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Rational functions and graphs: CAIE A‑Level Further Maths questions

Every CAIE A-Level Further Maths exam question on 1.2 Rational functions and graphs, June 2024 and the specimen papers, with its mark scheme and examiner’s report.

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56 questions

  1. Q6

    June 2024 · Paper 1

    The whole paper ↗
    June 2024 Paper 1, question 6: x 2 ax + , where a 1 6 The curve C has equation y + 2 5 . = x + 2 2 (a) Find the equations of the asymptotes of C. [3] (b) Show that C has no stationary points.
  2. Q7

    Specimen · Paper 1

    The whole paper ↗
    Specimen Paper 1, question 7: x 2 - 3 x - 2 7 The curve C has equation y = x . 2 - 2 x + 1 (a) State the equations of the asymptotes of C. [2] (b) Show that y ⩽ 12 25 at all points on C. [4]
All 2 questions on Rational functions and graphs, as a list
  1. June 2024, Paper 1, Q6 (15 marks): x 2 ax + , where a 1 6 The curve C has equation y + 2 5 . = x + 2 2 (a) Find the equations of the asymptotes of C. [3] (b) Show that C has no stationary points.
  2. Specimen, Paper 1, Q7 (17 marks): x 2 - 3 x - 2 7 The curve C has equation y = x . 2 - 2 x + 1 (a) State the equations of the asymptotes of C. [2] (b) Show that y ⩽ 12 25 at all points on C. [4]

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