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O-LevelMathematicsAlgebra and graphs4024/11 · May/June 2021 · Q238 Marks

a = b²+c / d

  1. (a)(i)Find a when b = 4× 10², c = 6×10³ and d = 2×10². Write your answer in standard form.[3]
  2. (a)(ii)Rearrange the formula to make b the subject.[3]
  3. (b)m×10⁴+m× 10² = 36 360 Work out m×10⁴ -m × 10².[2]

Mark scheme

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

  1. [3] (a)(i) 8.3 × 10² cao
  2. M2 for answer figs 83
  3. M1 for figs 166 seen
  4. M1 for 8×10² +3×10¹
  5. [3] (a)(ii) b = [±] √ad - c final answer
  6. M1 for correct first step
  7. M1 FT for isolation of b²
  8. M1 FT for square root taken
  9. [2] (b) 35 640
  10. M1 for m = 3.6 soi
  11. M1 for 36360 / 10100

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About this question

Topic
Algebra and graphs, O-Level Mathematics (syllabus 4024). Structured question, 8 marks.
Source
O-Level Mathematics, May/June 2021 Paper 1 Variant 1, question 23.

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