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O-LevelMathematicsNumber4024/13 · May/June 2025 · Q113 Marks

A green light flashes every 12 minutes. A red light flashes every 45 minutes. The two lights flash together at 9 am. Find the next time when the two lights will flash together.

  1. A green light flashes every 12 minutes. A red light flashes every 45 minutes. The two lights flash together at 9 am. Find the next time when the two lights will flash together.[3]

Mark scheme

Marking points from the official mark scheme (May/June 2025). The mark or mark type is shown in brackets.

  1. [3] 12:00 or 12 pm
  2. B2 for 180 identified as LCM soi
  3. or M1 for 2² × 3 or 3² × 5 seen
  4. or list of at least three times 12, 24,36... etc and 45, 90, 135... etc soi
  5. or list of at least three times eg 9.12, 9.24, 9.36 etc and 9.45, 10.30, 11.15 soi

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About this question

Topic
Number, O-Level Mathematics (syllabus 4024). Structured question, 3 marks.
Source
O-Level Mathematics, May/June 2025 Paper 1 Variant 3, question 11.

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