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O-LevelAdditional MathematicsQuadratic functions4037/21 · May/June 2025 · Q25 Marks

In this question, k is a constant. It is given that 2x² + (3k-2)x+k = 0 has roots that are real and distinct. Find the set of possible values of k.

  1. Find the set of possible values of k.[5]

Mark scheme

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

  1. [M1] Uses b²-4ac * could be any inequality sign or =
  2. [A1] Correctly simplifies to 3-term quadratic 9k² - 20k + 4[*0]
  3. [M1] FT Factorises or solves their 3-term quadratic (9k-2)(k-2)
  4. [A1] Critical values 2/9, 2
  5. [A1] Mark final answer k < 2/9 k > 2

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About this question

Topic
Quadratic functions, O-Level Additional Mathematics (syllabus 4037). Structured question, 5 marks.
Source
O-Level Additional Mathematics, May/June 2025 Paper 2 Variant 1, question 2.

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