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0580/43 May/Jun 2025, Question 3: Real Numbers

Cambridge IGCSE Mathematics 0580 · Paper 43 (Extended) · Calculator · 2 marks

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The question, in short

From the list 2/5, √15, 23, √144, −2, 0.8, identify one natural number and one irrational number.

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

Part (a) · 1 mark

Choose a natural number from the given list.

  1. 1Natural numbers are 1, 2, 3, …
  2. 223 (or √144 = 12)

Answer23 or √144

Part (b) · 1 mark

Choose an irrational number from the given list.

  1. 1√15 cannot be written as a fraction (15 is not a square number)
  2. 2Irrational number: √15

Answer√15

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