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Geometrical constructions past paper questions

O Level Mathematics 4024 · Geometry. 1 Measure and draw lines and angles. 2 Construct a triangle, given the lengths of all sides, using a ruler and pair of compasses only. 3 Draw, use and interpret nets. A ruler should be used for all straight edges. Constructions of perpendicular bisectors and angle bisectors are not required. e.g. construct a rhombus by drawing two triangles. Construction arcs must be shown. Examples include: draw nets of cubes, cuboids, prisms and pyramids use measurements from nets to calculate volumes and surface areas.

In Cambridge O Level Mathematics 4024, Geometrical constructions came up in 14 of the 46 papers on Paperstreak, for about 3 marks a paper when it does. It last came up in October/November 2025.

Often set with Non-right-angled triangles.

14 questions, newest first

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

More in Geometry: Geometrical terms, Scale drawings, Similarity, Symmetry, Angles, Circle theorems I, Circle theorems II.

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