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O-LevelAdditional MathematicsEquations, inequalities and graphs4037/11 · May/June 2021 · Q15 Marks

(a) On the axes, sketch the graph of y = 5(x+1)(3x-2)(x-2), stating the intercepts with the coordinate axes. [Figure 1.1] (b) Hence find the values of x for which 5(x+1)(3x-2)(x-2) > 0.

  1. (a)On the axes, sketch the graph of y = 5(x+1)(3x-2)(x-2), stating the intercepts with the coordinate axes.[3]
  2. (b)Hence find the values of x for which 5(x+1)(3x-2)(x-2) > 0.[2]

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Mark scheme

Marking points from the official mark scheme (May/June 2021). The mark or mark type is shown in brackets.

  1. [3] B1 for a well-drawn cubic graph in the correct orientation with both arms extending beyond x-axis
  2. [3] B1 for x = −1, x = 2 and x = 2/3 either on the graph or stated with a cubic graph
  3. [3] B1 for y = 20 either on the graph or stated with a cubic graph
  4. [2] B1 Must be found from a cubic graph
  5. [2] B1

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About this question

Topic
Equations, inequalities and graphs, O-Level Additional Mathematics (syllabus 4037). Structured question, 5 marks.
Source
O-Level Additional Mathematics, May/June 2021 Paper 1 Variant 1, question 1.

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