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O-LevelMathematicsNumber4024/11 · Oct/Nov 2022 · Q113 Marks

11 (a) Write 120 as a product of its prime factors. (b) 315 = 3² × 5 × 7. Use this information to find the smallest integer value of n, such that 315n is a square number.

  1. (a)Write 120 as a product of its prime factors.[2]
  2. (b)315 = 3² × 5 × 7. Use this information to find the smallest integer value of n, such that 315n is a square number.[1]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2022). The mark or mark type is shown in brackets.

  1. [2] 2×2×2×3×5 or 2³×3×5
  2. B1 for full list of prime factors, not as product
  3. or M1 for any two stages correct in factor tree or ladder method
  4. [1] 35

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About this question

Topic
Number, O-Level Mathematics (syllabus 4024). Structured question, 3 marks.
Source
O-Level Mathematics, Oct/Nov 2022 Paper 1 Variant 1, question 11.

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