Fractions and percentages as operators: AQA GCSE Maths questions

Every AQA GCSE Maths exam question on N12 Fractions and percentages as operators, 2017–2025, with its mark scheme and examiner’s report.

All 19 questions on Fractions and percentages as operators, as a list

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 2023, Paper 2H, Q5 (5 marks): Three shops sell the same type and size of lip balm stick. Shop A £2.39 each Shop B £3.08 each Buy one, get one half price Shop C Pack of 4 Was £11.40 Now 1 6 o
November 2023, Paper 2H, Q6 (2 marks): Round 1 of voting for Head Student is taking place in a school. 6 (a) To reach round 2, a student must receive at least 15 4 of the votes. What is the largest p
November 2023, Paper 3H, Q6 (4 marks): An exhibition was open for 240 hours and had 29 760 visitors. For 5 2 of the time the exhibition was open, there were 172 visitors per hour. For the remaining t
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
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,
November 2021, Paper 3H, Q6 (5 marks): At a country park there is a house, a museum and a garden. The table shows the prices per person to visit the park. Price per person Garden only Free House and
November 2020, Paper 1H, Q8 (3 marks): The shorter side of a parallelogram has length 6.5 cm The length of the shorter side is 1 9 of the perimeter. Work out the length of the longer side. Not drawn
November 2020, Paper 2H, Q16 (3 marks): On a restaurant menu there are 22 main dishes, of which 11 4 are gluten-free 7 rice dishes, which are all gluten-free 5 naan breads, of which 40% are gluten-fre
November 2019, Paper 1H, Q16 (4 marks): In a box there are some buttons. 45 are large and the rest are small. Some are yellow and the rest are green. The number of small is 3 5 of the number of large.
November 2019, Paper 3H, Q8 (5 marks): In a choir there are 35 men and 48 women. The probability that a man chosen at random wears glasses is 5 2 The probability that a woman chosen at random wears g
June 2018, Paper 1H, Q23 (3 marks): A shopkeeper compares the income from sales of a laptop in March and April. April Price 5 1 more than March Number sold 4 1 less than March By what fraction doe
November 2017, Paper 2H, Q14 (4 marks): A ball is thrown from a height of 15 metres. It bounces to height 1 h , then to height 2 h as shown. 1 h is three quarters of the original height. 14 (a) Jack e
June 2017, Paper 1H, Q7 (2 marks): 5 3 of a number is 162 Work out the number. Answer
June 2017, Paper 1H, Q25 (4 marks): In an office there are twice as many females as males. 4 1 of the females wear glasses. 8 3 of the males wear glasses. 84 people in the office wear glasses. Wor
June 2017, Paper 3H, Q9 (5 marks): There are 720 boys and 700 girls in a school. The probability that a boy chosen at random studies French is 3 2 The probability that a girl chosen at random stu
Specimen, Paper 2H, Q5 (3 marks): In a sale, the original price of a bag was reduced by 1 5 The sale price of the bag is £29.40 Work out the original price. Answer £
Specimen, Paper 2H, Q23 (4 marks): A bowl is a hemisphere with radius 6 cm Water fills two-fifths of the volume of the bowl. The water is poured into a hollow cone. The depth of the water in the

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