plumiGrowth, decay and compound interest: OCR GCSE Maths questions
Every OCR 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 4, Q16 (6 marks): The population of fish, P, in a pond is predicted by the formula n P 640 1 025 . = # where n is the number of years after 1st January 2020. (a) Write down the p
- June 2025, Paper 6, Q11 (4 marks): Amit invests some money at a rate of 4% per year compound interest. After 2 years the value of Amit’s investment is £1352. Work out how much money Amit invested
- June 2025, Paper 6, Q23 (3 marks): A pot of tea is made using boiling water and left to cool. The temperature, T °C, of the pot of tea after n minutes is given by the formula n T ab . = The graph
- November 2024, Paper 4, Q5 (3 marks): A person invests £8000 at a rate of 5% per year compound interest. Calculate the total amount of interest earned after 3 years. £
- November 2024, Paper 5, Q14 (6 marks): The expected value of a painting, £P, is given by the formula n P 2500 1 2 . = # where n is the number of years after it was bought and 0 n 4 . G G (a) Write do
- June 2024, Paper 5, Q12 (5 marks): (a) Sasha invests £1000 at a rate of 5% per year compound interest. Sasha says After one year, my investment will get £50 in interest and will be worth £1050. T
- November 2023, Paper 4, Q16 (7 marks): A biologist assumes the population, P, of birds on an island can be predicted using the formula P = 3800 × 1.042n where n is the number of years after the start
- November 2023, Paper 6, Q17 (4 marks): Hiro invests £2500 for 2 years in a bank account paying r % per year compound interest. At the end of 2 years, the amount in the bank account is £2704. Calculat
- June 2023, Paper 6, Q16 (3 marks): The price of a seat on a flight, £P, is given by n P 49 1 009 . = # where n is the number of seats already sold on this flight. (a) Write down the percentage in
- November 2022, Paper 4, Q14 (3 marks): An estimate for the number of seals on an island is given by the formula t 5200 1 02 . P = # where P is the number of seals t years after the start of year 2015
- November 2022, Paper 5, Q14 (4 marks): The number of bees, P, in a colony is given by the formula x P ab = where x is the number of months after the start of July. At the start of July, there were 25
- June 2022, Paper 4, Q3 (5 marks): In January 2018, an art collector bought an antique painting. In January 2020, he sold it for £17 640. Assume the value of the painting increased by 5% each yea
- June 2022, Paper 4, Q16 (9 marks): Li bought a house at the start of 2016. Li assumes the value of the house, £V, can be predicted using the formula n V 185000 1 035 . = # where n is the number o
- June 2022, Paper 6, Q8 (8 marks): 1600 fish are released into a new lake which has no fish. The number of fish is expected to increase by 5% each year. (a) The table shows the expected number of
- November 2021, Paper 4, Q16 (5 marks): The formula n P 6800 1 045 . = # is used to predict the population, P, of an island n years after 2018. (a) Write down the population of the island in 2018. (a)
- November 2020, Paper 5, Q12 (7 marks): The price, £P, of a car is £20 000 in 2019. The price is expected to decrease by 5% each year after 2019. (a) Jasmine says This means the price in 2021 is expec
- November 2019, Paper 4, Q10 (4 marks): The value of a house, £H, is given by the formula H = 165 000 × 1.03t where t is the number of years after 1st January 2010. (a) Write down the value of the hou
- November 2019, Paper 6, Q5 (6 marks): Kay invests £1500 in an account paying 3% compound interest per year. Neil invests £1500 in an account paying r % simple interest per year. At the end of the 5t
- June 2019, Paper 4, Q10 (4 marks): Claudia invests £25 000 at a rate of 2% per year compound interest. Calculate the total amount of interest she will have earned after 5 years. Give your answer
- June 2019, Paper 6, Q22 (6 marks): At the start of 2018, the population of a town was 17 150. At the start of 2019, the population of the town was 16 807. It is assumed that the population of the
- November 2018, Paper 4, Q4 (6 marks): Here are the interest rates for two bank accounts. Northern Savings Bank (NSB) Central Alliance Bank (CAB) 2.5% per year 2.7% per year compound interest simple
- November 2018, Paper 4, Q21 (6 marks): The number of gannets on an island is assumed to follow this exponential growth model. x N 0 45 . 1 07 . = # N is the number of gannets, in thousands. x is the
- June 2018, Paper 4, Q12 (4 marks): The value of a car, £V, is given by V = 16 500 × 0.82n where n is the number of years after it is bought from new. (a) Write down the value of the car when new.
- June 2018, Paper 6, Q15 (4 marks): Ratna invests £1200 for 2 years in a bank account paying r % per year compound interest. At the end of 2 years, the amount in the bank account is £1379.02. Calc
- November 2017, Paper 5, Q11 (6 marks): Amelia buys a new car. The expected future value of this car, £V, is given by t V 16000 0 75 . = # where t is the age of the car in complete years. (a) (i) Writ
- June 2017, Paper 4, Q10 (6 marks): On 1st November 2015 there were 4200 trees planted in a wood. On 1st November 2016, only 3948 of these trees were still alive. It is assumed that the number of
- June 2017, Paper 5, Q4 (3 marks): Rashid invests money into an account which pays a fixed rate of compound interest each year. The value, £V, of his investment after t years is given by the form
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