Back to topics
GCSE Ratio and Proportion

Scale Drawings

Learn scale drawings as part of use multiplicative reasoning in ratio, proportion, scaling, rates, similarity and real-life graph contexts.

Key idea

Find the multiplier or unit amount, then apply the same proportional change to the value you need.

What you will learn

Use scale drawings meaning confidently.
Use scale drawings representations confidently.
Use scale drawings methods confidently.
Use scale drawings applications confidently.

Success checklist

I can explain what scale drawings means.
I can choose a suitable method without being told.
I can show clear working and check my answer.

Worked example

Share £40 in the ratio 3:5.

Model method

Step 1

There are 3 + 5 = 8 parts.

Step 2

Each part is £40 ÷ 8 = £5.

Step 3

The shares are 3 × £5 and 5 × £5.

Answer

£15 and £25

Quick practice

Question 1

Share £60 in the ratio 2:3.

Question 2

5 pens cost £3. Find the cost of 12 pens.

Question 3

Increase £80 by 15%.

Related resources

These are linked to the wider Ratio and Proportion topic for now.

Browse library