GCSE Ratio and Proportion

Real-Life Graphs

Learn real-life graphs 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 real-life graphs meaning confidently.

Use real-life graphs representations confidently.

Use real-life graphs methods confidently.

Use real-life graphs applications confidently.

✓I can explain what real-life graphs means.

✓I can choose a suitable method without being told.

✓I can show clear working and check my answer.

Worked example

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

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%.

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

A compact Ratio and Proportion summary with key facts, methods, reminders and common mistakes.

GCSE exam-style Ratio and Proportion questions with mixed practice, marks-style prompts and model answers.