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Brainlag Learn / GCSE Maths

Rates, compound measures and growth

Speed, density and pressure, rates of change read from graphs, compound interest and depreciation, and exponential growth and decay.

Lessons

  1. Speed, distance and timeUse speed = distance ÷ time in all three arrangements, with hours, minutes and unit changes, and find average speeds over several stages. 25 min, with the Unit Converter, free
  2. Density and pressureTwo more compound measures: density (mass per volume) and pressure (force per area), with unit changes and mixtures. 20 min, free
  3. Rates of change from graphsThe gradient of a graph is a rate; the area under a speed-time graph is a distance; tangents give rates at an instant. 25 min, with the Graphing Calculator, Plus
  4. Compound interest and depreciationRepeated percentage change with a multiplier and a power, comparisons with simple interest, and how long it takes to reach a target. 25 min, with the Scientific Calculator, Plus
  5. Growth and decayPopulations, bacteria, half-lives and iteration formulas: exponential models, and finding a growth rate from two values. 25 min, with the Graphing Calculator, Plus

Practise and test

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