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0580/12 Oct/Nov 2023, Question 23: HCF and LCM

Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Calculator · 3 marks

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The question, in short

Two bells ring at intervals of 22 and 14 minutes, both ringing at 09 00. Find the next time they ring together.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Solution · 3 marks

  1. 122 = 2 × 11, 14 = 2 × 7
  2. 2LCM = 2 × 7 × 11 = 154 minutes = 2 h 34 min
  3. 309 00 + 2 h 34 min = 11 34

Answer11 34

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