Edexcel IGCSE Math A 4.11.B maps and scale drawings

Practise scale-drawing questions by applying the stated scale, converting units and comparing model or real-world lengths.

Exam points

Use a map scale to calculate a real distance in kilometres or metres accurately.
Convert a real object length to a scale-model length using the given ratio.
Compare drawn and real distances after keeping units consistent throughout.

[Maximum number: 4]

Here is a scale drawing showing the positions of Paris and Bordeaux.

Figure for Question 4.11.B Maps and scale drawings question 1 — Edexcel IGCSE Math A Foundation

Alain drives from Paris to Bordeaux.
The distance that he drives is 590 km .
This distance is greater than the actual straight line distance between Paris and Bordeaux.

How much greater?
Show your working clearly.

Scale drawing measurement:
$6\text{ cm to }6.4\text{ cm}$

Straight-line distance:
$6\times80=480$
to
$6.4\times80=512$

Difference from $590\text{ km}$ :
590-512=78
to
590-480=110

Final answer:
$78\text{ to }110\text{ km}$

Working required.

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4.11.B Maps and scale drawings question 1