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Indices worksheet (with detailed solutions)

Indices worksheet (with detailed solutions)

Subject: Mathematics

Age range: 14-16

Resource type: Worksheet/Activity

Last updated

29 October 2026

pdf, 135.16 KB
pdf, 135.16 KB

A worksheet on laws of indices, powers and roots, zero, negative and fractional indices. Detailed solutions are included.

Get this resource as part of a bundle and save up to 51%

A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

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£9.90
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Master exponent rules, indices, radical expressions, and simplifying surds with this comprehensive, ready-to-use math resource packet designed for high school algebra and advanced middle school math students! This resource features targeted practice worksheets covering laws of exponents, fractional indices, rationalizing denominators, and expanding/simplifying surd expressions. Whether you are teaching power rules, fractional exponents, radical operations, or preparing students for advanced algebra, this packet provides rigorous practice to build procedural fluency and mathematical confidence. **What's Included:** - Indices & Laws of Exponents Practice Problems (multiplication, division, power of a power, zero and negative exponents) - Fractional Indices and Radical Equations Practice Problems - Surds Practice Problems (simplifying surds, multiplying/dividing radical terms, expanding brackets, and rationalizing denominators) - Complete, Step-by-Step Answer Keys for Every Problem Ideal for classroom practice, independent work, advanced homework assignments, math centers, test prep, or homeschool curricula.

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Seven worksheets on simplifying expressions with indices. A practice on laws of indices, negative and fractional indices. Detailed solutions are included. Master exponential rules with this comprehensive, no-prep Exponents / Laws of Indices Worksheets Bundle | Algebra Math Review Pack! Aligned to Key Stage 3, Key Stage 4, and GCSE Higher Tier objectives, this extensive, ready-to-print resource packet covers the product rule, quotient rule, power of a power rule, and negative or fractional indices. Complete with highly detailed, step-by-step worked solutions, it is the ultimate time-saving tool for main lessons, homework packets, cover work, or exam revision. ________________________________________ Are your secondary mathematics students struggling with base numbers, fractional powers, or radical expressions? Simplify your maths lesson planning with this high-utility Laws of Exponents and Indices Resource Pack. This bundle contains 7 carefully structured student worksheets designed to build computational confidence and algebraic fluency across critical index concepts. Every single student problem page comes paired with a highly detailed, full-solution worked answer key that maps out the exact addition, subtraction, division, or root rules required to simplify each expression. It is perfect for student self-assessment, small group interventions, homework packets, cover lessons, or fast and easy teacher marking! **What's Inside this Worksheet Pack?** • **Core Laws of Indices (4 Student Pages):** Comprehensive practice introducing and reinforcing the product rule, quotient rule, power of a power rule, and zero index rules using both numeric bases and algebraic variables. • **Negative & Fractional Indices (2 Student Pages):** Rigorous practice questions tracking fractional conversions, reciprocal adjustments for negative powers, and evaluating numerical radical root values without a calculator. • **Solving Exponential Equations (1 Student Page):** Advanced problem sets requiring students to find a missing variable index by equating bases across complex rational terms and roots. • **Teacher Answer Keys (11 Pages):** Complete, step-by-step visual worked solutions matching every student layout page exactly. Why Teachers Love This Pack: • **Zero Prep Required:** Just print out the PDF pages and you are ready to go! • **Scaffolded Progressions:** Skills move logically from basic index operations to complex multi-step fractional transformations. • **Clean Layouts:** Generous workspace for students to neatly write down their expanded bases and power adjustments. • **Detailed Worked Keys:** Perfect for leaving with cover teachers or distributing digitally via a virtual learning environment (VLE) for independent revision. **Curriculum Alignment:** • **UK National Curriculum (GCSE Maths Higher Tier):** Objective N6 (Use index laws for multiplication, division, and powers of a power, including negative and fractional indices) and Objective A17 (Solve exponential equations by equating bases). • **International Frameworks:** Excellent for Year 9, Year 10, and Year 11 mathematics classes, as well as Higher Level IGCSE or foundational A-Level algebra bridging.

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