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Numerical solution of equations: CAIE A‑Level Maths questions

Every CAIE A-Level Maths exam question on 3.6 Numerical solution of equations, June 2024 and the specimen papers, with its mark scheme and examiner’s report.

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100 questions

  1. Q6

    June 2024 · Paper 3

    9 marks3.6 Numerical solution of equations
    The whole paper ↗
    June 2024 Paper 3, question 6: (a) By sketching a suitable pair of graphs, show that the equation cosec x 1 ex - has exactly one 3 = 2 root, denoted by a, in the interval 0 1 x 1 . [2] r (b)

  2. Q4

    Specimen · Paper 3

    9 marks3.6 Numerical solution of equations3.4 Differentiation
    The whole paper ↗
    Specimen Paper 3, question 4: The parametric equations of a curve are x = e2t–3, y = 4 ln t, where t > 0. When t = a the gradient of the curve is 2. 1 (3 – ln a). (a) Show that a satisfies t
All 2 questions on Numerical solution of equations, as a list
  1. June 2024, Paper 3, Q6 (9 marks): (a) By sketching a suitable pair of graphs, show that the equation cosec x 1 ex - has exactly one 3 = 2 root, denoted by a, in the interval 0 1 x 1 . [2] r (b)
  2. Specimen, Paper 3, Q4 (9 marks): The parametric equations of a curve are x = e2t–3, y = 4 ln t, where t > 0. When t = a the gradient of the curve is 2. 1 (3 – ln a). (a) Show that a satisfies t

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