Further Maths

Level 2 Further Maths


Product Rule for Counting     Video

Surds (addition/subtraction)   Video

Surds (rationalising denominators)   Video


Function Notation     Video

Domains and Ranges     Video

Composite Functions     Video

Inverse Functions     Video

Expanding Brackets     Video    Practice Questions

Expanding 3 Brackets     Video

Expanding Brackets to the power of n     Video

Factorisation     Video

Factorising Quadratics     Video

Algebraic Fractions (add/subtract)    Video

Algebraic Fractions (multiply)    Video

Algebraic Fractions (divide)    Video

Changing the Subject     Video    Practice Questions

Factor Theorem     Video

Algebraic Long Division     Video

Factorising Cubics     Video

Solving Cubics using Factor Theorem     Video

Completing the Square (x²)     Video

Completing the Square (ax²)    Video

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

Simultaneous Equations (linear and non-linear)   Video

Simultaneous Equations (graphical)     Video

Simultaneous Equations (3 unknowns)   Video

Linear Inequalities    Video

Quadratic Inequalities   Video

Laws of Indices    Video

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


Introduction     Video

Differentiation      Video

Differentiation after Rearranging     Video

Gradient of a Tangent    Video

Equation of a Tangent     Video

Equation of a Normal      Video

Increasing/Decreasing Function    Video

d2y/dx2    Video

Turning Points (maxima/minima)   Video

Solving Problems    Video

Sketch curve knowing maxima/minima    Video


Multiplying Matrices (by a scalar)   Video

Multiplying Matrices (2×2 by 2×1)   Video

Multiplying Matrices (2×2 by 2×2)   Video

Identity Matrix     Video

Transforming the Unit Square    Video

Combinations of Transformations    Video


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

Solving Trigonometric Equations 1     Video

Solving Trigonometric Equations 2     Video