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Algebra GCSE Revision Worksheets

This collection of algebra worksheets covers everything from basic algebraic expressions and solving equations at grades 1-3 through to quadratic simultaneous equations, circle theorems, and algebraic proof at grades 8-9. Algebra forms roughly 30% of both Foundation and Higher tier papers, making it the most heavily weighted strand in GCSE maths. Teachers notice that students who struggle with algebra revision often try to memorise methods rather than understanding structural patterns. Every worksheet includes complete answer sheets and downloads as a PDF, making them suitable for independent revision, homework tasks, or structured classroom practice during the final weeks before exams.

Charge Graphs

Target Grade: 1-3

Preview of Charge Graphs

Collecting Like Terms

Target Grade: 1-3

Preview of Collecting Like Terms

Continuing Sequences

Target Grade: 1-3

Preview of Continuing Sequences

Conversion Graphs

Target Grade: 1-3

Preview of Conversion Graphs

Expanding Single Brackets

Target Grade: 1-3

Preview of Expanding Single Brackets

Factorising into Single Brackets

Target Grade: 1-3

Preview of Factorising into Single Brackets

Inequalities on Number Line

Target Grade: 1-3

Preview of Inequalities on Number Line

Number Machines

Target Grade: 1-3

Preview of Number Machines

Order of Operations

Target Grade: 1-3

Preview of Order of Operations

Solving Equations

Target Grade: 1-3

Preview of Solving Equations

Substitution Foundation

Target Grade: 1-3

Preview of Substitution Foundation

Expanding Double Brackets

Target Grade: 4-5

Preview of Expanding Double Brackets

Expanding Single Brackets (B)

Target Grade: 4-5

Preview of Expanding Single Brackets (B)

Factorising into Single Brackets (B)

Target Grade: 4-5

Preview of Factorising into Single Brackets (B)

Factorising Quadratics

Target Grade: 4-5

Preview of Factorising Quadratics

Forming Algebraic Expressions

Target Grade: 4-5

Preview of Forming Algebraic Expressions

Forming and Solivng Equations with Shape

Target Grade: 4-5

Preview of Forming and Solivng Equations with Shape

Forming and Solving Equations

Target Grade: 4-5

Preview of Forming and Solving Equations

Geometric and Other Sequences

Target Grade: 4-5

Preview of Geometric and Other Sequences

Interpreting Graphs

Target Grade: 4-5

Preview of Interpreting Graphs

Linear Inequalities

Target Grade: 4-5

Preview of Linear Inequalities

Linear Nth Terms

Target Grade: 4-5

Preview of Linear Nth Terms

Plotting Quadratic Graphs

Target Grade: 4-5

Preview of Plotting Quadratic Graphs

Quadratic Nth Terms

Target Grade: 4-5

Preview of Quadratic Nth Terms

Rearranging Formulae

Target Grade: 4-5

Preview of Rearranging Formulae

Rearranging Formulae (B)

Target Grade: 4-5

Preview of Rearranging Formulae (B)

Solving Equations with Brackets and Unknowns on both sides

Target Grade: 4-5

Preview of Solving Equations with Brackets and Unknowns on both sides

Solving Quadratic Equations by Factorising

Target Grade: 4-5

Preview of Solving Quadratic Equations by Factorising

Solving Simultaneous Equations

Target Grade: 4-5

Preview of Solving Simultaneous Equations

Solving Simultaneous Equations Graphically

Target Grade: 4-5

Preview of Solving Simultaneous Equations Graphically

Straight Line Graphs

Target Grade: 4-5

Preview of Straight Line Graphs

Subsitution

Target Grade: 4-5

Preview of Subsitution

Substituting into Formulae

Target Grade: 4-5

Preview of Substituting into Formulae

Travel Graphs

Target Grade: 4-5

Preview of Travel Graphs

Algebraic Fractions

Target Grade: 6-7

Preview of Algebraic Fractions

Algebraic Proof

Target Grade: 6-7

Preview of Algebraic Proof

Completing the Square

Target Grade: 6-7

Preview of Completing the Square

Cubic Functions

Target Grade: 6-7

Preview of Cubic Functions

Expanding Triple Brackets

Target Grade: 6-7

Preview of Expanding Triple Brackets

Factorising Quadratics (B)

Target Grade: 6-7

Preview of Factorising Quadratics (B)

Functions

Target Grade: 6-7

Preview of Functions

Iteration

Target Grade: 6-7

Preview of Iteration

Perpendicular Line Equations

Target Grade: 6-7

Preview of Perpendicular Line Equations

Quadratic Nth Terms (B)

Target Grade: 6-7

Preview of Quadratic Nth Terms (B)

Sketch the Graph of Functions

Target Grade: 6-7

Preview of Sketch the Graph of Functions

Solving Inequalities Graphically

Target Grade: 6-7

Preview of Solving Inequalities Graphically

Solving Quadratic Equations by Factorising (B)

Target Grade: 6-7

Preview of Solving Quadratic Equations by Factorising (B)

Solving Simultaneous Equations Graphically (B)

Target Grade: 6-7

Preview of Solving Simultaneous Equations Graphically (B)

The Quadratic Formula

Target Grade: 6-7

Preview of The Quadratic Formula

Estimating Gradients and Area

Target Grade: 8-9

Preview of Estimating Gradients and Area

Exponential Functions

Target Grade: 8-9

Preview of Exponential Functions

Graphs of Trigonometric Functions

Target Grade: 8-9

Preview of Graphs of Trigonometric Functions

Quadratic Inequalities

Target Grade: 8-9

Preview of Quadratic Inequalities

Quadratic Simultaneous Equations

Target Grade: 8-9

Preview of Quadratic Simultaneous Equations

Solving Quadratic Equations

Target Grade: 8-9

Preview of Solving Quadratic Equations

Transform Graphs of Functions

Target Grade: 8-9

Preview of Transform Graphs of Functions

All worksheets are created by the team of experienced teachers at Cazoom Maths.

What algebra topics are essential for GCSE maths?

Foundation tier students (grades 1-5) must secure solving linear equations, expanding and factorising single brackets, substitution, forming expressions, and linear sequences. Higher tier students (grades 4-9) need everything Foundation covers plus quadratics, simultaneous equations, algebraic fractions, functions, and proof. The grade 4/5 boundary typically requires secure manipulation of algebraic expressions and solving equations with unknowns on both sides.

Students lose marks when they rush rearranging formulae or drop negative signs during expansion. Examiners expect every algebraic step shown clearly, particularly when solving equations. Teachers find that students who practise mixed algebra questions across topics perform better than those who revise each skill in isolation, as exam papers deliberately test connections between methods.

How are these algebra worksheets organised by grade?

Worksheets are grouped into four grade bands: 1-3 covers foundational algebra including basic equations, substitution, and simple sequences; 4-5 bridges Foundation and Higher with quadratics, simultaneous equations, and rearranging formulae; 6-7 introduces Higher tier concepts like algebraic proof, completing the square, and functions; 8-9 targets top grades with circle equations, quadratic inequalities, and advanced transformation of graphs.

Foundation students preparing for grades 1-5 should focus on the lower three bands, ensuring complete mastery of grades 1-3 and 4-5 content before attempting grade 6-7 material. Higher tier students aiming for grades 7-9 need secure understanding of grades 4-5 concepts first, as exam questions often combine techniques from multiple grade bands. This targeted approach prevents students wasting revision time on content above their target grade.

How is algebra tested in GCSE maths exams?

Algebra appears across all three GCSE papers, typically accounting for 25-35 marks per paper. Foundation papers test equations, expressions, sequences, and basic graphs through 1-3 mark questions with occasional 4-5 mark problems involving forming and solving equations. Higher papers include similar foundational content but add multi-step questions on quadratics, proof, functions, and algebraic fractions, with problem-solving questions worth 6-8 marks combining several techniques.

Examiners expect clear algebraic working at every step. Students lose marks by jumping steps in equation solving or failing to show factorisation clearly. Mark schemes reward correct methods even with arithmetic errors, so writing out each stage matters. Teachers notice students often run out of time on algebra-heavy Paper 3, making timed practice essential. Questions rarely test one skill in isolation at Higher tier.

What revision strategies work best for GCSE algebra?

Start revision by identifying weak topics using diagnostic worksheets across grade bands, then focus practice on those specific skills before moving to mixed questions. Timed practice matters because algebra questions require methodical working under pressure. Students should aim to complete grade-appropriate worksheets within realistic exam time allocations, typically 1-1.5 minutes per mark. Spaced repetition works better than cramming—revisiting topics every few days embeds techniques more effectively than intensive single sessions.

Teachers find revision most effective when students complete worksheets independently, check answers immediately, then rework incorrect questions rather than just marking them wrong. Setting mixed algebra worksheets as weekly homework throughout Year 11 builds fluency gradually. Pairing worksheet practice with past paper questions shows students how topics combine in exam contexts. The answer sheets allow students to self-assess and identify patterns in their errors, particularly with sign errors or algebraic manipulation.