Loading please wait

The smart way to improve grades

Comprehensive & curriculum aligned

Try an activity or get started for free

Understand Conversion in Scale Drawings

In this worksheet, students will practise converting between real life and scale lengths.

'Understand Conversion in Scale Drawings' worksheet

Key stage:  KS 4

GCSE Subjects:   Maths

GCSE Boards:   AQA, Eduqas, Pearson Edexcel, OCR,

Curriculum topic:   Geometry and Measures, Mensuration

Curriculum subtopic:   Mensuration and Calculation Units and Measurement

Difficulty level:  

Worksheet Overview

It's not always the best idea to have things full size. A map would be useless if it were full size; a toy car doesn't really need to be the same size as a normal car.

When we have this issue, we use a scale diagram or a scale model.

 

What is a scale diagram?

A scale diagram is just a diagram where everything has been reduced by the same factor - it could be half the size, a tenth of the size or anything else.

 

How are scales written?

Scales are written as a ratio such as 1 : 100 or 1 : 50 000

 

What does this mean?

Scales are read from left to right. The scale 1 : 100 for example, would mean that every 1 unit of length on the scale is the same as 100 units of that same length  in real life.

So something that was 2 cm long on the scale would be 200 cm long in real life.

 

Example 1:

A car is 3 m tall. If the scale is 1 : 100, how tall would a model of the car be?

 

We know that there is a factor of 100 and that the model is smaller.

All we need to do here is change the units into cm and divide by the scale factor.

3 m = 300 cm

300 ÷ 100 = 3 cm

The model car would be 3 cm tall.

 

Example 2:

A model is made of a 2 m tall man. If the model is 4 cm tall, what is the scale?

 

The first thing we should notice here is that the units are different, so we need to make them the same.

2 m = 200 cm 

Step 2 is to write these numbers as a ratio (remember the model comes first))

4 : 200

Out third and final step is to simplify this ratio. In this example, we can divide both numbers by 4 to give

1 : 50

 

Now let's have a go at some questions on this.

What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Get started
laptop

Try an activity or get started for free

  • educational
  • bettfutures
  • cxa
  • pta
  • era2016
  • BDA award
  • Explore LearningTuition Partner
  • tacm