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O-LevelAdditional MathematicsPermutations and combinations4037/12 · Oct/Nov 2018 · Q56 Marks

The 7th term in the expansion of (a+bx)¹² in ascending powers of x is 924x⁶. It is given that a and b are positive constants.

  1. (i)Show that b = 1/a.[2]
  2. (ii)The 6th term in the expansion of (a + bx)¹² in ascending powers of x is 198x⁵. Find the value of a and of b.[4]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2018). The mark or mark type is shown in brackets.

  1. [B1] For any correct statement
  2. [B1] Dep on first B1 Must be convinced, nfww
  3. [B1] For any correct statement
  4. [M1] For attempt to solve their equations simultaneously to obtain an equation in a² or b²
  5. [A1]
  6. [A1]

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About this question

Topic
Permutations and combinations, O-Level Additional Mathematics (syllabus 4037). Structured question, 6 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2018 Paper 1 Variant 2, question 5.

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