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O-LevelMathematicsAlgebra and graphs4024/12 · May/June 2023 · Q204 Marks

Expand and simplify. (4x-y)(2x+5y)

  1. (a)Expand and simplify. (4x-y)(2x+5y)[2]
  2. (b)Simplify. (x¹²/8)¹/³[2]

Mark scheme

Marking points from the official mark scheme (May/June 2023). The mark or mark type is shown in brackets.

  1. 20(a) 8x² + 18xy - 5y² final answer
  2. 20(a) B1 for 3 terms correct in 8x² – 2xy + 20xy – 5y²
  3. 20(b) x⁸/4 final answer
  4. 20(b) B1 for answer x⁸/k or xᵏ/4, any k
  5. 20(b) or for (x⁴/2)² seen or (x²⁴/64)¹/³ seen

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About this question

Topic
Algebra and graphs, O-Level Mathematics (syllabus 4024). Structured question, 4 marks.
Source
O-Level Mathematics, May/June 2023 Paper 1 Variant 2, question 20.

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