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0580/13 May/Jun 2025, Question 3: Square Roots

Cambridge IGCSE Mathematics 0580 · Paper 13 (Core) · Non-calculator · 5 marks

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The question, in short

Five short arithmetic items: find a square root, evaluate powers including a negative index, divide two negative numbers, and multiply two decimals.

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

Part (a) · 1 mark

State the square root of 169.

  1. 113 × 13 = 169, so √169 = 13

Answer13

Part (b) · 1 mark

Calculate the value of 2 to the power 4.

  1. 12⁴ = 2 × 2 × 2 × 2 = 16

Answer16

Part (c) · 1 mark

Calculate the value of 10 raised to the power −2.

  1. 110⁻² = 1/10² = 1/100 = 0.01

Answer1/100 or 0.01

Part (d) · 1 mark

Calculate −18 divided by −4.

  1. 1Negative ÷ negative is positive: 18 ÷ 4 = 4.5

Answer9/2 or 4.5 or 4 1/2

Part (e) · 1 mark

Calculate 1.6 multiplied by 0.02.

  1. 116 × 2 = 32; 3 decimal places in total
  2. 21.6 × 0.02 = 0.032

Answer0.032

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