GCSE · Ratio

Scale drawings and map scales (1 cm represents…, 1 : n)Exam-style questions

Turn a length on a map or scale drawing into a real length and back again: use a scale written as "1 cm represents 5 km", as a scale bar or as a ratio 1 : n, change the units inside a ratio scale, write any scale in the form 1 : n, follow a route instead of a straight line, measure and draw to scale, and scale an area by the square of the scale.

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14 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 2 Level 3 Level 4

1
A map has a scale of $1 : 60\,000$

A footpath on the map is $6.5$ cm long.

Work out the length of the real footpath.

Give your answer in metres.

(2 marks)
Level 2 · 2 marksTry it
2
Write the scale $1$ cm represents $8$ km in the form $1 : n$

(2 marks)
Level 2 · 2 marksTry it
3
A model of a ship is made to a scale of $1 : 250$

The real ship is $85$ m long.

Work out the length of the model.

Give your answer in centimetres.

(2 marks)
Level 2 · 2 marksTry it
4
A railway tunnel is $2.7$ km long.

The tunnel is shown on a map with a scale of $1 : 30\,000$

How long is the tunnel on the map?

Give your answer in centimetres.

(3 marks)
Level 3 · 3 marksTry it
5
A map uses the scale $2$ cm represents $7$ km.

Kofi saysThis scale is $1 : 3.5$ when it is written as a ratio.(a) Describe the error Kofi has made.

(1 mark)
(b) Write the scale of the map in the form $1 : n$ .

(2 marks)
Level 3 · 3 marksTry it

9 more questions on scale drawings and map scales (1 cm represents…, 1 : n)

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