Ratio and proportion

This part of maths is about comparing quantities and understanding how one value changes in relation to another. It appears in many real-life GCSE contexts, including recipes, maps, prices, speed, density, pressure, percentages and growth. These worksheets are useful for students who can often “do the calculation” but need more practice choosing the right method from the wording of a problem.


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Writing Ratios as Linear Functions

A fixed ratio links two quantities by a constant multiplier.

Writing Ratios as Fractions

Ratios describe how parts of a total relate to each

Density, mass and volume

Density tells us how tightly packed the matter in an

Speed, distance and time

Practise using the speed, distance and time formula. This worksheet

Distance-time graphs

Distance-time graphs show how far a traveller is from

Best buys

When shopping, the pack with the lowest price is not

Scale drawings

A scale drawing shows a real object or place with

Direct and inverse proportion

Direct and inverse proportion describe relationships between quantities as their

Distance calculations

Whether you're working out how far your friend

Force calculations

Force calculations using pressure and area are crucial in understanding