Ratio & Proportion

Understand scaling, simplifying ratios, and sharing amounts.

What you'll learn

Core 11+ exam skills

Simplifying Ratio

Develop foundational techniques logically.

Sharing in a Ratio

Apply mathematical rules to varying scenarios.

Direct Proportion

Learn to track calculations dynamically.

Scaling Recipes

Verify accuracy and solve efficiently.

The mechanics of Ratio & Proportion

Simplifying

Divide both sides by the HCF.

Finding 1 Part

Divide the total amount by the total ratio parts.

Proportion

If 2 items cost £4, 5 items cost £10.

Similar Shapes

Using ratio to find missing side lengths.

💡

Ratio order matters! Boys:Girls is different to Girls:Boys.

🔄

Ratios behave exactly like fractions when simplifying.

➕

Always find the value of "1 part" first in sharing problems.

➖

Direct proportion: as one goes up, the other goes up at the same rate.

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