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GCSE Physics graph questions

Read scales, plot coordinates and interpret straight-line gradients and intercepts.

Practise

Choose a best-fit line

Choose the line that best represents the trend. Calculate its gradient in cm s⁻¹. Give your answer to 3 significant figures.

Three candidate straight linesSix data points with three labelled candidate lines; the readings are synthetic practice data. Horizontal axis: Time / s, 0 to 7. Vertical axis: Position / cm, 0 to 34. Exact values are also listed below the graph.01234567051015202530Time / sPosition / cmABC
Read the axes and units. The values are also available in the table below.
Larger graph
Three candidate straight linesSix data points with three labelled candidate lines; the readings are synthetic practice data. Horizontal axis: Time / s, 0 to 7. Vertical axis: Position / cm, 0 to 34. Exact values are also listed below the graph.01234567051015202530Time / sPosition / cmABC
Graph values
Synthetic readings
PointTime / sPosition / cm
117.2
2210.6
3315.2
4418.8
5523.4
6626.8
  • Line A: (0, 1.8) to (7, 29.8).
  • Line B: (0, 3) to (7, 31).
  • Line C: (0, 4.2) to (7, 32.2).

Treat the displayed values as exact unless an uncertainty is stated.

Use decimals or e notation, e.g. 4.2e-3. Enter the unit separately.

Hint

A best-fit line need not pass through every point. Use two well-separated positions on the line to calculate Δy / Δx.

Worked solution
  1. Rule: Line B.
  2. Line B balances the points above and below; the other lines are displaced vertically.
  3. Two positions on line B: (0 s, 3 cm) and (7 s, 31 cm).
  4. Gradient = (31 − 3) / (7 − 0) = 4 cm s⁻¹.
  5. Answer: 4.00 cm s⁻¹ (3 significant figures).
Another question
Question type: Mixed practice
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Foundation and Higher: this set covers content common to both tiers. Some calculations need several steps.

Reading a graph

Read the axis quantities and units before calculating. Use two well-separated points on the supplied line for a gradient. The gradient’s meaning comes from the axes: displacement divided by time gives velocity; potential difference divided by current gives resistance. These tasks use straight lines and coordinate entry; tangents and areas under curves are outside this set.

Work through the practical method and sample results

GCSE scope

AQA 8463: MS 4a–d; 4.5.6.1.4; 4.2.1.4; OCR Gateway J249: 5g M4a–d; P2.1; P3.2; P9. Tasks cover the selected skills listed above.

AQA specification · OCR Gateway specification