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Areas between curves and lines: OCR MEI A‑Level Maths questions

OCR MEI A-Level Maths past-paper questions on 8.4 Areas between curves and lines, 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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560 questions

  1. Q7

    June 2025 · Paper 1

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  2. Q9

    November 2021 · Paper 3

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All 4 questions on Areas between curves and lines, as a list
  1. June 2025, Paper 1, Q7 (7 marks): In this question you must show detailed reasoning. 2 Show that the area of the finite region enclosed by the curves y x x 7 + 2 = - 125 . 2 and y x x [7] 14 9 i
  2. November 2021, Paper 3, Q9 (11 marks): The diagram shows the curve y 3 x . = - y 5 4 3 2 1 x –1 0 1 2 3 4 5 6 7 8 –1 –2 (a) Draw the line y 5 x - on the copy of the diagram in the Printed Answer Book
  3. November 2020, Paper 2, Q14 (8 marks): In this question you must show detailed reasoning. 1 - sin2x cosx. Fig. 14 shows the graphs of y = sin x cos 2x and y = 2 y 1 1 y= –sin2x cosx 2 0.5 x 0 0.5 1 y
  4. June 2019, Paper 3, Q8 (10 marks): In this question you must show detailed reasoning. x3 A is the point (1, 0), B is the point (1, 1) and D is the point where the tangent to the curve y at = B cr

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 MEI A-Level Maths past papers.

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