A collection of 6 worksheets on algebraic manipulation based on the GCSE 9-1 specification.
The following worksheet are included:

• Multiplying out two brackets
• Multiplying three brackets
• Factorising quadratics
• Simplifying algebraic fractions
• Operations with algebraic fractions
• Completing the square
  Detailed solutions are included.

Master core algebra skills with this comprehensive, no-prep 6-worksheet bundle! Perfect for KS3 and GCSE 9-1 maths lessons, this print-and-go toolkit covers expanding double/triple brackets, factorising quadratics, completing the square, and algebraic fractions with full worked solutions included.

Are you looking for a rigorous, ready-to-print resource to help your students master algebraic manipulation?
This complete 6-worksheet practice pack takes students from foundational polynomial expansion all the way up to complex rational operations. Highly suitable for Key Stage 3 extension and standard GCSE 9-1 Maths classes (both Foundation and Higher tiers), this bundle provides structured, scaffolded practice sheets that systematically build mathematical fluency and confidence.

What’s Included in This 6-Worksheet Bundle:
• Worksheet 1: Multiplying Out Two Brackets – Focused practice on expanding double brackets and simplifying advanced expressions containing multiple variables.
• Worksheet 2: Multiplying Three Brackets – Higher-level expansion and simplification tasks to challenge student processing and accuracy.
• Worksheet 3: Factorising Quadratics – Step-by-step practice covering common factors, trinomials (a=1 and a>1), and the difference of two squares.
• Worksheet 4: Simplifying Algebraic Fractions – Targeted exercises requiring students to factorise numerators and denominators to reduce fractions to their simplest form.
• Worksheet 5: Operations with Algebraic Fractions – Advanced problems covering multiplication, division, and fractions requiring a common denominator to add or subtract.
• Worksheet 6: Completing the Square – Comprehensive practice for transforming quadratic expressions, including tricky examples with fractional steps and leading coefficients greater than 1.
• Full Worked Solutions – Complete, step-by-step mathematical solutions for every single problem—ideal for quick marking, cover work, or student self-assessment!

Perfect For:
• Key Stage 3 Maths Extension (Years 8 and 9)
• GCSE 9-1 Revision & Exam Prep (Foundation & Higher Tiers)
• Independent Practice, Homework Tasks, or Cover Work
• Maths Intervention Groups & Revision Packets

Curriculum Alignment:
Fully aligned with the UK National Curriculum for Mathematics and suitable for all major exam boards, including AQA, Edexcel, and OCR:
• Algebra (A4): Simplify and manipulate algebraic expressions by maintaining the structure of an expression, including expanding products of two or more binomials and factorising quadratic expressions.
• Algebra (A5): Understand and use standard mathematical formulae; complete the square on quadratic expressions.
• Algebra (A7): Argue mathematically to show algebraic expressions are equivalent, and manipulate algebraic fractions.