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Ratio, proportion and rates of change

4 dot points across 4 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

How do you recognise and solve direct and inverse proportion problems?

Recognising direct and inverse proportion, setting up and using proportion equations with a constant, and interpreting their graphs.
A focused answer to the AQA GCSE Mathematics content on direct and inverse proportion, covering recognising each type, setting up and using proportion equations with a constant of proportionality, and interpreting their graphs.
9 min answer →

How do you work out percentage increase and decrease, reverse percentages and compound interest?

Percentage increase and decrease using multipliers, reverse percentages, and simple and compound interest including depreciation.
A focused answer to the AQA GCSE Mathematics content on percentage change and interest, covering percentage increase and decrease using multipliers, reverse percentages, and simple and compound interest including depreciation.
9 min answer →

How do you read rates of change from graphs including distance-time and velocity-time graphs?

Interpreting distance-time and velocity-time graphs, finding gradients as rates and areas as totals, and estimating gradients of curves at Higher tier.
A focused answer to the AQA GCSE Mathematics content on rates of change and graphs, covering distance-time and velocity-time graphs, the gradient as a rate and area as a total, and estimating the gradient of a curve at Higher tier.
9 min answer →

How do you use ratio with scale drawings, maps and combining ratios?

Using ratio with scale factors, map scales and scale drawings, converting between ratio forms, and combining ratios that share a part.
A focused answer to the AQA GCSE Mathematics content on ratio and scale, covering scale factors, map scales and scale drawings, converting between ratio forms, and combining ratios that share a common part.
8 min answer →