q8 (2 marks): At a party there are 90 people. 48 are women and 42 are men. Some women leave. Some men arrive. The ratio of women to men is now 10 : 11 Are there now more than
- November 2019, Paper 1H, Q10 (4 marks): Saj makes Rose Pink paint and Cherry Pink paint. He mixes red paint with white paint as shown. He makes 60 litres of Rose Pink paint. To this Rose Pink paint he
- November 2019, Paper 3H, Q21 (4 marks): Juice is sold in small bottles and large bottles. The volume of the large bottle is 1125 ml. volume of small bottle : volume of large bottle = 2 : 5 A café has
- June 2019, Paper 1H, Q11 (3 marks): Ed and Fay shared £330 in the ratio 7 : 4 Ed gives Fay some of his money. Fay now has the same amount as Ed. How much does Ed give Fay? Answer £
- June 2019, Paper 3H, Q21 (5 marks): Hanif makes green paint by mixing blue paint and yellow paint in the ratio blue : yellow = 7 : 3 He buys blue paint in 50-litre containers, each costing £225 He
- November 2018, Paper 2H, Q15 (4 marks): The volume of a medal is 45 cm3 The medal is made from copper and tin. volume of copper : volume of tin = 22 : 3 The density of copper is 8.96 g/cm3 The density
- November 2017, Paper 3H, Q17 (3 marks): At a football game number of men : number of women : number of children = 13 : 5 : 7 There are 4152 more men than women. Work out the number of children at the
- June 2017, Paper 2H, Q19 (5 marks): Rana sells 192 cakes in the ratio small : medium : large = 7 : 6 : 11 The profit for one medium cake is twice the profit for one small cake. The profit for one
- June 2017, Paper 3H, Q11 (3 marks): Purple paint is made by mixing red paint and blue paint in the ratio 5 : 2 Yan has 30 litres of red paint and 9 litres of blue paint. What is the maximum amount
- Specimen, Paper 1H, Q10 (4 marks): White paint costs £2.80 per litre. Blue paint costs £3.50 per litre. White paint and blue paint are mixed in the ratio 3 : 2 Work out the cost of 18 litres of t
- Specimen, Paper 2H, Q10 (3 marks): At a school number of boys : number of girls = 9 : 7 There are 116 more boys than girls. Work out the total number of students at the school. Answer
- Specimen, Paper 3H, Q16 (3 marks): During a game, players can win and lose counters. At the start of the game Rob, Tim and Zak share the counters in the ratio 5 : 6 : 7 At the end of the game Rob
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