IGCSE Practice

IGCSE Functions and Graphs — Calculus Practice Extended

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

How to approach calculus — open the study guide

Differentiation on IGCSE 0580 (Extended)

d/dx(xⁿ) = nxⁿ⁻¹. Use to find gradients of curves and turning points (set derivative = 0).

Practice exercises

Exercise 1 — Cambridge IGCSE 0580 Jun 2025 Paper 23 Q21

Cambridge past paper 6 marks Paper 23 Jun 2025
IGCSE 0580 Jun 2025 Paper 23 Question 21 — Calculus (Extended, 6 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Jun 2025 Paper 23 Q21

Exercise 2 — Cambridge IGCSE 0580 Mar 2024 Paper 42 Q8

Cambridge past paper 12 marks Paper 42 Mar 2024
IGCSE 0580 Mar 2024 Paper 42 Question 8 — Calculus (Extended, 12 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Mar 2024 Paper 42 Q8

Exercise 3 — Cambridge IGCSE 0580 Jun 2024 Paper 43 Q10

Cambridge past paper 11 marks Paper 43 Jun 2024
IGCSE 0580 Jun 2024 Paper 43 Question 10 — Calculus (Extended, 11 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Jun 2024 Paper 43 Q10

Exercise 4 — Cambridge IGCSE 0580 Nov 2024 Paper 42 Q10

Cambridge past paper 9 marks Paper 42 Nov 2024
IGCSE 0580 Nov 2024 Paper 42 Question 10 — Calculus (Extended, 9 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Nov 2024 Paper 42 Q10

Exercise 5 — Cambridge IGCSE 0580 Nov 2023 Paper 41 Q11

Cambridge past paper 10 marks Paper 41 Nov 2023
IGCSE 0580 Nov 2023 Paper 41 Question 11 — Calculus (Extended, 10 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Nov 2023 Paper 41 Q11

Exercise 6 — Cambridge IGCSE 0580 Mar 2023 Paper 42 Q9

Cambridge past paper 9 marks Paper 42 Mar 2023
IGCSE 0580 Mar 2023 Paper 42 Question 9 — Calculus (Extended, 9 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Mar 2023 Paper 42 Q9

Exercise 7 — Cambridge IGCSE 0580 Nov 2023 Paper 42 Q9

Cambridge past paper 8 marks Paper 42 Nov 2023
IGCSE 0580 Nov 2023 Paper 42 Question 9 — Calculus (Extended, 8 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Nov 2023 Paper 42 Q9

Other Functions and Graphs subtopics