ECZ 2015 · O-Level Paper 1 — Similarity and Congruency

A map of a settlement area is drawn to a scale of 1 : 40 000. If the actual area of the settlement is 200 square kilometres, calculate the area of the settlement on the map in square centimetres.

  • A. 500 cm²
  • B. 125 cm²
  • C. 1 250 cm²
  • D. 12 500 cm²

Verified working — step 1

1 cm represents 40 000 cm = 0.4 km, so 1 cm² represents 0.4² = 0.16 km². Map area = 200 ÷ 0.16 = …

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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