plumiExponential growth and decay models: OCR A‑Level Maths questions
OCR A-Level Maths past-paper questions on 1.06.5 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.
Questions from
Paper
All papers
Exam
All years
Loading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDF
All 6 questions on Exponential growth and decay models, as a list
- June 2023, Paper 1, Q11 (12 marks): t 11 The owners of an online shop believe that their sales can be modelled by S ab , where a and = b are both positive constants, S is the number of items sold
- June 2022, Paper 1, Q8 (9 marks): (a) Substance A is decaying exponentially such that its mass is m grams at time t minutes. Find the missing values of m and t in the following table. t 0 10 50
- June 2022, AS Paper 1, Q6 (11 marks): During some research the size, P, of a population of insects, at time t months after the start of the research, is modelled by the following formula. t P 100 e
- November 2020, Paper 1, Q6 (9 marks): A mobile phone company records their annual sales on 31st December every year. 6 t Paul thinks that the annual sales, S million, can be modelled by the equation
- June 2019, Paper 2, Q4 (5 marks): A species of animal is to be introduced onto a remote island. Their food will consist only of various plants that grow on the island. A zoologist proposes two p
- June 2018, AS Paper 2, Q6 (9 marks): A pan of water is heated until it reaches 100 °C. Once the water reaches 100 °C, the heat is switched off and the temperature T °C of the water decreases. The t
Questions, mark schemes and examiner’s reports are © OCR, from their published past papers. Plumi isn’t affiliated with any exam board. Want whole papers? OCR A-Level Maths past papers.
The Plumi iPad app also offers exam-style questions with AI feedback on your handwritten working.