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O-LevelMathematicsNumber4024/12 · May/June 2021 · Q104 Marks

Write 270 as the product of its prime factors.

  1. (a)Write 270 as the product of its prime factors.[2]
  2. (b)Find the highest common factor (HCF) of 270 and 225.[2]

Mark scheme

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

  1. [2] (a) 2 × 3³ × 5
  2. [2] (a) B1 for 2, 3, 3, 3, 5 not as product or M1 for any two stages correct in factor tree or ladder method
  3. [2] (b) 45
  4. [2] (b) M1 for [225 = ] 3 [×] 3 [×] 5 [×] 5 or for [HCF = ] 3 × 3 × 5 seen

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About this question

Topic
Number, O-Level Mathematics (syllabus 4024). Structured question, 4 marks.
Source
O-Level Mathematics, May/June 2021 Paper 1 Variant 2, question 10.

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