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Scales and Maps


You may or may not have noticed that maps have a scale in the corner. A map scale refers to the ratio between distance on a map and the corresponding distance in real life. Sometimes they are written as a ratio and sometimes they are drawn as a bar scale like this:

Obviously a map is much smaller than the real world and sometimes we get some pretty big numbers. For example, let's say we have a map with the scale $1:1000000$1:1000000. That means every $1$1 centimetre on the map is equivalent to $1000000$1000000cm in real life. However, to make this more meaningful, it's helpful to convert the real life measure into a different unit of measurement.

Let's do that now:


So now we can say $1cm$1cm on the map is equivalent to $10km$10km on the ground.

Let's look through some more examples of map scales.


Worked Examples

Question 1

Express the following scale as a ratio in the form $1:\editable{}$1:.

1 cm represents $240$240 cm.

  1. $1:\editable{}$1:

Question 2

A commercial plane measuring $66$66 metres long is to be represented on a scale model with a scale of $1:100$1:100. Find, in metres, the length of the plane in the scale model.

  1. Give your answer in metres, correct to 2 decimal places.


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