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Loci and conic problems: OCR MEI A‑Level Further Maths questions

OCR MEI A-Level Further Maths past-paper questions on 4.3 Loci and conic problems, 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. Q1

    June 2025 · Further Pure with Technology

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  2. Q1

    November 2021 · Further Pure with Technology

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  3. Q2

    November 2021 · Further Pure with Technology

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All 3 questions on Loci and conic problems, as a list
  1. June 2025, Further Pure with Technology, Q1 (21 marks): A family of curves is given by the cartesian equation 2 2 y x mxy 1 + + = 2 2 a b where a, b and m are real numbers with a and b non-zero. (a) In this part of t
  2. November 2021, Further Pure with Technology, Q1 (9 marks): A family of circles is given by the equation 2 2 ( x 2 cos a ) ( y 2 sin a ) = (*) 1 - + - where the parameter a satisfies 0 a 1 2 . G r (a) Use a slider (for a
  3. November 2021, Further Pure with Technology, Q2 (12 marks): 2 This question is about the family of straight lines which pass through the points (0, a) and ( , 1 a ) where the parameter a is any real number. (a) In terms

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