Maps & Scale Drawings

This lesson covers:

  1. How to use scales to convert distances on models to distances in real life

The diagram below shows a scale model of a shipping boat.


The real length of the shipping boat is 350 m.


Calculate the scale of the model.

Scale model of a shipping boat measuring 1.4 metres in length.
250

1 : 

1 : 

0

/

1

A model car has a length of 7 cm. 


The scale of the model is 1 : 50


Work out the length of the real car. 

3.5

m

m

0

/

1

Assume that each square on the scale diagram below is 0.5 cm by 0.5 cm. The scale factor of the diagram is 1 : 10.


Calculate the real height of the plan.

Scale drawing of a plant with a scale factor of 1 to 10, showing grid squares of 0.5 cm by 0.5 cm.
45

cm

cm

0

/

1

A map has a scale of 1 : 200,000


The distance between two points on the map is 4 cm. 


Work out the real distance between the two points.

8

km

km

0

/

1

A model plane has a length of 15 cm. 


The scale of the model is 1 : 250


Work out the length of the real plane. 

37.5

m

m

0

/

1

Corey is about to walk from his home to a nearby mountain, and has sketched out his journey on the map below. His route is 12 cm on the map, and the scale of the map is 1 cm = 30 m.


Calculate the actual distance Corey will have to walk to reach the mountain.

Map showing a 12 cm route from a person to a mountain with a scale of 1 cm equals 30 m.
360

m

m

0

/

1

A map has a scale of 1 : 120,000


The distance between two points on the map is 14 cm. 


Work out the real distance between the two points.

16.8

km

km

0

/

1

Using the key on the map below, find the real distance between points A and B.

Map showing the distance between points A and B with a scale of 1cm equals 228 miles.
5700

miles

miles

0

/

1