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Sketching curves: CAIE IGCSE Maths questions

Every CAIE IGCSE Maths exam question on 2.11 Sketching curves, June 2024 and the specimen papers, with its mark scheme and examiner’s report.

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228 questions

  1. Q8

    June 2024 · Paper 4

    The whole paper ↗
    June 2024 Paper 4, question 8: (a) On the axes, sketch the graph of y x 2 7 x 18 . = + - On your sketch, write the values where the graph meets the x-axis and the y-axis. y O x [4] (b) (i) Fi
  2. Q22

    June 2024 (0980) · Paper 2

    The whole paper ↗
    June 2024 (0980) Paper 2, question 22: (a) For each sketch, put a ring around the correct type of function shown. (i) y x O linear cubic quadratic reciprocal exponential [1] (ii) y O x linear cubic q
  3. Q16

    Specimen · Paper 1

    The whole paper ↗
    Specimen Paper 1, question 16: The line L is shown on the grid. y 6 5 4 3 2 L 1 – 2 – 1 0 1 2 3 4 x – 1 – 2 – 3 – 4 – 5 – 6 (a) Find the equation of line L in the form y = mx + c . y = [3] 13
  4. Q24

    Specimen · Paper 2

    The whole paper ↗
    Specimen Paper 2, question 24: (a) Write x2 – 4x + 7 in the form (x – a)2 + b . [2] (b) Write down the coordinates of the turning point of the graph of y = x2 – 4x + 7 . ( , ) [1]
  5. Q26

    Specimen · Paper 2

    The whole paper ↗
    Specimen Paper 2, question 26: y 24 x – 3 0 4 – 18 f(x) = x(x + 2)(x – 3) (a) On the diagram, sketch the graph of y = f(x) for –3 ⩽ x ⩽ 4 . Show the values of the intersections with the axes.
All 5 questions on Sketching curves, as a list
  1. June 2024, Paper 4, Q8 (15 marks): (a) On the axes, sketch the graph of y x 2 7 x 18 . = + - On your sketch, write the values where the graph meets the x-axis and the y-axis. y O x [4] (b) (i) Fi
  2. June 2024 (0980), Paper 2, Q22 (7 marks): (a) For each sketch, put a ring around the correct type of function shown. (i) y x O linear cubic quadratic reciprocal exponential [1] (ii) y O x linear cubic q
  3. Specimen, Paper 1, Q16 (11 marks): The line L is shown on the grid. y 6 5 4 3 2 L 1 – 2 – 1 0 1 2 3 4 x – 1 – 2 – 3 – 4 – 5 – 6 (a) Find the equation of line L in the form y = mx + c . y = [3] 13
  4. Specimen, Paper 2, Q24 (3 marks): (a) Write x2 – 4x + 7 in the form (x – a)2 + b . [2] (b) Write down the coordinates of the turning point of the graph of y = x2 – 4x + 7 . ( , ) [1]
  5. Specimen, Paper 2, Q26 (11 marks): y 24 x – 3 0 4 – 18 f(x) = x(x + 2)(x – 3) (a) On the diagram, sketch the graph of y = f(x) for –3 ⩽ x ⩽ 4 . Show the values of the intersections with the axes.

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