AQA Level 2 Further Mathematics


AQA Level 2 Further Maths Specification                                                      AQA Level 2 Further Maths formula sheet
     
1st Class Maths is an excellent website with video explanations (1st), practice exam questions (1st) and video solutions (1st).


Content

     

Chapter 1: Number and algebra 1

Expanding brackets

Practice questions Answers

Expanding three brackets

Video Practice questions Answers

Binomial expansion (Pascal's triangle) NEW

Video (1st) Questions (1st) Solutions (1st)
 
Video Practice questions Answers

Surds (addition & subtraction)

Video Practice questions Answers

Surds (rationalising denominators)

Video Practice questions Answers

Product rule for counting

Video (1st) Questions (1st) Solutions (1st)
 
Video Practice questions Answers

Chapter 2: Algebra 2

Factorising

Video (1st) Questions (1st) Solutions (1st)
 
Practice questions Answers

Factorising Quadratics

Video Practice questions Answers

Rearranging (changing the subject)

Video Practice questions Answers

Algebraic fractions

Video: Add/subtract Video: Multiplication
 
Video: Division Video: Equations
 
Practice questions Answers

Completing the Square (x²)

Video: x² Video: ax²
 
Practice questions Answers

Chapter 3: Algebra 3

Functions NEW

Video: Composite Video: Inverse
 
Practice questions Answers

Domain and Range NEW

Video (1st) Questions (1st) Solutions (1st)
 
Video Practice questions Answers

Sketching Functions

Video

Equation of a Line

Video Practice questions Answers

Exponential Graphs

Practice questions Answers

Sketching Quadratics

Video Practice questions Answers

Piecewise functions NEW

Video (1st) Questions (1st) Solutions (1st)

Chaper 4: Algebra 4

Solving quadratics by factorisation

Video Practice questions Answers

Completing the square

Practice questions Answers

Quadratic formula

Video Practice questions Answers

Simultaneous equations (both linear)

Practice questions Answers

Simultaneous equations (non-linear)

Video Practice questions Answers

Factor theorem

Video (1st) Questions (1st) Solutions (1st)
 
Video: Factor theorem Video: Algebraic long division
     
Practice questions Answers

Long division of polynomials NEW

Video (1st) Questions (1st) Solutions (1st)
 

Inequalities, including quadratic

Video Practice questions Answers

Laws of Indices

Practice questions Answers

Fractional & negative indices

Video: Fractional Video: Negative
 
Practice questions Answers

Equations with indices/roots

Video (1st) Questions (1st) Solutions (1st)
 
Video Practice questions Answers

Algebraic Proof

Video Practice questions Answers

Limiting value of sequences NEW

Video (1st) Questions (1st) Solutions (1st)
 

Sequences, including limiting value of sequences

Video: Linear Video: Limiting values NEW
     
Practice questions Answers

Quadratic Sequences

Video 1 Video 2 Practice questions Answers

Simultaneous equations (3 unknowns) NEW

Video (1st) Questions (1st) Solutions (1st)
 
Video Practice questions Answers

Chaper 5: Coordinate geometry

Parallel & perpendicular lines

Practice questions Answers

Distance between two points

Video Practice questions Answers

Equation of a Line

Video Practice questions Answers

Midpoint & dividing line in ratio NEW

Video: Midpoint Video: Dividing in given ratio NEW
     
Practice questions Answers

Equation of a Circle

Video (1st) Questions (1st) Solutions (1st)
 
Video: Centre at origin Video: Centre not at origin
     
Practice questions Answers

Chapter 6: Geometry 1

Circle theorems

Video Practice questions Answers

Geometric proof

Video Practice questions Answers

Trigonometric graphs

Video Practice questions Answers

Solving trigonometric equations NEW

Video (1st) Questions (1st) Solutions (1st)
 
Video 1 Video 2 Video 3
 
Practice questions Answers

Trigonometric identities NEW

Video (1st) Questions (1st) Solutions (1st)
 
Video Practice questions Answers

Harder trigonometric identities NEW

Video (1st) Questions (1st) Solutions (1st)

Chapter 7: Geometry 2

Non-right-angled trigonometry

Video: Cosine Rule (finding sides) Video: Cosine Rule (finding angles)
     
Video: Sine Rule (finding sides) Video: Sine Rule (finding angles)
     
Video: Sine Rule (ambiguous case) NEW Video: Area of a Triangle
     
Video: Cosine Rule (finding sides) Video: Cosine Rule (finding angles)
     
Practice questions Answers

3D Pythagoras & Trigonometry

Video: Pythagoras Video: Trigonometry
 
Practice questions Answers

Content (continued)

     

Chapter 8: Calculus NEW

Differentiation NEW

Video (1st) Questions (1st) Solutions (1st)
 
Video: Introduction Video: Differentiation
     
Video: Rearranging before differentiating
     
Practice questions Answers

Gradients of curves, tangents and normals NEW

Video (1st) Questions (1st) Solutions (1st)

Gradient of a curve NEW

Video Practice questions Answers

Equation of a tangent NEW

Video Practice questions Answers

Equation of a normal NEW

Video Practice questions Answers

Increasing/decreasing functions NEW

Video (1st) Questions (1st) Solutions (1st)
 
Video Practice questions Answers

Second derivative NEW

Video Practice questions Answers

Stationary points NEW

Video (1st) Questions (1st) Solutions (1st)
 
Video Practice questions Answers

Optimisation NEW

Video (1st) Questions (1st) Solutions (1st)
 
Video Practice questions Answers

Chapter 9: Matrices NEW

Multiplying matrices NEW

Video (1st) Questions (1st) Solutions (1st)
 
Video: By a scalar Video: 2×2 by 2×1 Video: 2×2 by 2×2
     
Video: Identity Matrix Practice questions Answers

The Identity matrix NEW

Video (1st) Questions (1st) Solutions (1st)

Matrix transformations NEW

Video (1st) Questions (1st) Solutions (1st)
 
Video: Transforming the Unit Square
     
Video: Matrix Transformations
     
Practice questions Answers

Combining matrix transformations NEW

Video (1st) Questions (1st) Solutions (1st)

Topic test
preparation

     
Topic test 1: Algebra 1 (Chapters 1 & 2)
     
Topic test 2: Algebra 2 (Chapters 3 & 4)
     
Topic test 3: Geometry (Chapters 5, 6 & 7)
     
Topic test 4: Differentiation (Chapter 8)
     
Topic test 5: Matrices (Chapter 9)

Revision

     
Algebraic problems Algebraic problems MS
     
Algebraic Proof Algebraic Proof MS
     
Calculus Calculus MS
     
Circles Circles MS
     
Factor Theorem Factor Theorem MS
     
Functions Functions MS
     
Inequalities Inequalities MS
     
Matrices 1 Matrices 1 MS
     
Matrices 2 Matrices 2 MS
     
Matrix Revision Sheet
     
Geometric proof Geometric proof MS
     
Sequences Sequences MS
     
Trigonometry Trigonometry MS

Past papers &
mark schemes

     

Sample

     
Sample Paper 1 Sample Paper 1 MS
     
Sample Paper 2 Sample Paper 2 MS
     

November 2021

     
Nov 2021 Paper 1 Nov 2021 Paper 1 MS
     
Nov 2021 Paper 2 Nov 2021 Paper 2 MS
     

June 2022

     
Jun 2022 Paper 1 Jun 2022 Paper 1 MS
     
Jun 2022 Paper 2 Jun 2022 Paper 2 MS
     

June 2023

     
Jun 2023 Paper 1 Jun 2023 Paper 1 MS
     
Jun 2023 Paper 2 Jun 2023 Paper 2 MS
     

June 2024

     
Jun 2024 Paper 1 Jun 2024 Paper 1 MS
     
Jun 2024 Paper 2 Jun 2024 Paper 2 MS
     

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