IGCSE Practice

IGCSE Functions and Graphs — Graphs of functions Practice Core

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

How to approach graphs of functions — open the study guide

Functions and graphs on IGCSE 0580

Function notation f(x), composite gf(x), inverse f⁻¹(x). Sketch linear, quadratic, cubic, reciprocal, exponential, and trig graphs.

Practice exercises

Exercise 1 — Cambridge IGCSE 0580 Specimen 2025 Paper 31 Q13

Cambridge past paper 11 marks Paper 31 Specimen 2025
IGCSE 0580 Specimen 2025 Paper 31 Question 13 — Graphs of functions (Core, 11 marks)
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Mark scheme for IGCSE 0580 Specimen 2025 Paper 31 Q13

Exercise 2 — Cambridge IGCSE 0580 Mar 2025 Paper 12 Q18

Cambridge past paper 9 marks Paper 12 Mar 2025
IGCSE 0580 Mar 2025 Paper 12 Question 18 — Graphs of functions (Core, 9 marks)
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Mark scheme for IGCSE 0580 Mar 2025 Paper 12 Q18

Exercise 3 — Cambridge IGCSE 0580 Jun 2025 Paper 31 Q28

Cambridge past paper 9 marks Paper 31 Jun 2025
IGCSE 0580 Jun 2025 Paper 31 Question 28 — Graphs of functions (Core, 9 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Jun 2025 Paper 31 Q28

Exercise 4 — Cambridge IGCSE 0580 Jun 2025 Paper 11 Q10

Cambridge past paper 5 marks Paper 11 Jun 2025
IGCSE 0580 Jun 2025 Paper 11 Question 10 — Graphs of functions (Core, 5 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Jun 2025 Paper 11 Q10

Exercise 5 — Cambridge IGCSE 0580 Nov 2025 Paper 31 Q16

Cambridge past paper 5 marks Paper 31 Nov 2025
IGCSE 0580 Nov 2025 Paper 31 Question 16 — Graphs of functions (Core, 5 marks)
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Mark scheme for IGCSE 0580 Nov 2025 Paper 31 Q16

Exercise 6 — Cambridge IGCSE 0580 Jun 2025 Paper 33 Q4

Cambridge past paper 3 marks Paper 33 Jun 2025
IGCSE 0580 Jun 2025 Paper 33 Question 4 — Graphs of functions (Core, 3 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Jun 2025 Paper 33 Q4

Exercise 7 — Cambridge IGCSE 0580 Nov 2025 Paper 33 Q28

Cambridge past paper 3 marks Paper 33 Nov 2025
IGCSE 0580 Nov 2025 Paper 33 Question 28 — Graphs of functions (Core, 3 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Nov 2025 Paper 33 Q28

Other Functions and Graphs subtopics