1. Numbers & the Number System
33 hours616 questionsNumber Toolkit
Mathematical Operations, Negative Numbers, Money Calculations, Number Operations, Related Calculations
Set Notation & Venn Diagrams
Set Notation & Venn Diagrams
Prime Factors, HCF & LCM
Types of Number, Prime Factor Decomposition, HCF & LCM
Powers, Roots & Standard Form
Powers, Roots & Indices, Standard Form
Fractions
Basic Fractions, Operations with Fractions
Percentages
Basic Percentages, Working with Percentages
Compound Interest & Depreciation
Interest & Depreciation
Fractions, Decimals & Percentages
Converting between FDP, Ordering FDP
Rounding, Estimation & Bounds
Rounding & Estimation, Upper & Lower Bounds
Surds
Simplifying Surds, Rationalising Denominators
Using a Calculator
Using a Calculator
Ratio Toolkit
Simple Ratio, Working with Proportion
Ratio Problem Solving
Ratios & FDP, Multiple Ratios
Exchange Rates & Best Buys
Exchange Rates & Best Buys
Direct & Inverse Proportion
Direct & Inverse Proportion
2. Equations, Formulae & Identities
29 hours553 questionsAlgebra Toolkit
Algebraic Notation & Vocabulary, Algebra Basics
Algebraic Roots & Indices
Algebraic Roots & Indices
Expanding Brackets
Expanding Single Brackets, Expanding Multiple Brackets
Factorising
Factorising, Factorising Quadratics, Quadratics Factorising Methods
Completing the Square
Completing the Square
Algebraic Fractions
Algebraic Fractions, Solving Algebraic Fractions
Rearranging Formulae
Rearranging Formulae
Algebraic Proof
Algebraic Proof
Linear Equations
Solving Linear Equations
Solving Quadratic Equations
Solving Quadratic Equations, Quadratic Equation Methods
Solving Inequalities
Solving Linear Inequalities, Solving Quadratic Inequalities
Simultaneous Equations
Simultaneous Equations
Forming & Solving Equations
Forming & Solving Equations, Equations & Problem Solving
3. Sequences, Functions & Graphs
26 hours391 questionsSequences
Introduction to Sequences, Arithmetic Sequences & Series
Functions
Functions Toolkit, Composite & Inverse Functions
Coordinate Geometry
Coordinates, Coordinate Geometry
Linear Graphs y = mx + c
Straight Line Graphs y = mx + c, Parallel & Perpendicular Lines
Graphs of Functions
Types of Graphs, Graphical Solutions, Trig Graphs
Estimating Gradients
Finding Gradients of Tangents
Real-Life Graphs
Distance-Time & Speed-Time Graphs, Conversion Graphs, Rates of Change of Graphs
Graphing Inequalities
Graphing Inequalities
Transformations of Graphs
Translations of Graphs, Reflections of Graphs, Stretches of Graphs
Differentiation
Differentiation, Applications of Differentiation, Problem Solving with Differentiation, Kinematics
Geometry & Trigonometry
37 hours569 questionsStandard & Compound Units
Time, Unit Conversions, Compound Measures
Angles in Polygons & Parallel Lines
Basic Angle Properties, Angles in Polygons, Angles in Parallel Lines, Properties of 2D Shapes
Bearings, Scale Drawing & Constructions
Bearings, Scale & Maps, Constructing Triangles, Constructions
Circle Theorems
Angles at Centre & Semicircles, Chords & Tangents, Cyclic Quadrilaterals, Segment Theorems, Intersecting Chord Theorem
Area & Perimeter
Area & Perimeter, Problem Solving with Areas
Circles, Arcs & Sectors
Area & Circumference of Circles, Arcs & Sectors
Volume & Surface Area
Properties of 3D Shapes, Volume, Surface Area
Congruence, Similarity & Geometrical Proof
Congruence, Similarity, Symmetry, Geometrical Proof
Area & Volume of Similar Shapes
Similar Areas & Volumes
Right-Angled Triangles - Pythagoras & Trigonometry
Pythagoras Theorem, Right-Angled Trigonometry
Sine, Cosine Rule & Area of Triangles
Sine & Cosine Rules, Area of a Triangle, Applications of Trigonometry
3D Pythagoras & Trigonometry
3D Pythagoras & Trigonometry
Vectors & Transformation Geometry
5 hours85 questionsStatistics & Probability
20 hours294 questionsStatistics Toolkit
Mean, Median & Mode, Averages from Tables, Range & Quartiles, Comparing Distributions, Bar Charts & Pictograms, Two Way Tables, Pie Charts, Working with Statistical Diagrams
Histograms
Histograms
Cumulative Frequency Diagrams
Cumulative Frequency Diagrams
Probability Toolkit
Basic Probability, Relative & Expected Frequency, Listing Outcomes
Probability Diagrams - Venn & Tree Diagrams
Probability & Venn Diagrams, Tree Diagrams
Combined & Conditional Probability
Combined Probability, Conditional Probability, Combined Conditional Probabilities