IGCSE Practice

IGCSE Algebra — Proportion Practice Extended

7 Cambridge IGCSE 0580 questions on proportion at the Extended tier — each with its full mark scheme.

How to approach proportion — open the study guide

Direct and inverse proportion (Extended)

If y ∝ x then y = kx. If y ∝ 1/x then y = k/x. Find k from a given pair, then use it.

Practice exercises

Exercise 1 — Cambridge IGCSE 0580 Nov 2025 Paper 42 Q21

Cambridge past paper 4 marks Paper 42 Nov 2025
IGCSE 0580 Nov 2025 Paper 42 Question 21 — Proportion (Extended, 4 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Nov 2025 Paper 42 Q21

Exercise 2 — Cambridge IGCSE 0580 Jun 2025 Paper 43 Q15

Cambridge past paper 3 marks Paper 43 Jun 2025
IGCSE 0580 Jun 2025 Paper 43 Question 15 — Proportion (Extended, 3 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Jun 2025 Paper 43 Q15

Exercise 3 — Cambridge IGCSE 0580 Jun 2024 Paper 22 Q19

Cambridge past paper 4 marks Paper 22 Jun 2024
IGCSE 0580 Jun 2024 Paper 22 Question 19 — Proportion (Extended, 4 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Jun 2024 Paper 22 Q19

Exercise 4 — Cambridge IGCSE 0580 Nov 2024 Paper 22 Q12

Cambridge past paper 3 marks Paper 22 Nov 2024
IGCSE 0580 Nov 2024 Paper 22 Question 12 — Proportion (Extended, 3 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Nov 2024 Paper 22 Q12

Exercise 5 — Cambridge IGCSE 0580 Mar 2024 Paper 22 Q22

Cambridge past paper 2 marks Paper 22 Mar 2024
IGCSE 0580 Mar 2024 Paper 22 Question 22 — Proportion (Extended, 2 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Mar 2024 Paper 22 Q22

Exercise 6 — Cambridge IGCSE 0580 Nov 2024 Paper 23 Q19

Cambridge past paper 2 marks Paper 23 Nov 2024
IGCSE 0580 Nov 2024 Paper 23 Question 19 — Proportion (Extended, 2 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Nov 2024 Paper 23 Q19

Exercise 7 — Cambridge IGCSE 0580 Jun 2023 Paper 21 Q14

Cambridge past paper 3 marks Paper 21 Jun 2023
IGCSE 0580 Jun 2023 Paper 21 Question 14 — Proportion (Extended, 3 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Jun 2023 Paper 21 Q14

Other Algebra subtopics