

A worksheet on factorising algebraic expressions using the method of grouping.
The first exercise is on factoring algebraic expressions by taking the highest common factor of their terms and the remaining exercises are on factoring by grouping. Detailed solutions are included.
Are you looking for a comprehensive, no-prep algebra booklet to help your students master factorising polynomials? This 10-page resource features 40 structured practice questions ranging from basic Greatest Common Factor (GCF) to advanced factorising by grouping and expression evaluation, complete with a full step-by-step master answer key.
Save hours of planning time with this complete Factorising by Grouping and GCF Practice Booklet! Tailored specifically for Secondary Mathematics students across Key Stage 3, Key Stage 4, and GCSE preparation, this multi-page resource systematically guides learners through the core methods of polynomial factorisation.
Whether you need a reliable homework assignment, an independent revision guide, targeted exam preparation, or a quick emergency cover lesson, this print-and-go resource has you covered.
What is Included in this Booklet?
• Page 1: GCF Introduction – 12 foundational questions focusing on factorising out the Greatest Common Factor from linear and quadratic expressions.
• Page 2: Binomial GCF Grouping – 10 problems that transition students into recognizing binomial common factors, including tricky sign-switching questions.
• Pages 3 & 4: Four-Term Polynomial Grouping – 18 intermediate to advanced expressions where students group terms to factorise completely.
• Page 5: Evaluating Factored Expressions – 6 higher-order thinking extension questions where students must first factorise the expression and then substitute given values to solve.
• Pages 6–10: Full Master Solutions – Every single page features a matching, completely worked-out solution sheet to make marking a breeze or allow for student self-assessment.
Perfect For:
• KS3 Extension, KS4 Core, and GCSE Mathematics classes
• Remedial math groups and targeted intervention
• Homework tasks, weekly quizzes, or structured classwork
• Independent study and exam revision packs
Topic Keywords Covered:
Factorising by grouping, greatest common factor (GCF), algebraic expressions, factorising polynomials, quadratic brackets, algebra expansion, GCSE Maths revision.
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