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Growth, decay and compound interest: AQA GCSE Maths questions

Every AQA GCSE Maths exam question on R16 Growth, decay and compound interest, 2017–2025, with its mark scheme and examiner’s report.

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1,304 questions

  1. Q16

    June 2025 · Paper 2H

    The whole paper ↗
    June 2025 Paper 2H, question 16: The value of a second-hand car decreases by 12.1% per year. Work out the number of full years until the car loses more than half its value. You must show your w
  2. Q12

    November 2024 · Paper 3H

    The whole paper ↗
    November 2024 Paper 3H, question 12: The population of a country is now 67 200 000 The population is predicted to increase by 1% per year for 6 years and then decrease by 1.2% per year for 2 years.
  3. November 2024 Paper 3H, question 23: The distance of a particle from a point is d metres after t seconds. d = a × bt where a and b are constants Work out the values of a and b. a = b =
  4. Q26

    November 2023 · Paper 2H

    The whole paper ↗
    November 2023 Paper 2H, question 26: Rick borrows £1500 from a bank. He pays back £100 each month. This iterative formula works out the amount he still owes at the end of each month. A0 = 1500 Work
  5. Q21

    June 2023 · Paper 2H

    The whole paper ↗
    June 2023 Paper 2H, question 21: Magana decides to put £500 into an account that pays compound interest. She wants to have at least £560 in the account after 3 years. Work out to 1 decimal plac
  6. Q5

    June 2023 · Paper 3H

    The whole paper ↗
    June 2023 Paper 3H, question 5: The number of hedgehogs in England is expected to reduce by 4% each year. Assume there are now 1 000 000 hedgehogs in England. Work out the expected number of h
  7. Q24

    November 2022 · Paper 3H

    The whole paper ↗
    November 2022 Paper 3H, question 24: On the same day, Kate buys a car for £14 000 and a painting for £5000 The value of the car decreases by 35% in the first year, and then by 10% each year. The va
  8. Q20

    June 2022 · Paper 3H

    The whole paper ↗
    June 2022 Paper 3H, question 20: £2448 is invested in an account at a rate of compound interest. One year after the investment there is £2496.96 in the account. How much is in the account four
  9. Q14

    November 2021 · Paper 2H

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    November 2021 Paper 2H, question 14: The population of butterflies in a park is 4200 14 (a) Assume that the population increases by 12% each day. Show that after 20 days the population would be gre
  10. Q14

    November 2020 · Paper 2H

    The whole paper ↗
    November 2020 Paper 2H, question 14: A marathon takes place each year. In 2020 there were 6500 runners. Does this predict that in 2023 there will be more than 7500 runners? You must show your worki
  11. Q11

    November 2019 · Paper 2H

    The whole paper ↗
    November 2019 Paper 2H, question 11: The value of a house is £120 000 The value is expected to increase by 5% each year. Work out the expected value after 4 years. Give your answer to 2 significant
  12. Q10

    June 2019 · Paper 3H

    The whole paper ↗
    June 2019 Paper 3H, question 10: Mia wants to borrow £6000 and repay it, with interest, after two years. She sees two offers for loans. Mia says, “I will pay back the same amount because the av
  13. Q8

    November 2018 · Paper 3H

    The whole paper ↗
    November 2018 Paper 3H, question 8: Doug owes an amount of £600 He wants to pay off this amount in five months. He says, “Each month, I will pay back 20% of the amount I still owe.” Show working t
  14. Q7

    June 2018 · Paper 3H

    The whole paper ↗
    June 2018 Paper 3H, question 7: 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
  15. Q15

    November 2017 · Paper 2H

    The whole paper ↗
    November 2017 Paper 2H, question 15: Mirek invests £6000 at a compound interest rate of 1.5% per year. He wants to earn more than £1000 interest. Work out the least time, in whole years, that this
  16. Q11

    Specimen · Paper 3H

    The whole paper ↗
    Specimen Paper 3H, question 11: The pressure at sea level is 101 325 Pascals. Any rise of 1 km above sea level decreases the pressure by 14% For example, at 3 km above sea level the pressure i
All 16 questions on Growth, decay and compound interest, as a list
  1. June 2025, Paper 2H, Q16 (3 marks): The value of a second-hand car decreases by 12.1% per year. Work out the number of full years until the car loses more than half its value. You must show your w
  2. November 2024, Paper 3H, Q12 (4 marks): The population of a country is now 67 200 000 The population is predicted to increase by 1% per year for 6 years and then decrease by 1.2% per year for 2 years.
  3. November 2024, Paper 3H, Q23 (3 marks): The distance of a particle from a point is d metres after t seconds. d = a × bt where a and b are constants Work out the values of a and b. a = b =
  4. November 2023, Paper 2H, Q26 (3 marks): Rick borrows £1500 from a bank. He pays back £100 each month. This iterative formula works out the amount he still owes at the end of each month. A0 = 1500 Work
  5. June 2023, Paper 2H, Q21 (3 marks): Magana decides to put £500 into an account that pays compound interest. She wants to have at least £560 in the account after 3 years. Work out to 1 decimal plac
  6. June 2023, Paper 3H, Q5 (3 marks): The number of hedgehogs in England is expected to reduce by 4% each year. Assume there are now 1 000 000 hedgehogs in England. Work out the expected number of h
  7. November 2022, Paper 3H, Q24 (5 marks): On the same day, Kate buys a car for £14 000 and a painting for £5000 The value of the car decreases by 35% in the first year, and then by 10% each year. The va
  8. June 2022, Paper 3H, Q20 (3 marks): £2448 is invested in an account at a rate of compound interest. One year after the investment there is £2496.96 in the account. How much is in the account four
  9. November 2021, Paper 2H, Q14 (7 marks): The population of butterflies in a park is 4200 14 (a) Assume that the population increases by 12% each day. Show that after 20 days the population would be gre
  10. November 2020, Paper 2H, Q14 (3 marks): A marathon takes place each year. In 2020 there were 6500 runners. Does this predict that in 2023 there will be more than 7500 runners? You must show your worki
  11. November 2019, Paper 2H, Q11 (4 marks): The value of a house is £120 000 The value is expected to increase by 5% each year. Work out the expected value after 4 years. Give your answer to 2 significant
  12. June 2019, Paper 3H, Q10 (3 marks): Mia wants to borrow £6000 and repay it, with interest, after two years. She sees two offers for loans. Mia says, “I will pay back the same amount because the av
  13. November 2018, Paper 3H, Q8 (3 marks): Doug owes an amount of £600 He wants to pay off this amount in five months. He says, “Each month, I will pay back 20% of the amount I still owe.” Show working t
  14. 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
  15. November 2017, Paper 2H, Q15 (3 marks): Mirek invests £6000 at a compound interest rate of 1.5% per year. He wants to earn more than £1000 interest. Work out the least time, in whole years, that this
  16. Specimen, Paper 3H, Q11 (4 marks): The pressure at sea level is 101 325 Pascals. Any rise of 1 km above sea level decreases the pressure by 14% For example, at 3 km above sea level the pressure i

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