A revision worksheet on the following algebra topics:

• Algebraic identities (perfect square, difference of two squares)
• Factorization (common factor, difference of two squares, perfect square, trinomial, grouping)
• Simplifying algebraic fractions
• Addition, subtraction, multiplication and division between algebraic fractions
• Quadratic equations
• Equations with algebraic fractions
  Four pages of exercises and detailed solutions are provided.

Are you looking for a comprehensive GCSE Maths revision sheet to help your Key Stage 4 students master algebraic identities, factorisation, and rational expressions? This multi-page practice packet is perfect for KS4 exam preparation, homework assignments, independent study, or structured cover work.
This ready-to-print resource features clean formatting and a progressive difficulty curve designed to build student confidence and algebraic fluency.
What is Covered in This Resource?
Algebraic manipulation is a core component of the secondary mathematics curriculum. This worksheet breaks down complex operations into manageable, progressive problem sets to ensure students understand the fundamental rules of variables and fractions before moving on to solving complex equations.

Detailed Breakdown of the Worksheet:
• Part 1: Expanding Algebraic Identities – Targeted practice with perfect square trinomials and expanding the difference of two squares.
• Part 2: Factorising Polynomials – Developing skills in factorising by extracting the highest common factor (HCF), factorising quadratic trinomials, grouping, and identifying difference of squares layouts.
• Part 3 & 4: Simplifying & Operating on Algebraic Fractions – Reducing rational expressions, multiplying, dividing, and finding common denominators to add or subtract algebraic fractions safely.
• Part 5 & 6: Solving Equations – Multi-step practice for solving both quadratic equations and fractional rational equations.
• Full Step-by-Step Teacher Answer Key – Complete worked-out solutions are included, making grading quick and easy, or allowing students to self-assess and self-correct their work.

Perfect For:
• GCSE Exam Prep & Revision: Excellent for AQA, Edexcel, and OCR Higher Tier math preparation.
• Key Stage 4 Lessons: Great as a consolidation activity after finishing an algebra unit.
• Homework & Independent Learning: A structured layout that supports independent study.
• Cover Work / Emergency Lessons: Clear instructions allow it to be easily delivered by non-specialist cover teachers.