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GCSE Maths: Rates of Change from Graphs

Calculate acceleration and distance from velocity-time graphs. Practise it with adaptive questions for AQA, Edexcel, OCR and Eduqas.

RatioFoundation & HigherAQA · Edexcel · OCR · Eduqas

What you need to know

The concepts examiners test on rates of change from graphs, and what each one is really asking.

Calculate acceleration from the gradient of a velocity-time graph
Calculate distance from the area under a velocity-time graph
Interpret different sections of kinematic graphs
Estimate area under a curve

Where marks get lost

The exam technique that separates a correct method from a correct answer.

  • Confusing distance-time graphs with velocity-time graphs (gradient of D-T is speed, gradient of V-T is acceleration)
  • Forgetting the ½ in the triangle area formula
  • Misreading the scale on the axes when calculating base/height

Rates of Change from Graphs questions students ask

Is Rates of Change from Graphs on the Foundation paper?

Yes. Rates of Change from Graphs appears at both Foundation and Higher tier, though Higher papers take it further.

What should I know before starting Rates of Change from Graphs?

It builds on Areas of shapes and Gradients and Speed, distance, time. If those feel shaky, practise them first — Rates of Change from Graphs questions assume them.

What is the most common mistake in Rates of Change from Graphs?

Confusing distance-time graphs with velocity-time graphs (gradient of D-T is speed, gradient of V-T is acceleration).

Which exam boards cover Rates of Change from Graphs?

All four we support — AQA, Edexcel, OCR and Eduqas. GCSE Maths subject content is set by the DfE, so the topic is common to every board; what changes is the paper structure and the grade boundaries.