plumiGrowth, decay and compound interest: Edexcel GCSE Maths questions
Every Edexcel 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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All 27 questions on Growth, decay and compound interest, as a list
- June 2025, Paper 2H, Q18 (3 marks): At the start of year n, the population of deer in a park is Dn At the start of the following year, the population of the deer is Dn + 1 Dn + 1 = K Dn where K is
- November 2024, Paper 3H, Q12 (6 marks): Rudi invests £4500 in a savings account. He gets compound interest at a rate of 2.4% for the first year 1.8% for each extra year. (a) Work out the value of Rudi
- June 2024, Paper 3H, Q4 (4 marks): A company has 25 000 workers. The number of workers increases at a rate of 6% per year for 3 years. Calculate the total number of workers at the end of the 3 ye
- June 2024, Paper 3H, Q14 (4 marks): At the start of 2022 Kim invested some money in a savings account. The account paid 3.5% compound interest each year. At the end of 2022 interest was added to t
- June 2024, Paper 3H, Q17 (3 marks): A ball is thrown upwards and reaches a maximum height. The ball then falls and bounces repeatedly. After the nth bounce, the ball reaches a height of hn After t
- November 2023, Paper 1H, Q16 (4 marks): At the start of year n the population of a species is Pn At the start of the following year the population of the species is given by Pn + 1 = kPn where k is a
- November 2023, Paper 2H, Q3 (2 marks): Andrew invests £4500 in a savings account for 2 years. The account pays compound interest at a rate of 3.4% per year. Calculate how much Andrew has in this savi
- June 2023, Paper 2H, Q8 (4 marks): Tamsin buys a house with a value of £150 000 The value of Tamsin’s house increases by 4% each year. Rachel buys a house with a value of £160 000 The value of Ra
- November 2022, Paper 2H, Q6 (3 marks): Ella invests £7000 for 2 years in an account paying compound interest. In the first year, the rate of interest is 3% In the second year, the rate of interest is
- November 2022, Paper 2H, Q12 (3 marks): The number of insects in a population at the start of the year n is Pn The number of insects in the population at the start of year (n + 1) is Pn+1 where Pn+1 =
- June 2022, Paper 2H, Q6 (3 marks): A new phone cost £679 The value of the phone decreases at a rate of 4% per year. Work out the value of the phone at the end of 3 years. £
- June 2022, Paper 3H, Q20 (4 marks): The profit made by a shop increases each year. The profit made by the shop in year n is £Pn Given that the profit made by the shop in the next year is £Pn + 1 t
- November 2021, Paper 2H, Q10 (4 marks): Louise invests £x in Better Investments for 3 years. Sadiq invests £x in County Bank for 3 years. County Bank Better Investments Compound Interest Compound Inte
- November 2021, Paper 3H, Q19 (3 marks): At the start of year n, the number of animals in a population is Pn At the start of the following year, the number of animals in the population is Pn + 1 where
- November 2020, Paper 2H, Q8 (5 marks): Tariq buys a laptop. He gets a discount of 5% off the normal price. Tariq pays £551 for the laptop. (a) Work out the normal price of the laptop. £ Joan invests
- November 2020, Paper 2H, Q19 (4 marks): A hot air balloon is descending. The height of the balloon n minutes after it starts to descend is hn metres. The height of the balloon (n +1) minutes after it
- November 2019, Paper 2H, Q13 (3 marks): Sakira invested £3550 in a savings account for 3 years. She was paid 2.6% per annum compound interest for each of the first 2 years. She was paid R% interest fo
- November 2019, Paper 2H, Q22 (4 marks): The number of rabbits on a farm at the end of month n is Pn The number of rabbits at the end of the next month is given by Pn +1 = 1.2Pn At the end of March the
- June 2019, Paper 3H, Q2 (3 marks): Katy invests £200 000 in a savings account for 4 years. The account pays compound interest at a rate of 1.5 % per annum. Calculate the total amount of interest
- November 2018, Paper 2H, Q4 (5 marks): Northern Bank has two types of account. Both accounts pay compound interest. Cash savings account Shares account Interest Interest 2.5% per annum 3.5% per annum
- November 2018, Paper 3H, Q13 (2 marks): The number of animals in a population at the start of year t is Pt The number of animals at the start of year 1 is 400 Given that Pt + 1 = 1.01Pt work out the n
- June 2018, Paper 2H, Q9 (4 marks): Jean invests £12 000 in an account paying compound interest for 2 years. In the first year the rate of interest is x% At the end of the first year the value of
- November 2017, Paper 2H, Q13 (5 marks): is 5 marks)
- November 2017, Paper 2H, Q18 (1 mark): is 1 mark)
- November 2017, Paper 3H, Q9 (5 marks): Jack bought a new boat for £12 500 The value, £V, of Jack’s boat at the end of n years is given by the formula V = 12 500 × (0.85)n (a) At the end of how many y
- June 2017, Paper 2H, Q6 (3 marks): Anil wants to invest £25000 for 3 years in a bank. Personal Bank Secure Bank Compound Interest Compound Interest 2% for each year 4.3% for the first year 0.9% f
- June 2017, Paper 3H, Q10 (3 marks): Naoby invests £6000 for 5 years. The investment gets compound interest of x% per annum. At the end of 5 years the investment is worth £8029.35 Work out the valu
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