IGCSE Practice

IGCSE Algebra — Simultaneous equations Practice Core

7 Cambridge IGCSE 0580 questions on simultaneous equations at the Core tier — each with its full mark scheme. For the Extended 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 11 Q29

Cambridge past paper 5 marks Paper 11 Nov 2025
IGCSE 0580 Nov 2025 Paper 11 Question 29 — Simultaneous equations (Core, 5 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Nov 2025 Paper 11 Q29

Exercise 2 — Cambridge IGCSE 0580 Jun 2025 Paper 11 Q26

Cambridge past paper 4 marks Paper 11 Jun 2025
IGCSE 0580 Jun 2025 Paper 11 Question 26 — Simultaneous equations (Core, 4 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Jun 2025 Paper 11 Q26

Exercise 3 — Cambridge IGCSE 0580 Mar 2025 Paper 12 Q26

Cambridge past paper 4 marks Paper 12 Mar 2025
IGCSE 0580 Mar 2025 Paper 12 Question 26 — Simultaneous equations (Core, 4 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Mar 2025 Paper 12 Q26

Exercise 4 — Cambridge IGCSE 0580 Specimen 2025 Paper 11 Q23

Cambridge past paper 3 marks Paper 11 Specimen 2025
IGCSE 0580 Specimen 2025 Paper 11 Question 23 — Simultaneous equations (Core, 3 marks)
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Mark scheme for IGCSE 0580 Specimen 2025 Paper 11 Q23

Exercise 5 — Cambridge IGCSE 0580 Jun 2025 Paper 12 Q24

Cambridge past paper 3 marks Paper 12 Jun 2025
IGCSE 0580 Jun 2025 Paper 12 Question 24 — Simultaneous equations (Core, 3 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Jun 2025 Paper 12 Q24

Exercise 6 — Cambridge IGCSE 0580 Jun 2025 Paper 13 Q25

Cambridge past paper 3 marks Paper 13 Jun 2025
IGCSE 0580 Jun 2025 Paper 13 Question 25 — Simultaneous equations (Core, 3 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Jun 2025 Paper 13 Q25

Exercise 7 — Cambridge IGCSE 0580 Nov 2024 Paper 12 Q22

Cambridge past paper 4 marks Paper 12 Nov 2024
IGCSE 0580 Nov 2024 Paper 12 Question 22 — Simultaneous equations (Core, 4 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Nov 2024 Paper 12 Q22

Other Algebra subtopics