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Equations, inequalities and graphs: CAIE IGCSE Additional Maths questions

Every CAIE IGCSE Additional Maths exam question on 4 Equations, inequalities and graphs, June 2024 and the specimen papers, with its mark scheme and examiner’s report.

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46 questions

  1. Q1

    June 2024 · Paper 1

    5 marks4 Equations, inequalities and graphs
    The whole paper ↗
    June 2024 Paper 1, question 1: 1 (a) On the axes, sketch the graph of y ( x 2 2 )( x 1 )( x 5 ) , stating the intercepts with the =- + - + 5 axes. [3] y x O 1 (b) Hence solve the inequality (

  2. Q1

    June 2024 · Paper 2

    5 marks4 Equations, inequalities and graphs
    The whole paper ↗
    June 2024 Paper 2, question 1: (a) On the axes, sketch the graph of y 4 x 6 , showing the points where the graph meets the = - axes. [2] y O x (b) Solve the equation 4 x 6 2 x . [3] - =

  3. Q1

    Specimen · Paper 1

    3 marks4 Equations, inequalities and graphs3 Factors of polynomials
    The whole paper ↗
    Specimen Paper 1, question 1: y 10 – 1 0 0.5 2 x The diagram shows the graph of y = |f(x)| , where f(x) is a cubic function. Find the possible expressions for f(x) in factorised form. [3]

  4. Q1

    Specimen · Paper 2

    6 marks4 Equations, inequalities and graphs
    The whole paper ↗
    Specimen Paper 2, question 1: (a) Solve the equation 5|5x – 7| – 1 = 14 . [3] (b) y 2 1 x – 2 – 1 0 1 2 – 1 – 2 The diagram shows the graph of y = f(x) , where f(x) = 2(x + 1)2(x – 1) . Use
All 4 questions on Equations, inequalities and graphs, as a list
  1. June 2024, Paper 1, Q1 (5 marks): 1 (a) On the axes, sketch the graph of y ( x 2 2 )( x 1 )( x 5 ) , stating the intercepts with the =- + - + 5 axes. [3] y x O 1 (b) Hence solve the inequality (
  2. June 2024, Paper 2, Q1 (5 marks): (a) On the axes, sketch the graph of y 4 x 6 , showing the points where the graph meets the = - axes. [2] y O x (b) Solve the equation 4 x 6 2 x . [3] - =
  3. Specimen, Paper 1, Q1 (3 marks): y 10 – 1 0 0.5 2 x The diagram shows the graph of y = |f(x)| , where f(x) is a cubic function. Find the possible expressions for f(x) in factorised form. [3]
  4. Specimen, Paper 2, Q1 (6 marks): (a) Solve the equation 5|5x – 7| – 1 = 14 . [3] (b) y 2 1 x – 2 – 1 0 1 2 – 1 – 2 The diagram shows the graph of y = f(x) , where f(x) = 2(x + 1)2(x – 1) . Use

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