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O-LevelAdditional MathematicsLogarithmic and exponential functions4037/21 · May/June 2020 · Q87 Marks

Expand (2-x)⁵, simplifying each coefficient.

  1. (a)Expand (2-x)⁵, simplifying each coefficient.[3]
  2. (b)Hence solve e^( (2-x)⁵ ) × e^(80x) / e^(10x⁴+32) = e^(-x⁵).[4]

Mark scheme

Marking points from the official mark scheme (May/June 2020). The mark or mark type is shown in brackets.

  1. [B3] B2 for any four or five terms correct or B1 for any three terms correct or M1 for a fully correct but unsimplified expansion
  2. [M1] Combines powers sufficiently to be able to take logs or applies correct log laws
  3. [M1] For making use of their expansion from part (a)
  4. [M1] FT their (a) if possible; 40x² (2−x) [= 0] oe
  5. [A1] x=0, x=2 cao

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About this question

Topic
Logarithmic and exponential functions, O-Level Additional Mathematics (syllabus 4037). Structured question, 7 marks.
Source
O-Level Additional Mathematics, May/June 2020 Paper 2 Variant 1, question 8.

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