Problem-Solving and Data AnalysisHardMap distance from a scale
Problem-Solving and Data Analysis practice question
On a map, 3 centimetres represent 45 kilometres. Two towns are 150 kilometres apart. How far apart, in centimetres, are they on the map?
Answer: 10
Each centimetre represents 45/3 = 15 kilometres, so 150 kilometres is 150/15 = 10 centimetres.
Common wrong answers
- If you answered 50
- 50 is 150/3, using the 3 cm as if it were 3 km.
- If you answered 2250
- 2,250 is 150 × 15, converting in the wrong direction.
- If you answered 3.33
- 3.33 is 150/45, forgetting that 45 km corresponds to 3 cm, not 1.
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