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O-LevelAdditional MathematicsSeries4037/22 · Oct/Nov 2015 · Q25 Marks

Find, in the simplest form, the first 3 terms of the expansion of (2 – 3x)⁶, in ascending powers of x.

  1. (i)Find, in the simplest form, the first 3 terms of the expansion of (2 – 3x)⁶, in ascending powers of x.[3]
  2. (ii)Find the coefficient of x² in the expansion of (1 + 2x)(2 – 3x)⁶.[2]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2015). The mark or mark type is shown in brackets.

  1. [B1B1B1] (i) (2 - 3x)⁶ = 64 – 576x + 2160x² isw
  2. [M1] (ii) 2160 × 2x - 576 = 1008 their final 2160 + 2 × their final -576
  3. [A1] (ii)

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About this question

Topic
Series, O-Level Additional Mathematics (syllabus 4037). Structured question, 5 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2015 Paper 2 Variant 2, question 2.

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