Skip to content
Exam skills · Papers 1 and 2

Graphs, tables and calculations

Drawing a graph is worth up to 6 marks in almost every paper. Learn the marking checklist, choose the right graph type, and practise percentages, rates and ratios from data.

Which graph?

GraphUse it whenExample
Line graphBoth variables are continuous (numbers on a scale)Enzyme activity at different temperatures
Bar graphThe independent variable is in categories (discrete); bars do not touchNumber of learners with each blood group
HistogramContinuous data grouped into class intervals; bars touchHeight ranges in a class
Pie chartParts of a whole (percentages adding up to 100)Composition of household waste

The marking checklist

A typical 6-mark graph is marked like this:

  1. Correct type of graph (1)
  2. Caption / title that names both variables: “The effect of temperature on enzyme activity” (1)
  3. X-axis correctly calibrated and labelled with units (1)
  4. Y-axis correctly calibrated and labelled with units (1)
  5. Plotting of points: 1 mark for 1–3 correct, 2 marks for all correct (2)

Calculations from data

✏️ Percentage change
1A population of 400 rhinos fell to 300. % change = (new − old) ÷ old × 100.
2(300 − 400) ÷ 400 × 100 = −25%: a 25% decrease.
✏️ Rate
1A seedling grew from 12 mm to 48 mm in 6 days.
2Rate = change ÷ time = (48 − 12) ÷ 6 = 6 mm per day.
✏️ Percentage of a total and ratio
1In a cross, 75 offspring are tall and 25 short. % short = 25 ÷ 100 × 100 = 25%.
2Ratio tall : short = 75 : 25 = 3 : 1.

Always show the formula and substitution — method marks are awarded even if the final answer is wrong. Include units.

Describing and explaining a graph

0/8
Review the explanations above.
Answer in your exercise book, then open each memo to mark your work.
Question 1 · (6 marks)
Draw a line graph of this data: Temperature (°C): 10, 20, 30, 40, 50; Volume of gas produced (cm³): 8, 16, 28, 34, 12. Use the marking checklist.
Show memo
Line graph ✓; caption naming both variables, e.g. “The effect of temperature on the volume of gas produced” ✓; x-axis: temperature (°C) with even scale ✓; y-axis: volume of gas (cm³) with even scale ✓; all 5 points correctly plotted and joined ✓✓
Question 2 · (3 marks)
A dam had 1 200 fish in 2020 and 840 fish in 2024. Calculate the percentage decrease. Show your working.
Show memo
% change = (840 − 1 200) ÷ 1 200 × 100 ✓✓ = −30%, a 30% decrease ✓
Question 3 · (2 marks)
Explain why a bar graph, and not a line graph, should be used to show the number of learners with blood groups A, B, AB and O.
Show memo
Blood groups are categories / discrete data ✓, so there are no values between them to join with a line ✓.
Question 4 · (4 marks)
Describe and explain the shape of the graph in question 1.
Show memo
Volume of gas increases as temperature increases up to 40 °C ✓ (from 8 to 34 cm³), then decreases at 50 °C ✓. Enzyme activity increases with temperature up to the optimum ✓; above the optimum the enzyme is denatured ✓.