plumiModelling with functions: OCR MEI A‑Level Maths questions
OCR MEI A-Level Maths past-paper questions on 2.12 Modelling with functions, 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 7 questions on Modelling with functions, as a list
- June 2024, Paper 1, Q10 (10 marks): Zac is measuring the growth of a culture of bacteria in a laboratory. The initial area of the culture is 8 cm2. The area one day later is 8.8 cm2. , where A cm2
- June 2023, AS Paper 2, Q15 (7 marks): A family is planning a holiday in Europe. They need to buy some euros before they go. The exchange rate, y, is the number of euros they can buy per pound. They
- June 2022, AS Paper 1, Q8 (7 marks): A team of volunteers donates cakes for sale at a charity stall. The number of cakes that can be sold y x where y cakes can be sold when the price depends on the
- June 2019, Paper 3, Q13 (6 marks): (a) (i) Show that the cross-sectional area in Fig. C3.2 is x ( 2 r x ) . [2] - r 2 r r 2 2 (ii) Hence show that the cross-sectional area is ( h y ), as given in
- June 2019, Paper 3, Q15 (3 marks): A typical tube of toothpaste measures 5.4 cm across the straight edge at the top and is 12 cm high. It 3. contains 75 ml of toothpaste so it needs to have an in
- June 2019, AS Paper 1, Q11 (11 marks): David puts a block of ice into a cool-box. He wishes to model the mass m kg of the remaining block of ice at time t hours later. He finds that when t = 5, m = 2
- June 2018, Paper 2, Q16 (11 marks): In the first year of a course, an A-level student, Aaishah, has a mathematics test each week. The night before each test she revises for t hours. Over the cours
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