Level 2 Further Maths (AQA)

Resources for the AQA Level 2 Certificate in Further Mathematics (8365), grouped by specification area. Most topics overlap with GCSE or A-level, so each one links to the course support section where its full set of resources lives. Matrices has its own page.

• Whole past papers
• Past paper questions by topic
• Formula sheet
• Dr Austin Maths Level 2 Further Maths resources

Contents

• Number
• Algebra
• Coordinate Geometry
• Calculus
• Matrices
• Geometry

Number

• Product Rule for Counting: problem pairs as PowerPoint or PDF · course support: Combinations
• Surds: problem pairs as PowerPoint or PDF · course support: Surds

Algebra

• Functions: Domain, Range, Composite & Inverse: problem pairs as PowerPoint or PDF · course support: Functions
• Expanding Brackets & Pascal's Triangle: problem pairs as PowerPoint or PDF · course support: Expanding Brackets
• Factorising: problem pairs as PowerPoint or PDF · course support: Factorising
• Algebraic Fractions: problem pairs as PowerPoint or PDF · course support: Algebraic Fractions
• Rearranging Formulae: problem pairs as PowerPoint or PDF · course support: Manipulating Formulae/ Changing the Subject
• Factor Theorem & Solving Cubics: problem pairs as PowerPoint or PDF · course support: Factorising
• Completing the Square: problem pairs as PowerPoint or PDF · course support: Completing the Square
• Sketching Graphs & Piecewise Functions: problem pairs as PowerPoint or PDF · course support: Functions
• Solving Linear & Quadratic Equations: problem pairs as PowerPoint or PDF · course support: Solving Quadratics
• Simultaneous Equations (Two Unknowns): problem pairs as PowerPoint or PDF · course support: Simultaneous Equations
• Simultaneous Equations (Three Unknowns): problem pairs as PowerPoint or PDF · course support: Simultaneous Equations
• Linear & Quadratic Inequalities: problem pairs as PowerPoint or PDF · course support: Quadratic Inequalities
• Indices: problem pairs as PowerPoint or PDF · course support: Indices
• Proof: problem pairs as PowerPoint or PDF · course support: Algebraic Proof
• Quadratic Sequences: problem pairs as PowerPoint or PDF · course support: Sequences
• Sequences: nth Term & Limiting Values: problem pairs as PowerPoint or PDF · course support: Sequences
• Equating Coefficients: problem pairs as PowerPoint or PDF · course support: Algebraic Proof

Coordinate Geometry

• Equation of a Straight Line: problem pairs as PowerPoint or PDF · course support: Linear Graphs & Gradients
• Distance Between Two Points: problem pairs as PowerPoint or PDF · course support: Linear Graphs & Gradients
• Ratio with Straight Lines: problem pairs as PowerPoint or PDF · course support: Linear Graphs & Gradients
• Equation of a Circle: problem pairs as PowerPoint or PDF · course support: Drawing & Using Graphs
• Equation of a Tangent to a Circle: problem pairs as PowerPoint or PDF · course support: Drawing & Using Graphs

Calculus

• Basic Differentiation: problem pairs as PowerPoint or PDF · course support: Differentiation
• Tangents & Normals: problem pairs as PowerPoint or PDF · course support: Differentiation
• Increasing & Decreasing Functions: problem pairs as PowerPoint or PDF · course support: Differentiation
• Stationary Points: problem pairs as PowerPoint or PDF · course support: Differentiation
• Second Derivative & Maxima/Minima: problem pairs as PowerPoint or PDF · course support: Differentiation
• Optimisation: problem pairs as PowerPoint or PDF · course support: Differentiation
• Graph Sketching: problem pairs as PowerPoint or PDF · course support: Differentiation

Matrices

• Multiplying 2×2 Matrices: problem pairs as PowerPoint or PDF · course support: Level 2 FM Matrices
• Transformations of the Unit Square: problem pairs as PowerPoint or PDF · course support: Level 2 FM Matrices
• Combinations of Transformations: problem pairs as PowerPoint or PDF · course support: Level 2 FM Matrices

Geometry

• Circle Theorems: problem pairs as PowerPoint or PDF · course support: Circle Theorems
• Sine & Cosine Rules & Area of a Triangle: problem pairs as PowerPoint or PDF · course support: Advanced Trigonometry
• Pythagoras 2D & 3D: problem pairs as PowerPoint or PDF · course support: Pythagoras
• Sketching Trigonometric Graphs: problem pairs as PowerPoint or PDF · course support: Exact Trig Values & Graphs
• Trigonometric Identities: problem pairs as PowerPoint or PDF · course support: Advanced Trigonometry
• Solving Simple Trigonometric Equations: problem pairs as PowerPoint or PDF · course support: Advanced Trigonometry
• Solving Harder Trigonometric Equations: problem pairs as PowerPoint or PDF · course support: Advanced Trigonometry