GCSE Maths | Indices: Mastery & Fluency Practice | With Full Solutions

GCSE Maths | Indices: Mastery & Fluency Practice

A focused fluency practice worksheet on Indices for GCSE Maths.

Designed to build speed and accuracy across all index laws, progressing from straightforward to exam-style challenge.

Structure Section 1 – Multiplication & Division Laws

Simplify expressions using aᵐ × aⁿ = aᵐ⁺ⁿ and aᵐ ÷ aⁿ = aᵐ⁻ⁿ

Section 2 – Power of a Power & Brackets

Problems involving (aᵐ)ⁿ = aᵐⁿ with combined operations

Section 3 – Zero & Negative Indices

Including tricky cases like 20k⁰ − (20k)⁰, fractional conversions, and 0.04 as a power of 5

Section 4 – Speed & Challenge Problems

Mixed problem solving: solve for unknown powers, order values, and multi-step simplification

Includes

• ✓ Laws summary at the top for quick reference
• ✓ 16 carefully graded questions
• ✓ Full worked solutions with every step shown
• ✓ Print-ready PDF (5 pages)

Suitable for GCSE Higher and Foundation (Grades 5–9).

Great for revision, homework, or timed fluency drills.

Written by an experienced GCSE tutor.