plumiExponential growth and decay models: AQA A‑Level Maths questions
AQA A-Level Maths past-paper questions on F.5 Exponential growth and decay models, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 9 questions on Exponential growth and decay models, as a list
- June 2025, Paper 1, Q10 (12 marks): A researcher working for a frozen-food manufacturer uses the formula θ = 21 – Ae–kt to model the temperature of a dessert once it is taken out of a freezer. In
- June 2024, Paper 3, Q8 (8 marks): The temperature θ °C of an oven t minutes after it is switched on can be modelled by the equation θ = 20(11 – 10e–kt) where k is a positive constant. Initially
- June 2023, Paper 2, Q6 (6 marks): Victoria, a market researcher, believes the average weekly value, £V million, of online grocery sales in the UK has grown exponentially since 2009. Victoria mod
- June 2022, Paper 2, Q10 (15 marks): A gardener has a greenhouse containing 900 tomato plants. The gardener notices that some of the tomato plants are damaged by insects. Initially there are 25 dam
- November 2021, Paper 1, Q9 (15 marks): The table below shows the annual global production of plastics, P, measured in millions of tonnes per year, for six selected years. Year 1980 1985 1990 1995 200
- November 2020, Paper 3, Q5 (9 marks): The number of radioactive atoms, N, in a sample of a sodium isotope after time t hours can be modelled by N = N0e−kt where N0 is the initial number of radioacti
- June 2019, Paper 2, Q8 (11 marks): Theresa bought a house on 2 January 1970 for £8000. The house was valued by a local estate agent on the same date every 10 years up to 2010. The valuations are
- June 2019, Paper 3, Q8 (12 marks): A student is conducting an experiment in a laboratory to investigate how quickly liquids cool to room temperature. A beaker containing a hot liquid at an initia
- June 2018, Paper 1, Q10 (8 marks): A scientist is researching the effects of caffeine. She models the mass of caffeine in the body using m = m0e−kt where m0 milligrams is the initial mass of caff
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