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Solving Scale Drawing Problems

In this worksheet, students use ratios to solve problems involving scale drawings.

'Solving Scale Drawing Problems' worksheet

Key stage:  KS 2

Curriculum topic:   Ratio and Proportion

Curriculum subtopic:   Solve Shape Problems

Difficulty level:  

Worksheet Overview

The scale in a scale drawing is often shown as a ratio.

A ratio of 1:100 means that 1 cm on the drawing represents 100 cm in actual real life.

This could also be written as 1 cm:1 m or 1 cm to 1 m.

 

This means that a scale of 1 cm to 5 m could also be written as 1:500.

 

 

Example 1

Betty makes a scale drawing of her classroom.

She uses a scale of 1 cm to 2 m.

The actual length of her classroom is 10 m.

How long should she make her classroom, in cm, on her drawing?

 

Answer

The ratio is 1 cm to 2 m.

Every 2 m in real life is shown as 1 cm on the drawing.

10 m is 5 × 2 m.

On the drawing, this should be 5 cm.

 

 

Example 2

Charlie makes a scale drawing of the school hall.

The actual length of the hall is 25 m.

On his drawing, he makes the hall 5 cm long.

What scale is Charlie using?

 

Answer

The ratio is 5 cm to 25 m.

This reduces like a fraction by dividing both numbers by 5.

So the ratio is 1 cm to 5 m.

This is 1 cm to 500 cm or 1:500.

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