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Equations of lines: OCR MEI A‑Level Further Maths questions

OCR MEI A-Level Further Maths past-paper questions on 6.1 Equations of 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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841 questions

  1. Q11

    June 2025 · Core Pure

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  2. Q13

    June 2022 · Core Pure

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  3. Q8

    November 2020 · Core Pure

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  5. Q12

    June 2019 · Core Pure

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All 5 questions on Equations of lines, as a list
  1. June 2025, Core Pure, Q11 (14 marks): The lines l1 and l2 have equations y 1 x z 3 + 2 - - l1: l2: r 2 i j 3 k ( i cj 2 k ) = = = + + + m - + + a b 1 where a, b and c are constants. (a) In the case
  2. June 2022, Core Pure, Q13 (17 marks): The points A and B have coordinates (4, 0, -1) and (10, 4, -3) respectively. The planes P and 1 P have equations x y = and x y z 2 5 2 3 - = - respectively. 4 -
  3. November 2020, Core Pure, Q8 (9 marks): K O K O K O K O 8 (a) Given that the lines r 2 1 OO and r 2 3 OO meet, determine k. [5] = KK OO + m KK = KK OO + n KK 2 3 k 4 L P L P L P L P (b) In this questi
  4. November 2020, Core Pure, Q15 (17 marks): (a) Show that the three planes with equations x y z 3 12 + m + = - x y z 2 5 11 + + = - x y z 2 2 9 - + = - where m is a constant, meet at a unique point except
  5. June 2019, Core Pure, Q12 (9 marks): Three intersecting lines L1, L2 and L3 have equations x y z x y z x y z 1 2 4 - - + L : , L : and L : . = = = = - = = 2 3 1 1 2 4 1 1 5 1 2 3 Find the area of t

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