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Modelling with functions: OCR A‑Level Maths questions

OCR A-Level Maths past-paper questions on 1.02.12 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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481 questions

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  2. Q2

    November 2021 · Paper 1

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  4. Q3

    June 2018 · Paper 2

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All 4 questions on Modelling with functions, as a list
  1. June 2025, Paper 1, Q5 (8 marks): Scientists are comparing h, the average height of a child in cm, with t, the age of the child in years. They suggest the model h at + for t b 2 , where a and b
  2. November 2021, Paper 1, Q2 (4 marks): Alex is comparing the cost of mobile phone contracts. Contract A has a set-up cost of £40 and then costs 4p per minute. Contract B has no set-up cost, does not
  3. November 2021, AS Paper 1, Q5 (8 marks): The fuel consumption of a car, C miles per gallon, varies with the speed, v miles per hour. Jamal models the fuel consumption of his car by the formula 3 12 2 C
  4. June 2018, Paper 2, Q3 (4 marks): Ayesha, Bob, Chloe and Dave are discussing the relationship between the time, t hours, they might spend revising for an examination, and the mark, m, they would

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