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O-LevelAdditional MathematicsSeries4037/11 · May/June 2021 · Q48 Marks

The first 3 terms in the expansion of (a+x)²(1-x/3)⁵, in ascending powers of x, can be written in the form 27+ bx + cx², where a, b and c are integers. Find the values of a, b and c.

Mark scheme

Marking points from the official mark scheme (May/June 2021). The mark or mark type is shown in brackets.

  1. [8] B1 (a+x)³ = a³+3a²x+3ax² [+x³]
  2. [8] M1 allow one sign error or one arithmetic slip
  3. [8] B1
  4. [8] M1 For multiplying their terms, must have sum of 2 relevant products = b
  5. [8] A1
  6. [8] M1 For multiplying their terms, must have sum of 3 relevant products = c
  7. [8] A1

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About this question

Topic
Series, O-Level Additional Mathematics (syllabus 4037). Structured question, 8 marks.
Source
O-Level Additional Mathematics, May/June 2021 Paper 1 Variant 1, question 4.

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