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GCSE graphs practice and starter worksheets

Practise straight-line graphs, plotting and interpreting scatter graphs. Use the supplied grids for the drawing questions, then compare your work with the separate model diagram.

No account or email needed. Grade labels guide practice; they do not predict an exam result.

Try the questionsBuild a graphs worksheet

A useful approach

  1. Read both axis labels and scales before plotting or interpreting a point.
  2. For a straight-line equation, calculate a small table of coordinate pairs and check a third point lies on your line.
  3. Describe a scatter graph's association carefully. A line of best fit should reflect the overall pattern, rather than join every point.

A mistake to watch for

The gap between tick marks is not always one unit. Check each axis separately. Correlation alone does not establish that one variable causes the other.

Try question 1

Drawing Linear Graphs · Calculator allowed · 2 marks

A straight line has equation y = 3x − 2

  1. Write down the gradient of the line.
  2. Write down the coordinates of the point where the line crosses the y-axis.
Show answer and working for question 1
  1. The equation is in the form y = mx + c
  2. a) The gradient is the coefficient of x, which is 3
  3. b) The line crosses the y-axis where x = 0, so at (0, -2)
Answer: (a) 3   (b) (0, -2)
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Try question 2

Drawing Linear Graphs · Calculator allowed · 3 marks

On the grid, draw the graph of y = 2x − 3 for values of x from −2 to 3

−2−1123−8−7−6−5−4−3−2−11234Oxy
Show answer and working for question 2
  1. Make a table of values: x = -2 gives y = -7, x = 0 gives y = -3, x = 1 gives y = -1, x = 3 gives y = 3
  2. Plot the points and join them with a single straight line with a ruler
Answer: Straight line through (-2, -7), (0, -3) and (3, 3)
−2−1123−8−7−6−5−4−3−2−11234Oxyy = 2x − 3
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Try question 3

Scatter Graphs · Calculator allowed · 2 marks

The table shows the number of hours that each of 8 students spent revising, and their scores in a test.

Hours revising12345678
Test score2228353947525865

The data is plotted on a scatter graph.

  1. Describe the type of correlation the scatter graph would show.
  2. Interpret this correlation for these students.
0123456789010203040506070Hours revisingTest score
Show answer and working for question 3
  1. As the hours increase from 1 to 8, the scores rise steadily from 22 to 65, so the correlation is positive.
  2. In context, more revision time is associated with a higher test score.
Answer: (a) positive correlation   (b) Students who spent longer revising scored higher marks
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Practise a specific topic

Choose your tier before starting. The workouts offer marked practice; these page examples do not change your saved results.

Use this as a classroom starter

Give pupils squared paper or use the on-screen drawing tools in Topic Workout. Ask for an explanation of the scale and units before revealing the model.

The worksheet builder lets you choose 5 or 10 questions and replace individual questions. Download a compact starter or a full worksheet; worked solutions start on separate pages.

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