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Last updated

6 August 2026

pdf, 83.25 KB
pdf, 83.25 KB

A worksheet on expanding brackets and factoring algebraic expressions. Solutions are included.

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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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20 GCSE/IGCSE Algebra worksheets (with solutions)

Help your secondary students master the most challenging aspects of algebraic manipulation with this extensive, high-quality worksheet pack. Designed to build procedural fluency and conceptual confidence, this resource flows logically from foundational skills to advanced GCSE Higher tier topics.It is an ideal resource for **Key Stage 3 (Extension), Key Stage 4 (GCSE Foundation/Higher, IGCSE), and AS-Level bridging work.** **What’s Included?** This comprehensive PDF pack includes structured question sections covering three vital algebraic concepts: **1. Adding and Subtracting Algebraic Fractions (40 Questions)** * **Level 1**: Common numerical denominators and basic simplification. * **Level 2:** Different numerical denominators with linear expression numerators requiring expansion. * **Level 3**: Linear algebraic denominators requiring a common algebraic base (e.g. \(\frac{3}{x-2} - \frac{4}{x+3}\) ) (p. 2). * **Level 4 (Grade 7-9)**: Quadratic denominators requiring factoring first before finding the lowest common multiple. **2. Rearranging Formulae / Changing the Subject (18 Questions)** * **Level 1:** Formulae involving square roots, fractions, and multi-step inverse operations. * **Level 2 (Grade 8/9):** Complex manipulation where the subject appears multiple times, requiring expansion, grouping common terms, and factorising out the subject. **3. Equations with Algebraic Fractions (20 Questions)** * **Level 1:** Solving linear fractional equations by clearing the denominators. * **Level 2:** Solving advanced equations that simplify into quadratics, requiring either factorisation or the quadratic formula to solve. **4. Expanding & Factorising Quadratics** * Supplemental targeted practice on expanding double brackets and simplifying expressions. **Key Features** ✔ **Full Worked Solutions Included:** Every question comes with a comprehensive, step-by-step written solution. Perfect for quick self-marking, peer assessment, or displaying on your interactive whiteboard. ✔ **Highly Scaffolded:** Tasks naturally progress in difficulty, allowing students to build up to Grade 9/A* style questions seamlessly. ✔ **Zero Preparation:** Simply download, select the pages you need, print, and teach! **Ideal For:** * **Main Lesson Practice**: Ideal for independent classwork following a teacher explanation. * **Homework & Revision:** Excellent for consolidation leading up to mock exams or final assessments. * **Cover Lessons:** Clear sequencing and comprehensive answer keys make this completely self-contained for supply or cover staff. * **Flipped Learning / Homework**: Perfect for independent study or remote learning tasks. **File Type**: PDF **Pages:** Complete bundle with question sheets and full answer keys.

£17.90
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8 GCSE/IGCSE worksheets on percentages, indices and factorisation (with solutions)

8 worksheets on the following: finding a percentage of an amount, calculating a fraction of an amount, expressing a fraction as a percentage, increasing and decreasing an amount by a percentage, solving problems involving reverse percentage and percentage change, quadratic factorisation, expanding brackets and factorising, power 1, power 0, negative powers and fractional powers and simplifying expressions with indices using the multiplication and division laws of indices. Detailed solutions are provided.

£7.90
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Algebra 1 Expanding Brackets & Factoring Polynomials Worksheets with Answers

Three worksheets on expanding brackets and factoring. Detailed solutions are provided. Master expanding brackets and factorising quadratic expressions with this 3-worksheet bundle! Complete with full step-by-step answers, it is perfect for KS3, KS4, GCSE Maths revision, homework, or cover work. ________________________________________ Master Expanding Brackets and Factorising Expressions with Ease! Are your students struggling with expanding single and double brackets, or getting confused when factorising algebraic expressions? Save hours of planning with this comprehensive 3-Worksheet Algebra Practice Bundle. Designed for progressive skill mastery, these worksheets bridge the gap between basic expansion and advanced quadratic factorisation. Perfect for KS3 (Key Stage 3), KS4 (Key Stage 4), and GCSE Maths revision, this bundle gives your students the targeted practice they need to build fluency and confidence. ________________________________________ **What’s Included in This Bundle?** * **Worksheet 1: Expanding & Factorising Linear Expressions** – Covers basic single-bracket expansion, multi-step expansion with collecting like terms, and factorising expressions with a common numerical factor or variable GCF. * **Worksheet 2: Advanced Expanding & Double Brackets** – Features expanding double brackets, complex variable distribution, and fully factorising expressions with multiple variables and indices. * **Worksheet 3: Factorising Quadratic Expressions** – Transitions students into factorising binomials, difference of squares, and quadratic trinomials. ________________________________________ **Perfect For:** * Independent Practice & Homework – Clear layouts allow students to work independently. * GCSE Exam / Revision Prep – Excellent for a quick starter or review session before assessments. * Cover Work / Cover Lessons – No-prep required! Just print and hand out to your supply teacher. * Differentiated Intervention – Great for scaffolding concepts for struggling learners or foundation students. ________________________________________ **Complete Step-by-Step Answer Keys Included!** Take the stress out of marking. Every single worksheet features a complete, matching solution key with step-by-step breakdowns. This makes it ideal for quick teacher marking or student self-assessment! ________________________________________ **Curriculum Mapping:** * Perfect alignment with the UK National Curriculum for Mathematics (Algebra focus). * Directly covers essential AQA, Edexcel, and OCR GCSE Maths specification objectives for both Foundation and Higher tiers. ________________________________________

£3.10
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Factorisation worksheets (with solutions)

Nine worksheets on factorisation. Detailed solutions are included.

£8.90

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