IGCSE Practice

IGCSE Algebra — Completing squares Practice Extended

2 Cambridge IGCSE 0580 questions on completing squares at the Extended tier — each with its full mark scheme.

How to approach completing squares — open the study guide

Completing the square (Extended)

Rewrite x² + bx + c in the form (x + p)² + q. Useful for finding the vertex of a parabola and solving quadratics that don't factorise.

Practice exercises

Exercise 1 — Cambridge IGCSE 0580 Nov 2024 Paper 21 Q23

Cambridge past paper 2 marks Paper 21 Nov 2024
IGCSE 0580 Nov 2024 Paper 21 Question 23 — Completing squares (Extended, 2 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Nov 2024 Paper 21 Q23

Exercise 2 — Cambridge IGCSE 0580 Mar 2024 Paper 22 Q24

Cambridge past paper 2 marks Paper 22 Mar 2024
IGCSE 0580 Mar 2024 Paper 22 Question 24 — Completing squares (Extended, 2 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Mar 2024 Paper 22 Q24

Other Algebra subtopics