IGCSE Practice

IGCSE Geometry — Angles using geometrical properties Practice Extended

7 Cambridge IGCSE 0580 questions on angles using geometrical properties at the Extended tier — each with its full mark scheme. For the Core tier on the same skill, click here.

How to approach angles using geometrical properties — open the study guide

Angle rules on IGCSE 0580

  • Angles on a straight line add to 180°; round a point 360°.
  • Parallel lines: alternate, corresponding, co-interior.
  • Sum of interior angles of an n-gon = (n − 2) × 180°.
  • Circle theorems (Extended): centre angle = 2 × circumference; semicircle = 90°.

Practice exercises

Exercise 1 — Cambridge IGCSE 0580 Nov 2025 Paper 21 Q14

Cambridge past paper 9 marks Paper 21 Nov 2025
IGCSE 0580 Nov 2025 Paper 21 Question 14 — Angles using geometrical properties (Extended, 9 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Nov 2025 Paper 21 Q14

Exercise 2 — Cambridge IGCSE 0580 Nov 2025 Paper 22 Q11

Cambridge past paper 7 marks Paper 22 Nov 2025
IGCSE 0580 Nov 2025 Paper 22 Question 11 — Angles using geometrical properties (Extended, 7 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Nov 2025 Paper 22 Q11

Exercise 3 — Cambridge IGCSE 0580 Specimen 2025 Paper 21 Q17

Cambridge past paper 5 marks Paper 21 Specimen 2025
IGCSE 0580 Specimen 2025 Paper 21 Question 17 — Angles using geometrical properties (Extended, 5 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Specimen 2025 Paper 21 Q17

Exercise 4 — Cambridge IGCSE 0580 Mar 2025 Paper 22 Q14

Cambridge past paper 5 marks Paper 22 Mar 2025
IGCSE 0580 Mar 2025 Paper 22 Question 14 — Angles using geometrical properties (Extended, 5 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Mar 2025 Paper 22 Q14

Exercise 5 — Cambridge IGCSE 0580 Jun 2025 Paper 21 Q2

Cambridge past paper 4 marks Paper 21 Jun 2025
IGCSE 0580 Jun 2025 Paper 21 Question 2 — Angles using geometrical properties (Extended, 4 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Jun 2025 Paper 21 Q2

Exercise 6 — Cambridge IGCSE 0580 Jun 2025 Paper 21 Q10

Cambridge past paper 4 marks Paper 21 Jun 2025
IGCSE 0580 Jun 2025 Paper 21 Question 10 — Angles using geometrical properties (Extended, 4 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Jun 2025 Paper 21 Q10

Exercise 7 — Cambridge IGCSE 0580 Nov 2025 Paper 22 Q6

Cambridge past paper 4 marks Paper 22 Nov 2025
IGCSE 0580 Nov 2025 Paper 22 Question 6 — Angles using geometrical properties (Extended, 4 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Nov 2025 Paper 22 Q6

Other Geometry subtopics