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O-LevelMathematicsAlgebra and graphs4024/21 · Oct/Nov 2017 · Q59 Marks

Solve y / (2y+3) = 2 / (y+5) .

  1. (a)Solve y / (2y+3) = 2 / (y+5) .[3]
  2. (b)Make t the subject of the formula p = (4t+1) / (2-t) .[3]
  3. (c)Simplify fully (3x² - 14x + 8) / (x² - 16) .[3]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2017). The mark or mark type is shown in brackets.

  1. [3] M1 for y² + 5y = 4y + 6
  2. [3] M1 for (y + 3)(y − 2) [ = 0]
  3. [3] -3, 2 nfww
  4. [3] M1 for p(2 – t) = 4t + 1 or better
  5. [3] M1FT for 2p - 1 = 4t + pt
  6. [3] M1FT for completion to explicit formula for t
  7. [3] t = (2p-1) / (4+p) or t = (1-2p) / (-4-p) final answer
  8. [3] B1 for (3x - 2)(x – 4) seen
  9. [3] B1 for (x + 4)(x – 4) seen
  10. [3] Max 2 marks if final answer incorrect
  11. [3] (3x-2) / (x+4) final answer

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About this question

Topic
Algebra and graphs, O-Level Mathematics (syllabus 4024). Structured question, 9 marks.
Source
O-Level Mathematics, Oct/Nov 2017 Paper 2 Variant 1, question 5.

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