Find the ratio of quantities in the form \(a : b\) and simplify.

Find the ratio of quantities in the form \(1 : n\).

e.g. \(50 cm : 1.5 m = 50 : 150 = 1 : 3\)

Split a quantity into two parts given the ratio of the parts.

e.g. £2.50 in the ratio 2 : 3

Express the division of a quantity into two parts as a ratio.

Calculate one quantity from another, given the ratio of the two quantities.

Split a quantity into three or more parts given the ratio of the parts.

Interpret a ratio of two parts as a fraction of a whole.

e.g. £9 split in the ratio 2 : 1 gives parts \(\dfrac{2}{3} × £9 \) and \(\dfrac{1}{3} × £9 \).

[see also Fractions of a quantity, 2.01c]

Solve simple ratio and proportion problems.

e.g. Adapt a recipe for 6 for 4 people.

Understand the relationship between ratio and linear functions.