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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Sharing by ratio

Sharing by ratio is a useful skill in everyday life,

Ratios in the form of n to 1

Ratios help us compare quantities, and simplifying them in the

Ratios in the form of 1 to n

Ratios are everywhere—from mixing drinks to reading maps! Simplifying

Simplifying ratios worksheet

Ratios are everywhere—from mixing paint colors to adjusting a

Inverse proportion to the square root

Inverse proportion to the square root occurs when one quantity

Direct proportion to the square root

Direct proportion to the square root occurs when one quantity

Inverse proportion to the cube

Inverse proportion to the cube occurs when one quantity decreases

Inverse proportion to the square

Inverse proportion to the square occurs when one quantity decreases

Direct proportion to the cube

Direct proportion to the cube is when one quantity increases

Direct proportion to the square

Direct proportion to the square is when one quantity increases