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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 use the formulae for speed, density and pressure, and convert between compound units?

Compound measures: speed, distance and time; density, mass and volume; pressure, force and area; and converting between compound units such as metres per second and kilometres per hour.
A focused answer to the Edexcel GCSE Mathematics ratio content on compound measures, covering speed, distance and time, density, mass and volume, pressure, force and area, and converting between compound units.
9 min answer →

How do you solve direct and inverse proportion problems, including using the unitary method and proportion formulae?

Direct and inverse proportion: the unitary method, recognising and using proportion relationships, and forming and using proportion equations with a constant of proportionality (Higher tier).
A focused answer to the Edexcel GCSE Mathematics ratio content on direct and inverse proportion, covering the unitary method, recognising proportion relationships, and forming proportion equations with a constant of proportionality at Higher tier.
9 min answer →

How do you model repeated growth and decay, and find rates of change from graphs including gradients and areas?

Growth and decay problems (including compound growth and depreciation), interpreting the gradient of a graph as a rate of change, and estimating the gradient of a curve and the area under a graph (Higher tier).
A focused answer to the Edexcel GCSE Mathematics ratio content on growth, decay and rates of change, covering compound growth and depreciation, interpreting the gradient of a graph as a rate, and estimating gradients of curves and areas under graphs.
9 min answer →

How do you calculate percentage change, use multipliers for increase and decrease, find a reverse percentage, and work out compound interest?

Percentage change: percentage increase and decrease using multipliers, percentage profit and loss, reverse percentages (finding the original amount), and simple and compound interest.
A focused answer to the Edexcel GCSE Mathematics ratio content on percentage change and interest, covering percentage increase and decrease with multipliers, percentage profit and loss, reverse percentages, and simple and compound interest.
10 min answer →

How do you simplify ratios, divide a quantity in a given ratio, and use scale factors and scale drawings?

Ratio: simplifying ratios, dividing a quantity in a given ratio, expressing ratios as fractions and unit ratios, combining ratios, and using scale factors, maps and scale drawings.
A focused answer to the Edexcel GCSE Mathematics ratio content on ratio and scale, covering simplifying ratios, dividing a quantity in a given ratio, the link between ratios and fractions, combining ratios, and scale factors and scale drawings.
10 min answer →