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0580/23 Oct/Nov 2021, Question 20: Area and Volume Conversions

Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 3 marks

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The question, in short

Given a lake of area 3 km² shown as 18.75 cm² on a map, find the map scale written as 1 : n.

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

Solution · 3 marks

  1. 13 km² = 3 × 10¹⁰ cm²
  2. 2Area scale factor = 3 × 10¹⁰ ÷ 18.75 = 1.6 × 10⁹
  3. 3Length scale factor = √(1.6 × 10⁹) = 40 000
  4. 4Scale 1 : 40 000

Answer40 000

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Also searched as: 0580/23/O/N/21 · 0580_w21_qp_23 · 0580 w21 23 · question 20.
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