IGCSE Practice

IGCSE Numbers — Indices Practice Core

7 Cambridge IGCSE 0580 questions on indices at the Core tier — each with its full mark scheme. For the Extended 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 Jun 2025 Paper 33 Q21

Cambridge past paper 8 marks Paper 33 Jun 2025
IGCSE 0580 Jun 2025 Paper 33 Question 21 — Indices (Core, 8 marks)
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Mark scheme for IGCSE 0580 Jun 2025 Paper 33 Q21

Exercise 2 — Cambridge IGCSE 0580 Jun 2025 Paper 11 Q25

Cambridge past paper 2 marks Paper 11 Jun 2025
IGCSE 0580 Jun 2025 Paper 11 Question 25 — Indices (Core, 2 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Jun 2025 Paper 11 Q25

Exercise 3 — Cambridge IGCSE 0580 Jun 2025 Paper 12 Q12

Cambridge past paper 2 marks Paper 12 Jun 2025
IGCSE 0580 Jun 2025 Paper 12 Question 12 — Indices (Core, 2 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Jun 2025 Paper 12 Q12

Exercise 4 — Cambridge IGCSE 0580 Nov 2025 Paper 12 Q16

Cambridge past paper 2 marks Paper 12 Nov 2025
IGCSE 0580 Nov 2025 Paper 12 Question 16 — Indices (Core, 2 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Nov 2025 Paper 12 Q16

Exercise 5 — Cambridge IGCSE 0580 Nov 2025 Paper 31 Q23

Cambridge past paper 2 marks Paper 31 Nov 2025
IGCSE 0580 Nov 2025 Paper 31 Question 23 — Indices (Core, 2 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Nov 2025 Paper 31 Q23

Exercise 6 — Cambridge IGCSE 0580 Jun 2025 Paper 32 Q19

Cambridge past paper 2 marks Paper 32 Jun 2025
IGCSE 0580 Jun 2025 Paper 32 Question 19 — Indices (Core, 2 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Jun 2025 Paper 32 Q19

Exercise 7 — Cambridge IGCSE 0580 Nov 2025 Paper 32 Q21

Cambridge past paper 2 marks Paper 32 Nov 2025
IGCSE 0580 Nov 2025 Paper 32 Question 21 — Indices (Core, 2 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Nov 2025 Paper 32 Q21

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