Further Maths

Level 2 Further Maths

Number

Product Rule for Counting     Video

Surds (addition/subtraction)   Video      Practice Questions    Answers

Surds (rationalising denominators)   Video    Practice Questions    Answers

Algebra

Function Notation     Video

Domains and Ranges     Video

Composite Functions     Video

Inverse Functions     Video

Expanding Brackets     Video  Practice Questions    Answers

Expanding 3 Brackets     Video    Practice Questions

Expanding Brackets (Pascal’s triangle)   Video    Practice Questions    Answers

Factorisation     Video    Practice Questions    Answers

Factorising Quadratics     Video     Practice Questions    Answers

Algebraic Fractions (add/subtract)    Video  Practice Questions     Answers

Algebraic Fractions (multiply)    Video    Practice Questions      Answers

Algebraic Fractions (divide)    Video     Practice Questions      Answers

Algebraic Fractions (equations)   Video    Practice Questions      Answers

Changing the Subject     Video    Practice Questions

Factor Theorem     Video      Practice Questions

Algebraic Long Division     Video      Practice Questions

Factorising Cubics     Video       Practice Questions

Solving Cubics using Factor Theorem     Video     Practice Questions

Completing the Square (x²)     Video    Practice Questions

Completing the Square (ax²)    Video    Practice Questions

Exponential Graphs     Video

Sketching Quadratics     Video

Drawing Functions     Video

Solving Linear Equations     Video

Solving Quadratics by Factorisation    Video

Solving Quadratics using Completing the Square     Video

Solving Quadratics using the Quadratic Formula     Video

Simultaneous Equations (both linear)     Video      Practice Questions     Answers

Simultaneous Equations (non-linear)   Video    Practice Questions

Simultaneous Equations (graphical)     Video

Simultaneous Equations (3 unknowns)   Video    Practice Questions

Linear Inequalities    Video

Quadratic Inequalities   Video

Laws of Indices    Video    Practice Questions    Answers

Fractional Indices    Video

Negative Indices   Video

Equations involving Indices    Video

Algebraic Proof     Video

nth Terms     Video

Limiting Values    Video

Linear Sequences    Video

Quadratic Sequences   Video 1     Video 2

Coordinates Geometry

Gradient    Video

Parallel Lines    Video

Perpendicular Lines    Video

Distance between two points   Video

Midpoint of a Lines    Video

Ratio (Lines)    Video

Equation of a Line    Video

Equation of a Circle (centre is the origin)    Video

Equation of a Circle (centre not the origin)   Video

Circle Theorems    Video

Equation of a Tangent to a Circle     Video

Calculus

Introduction     Video      Practice Questions    Answers

Differentiation      Video         Practice Questions      Answers

Differentiation after Rearranging     Video       Practice Questions    Answers

Gradient of a Curve    Video    Practice Questions      Answers

Equation of a Tangent     Video      Practice Questions    Answers

Equation of a Normal      Video    Practice Questions     Answers

Increasing/Decreasing Function    Video

d2y/dx2     Video      Practice Questions

Turning Points (maxima/minima)  Video    Practice Questions

Solving Problems      Video    Practice Questions

Sketch curve knowing maxima/minima     Video    Practice Questions

Matrices

Multiplying Matrices (by a scalar)   Video      Practice Questions    Answers

Multiplying Matrices (2×2 by 2×1)   Video     Practice Questions     Answers

Multiplying Matrices (2×2 by 2×2)   Video     Practice Questions     Answers

Identity Matrix     Video    Practice Questions      Answers

Transforming the Unit Square    Video     Practice Questions    Answers

Combinations of Transformations    Video     Practice Questions      Answers

Geometry

Geometric Proof     Video

Sine Rule (sides)     Video

Sine Rule (angles)     Video

Sine Rule (ambiguous case)    Video

Cosine Rule (sides)     Video

Cosine Rule (angles)   Video

Area of a Triangle    Video

3D Pythagoras    Video

3D Trigonometry 1     Video

3D Trigonometry 2

Exact Trig Values    Video

Trig Identities    Video      Practice Questions    Answers

Trig Graphs   Video

Finding other Trig ratios    Video     Practice Questions    Answer

Solving Trigonometric Equations 1     Video    Practice Questions    Answers

Solving Trigonometric Equations 2     Video    Practice Questions    Answers