Your journey to excellence in
Further Mathematics
By Revision Genie
Fractions, Decimals, Percentages
Ratio and Proportion
Order of Operations
Product Rule for Counting
Manipulating Surds
Rationalising the Denominator
Basic Algebraic Processes
Functions and Notation
Domain and Range of Functions
Composite Functions
Inverse Functions
Expanding Brackets
Binomial Expansion
Factorising Expressions
Algebraic Fractions
Manipulating Formulae
Factor Theorem
Completing the Square
Sketching Functions
Solving Quadratic Equations
Simultaneous Equations
Linear Equations in Three Unknowns
Quadratic Inequalities
Index Laws
Algebraic Proof
Linear Sequences
Quadratic Sequences
Gradient of a Line
Parallel and Perpendicular Lines
Distance Between Two Points
Midpoint and Ratio
Equation of a Straight Line
Circle Equation: Centre at Origin
Circle Equation: General Form
Tangents to Circles
Gradient Function
Differentiation of Polynomials
Tangent and Normal Equations
Increasing and Decreasing Functions
Second Derivative
Maxima and Minima Points
Applications of Calculus
Sketching Curves Using Calculus
Perimeter and Area
Surface Area and Volume
Circle Theorems
Geometric Proofs
Sine and Cosine Rules
Pythagoras' Theorem
2D and 3D Trigonometry
Trigonometric Graphs
Special Triangles
Trigonometric Identities
Solving Trigonometric Equations