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Perpendicular lines past paper questions

O Level Mathematics 4024 · Coordinate geometry. Find the gradient and equation of a straight line perpendicular to a given line. Examples include: Find the gradient of a line perpendicular to 2y = 3x + 1 . Find the equation of the perpendicular bisector of the line joining the points (–3, 8) and (9, –2).

It came up in 18 of 46 papers, for about 4 marks a paper when it does. It last came up in October/November 2025.

Often set with Length and midpoint, Equations of linear graphs, Gradient of linear graphs, Vectors in two dimensions.

18 questions, newest first

1. 4024/21/O/N/25 Question 16 part (b) · 1 mark
2. 4024/22/O/N/25 Question 18 part (b(ii)) · 5 marks
3. 4024/12/M/J/25 Question 17 part (b) · 3 marks
4. 4024/12/O/N/24 Question 24 part (b) · 4 marks
5. 4024/21/O/N/24 Question 7 part (d) · 4 marks
6. 4024/11/M/J/24 Question 23 part (c) · 4 marks
7. 4024/22/M/J/24 Question 11 part (c) · 5 marks
8. 4024/22/O/N/23 Question 7 part (b) · 4 marks
9. 4024/11/M/J/23 Question 26 part (b) · 4 marks
10. 4024/12/M/J/23 Question 24 · 5 marks
11. 4024/12/O/N/22 Question 16 part (b(ii)) · 1 mark
12. 4024/21/M/J/22 Question 11 part (b) · 5 marks
13. 4024/22/M/J/22 Question 10 parts (b(i)) (b(ii)) · 7 marks
14. 4024/21/O/N/21 Question 8 part (c) · 3 marks
15. 4024/11/M/J/21 Question 25 · 4 marks
16. 4024/22/M/J/21 Question 6 part (c) · 5 marks
17. 4024/11/O/N/20 Question 21 · 3 marks
18. 4024/12/M/J/20 Question 24 part (b) · 4 marks

More in Coordinate geometry: Coordinates, Drawing linear graphs, Gradient of linear graphs, Length and midpoint, Equations of linear graphs, Parallel lines.

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