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0580/31 Oct/Nov 2025, Question 5: Ordering Values

Cambridge IGCSE Mathematics 0580 · Paper 31 (Core) · Calculator · 5 marks

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The question, in short

Calculate three numerical values and arrange four given numbers from smallest to largest.

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

Part (ai) · 1 mark

Find the square root of 1.96.

  1. 1√1.96 = 1.4 (because 1.4² = 1.96)

Answer1.4

Part (aii) · 1 mark

Work out 17 cubed.

  1. 117³ = 17 × 17 × 17 = 4913

Answer4913

Part (aiii) · 1 mark

Multiply −0.8 by −1.2.

  1. 1Negative × negative = positive: 0.8 × 1.2 = 0.96

Answer0.96

Part (b) · 2 marks

Order 11/19, 58%, 27/47 and 0.574 from smallest to largest.

  1. 111/19 = 0.5789…, 58% = 0.58, 27/47 = 0.5744…, 0.574
  2. 20.574 < 0.5744… < 0.5789… < 0.58
  3. 30.574, 27/47, 11/19, 58%

Answer0.574, 27/47, 11/19, 58%

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