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O-LevelMathematicsNumber4024/11 · Oct/Nov 2019 · Q143 Marks

p = 2³ × 3 × 5² q = 2 × 3² × 5

  1. (a)Find the highest common factor (HCF) of p and q.[1]
  2. (b)Find the lowest common multiple (LCM) of p, q and 21. Give your answer as the product of prime factors.[1]
  3. (c)Find the smallest integer N, such that pN is a square number.[1]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2019). The mark or mark type is shown in brackets.

  1. [1] 30
  2. [1] 2³ × 3² × 5² × 7
  3. [1] 6

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About this question

Topic
Number, O-Level Mathematics (syllabus 4024). Structured question, 3 marks.
Source
O-Level Mathematics, Oct/Nov 2019 Paper 1 Variant 1, question 14.

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