Further Maths

Level 2 Further Maths

Number

Product Rule for Counting     Video

Surds (addition/subtraction)   Video

Surds (rationalising denominators)   Video

Algebra

Function Notation     Video

Domains and Ranges     Video

Composite Functions     Video

Inverse Functions     Video

Expanding Brackets     Video    Practice Questions

Expanding 3 Brackets     Video    Practice Questions

Expanding Brackets (Pascal’s triangle)   Video    Practice Questions

Factorisation     Video    Practice Questions

Factorising Quadratics     Video     Practice Questions

Algebraic Fractions (add/subtract)    Video    Practice Questions

Algebraic Fractions (multiply)    Video    Practice Questions

Algebraic Fractions (divide)    Video    Practice Questions

Algebraic Fractions (equations)   Video  Practice Questions

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

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

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

Differentiation      Video         Practice Questions

Differentiation after Rearranging     Video       Practice Questions

Gradient of a Curve    Video    Practice Questions

Equation of a Tangent     Video      Practice Questions

Equation of a Normal      Video

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

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

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

Identity Matrix     Video    Practice Questions

Transforming the Unit Square    Video     Practice Questions

Combinations of Transformations    Video     Practice Questions

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

Trig Graphs   Video

Finding other Trig ratios    Video     Practice Questions

Solving Trigonometric Equations 1     Video    Practice Questions

Solving Trigonometric Equations 2     Video    Practice Questions