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Ratio, proportion and rates of change

5 dot points across 5 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

How do you calculate with compound measures such as speed, density and pressure, including unit conversions?

Use compound measures including speed, density and pressure; rearrange the defining formulae; and convert between units such as m/s and km/h.
A focused answer to the Eduqas GCSE Mathematics ratio content on compound measures, covering speed, density and pressure, rearranging the defining formulae, and converting between units such as metres per second and kilometres per hour.
11 min answer →

How do you solve direct and inverse proportion problems and form proportion equations using a constant of proportionality?

Solve problems involving direct and inverse proportion, including using the unitary method and forming proportion equations of the form $y = kx$ or $y = \dfrac{k}{x}$ with a constant of proportionality (Higher tier).
A focused answer to the Eduqas GCSE Mathematics ratio content on direct and inverse proportion, covering the unitary method, forming proportion equations with a constant of proportionality, and proportion to powers at Higher tier.
11 min answer →

How do you model growth and decay over time and interpret the gradient and area of a real-life graph as a rate of change?

Model exponential growth and decay over repeated periods; and interpret the gradient of a graph as a rate of change and the area under a graph in real-life contexts (Higher tier).
A focused answer to the Eduqas GCSE Mathematics ratio content on growth, decay and rates of change, covering exponential growth and decay multipliers, the gradient of a graph as a rate, and the area under a graph in real-life contexts.
11 min answer →

How do you work out percentage change, reverse percentages and compound interest using a multiplier?

Calculate percentage increase and decrease, find the percentage change between two values, solve reverse percentage problems, and apply repeated percentage change including compound interest using multipliers.
A focused answer to the Eduqas GCSE Mathematics ratio content on percentage change, covering increase and decrease with multipliers, percentage change between values, reverse percentages, and compound interest.
12 min answer →

How do you simplify ratios, divide a quantity in a given ratio, and use ratios with scale and similar shapes?

Use ratio notation; simplify ratios and express them in the form $1:n$ ; divide a quantity in a given ratio; and apply ratio to scale drawings, maps and similar shapes.
A focused answer to the Eduqas GCSE Mathematics ratio content, covering ratio notation, simplifying ratios and the form 1 to n, dividing a quantity in a given ratio, and applying ratio to scale drawings, maps and similar shapes.
11 min answer →