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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

25 July 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 48%

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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Algebra for GCSE/IGCSE worksheets (with solutions)

A large collection of 24 worksheets (254 pages) on selected topics from algebra: Algebraic manipulation Substitution into formulae Simplifying expressions by collecting like terms Collecting like terms (expressions with different variables) Multiplying a single term over a bracket Expanding double brackets Factorisation Quadratic factorisation 9.Indices Rearranging formulae Inverse functions Composite functions Equation of a straight line Parallel and perpendicular lines Solving linear equations Solving quadratic equations by factorising Quadratic formula Completing the square and solving quadratic equations by com- pleting the square Simultaneous Equations -Elimination Simultaneous Equations -Substitution Simultaneous Equations One Linear, One Quadratic Linear inequalities Quadratic inequalities The nth term of linear and quadratic sequences Designed for the GCSE/IGCSE specification. Detailed solutions are included.

£19.90
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Exponents / Laws of Indices Worksheets Bundle | Algebra Math Review Pack

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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Ten algebra worksheets on the following topics: factoring polynomials, algebraic fractions, indices and surds. Detailed solutions are included.

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Four worksheets on indices and surds with detailed solutions.

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Four worksheets on indices and surds with detailed solutions. Good revision for GCSE/IGCSE students.

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Eight worksheets on evaluating and simplifying expressions with indices. A practice on laws of indices, negative and fractional indices. Good for GCSE/IGCSE students. Detailed solutions are included.

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A collection of ten worksheets on the following algebra topics: Changing the subject of a formula, equation of a straight line ( finding the gradient of a line given its equation, finding the equation of a line given its gradient and one point on it or two points on it and finding the equation of a line parallel to another line passing through a given point), expanding expressions by multiplying brackets by a single number or variable and collecting like terms when appropriate, factorising polynomials (extracting a common factor, difference of two squares, perfect square, quadratic factorisation), indices, inverse and composite functions, linear equations. Detailed solutions are included.

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