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A-LevelMathematicsSeries9709/12 · Feb/Mar 2020 · Q86 Marks

A woman's basic salary for her first year with a particular company is $30000 and at the end of the year she also gets a bonus of $600.

  1. (a)For her first year, express her bonus as a percentage of her basic salary.[1]
  2. (b)Express the bonus she will be paid at the end of her 24th year as a percentage of the basic salary paid during that year.[5]

Mark scheme

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

  1. [B1] (a) 2%
  2. [B1] (b) Bonus = 600+23×100 = 2900
  3. [M1] (b) Salary = 30000×1.03²³ Allow 30000×1.03²⁴ (60984)
  4. [A1] (b) = 59207.60 Allow answers of 3significant figure accuracy or better
  5. [M1] (b) their 2900 / their 59200 SOI
  6. [A1] (b) 4.9(0)%

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About this question

Topic
Series, A-Level Mathematics (syllabus 9709). Structured question, 6 marks.
Source
A-Level Mathematics, Feb/Mar 2020 Paper 1 Variant 2, question 8.

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