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0580/33 Oct/Nov 2025, Question 18: Using a Calculator

Cambridge IGCSE Mathematics 0580 · Paper 33 (Core) · Calculator · 2 marks

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The question, in short

Calculate two numerical values: a square root of a combined expression, and a negative power.

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

Part (a) · 1 mark

Evaluate √((8.4² + 9.3) ÷ 26.5).

  1. 18.4² + 9.3 = 70.56 + 9.3 = 79.86
  2. 279.86 ÷ 26.5 = 3.0135…
  3. 3√3.0135… = 1.7359… ≈ 1.74

Answer1.74 or 1.735 to 1.736

Part (b) · 1 mark

Evaluate 4⁻³.

  1. 14⁻³ = 1/4³ = 1/64 = 0.015625

Answer0.015625 or 1/64

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