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Percentages: AQA GCSE Maths questions

Every AQA GCSE Maths exam question on R9 Percentages, 2017–2025, with its mark scheme and examiner’s report.

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1,304 questions

  1. Q4

    June 2025 · Paper 2H

    The whole paper ↗
    June 2025 Paper 2H, question 4: 70% of the discs in a box are red and the rest are blue. • 40% of the red discs are removed. • 50% of the blue discs are removed. In total, what percentage of t
  2. Q9

    June 2025 · Paper 2H

    The whole paper ↗
    June 2025 Paper 2H, question 9: The number of people that follow an influencer increases from 35 000 to 70 000 The influencer says, “My number of followers has increased by 200%, because 70 00
  3. Q12

    June 2025 · Paper 3H

    The whole paper ↗
    June 2025 Paper 3H, question 12: Rob records the time he takes to drive to work every day for 80 days. The table shows information about the results. Time, t (minutes) Frequency 20 ⩽ t < 25 16
  4. Q10

    November 2024 · Paper 2H

    The whole paper ↗
    November 2024 Paper 2H, question 10: 384 000 electric cars were sold this year. This is 20% more than last year. How many were sold last year? Answer
  5. Q14

    November 2024 · Paper 2H

    The whole paper ↗
    November 2024 Paper 2H, question 14: Here is a sign in a shop. SALE 20% OFF ALL ITEMS TODAY ONLY 10% OFF THE REDUCED PRICE THAT MEANS YOU SAVE 30% Is the sign correct? Tick a box. Yes No Give a rea
  6. Q6

    November 2024 · Paper 3H

    The whole paper ↗
    November 2024 Paper 3H, question 6: Three shops sell shirts. At which shop is it cheapest to buy 6 shirts? Show working to support your answer. Shop A Pack of 2 £19.00 Shop B Was £12.40 Now 25% of
  7. Q19

    June 2024 · Paper 1H

    The whole paper ↗
    June 2024 Paper 1H, question 19: A, B and C are numbers. Here is some information about B and C. B 4 7 of A C A increased by 150% Work out C as a fraction of B. Answer
  8. Q2

    June 2024 · Paper 2H

    The whole paper ↗
    June 2024 Paper 2H, question 2: The mass of an iceberg is 2 200 000 kg This value is a 12% reduction from the original mass of the iceberg. Work out the original mass of the iceberg. Give your
  9. Q10

    June 2024 · Paper 2H

    The whole paper ↗
    June 2024 Paper 2H, question 10: A bus route had 90 000 passengers last year. The number of passengers was predicted to increase by 3% this year and then by 8% next year. Is the predicted numbe
  10. Q7

    November 2023 · Paper 1H

    The whole paper ↗
    November 2023 Paper 1H, question 7: 70% of a number is 350 Work out 120% of the number. Answer
  11. Q2

    November 2023 · Paper 2H

    The whole paper ↗
    November 2023 Paper 2H, question 2: (a) Write 1.52 as an improper fraction in its simplest form. Answer 2 (b) Work out 60 as a percentage of 20 Answer %
  12. Q5

    November 2023 · Paper 2H

    The whole paper ↗
    November 2023 Paper 2H, question 5: 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
  13. Q5

    November 2023 · Paper 3H

    The whole paper ↗
    November 2023 Paper 3H, question 5: Carly’s total annual pay = salary + bonus Salary Bonus Last year £26 000 £4000 This year 6% increase 9% decrease Work out the percentage change in her total ann
  14. Q4

    June 2023 · Paper 2H

    The whole paper ↗
    June 2023 Paper 2H, question 4: The price of a toy increases by 12.5% to £19.53 Work out the original price of the toy. Answer £
  15. Q11

    June 2023 · Paper 2H

    The whole paper ↗
    June 2023 Paper 2H, question 11: A bowl is a hemisphere with radius 12 cm Volume of a sphere = 4 3 πr3 Water is poured into the bowl at a rate of 325 cm3 per second for 8 seconds. Does the wate
  16. Q14

    June 2023 · Paper 3H

    The whole paper ↗
    June 2023 Paper 3H, question 14: Kiran paid Income Tax and National Insurance on her annual salary. Income Tax 0% of the first £12 570 of her annual salary 20% of the rest of her annual salary
  17. Q12

    November 2022 · Paper 1H

    The whole paper ↗
    November 2022 Paper 1H, question 12: a is 10% more than b. Circle the ratio a : b 10 : 11 10 : 1 11 : 10 1 : 10
  18. Q14

    November 2022 · Paper 2H

    The whole paper ↗
    November 2022 Paper 2H, question 14: Fred bought an apartment for £137 500 He made 8% profit when he sold the apartment. He used all of this profit to pay 40% of the deposit on a house. The deposit
  19. Q4

    November 2022 · Paper 3H

    The whole paper ↗
    November 2022 Paper 3H, question 4: 30 < x < 300 x is 200% of y Circle the correct inequality. 10 < y < 100 15 < y < 150 60 < y < 600 90 < y < 900
  20. Q3

    June 2022 · Paper 1H

    The whole paper ↗
    June 2022 Paper 1H, question 3: Circle the calculation that increases 240 by 7.5% 240 × 1.0705 240 × 1.705 240 × 1.075 240 × 1.75
All 58 questions on Percentages, as a list
  1. June 2025, Paper 2H, Q4 (3 marks): 70% of the discs in a box are red and the rest are blue. • 40% of the red discs are removed. • 50% of the blue discs are removed. In total, what percentage of t
  2. June 2025, Paper 2H, Q9 (1 mark): The number of people that follow an influencer increases from 35 000 to 70 000 The influencer says, “My number of followers has increased by 200%, because 70 00
  3. June 2025, Paper 3H, Q12 (4 marks): Rob records the time he takes to drive to work every day for 80 days. The table shows information about the results. Time, t (minutes) Frequency 20 ⩽ t < 25 16
  4. November 2024, Paper 2H, Q10 (3 marks): 384 000 electric cars were sold this year. This is 20% more than last year. How many were sold last year? Answer
  5. November 2024, Paper 2H, Q14 (1 mark): Here is a sign in a shop. SALE 20% OFF ALL ITEMS TODAY ONLY 10% OFF THE REDUCED PRICE THAT MEANS YOU SAVE 30% Is the sign correct? Tick a box. Yes No Give a rea
  6. November 2024, Paper 3H, Q6 (5 marks): Three shops sell shirts. At which shop is it cheapest to buy 6 shirts? Show working to support your answer. Shop A Pack of 2 £19.00 Shop B Was £12.40 Now 25% of
  7. June 2024, Paper 1H, Q19 (4 marks): A, B and C are numbers. Here is some information about B and C. B 4 7 of A C A increased by 150% Work out C as a fraction of B. Answer
  8. June 2024, Paper 2H, Q2 (3 marks): The mass of an iceberg is 2 200 000 kg This value is a 12% reduction from the original mass of the iceberg. Work out the original mass of the iceberg. Give your
  9. June 2024, Paper 2H, Q10 (3 marks): A bus route had 90 000 passengers last year. The number of passengers was predicted to increase by 3% this year and then by 8% next year. Is the predicted numbe
  10. November 2023, Paper 1H, Q7 (3 marks): 70% of a number is 350 Work out 120% of the number. Answer
  11. November 2023, Paper 2H, Q2 (2 marks): (a) Write 1.52 as an improper fraction in its simplest form. Answer 2 (b) Work out 60 as a percentage of 20 Answer %
  12. 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
  13. November 2023, Paper 3H, Q5 (4 marks): Carly’s total annual pay = salary + bonus Salary Bonus Last year £26 000 £4000 This year 6% increase 9% decrease Work out the percentage change in her total ann
  14. June 2023, Paper 2H, Q4 (2 marks): The price of a toy increases by 12.5% to £19.53 Work out the original price of the toy. Answer £
  15. June 2023, Paper 2H, Q11 (4 marks): A bowl is a hemisphere with radius 12 cm Volume of a sphere = 4 3 πr3 Water is poured into the bowl at a rate of 325 cm3 per second for 8 seconds. Does the wate
  16. June 2023, Paper 3H, Q14 (4 marks): Kiran paid Income Tax and National Insurance on her annual salary. Income Tax 0% of the first £12 570 of her annual salary 20% of the rest of her annual salary
  17. November 2022, Paper 1H, Q12 (1 mark): a is 10% more than b. Circle the ratio a : b 10 : 11 10 : 1 11 : 10 1 : 10
  18. November 2022, Paper 2H, Q14 (4 marks): Fred bought an apartment for £137 500 He made 8% profit when he sold the apartment. He used all of this profit to pay 40% of the deposit on a house. The deposit
  19. November 2022, Paper 3H, Q4 (1 mark): 30 < x < 300 x is 200% of y Circle the correct inequality. 10 < y < 100 15 < y < 150 60 < y < 600 90 < y < 900
  20. June 2022, Paper 1H, Q3 (1 mark): Circle the calculation that increases 240 by 7.5% 240 × 1.0705 240 × 1.705 240 × 1.075 240 × 1.75
  21. June 2022, Paper 2H, Q10 (2 marks): Harry and Ellie each bought a printer and a hard drive. Here is some information about how much they paid. Printer Hard drive Harry £80 £25 Ellie 10% less than
  22. June 2022, Paper 2H, Q12 (1 mark): 4y = 5x Which statement is correct? Tick one box. y is 80% of x y is 125% of x x is 20% of y x is 400% of y
  23. June 2022, Paper 2H, Q20 (4 marks): A company makes and sells boxes of washing powder. The company wants to increase the amount of money it receives per kg of powder. To get the required increase
  24. June 2022, Paper 3H, Q5 (3 marks): Laura works in a shop. The table shows the number of hours she works on two weekends. Saturday Sunday Weekend 1 3 2 Weekend 2 5 2 1 3 2 1 Work out the percentag
  25. 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
  26. November 2021, Paper 3H, Q11 (3 marks): Erik thinks of a prime number between 20 and 30 His number is x% of 125 Work out one possible value of x. Answer
  27. November 2021, Paper 3H, Q14 (3 marks): Phil sells ties. He increases the original price of each tie by 10% to £13.20 A month later he announces a sale. Phil says, “The ties will be back to their orig
  28. November 2020, Paper 3H, Q3 (1 mark): Work out 320 as a percentage of 80 Circle your answer. 25% 75% 300% 400%
  29. November 2020, Paper 3H, Q14 (4 marks): A rectangle has length 60 cm and width 40 cm The length decreases by 15% The width decreases by 10% Sue says, ‘‘The perimeter decreases by 25% because 15% + 10%
  30. November 2019, Paper 1H, Q1 (1 mark): Circle the calculation that decreases 250 by 15% 250 ÷ 1.15 250 × 0.15 250 × 0.85 250 ÷ 0.85
  31. 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.
  32. November 2019, Paper 2H, Q16 (2 marks): (a) Show that a% of b = b% of a 16 (b) Rosie says, “160% of 40 = 140% of 60 because a% of b = b% of a” Is she correct? Tick a box. Yes No Give a reason for your
  33. November 2019, Paper 3H, Q6 (4 marks): (a) Tom is tiling a wall. He needs to buy at least 100 tiles. The tiles are sold in large packs and small packs. Work out the cheapest cost for Tom to buy the p
  34. November 2019, Paper 3H, Q15 (4 marks): When you earn money you pay income tax. The amount you pay depends on how much you earn that year. You pay 0% on the first £12 500 you earn 20% on the next £37
  35. June 2019, Paper 1H, Q7 (2 marks): Three friends arrive at a party. Their arrival increases the number of people at the party by 20% In total, how many people are now at the party? Answer
  36. June 2019, Paper 2H, Q11 (2 marks): Joe and Kyle share an amount of money in the ratio 7 : n Joe gets 35% of the money. Work out the value of n. Answer
  37. 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
  38. November 2018, Paper 1H, Q10 (3 marks): Work out the percentage increase from 80 to 280 Answer %
  39. November 2018, Paper 2H, Q19 (3 marks): There are four starters and ten main courses to choose from. Two of the starters and three of the main courses are suitable for vegans. What percentage of the p
  40. June 2018, Paper 1H, Q16 (1 mark): The value of y is 20% more than the value of x. Circle the ratio x : y 5 : 6 6 : 5 4 : 5 5 : 4
  41. 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
  42. June 2018, Paper 2H, Q4 (1 mark): Work out 40 as a percentage of 10 Circle your answer. 4% 25% 300% 400%
  43. June 2018, Paper 2H, Q6 (3 marks): The table shows information about the population of a city. Population in 2001 Population in 2011 420 000 480 000 Liam claims, “From 2011 to 2021 the population
  44. June 2018, Paper 3H, Q7 (4 marks): Investment A Save £150 per month for 2 years. 2.5% interest is added to the total amount saved. Investment B Invest £3500 Compound interest is added at 3% per y
  45. June 2018, Paper 3H, Q9 (3 marks): The cost of a ticket increases by 10% to £19.25 Work out the original cost. Answer £
  46. November 2017, Paper 2H, Q2 (1 mark): What is 50 as a percentage of 20? Circle your answer. 10% 40% 150% 250%
  47. November 2017, Paper 2H, Q22 (5 marks): The cross section of an earring is a semicircle, centre C, radius 25 mm The earring is black and white. The shaded area is black. Not drawn accurately Sector BC
  48. November 2017, Paper 3H, Q2 (1 mark): y is 100% more than x. Circle the ratio x : y 1 : 100 100 : 1 1 : 2 2 : 1
  49. November 2017, Paper 3H, Q11 (7 marks): 42 men and 38 women visit a restaurant. 44 of these people have a voucher. Three times as many men as women do not have a voucher. 11 (a) Complete the frequency
  50. November 2017, Paper 3H, Q20 (1 mark): w is a positive number. x is 10% more than w. y is 10% less than x. Which statement is true? Tick one box. w < x and w < y w < x and w = y x > y and w > y x > y
  51. June 2017, Paper 1H, Q11 (5 marks): Billy wants to buy these tickets for a show. 4 adult tickets at £15 each 2 child tickets at £10 each A 10% booking fee is added to the ticket price. 3% is then
  52. June 2017, Paper 1H, Q18 (3 marks): Bottles of drink are for sale at three shops. The normal price of a bottle is the same at each shop. Shop C 30% off a bottle Shop B Buy 2 bottles Get 3 more bot
  53. June 2017, Paper 2H, Q17 (4 marks): P is a rectangle with length 50 cm and width x cm Q is a rectangle with width y cm Not drawn accurately P Q The length of Q is 20% more than the length of P. Th
  54. June 2017, Paper 3H, Q16 (3 marks): The value of a new car is £18 000 The value of the car decreases by 25% in the first year 12% in each of the next 4 years. Work out the value of the car after 5
  55. Specimen, Paper 1H, Q1 (1 mark): Circle the calculation that increases 400 by 7% 400  0.07 400  0.7 400  1.07 400  1.7
  56. 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 £
  57. Specimen, Paper 2H, Q21 (3 marks): A company makes boxes of cereal. A box usually contains 450 grams of cereal. Here are two options for a special offer. Which option is the better value for the
  58. Specimen, Paper 3H, Q5 (3 marks): In 1999 the minimum wage for adults was £3.60 per hour. In 2013 it was £6.31 per hour. Work out the percentage increase in the minimum wage. Answer %

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