On this page you can find past paper questions separated by topic and topic tests, for both Foundation and Higher tiers. The first two sets are from past papers and the third one is a set of topic tests.

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.

##### Notation Vocabulary and Manipulation

- Algebraic Proofs (FH)
- Deriving Expressions (F)
- Deriving Expressions (FH)
- Expanding Equations (F)
- Expanding Expressions (FH)
- Factorising Equations (F)
- Factorising Expressions (FH)
- Forming Equations (F)
- Forming Equations (FH)
- Input-Output (F)
- Manipulation of Formulae (F)
- Manipulation of Formulae (FH)
- Simplifying Expressions (F)
- Simplifying Expressions (FH)
- Solving Using Indices (FH)
- Substitution (F)
- Substitution Into Equations (FH)

##### Sequences

##### Graphs

- Conversion Graphs (F)
- Conversion Graphs (FH)
- Coordinates in 3D (FH)
- Distance-Time Graphs (F)
- Distance-Time Graphs (FH)
- Exponential Growth and Decay (FH)
- Gradients of Straight Lines (FH)
- Graphs of Circles (FH)
- Graphs of Linear Equations (FH)
- Graphs of Quadratic Equations (FH)
- Graphs of Trigonometrical Functions (FH)
- Line Graphs (F)
- Line Graphs of Real Situations (FH)
- Transformation of Graphs (FH)
- Using y=mx+c (FH)

##### Solving Equations and Inequalities

##### Notation Vocabulary and Manipulation

- Algebraic Proofs (FH)
- Algebraic Proofs (H)
- Deriving Expressions (FH)
- Expanding Equations (H)
- Expanding Expressions (FH)
- Factorising Expressions (FH)
- Factorising Expressions (H)
- Forming Equations (FH)
- Forming Equations (H)
- Manipulation of Formulae (FH)
- Manipulation of Formulae (H)
- Simplifying Expressions (FH)
- Simplifying Expressions (H)
- Solving Algebraic Fraction Equations (H)
- Solving Algebraic Fractions (H)
- Solving Using Indices (FH)
- Solving Using Indices (H)
- Substitution (H)
- Substitution Into Equations (FH)

##### Sequences

##### Graphs

- Conversion Graphs (FH)
- Coordinates in 3D (FH)
- Distance-Time Graphs (FH)
- Exponential Growth and Decay (FH)
- Exponential Growth and Decay (H)
- Gradients of Straight Lines (FH)
- Gradients of Straight Lines (H)
- Graphs of Circles (FH)
- Graphs of Circles (H)
- Graphs of Linear Equations (FH)
- Graphs of Linear Equations (H)
- Graphs of Quadratic Equations (FH)
- Graphs of Quadratic Equations (H)
- Graphs of Trigonometrical Functions (FH)
- Graphs of Trigonometrical Functions (H)
- Line Graphs of Real Situations (FH)
- Line Graphs of Real Situations (H)
- Transformation of Graphs (FH)
- Transformation of Graphs (H)
- Using y=mx+c (FH)
- Using y=mx+c (H)

##### Solving Equations and Inequalities

##### Notation Vocabulary and Manipulation

- Deriving Expressions (F)
- Deriving Expressions (FH)
- Expanding Expressions (F)
- Expanding Expressions (FH)
- Factorising Expressions (FH)
- Manipulation of Formulae (F)
- Manipulation of Formulae (FH)
- Simplfying Equations (FH) 2
- Simplifying Equations (F)
- Simplifying Equations (FH) 1
- Substituting Into Equations (F)
- Substituting Into Equations (FH)

##### Sequences

##### Notation Vocabulary and Manipulation

- Algebraic Proofs (H)
- Deriving Expressions (FH)
- Deriving Expressions (H)
- Expanding Expressions (FH)
- Expanding Expressions (H)
- Factorising Expressions (FH)
- Factorising Expressions (H)
- Functions (H)
- Manipulation of Formulae (FH)
- Manipulation of Formulae (H)
- Simplfying Equations (FH) 2
- Simplfying Equations (H) 2
- Simplifying Equations (FH) 1
- Simplifying Equations (H) 1
- Substituting Into Equations (FH)
- Substituting Into Equations (H)

##### Sequences

##### Graphs

- Conversion Graphs (FH)
- Distance-Time and Travel Graphs (FH)
- Gradients of Straight Lines (H)
- Graphs of Cubic Equations (H)
- Graphs of Linear Equations (FH)
- Graphs of Linear Equations (H)
- Graphs of Quadratic Equations (FH)
- Graphs of Quadratic Equations (H)
- Graphs of Reciprocal Equations (H)
- Graphs of Trigonometrical Functions (H)
- Transformation of Functions (H)