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O-LevelAdditional MathematicsTrigonometry4037/11 · May/June 2025 · Q55 Marks

Solve the equation 5|2x-1|+8 = 23.

  1. (a)Solve the equation 5|2x-1|+8 = 23.[3]
  2. (b)On the axes, sketch the graph of y = 5sinx-2 for 0° ≤ x ≤ 360°.[2]

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Mark scheme

Marking points from the official mark scheme (May/June 2025). The mark or mark type is shown in brackets.

  1. [M1] 2x - 1 = -3 and 2x - 1 = 3
  2. [A2] A1 for either correct
  3. [B1] for a correct sine curve one cycle and with correct amplitude at 3 and -7
  4. [B1] for a correct sine curve one cycle and with correct midline y = -2

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About this question

Topic
Trigonometry, O-Level Additional Mathematics (syllabus 4037). Structured question, 5 marks.
Source
O-Level Additional Mathematics, May/June 2025 Paper 1 Variant 1, question 5.

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