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Indices-harder questions worksheet (with detailed solutions)

Indices-harder questions worksheet (with detailed solutions)

Subject: Mathematics

Age range: 14-16

Resource type: Worksheet/Activity

Last updated

25 July 2026

pdf, 136.79 KB
pdf, 136.79 KB

A worksheet with harder questions on laws of indices, powers and roots, zero, negative and fractional indices. Detailed solutions are included. Appropriate for GCSE/IGCSE students.

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.

Bundle

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.

£8.80
Bundle

10 Algebra worksheets (with detailed solutions)

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

£9.90
Bundle

Indices and surds Bundle 2

Four worksheets on indices and surds with detailed solutions.

£4.20
Bundle

Indices and Surds worksheets (with detailed solutions)

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

£3.90
Bundle

Indices-harder questions Bundle

Three worksheets with harder questions on laws of indices, powers and roots, zero, negative and fractional indices. Detailed solutions are included. Appropriate for GCSE/IGCSE students.

£3.35
Bundle

Indices and surds Bundle

A collection of three worksheets. A worksheet on simplifying expressions with indices, a worksheet with harder questions on laws of indices, powers and roots, zero, negative and fractional indices and a worksheet on manipulating surds using the product and quotient rule. Detailed solutions are included. Good for A level students.

£2.90

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9 years ago
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£1.80
5.003 reviews

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