IGCSE Practice

IGCSE Algebra — Simultaneous equations Practice Extended

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

How to approach simultaneous equations — open the study guide

Simultaneous equations on IGCSE 0580

Two equations with two unknowns. Two main methods.

  • Elimination: multiply equations to match a coefficient, then add or subtract.
  • Substitution: rearrange one equation, substitute into the other.
  • Always find both values and check them in the original equations.

Practice exercises

Exercise 1 — Cambridge IGCSE 0580 Nov 2025 Paper 23 Q27

Cambridge past paper 6 marks Paper 23 Nov 2025
IGCSE 0580 Nov 2025 Paper 23 Question 27 — Simultaneous equations (Extended, 6 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Nov 2025 Paper 23 Q27

Exercise 2 — Cambridge IGCSE 0580 Nov 2025 Paper 42 Q19

Cambridge past paper 6 marks Paper 42 Nov 2025
IGCSE 0580 Nov 2025 Paper 42 Question 19 — Simultaneous equations (Extended, 6 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Nov 2025 Paper 42 Q19

Exercise 3 — Cambridge IGCSE 0580 Nov 2025 Paper 21 Q8

Cambridge past paper 5 marks Paper 21 Nov 2025
IGCSE 0580 Nov 2025 Paper 21 Question 8 — Simultaneous equations (Extended, 5 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Nov 2025 Paper 21 Q8

Exercise 4 — Cambridge IGCSE 0580 Jun 2025 Paper 23 Q10

Cambridge past paper 4 marks Paper 23 Jun 2025
IGCSE 0580 Jun 2025 Paper 23 Question 10 — Simultaneous equations (Extended, 4 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Jun 2025 Paper 23 Q10

Exercise 5 — Cambridge IGCSE 0580 Nov 2025 Paper 41 Q26

Cambridge past paper 4 marks Paper 41 Nov 2025
IGCSE 0580 Nov 2025 Paper 41 Question 26 — Simultaneous equations (Extended, 4 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Nov 2025 Paper 41 Q26

Exercise 6 — Cambridge IGCSE 0580 Jun 2025 Paper 42 Q9

Cambridge past paper 3 marks Paper 42 Jun 2025
IGCSE 0580 Jun 2025 Paper 42 Question 9 — Simultaneous equations (Extended, 3 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Jun 2025 Paper 42 Q9

Exercise 7 — Cambridge IGCSE 0580 Nov 2025 Paper 43 Q10

Cambridge past paper 2 marks Paper 43 Nov 2025
IGCSE 0580 Nov 2025 Paper 43 Question 10 — Simultaneous equations (Extended, 2 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Nov 2025 Paper 43 Q10

Other Algebra subtopics