Number & Algebra
14 hours144 questionsNumber Toolkit
Standard Form, Laws of Indices
Exponentials & Logs
Introduction to Logarithms, Laws of Logarithms, Solving Exponential Equations
Sequences & Series
Language of Sequences & Series, Arithmetic Sequences & Series, Geometric Sequences & Series, Applications of Sequences & Series, Compound Interest & Depreciation
Proof & Reasoning
Proof
Binomial Theorem
Binomial Theorem
Functions
17 hours151 questionsLinear Functions & Graphs
Equations of a Straight Line
Quadratic Functions & Graphs
Quadratic Functions, Factorising & Completing the Square, Solving Quadratics, Quadratic Inequalities, Discriminants
Functions Toolkit
Language of Functions, Composite & Inverse Functions, Graphing Functions
Further Functions & Graphs
Reciprocal & Rational Functions, Exponential & Logarithmic Functions, Solving Equations, Modelling with Functions
Transformations of Graphs
Translations of Graphs, Reflections of Graphs, Stretches of Graphs, Composite Transformations of Graphs
Geometry & Trigonometry
20 hours162 questionsGeometry Toolkit
Coordinate Geometry, Radian Measure, Arcs & Sectors
Geometry of 3D Shapes
3D Coordinate Geometry, Volume & Surface Area
Trigonometry
Pythagoras & Right-Angled Trigonometry, Non Right-Angled Trigonometry, Applications of Trigonometry & Pythagoras
Further Trigonometry
The Unit Circle, Exact Values
Trigonometric Functions & Graphs
Graphs of Trigonometric Functions, Transformations of Trigonometric Functions, Modelling with Trigonometric Functions
Trigonometric Equations & Identities
Simple Identities, Double Angle Formulae, Relationship Between Trigonometric Ratios, Linear Trigonometric Equations, Quadratic Trigonometric Equations
Statistics & Probability
22 hours179 questionsStatistics Toolkit
Sampling & Data Collection, Statistical Measures, Frequency Tables, Linear Tranformations of Data, Outliers, Univariate Data, Interpreting Data
Correlation & Regression
Bivariate Data, Correlation & Regression
Probability
Probability & Types of Events, Conditional Probability, Sample Space Diagrams
Probability Distributions
Discrete Probability Distributions, Expected Values
Binomial Distributions
Normal Distributions
Calculus
23 hours169 questionsDifferentiation
Introduction to Differentiation, Applications of Differentiation
Further Differentiation
Differentiating Special Functions, Techniques of Differentiation, Second Order Derivatives, Further Applications of Differentiation, Concavity & Points of Inflection, Derivatives & Graphs
Integration
Introduction to Integration, Applications of Integration
Further Integration
Integrating Special Functions, Techniques of Integration, Definite Integrals, Further Applications of Integration
Optimisation
Modelling with Differentiation
Kinematics
Kinematics Toolkit, Calculus for Kinematics
Extended Questions
3 hours12 questions