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Right-angled triangles past paper questions

O Level Mathematics 4024 · Trigonometry. 1 Know and use the sine, cosine and tangent ratios for acute angles in calculations involving sides and angles of a right-angled triangle. 2 Solve problems in two dimensions using Pythagoras’ theorem and trigonometry. 3 Know that the perpendicular distance from a point to a line is the shortest distance to the line. 4 Carry out calculations involving angles of elevation and depression. Angles will be given in degrees and answers should be written in degrees, with decimals correct to one decimal place. Knowledge of bearings may be required.

It came up in 15 of 46 papers, for about 4 marks a paper when it does. It last came up in October/November 2025.

Often set with Non-right-angled triangles, Surface area and volume.

15 questions, newest first

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

More in Trigonometry: Pythagoras' theorem, Non-right-angled triangles, Pythagoras' theorem and trigonometry in 3D.

Questions and mark schemes from Cambridge International past papers. Paperstreak isn't affiliated with Cambridge.