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All calculations

Rate from a graph tangent

Rates of reaction
AQA 8462
ORIGINAL
Higher tier

rate at a time = gradient of tangent = change in y / change in x

An instantaneous rate is the gradient of a tangent, not the gradient between arbitrary curve points.

Board and spec code confirmed against AQA 8462 · registry checked 2026-07-17How this checking works

Work it, then mark it

Do each calculation on paper first, then reveal the mark scheme and tick the marks you actually earned — the same way you should mark past papers.

Q1

A tangent to a mass-loss curve passes through (40 s, 1.6 g) and (100 s, 0.7 g). Calculate the magnitude of the rate of mass loss.

[3 marks]

Total for this question: 3

Do the calculation on paper first — then mark it.

Where the marks get lost

  • Using points on the curve instead of points on the tangent.
  • Forgetting to use differences in both coordinates.

Exam tip: Choose two well-separated, easy-to-read points on the tangent line to reduce reading uncertainty.

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