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RatioShort answer · 2 marks

On Arun's town map, 3 cm represents 15 km. How many centimetres on the map represent 45 km?

Need a hint?

Compare the actual distance 45 km with 15 km first. The map distance must increase by the same factor.

Worked answer

  1. 45 ÷ 15 = 3, so the map distance is 3 times as large.
  2. 3 × 3 = 9 cm.
Answer: 9 cm

The mistake this question tests

Habit

Stopped at one part in ratio

Multiplying 45 by 3 gives 135, but 3 cm already represents 15 km, so the scale factor must be found first.

How to fix it at home →

Wrong answers children often give:

  • 15 Stopped at one part in ratio
  • 135 Calculation slip

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