Ratio, gradients, similarity and growth

More ratio for the exam: one quantity as a fraction of another, ratio notation with units, ratios as linear functions, gradients as rates, similar shapes through length, area and volume ratios, and repeated percentage change.

Start: Fractions, ratio notation and linear functionsAbout 30 min, free

Lessons

Practise and test

Mixed reviewQuestions mixed across your lessons.

By the end you can

Write one quantity as a fraction or percentage of another, and use ratio notation with mixed units
Turn a ratio into fractions and into an equation y = kx, and read a ratio from a graph
Read the gradient of a straight-line graph as a rate with units, and the intercept as a starting value
Use scale factors and similar triangles in ratio problems, and (Higher) the area and volume ratios of similar shapes
Work out repeated percentage change with multipliers, year by year or with a power, and (Higher) reverse it

Specifications

DfE content (all boards) R3, R4, R6, R8, R12, R14, R15, R16, G19
AQA 8300 Ratio, proportion and rates of change
Pearson Edexcel 1MA1 Ratio, proportion and rates of change
OCR J560 5 Ratio, proportion and rates of change

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