On this page you can find past paper questions separated by topic and topic tests, for both Foundation and Higher tiers. All question sets are taken from past papers, except for the third set, which features topic tests. Set 4 includes the latest past paper questions from 2019 to 2024.
For notes, worksheets and their solutions, visit the GCSE Algebra Revision page. Full past papers and model solutions can be found on the Paper 1, Paper 2 and Paper 3 pages.
It is recommended to start with Set 4, and if you need additional practice, you can work on sets 1-3 afterwards.
Foundation
- Algebra and Graphs (F) MS
- Algebra and Graphs (F) QP
- Basic Algebra (F) MS
- Basic Algebra (F) QP
- Coordinates and Linear Graphs (F) MS
- Coordinates and Linear Graphs (F) QP
- Equations (F) MS
- Equations (F) QP
- Inequalities (F) MS
- Inequalities (F) QP
- Quadratic Graphs (F) MS
- Quadratic Graphs (F) QP
- Quadratics, Rearranging Formulae and Identities (F) MS
- Quadratics, Rearranging Formulae and Identities (F) QP
- Real Life Graphs (F) MS
- Real Life Graphs (F) QP
- Sequences (F) MS
- Sequences (F) QP
- Simultaneous Equations (F) MS
- Simultaneous Equations (F) QP
- Sketching Graphs (F) MS
- Sketching Graphs (F) QP
- Solving Quadratic Equations (F) MS
- Solving Quadratic Equations (F) QP
Higher
- Algebraic Fractions (H) MS
- Algebraic Fractions (H) QP
- Coordinates and Linear Graphs (H) MS
- Coordinates and Linear Graphs (H) QP
- Equation of a Circle (H) MS
- Equation of a Circle (H) QP
- Further Equations and Graphs (H) MS
- Further Equations and Graphs (H) QP
- Further Quadratics, Rearranging Formulae and Identities (H) MS
- Further Quadratics, Rearranging Formulae and Identities (H) QP
- Further Sketching Graphs (H) MS
- Further Sketching Graphs (H) QP
- Inequalities (H) MS
- Inequalities (H) QP
- Linear and Quadratic Equations and Their Graphs (H) MS
- Linear and Quadratic Equations and Their Graphs (H) QP
- Numerical Methods (H) MS
- Numerical Methods (H) QP
- Pre-Calculus and Area Under a Curve (H) MS
- Pre-Calculus and Area Under a Curve (H) QP
- Real Life Graphs (H) MS
- Real Life Graphs (H) QP
- Sequences (H) MS
- Sequences (H) QP
- Simultaneous Equations (H) MS
- Simultaneous Equations (H) QP
- Transforming Functions (H) MS
- Transforming Functions (H) QP
- Coordinates in 4 Quadrants MS
- Coordinates in 4 Quadrants QP
- Equation of Circles and Tangents MS
- Equation of Circles and Tangents QP
- Equation of a Line MS
- Equation of a Line QP
- Graphs - Exponential and Trig Functions MS
- Graphs - Exponential and Trig Functions QP
- Graphs - Linear and Quadratic MS
- Graphs - Linear and Quadratic QP
- Graphs - Plot Straight Lines MS
- Graphs - Plot Straight Lines QP
- Graphs - Simple Cubic Functions MS
- Graphs - Simple Cubic Functions QP
- Linear Functions - Gradients and Intercepts MS
- Linear Functions - Gradients and Intercepts QP
- Parallel Lines MS
- Parallel Lines QP
- Perpendicular Lines MS
- Perpendicular Lines QP
- Plot and Interpret Graphs MS
- Plot and Interpret Graphs QP
- Quadratics - Completing the Square MS
- Quadratics - Completing the Square QP
- Quadratics - Roots, Intercepts, Turning Points MS
- Quadratics - Roots, Intercepts, Turning Points QP
- Rates - Gradients and Areas Under Graphs MS
- Rates - Gradients and Areas Under Graphs QP
- Transformations - Translations -Reflections MS
- Transformations - Translations -Reflections QP
- Algebraic Equivalence MS
- Algebraic Equivalence QP
- Algebraic Notation MS
- Algebraic Notation QP
- Algebraic Proof MS - AQA GCSE Maths
- Algebraic Proof MS
- Algebraic Proof QP
- Change Subject of a Formula MS
- Change Subject of a Formula QP
- Expanding More Than Two Binomials MS
- Expanding More Than Two Binomials QP
- Expanding Two Binomials MS
- Expanding Two Binomials QP
- Factorise Quadratic Expressions - Complex MS
- Factorise Quadratic Expressions - Complex QP
- Factorise Quadratic Expressions - Simple MS
- Factorise Quadratic Expressions - Simple QP
- Functions - Inputs and Outputs MS
- Functions - Inputs and Outputs QP
- Functions - Inverse and Composite MS
- Functions - Inverse and Composite QP
- Manipulate Surds MS
- Manipulate Surds QP
- Manipulate Surds and Algebraic Fractions MS
- Manipulate Surds and Algebraic Fractions QP
- Substitution MS
- Substitution QP
- Understand and Use Algebraic Vocabulary MS
- Understand and Use Algebraic Vocabulary QP
- Use Standard Formulae MS
- Use Standard Formulae QP
- Fibonacci, Quadratic, Simple Geometric MS
- Fibonacci, Quadratic, Simple Geometric QP
- Nth Term - Linear Sequences MS
- Nth Term - Linear Sequences QP
- Nth Term - Quadratic Sequences MS
- Nth Term - Quadratic Sequences QP
- Other Sequences MS
- Other Sequences QP
- Term-to-Term, Position-to-Term MS
- Term-to-Term, Position-to-Term QP
- Triangular, Square, Cube, Arithmetic MS
- Triangular, Square, Cube, Arithmetic QP
- Derive Algebraic Expressions or Formulae MS
- Derive Algebraic Expressions or Formulae QP
- Derive Equations and Simultaneous Equations MS
- Derive Equations and Simultaneous Equations QP
- Inequalities - One Variable (Linear) MS
- Inequalities - One Variable (Linear) QP
- Inequalities - Solution on Number Line MS
- Inequalities - Solution on Number Line QP
- Inequalities - Solutions on Number Line, Set Notation, Graphical MS
- Inequalities - Solutions on Number Line, Set Notation, Graphical QP
- Inequalities - Two Variable (Linear and Quadratic) MS
- Inequalities - Two Variable (Linear and Quadratic) QP
- Iteration - Approximate Solutions MS
- Iteration - Approximate Solutions QP
- Linear - One Unknown MS
- Linear - One Unknown QP
- Linear - Unknown on Both Sides MS
- Linear - Unknown on Both Sides QP
- Quadratics - Factorising MS
- Quadratics - Factorising QP
- Quadratics - Graphically MS
- Quadratics - Graphically QP
- Quadratics - Rearrangement, Complete the Square MS
- Quadratics - Rearrangement, Complete the Square QP
- Simultaneous Eqns - Graphically MS
- Simultaneous Eqns - Graphically QP
- Simultaneous Equations - Linear-Linear MS
- Simultaneous Equations - Linear-Linear QP
- Simultaneous Equations - Linear-Quadratic MS
- Simultaneous Equations - Linear-Quadratic QP
Foundation
- Algebra Recap and Extension (F) MS
- Algebra Recap and Extension (F) QP
- Algebra and Graphs (F) MS
- Algebra and Graphs (F) QP
- Coordinates and Linear Graphs (F) MS
- Coordinates and Linear Graphs (F) QP
- Graphs Recap and Extension 1 (F) MS
- Graphs Recap and Extension 1 (F) QP
- Graphs Recap and Extension 2 (F) MS
- Graphs Recap and Extension 2 (F) QP
- Quadratic Graphs (F) MS
- Quadratic Graphs (F) QP
- Real Life Graphs (F) MS
- Real Life Graphs (F) QP
- Sketching Graphs (F) MS
- Sketching Graphs (F) QP
Higher
- Algebra Recap and Review (H) MS
- Algebra Recap and Review (H) QP
- Coordinates and Linear Graphs (H) MS
- Coordinates and Linear Graphs (H) QP
- Equation of a Circle (H) MS
- Equation of a Circle (H) QP
- Further Equations and Graphs (H) MS
- Further Equations and Graphs (H) QP
- Further Sketching Graphs (H) MS
- Further Sketching Graphs (H) QP
- Linear and Quadratic Equations and Their Graphs (H) MS
- Linear and Quadratic Equations and Their Graphs (H) QP
- Pre-Calculus and Area Under a Curve (H) MS
- Pre-Calculus and Area Under a Curve (H) QP
- Real Life Graphs (H) MS
- Real Life Graphs (H) QP
- Sketching Graphs (H) MS
- Sketching Graphs (H) QP
- Transforming Functions (H) MS
- Transforming Functions (H) QP
Foundation
- Algebra Recap and Extension (F) MS
- Algebra Recap and Extension (F) QP
- Basic Algebra 1 (F) MS
- Basic Algebra 1 (F) QP
- Basic Algebra 2 (F) MS
- Basic Algebra 2 (F) QP
- Basic Algebra 3 (F) MS
- Basic Algebra 3 (F) QP
- Basic Algebra 4 (F) MS
- Basic Algebra 4 (F) QP
- Basic Algebra 5 (F) MS
- Basic Algebra 5 (F) QP
- Quadratics, Rearranging, Identities 1 (F) MS
- Quadratics, Rearranging, Identities 1 (F) QP
- Quadratics, Rearranging, Identities 2 (F) MS
- Quadratics, Rearranging, Identities 2 (F) QP
- Quadratics, Rearranging, Identities 3 (F) MS
- Quadratics, Rearranging, Identities 3 (F) QP
- Quadratics, Rearranging, Identities 4 (F) MS
- Quadratics, Rearranging, Identities 4 (F) QP
- Quadratics, Rearranging, Identities 5 (F) MS
- Quadratics, Rearranging, Identities 5 (F) QP
- Quadratics, Rearranging, Identities 6 (F) MS
- Quadratics, Rearranging, Identities 6 (F) QP
- Quadratics, Rearranging, Identities 7 (F) MS
- Quadratics, Rearranging, Identities 7 (F) QP
- Quadratics, Rearranging, Identities 8 (F) MS
- Quadratics, Rearranging, Identities 8 (F) QP
- Quadratics, Rearranging, Identities 9 (F) MS
- Quadratics, Rearranging, Identities 9 (F) QP
Higher
- Algebra Recap and Review (H) MS
- Algebra Recap and Review (H) QP
- Algebraic Fractions (H) MS
- Algebraic Fractions (H) QP
- Basic Algebra Review (H) MS
- Basic Algebra Review (H) QP
- Further Quadratics, Rearranging Formulae and Identities (H) MS
- Further Quadratics, Rearranging Formulae and Identities (H) QP
- Introduction to Quadratics and Rearranging Formulae (H) MS
- Introduction to Quadratics and Rearranging Formulae (H) QP
Foundation
Foundation
- Algebra Recap and Extension (F) MS
- Algebra Recap and Extension (F) QP
- Equations (F) MS
- Equations (F) QP
- Inequalities 1 (F) MS
- Inequalities 1 (F) QP
- Inequalities 2 (F) MS
- Inequalities 2 (F) QP
- Quadratics, Rearranging, Identities 1 (F) MS
- Quadratics, Rearranging, Identities 1 (F) QP
- Quadratics, Rearranging, Identities 2 (F) MS
- Quadratics, Rearranging, Identities 2 (F) QP
- Quadratics, Rearranging, Identities 3 (F) MS
- Quadratics, Rearranging, Identities 3 (F) QP
- Quadratics, Rearranging, Identities 4 (F) MS
- Quadratics, Rearranging, Identities 4 (F) QP
- Quadratics, Rearranging, Identities 5 (F) MS
- Quadratics, Rearranging, Identities 5 (F) QP
- Quadratics, Rearranging, Identities 6 (F) MS
- Quadratics, Rearranging, Identities 6 (F) QP
- Quadratics, Rearranging, Identities 7 (F) MS
- Quadratics, Rearranging, Identities 7 (F) QP
- Quadratics, Rearranging, Identities 8 (F) MS
- Quadratics, Rearranging, Identities 8 (F) QP
- Quadratics, Rearranging, Identities 9 (F) MS
- Quadratics, Rearranging, Identities 9 (F) QP
- Simultaneous Equations (F) MS
- Simultaneous Equations (F) QP
- Solving Quadratic Equations (F) MS
- Solving Quadratic Equations (F) QP
Higher
- Algebra Recap and Review (H) MS
- Algebra Recap and Review (H) QP
- Equations (H) MS
- Equations (H) QP
- Further Equations and Graphs (H) MS
- Further Equations and Graphs (H) QP
- Further Quadratics, Rearranging Formulae and Identities (H) MS
- Further Quadratics, Rearranging Formulae and Identities (H) QP
- Inequalities (H) MS
- Inequalities (H) QP
- Numerical Methods (H) MS
- Numerical Methods (H) QP
- Simultaneous Equations (H) MS
- Simultaneous Equations (H) QP
Notation, Vocabulary and Manipulation || Sequences || Graphs || Solving Equations and Inequalities
Notation, Vocabulary and Manipulation
Question Papers
Mark Schemes
Model Answers
Sequences
Graphs
Question Papers
Mark Schemes
Model Answers
Solving Equations and Inequalities
Question Papers
Mark Schemes
Notation, Vocabulary and Manipulation || Sequences || Graphs || Solving Equations and Inequalities
Notation, Vocabulary and Manipulation
Question Papers
- Algebraic Fractions (H) QP
- Algebraic Proof (H) QP
- Deriving Expressions (H) QP
- Expanding Equations (H) QP
- Expanding Triple Brackets (H) QP
- Factorising Equations (H) QP
- Forming Equations (H) QP
- Functions (Composite or Inverse) (H) QP
- Inputs and Outputs (H) QP
- Manipulation of Formulae (H) QP
- Simplifying Expressions (H) QP
- Substitution into Equations (H) QP
Mark Schemes
- Algebraic Fractions (H) MS
- Algebraic Proof (H) MS
- Deriving Expressions (H) MS
- Expanding Equations (H) MS
- Expanding Triple Brackets (H) MS
- Factorising Equations (H) MS
- Forming Equations (H) MS
- Functions (Composite or Inverse) (H) MS
- Inputs and Outputs (H) MS
- Manipulation of Formulae (H) MS
- Simplifying Expressions (H) MS
- Substitution into Equations (H) MS
Model Answers
- Algebraic Fractions (H) MA
- Algebraic Proof (H) MA
- Deriving Expressions (H) MA
- Expanding Equations (H) MA
- Expanding Triple Brackets (H) MA
- Factorising Equations (H) MA
- Forming Equations (H) MA
- Functions (Composite or Inverse) (H) MA
- Inputs and Outputs (H) MA
- Manipulation of Formulae (H) MA
- Simplifying Expressions (H) MA
- Substitution into Equations (H) MA
Sequences
Question Papers
Mark Schemes
Model Answers
Graphs
Question Papers
- Areas Under Graphs (H) QP
- Circle Equations and Tangents (H) QP
- Coordinates (H) QP
- Cubic and Reciprocal Graphs (H) QP
- Distance-time Graphs (H) QP
- Equations of Straight Lines (H) QP
- Exponential and Trigonometric Graphs (H) QP
- Graphs of Linear Equations (H) QP
- Graphs of Quadratic Equations (H) QP
- Inequalities on Graphs (H) QP
- Interpreting Gradients (H) QP
- Parallel or Perpendicular Lines (H) QP
- Translations and Reflections of Functions (H) QP
- Velocity-time graphs (H) QP
Mark Schemes
- Areas Under Graphs (H) MS
- Circle Equations and Tangents (H) MS
- Coordinates (H) MS
- Cubic and Reciprocal Graphs (H) MS
- Distance-time Graphs (H) MS
- Equations of Straight Lines (H) MS
- Exponential and Trigonometric Graphs (H) MS
- Graphs of Linear Equations (H) MS
- Graphs of Quadratic Equations (H) MS
- Inequalities on Graphs (H) MS
- Interpreting Gradients (H) MS
- Parallel or Perpendicular Lines (H) MS
- Translations and Reflections of Functions (H) MS
- Velocity-time graphs (H) MS
Model Answers
- Areas Under Graphs (H) MA
- Circle Equations and Tangents (H) MA
- Coordinates (H) MA
- Cubic and Reciprocal Graphs (H) MA
- Distance-time Graphs (H) MA
- Equations of Straight Lines (H) MA
- Exponential and Trigonometric Graphs (H) MA
- Graphs of Linear Equations (H) MA
- Graphs of Quadratic Equations (H) MA
- Inequalities on Graphs (H) MA
- Interpreting Gradients (H) MA
- Parallel or Perpendicular Lines (H) MA
- Translations and Reflections of Functions (H) MA
- Velocity-time graphs (H) MA
