

A worksheet on evaluating expressions involving positive, negative and fractional indices. Solutions are included.
Master secondary indices essentials with this comprehensive, no-prep worksheet pack designed for KS3 and KS4 / GCSE mastery. This resource targets evaluating expressions with negative integer indices, fractional indices, roots, and complex laws of indices operations.
Looking for a rigorous, ready-to-print indices review pack that breaks down negative and fractional powers step-by-step?
This comprehensive maths worksheet pack is specifically designed to reinforce essential arithmetic, algebraic rules, and number fluency for Key Stage 3 and Key Stage 4 pupils. Whether you are preparing for end-of-term assessments, looking for high-quality homework tasks, or need reliable cover work, this pack has you covered.
What Skills & Concepts Are Covered?
• Negative Indices: Evaluating inverse integers and fractions raised to negative integer powers (e.g., 3^-2 or fraction expressions raised to negative values).
• Fractional & Rational Indices: Master calculations with multi-step roots, square roots, and nth roots combined with fractional index powers (such as 2/3 and 3/4 powers).
• Combining Laws of Indices: Multi-step simplification problems requiring pupils to combine matching bases using the multiplication rule, division rule, and power-of-a-power properties.
• Surds & Indices Operations: Simplifying fractional expressions containing combined nested square roots and radical integers.
What Is Included in This Download?
• 30 Scaffolding Student Problems: A clean, minimalist maths layout containing 30 meticulously built equations that systematically increase in rigor across 3 pages.
• 4-Page Complete Step-by-Step Answer Key: Every problem features a fully worked-out solution showing exactly how to simplify bases, apply laws of indices, and calculate final answers—ideal for fast teacher marking or pupil self-assessment.
Curriculum Alignment
• UK National Curriculum: Seamlessly covers Key Stage 3 (KS3) and Key Stage 4 (KS4 / GCSE Foundation & Higher) criteria for calculating with roots and integer indices, using index laws to simplify numerical expressions, and understanding the meaning of fractional and negative indices.
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