IGCSE Practice

IGCSE Numbers — Indices Practice Extended

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

How to approach indices — open the study guide

Indices (powers) on IGCSE 0580

  • aᵐ × aⁿ = aᵐ⁺ⁿ
  • aᵐ ÷ aⁿ = aᵐ⁻ⁿ
  • (aᵐ)ⁿ = aᵐⁿ
  • a⁻ⁿ = 1/aⁿ, a^(1/n) = ⁿ√a

Practice exercises

Exercise 1 — Cambridge IGCSE 0580 Specimen 2025 Paper 21 Q12

Cambridge past paper 4 marks Paper 21 Specimen 2025
IGCSE 0580 Specimen 2025 Paper 21 Question 12 — Indices (Extended, 4 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Specimen 2025 Paper 21 Q12

Exercise 2 — Cambridge IGCSE 0580 Nov 2025 Paper 21 Q15

Cambridge past paper 3 marks Paper 21 Nov 2025
IGCSE 0580 Nov 2025 Paper 21 Question 15 — Indices (Extended, 3 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Nov 2025 Paper 21 Q15

Exercise 3 — Cambridge IGCSE 0580 Jun 2025 Paper 22 Q11

Cambridge past paper 3 marks Paper 22 Jun 2025
IGCSE 0580 Jun 2025 Paper 22 Question 11 — Indices (Extended, 3 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Jun 2025 Paper 22 Q11

Exercise 4 — Cambridge IGCSE 0580 Mar 2025 Paper 42 Q9

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

Exercise 5 — Cambridge IGCSE 0580 Jun 2025 Paper 43 Q12

Cambridge past paper 3 marks Paper 43 Jun 2025
IGCSE 0580 Jun 2025 Paper 43 Question 12 — Indices (Extended, 3 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Jun 2025 Paper 43 Q12

Exercise 6 — Cambridge IGCSE 0580 Jun 2025 Paper 43 Q6

Cambridge past paper 2 marks Paper 43 Jun 2025
IGCSE 0580 Jun 2025 Paper 43 Question 6 — Indices (Extended, 2 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Jun 2025 Paper 43 Q6

Exercise 7 — Cambridge IGCSE 0580 Nov 2025 Paper 43 Q11

Cambridge past paper 2 marks Paper 43 Nov 2025
IGCSE 0580 Nov 2025 Paper 43 Question 11 — Indices (Extended, 2 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Nov 2025 Paper 43 Q11

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