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Master UK GCSE (9–1) Mathematics
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Expanding & Factorising Quadratics
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Expanding Triple Brackets (Higher)
Factorising Harder Quadratics (Higher)
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Trig & Exponential Graphs (Higher)
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Linear Direct Proportion
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Circle Theorems & Proofs (Higher)
Transformations & Vectors
Translations, Reflections & Rotations
Enlargements
Negative Enlargements & Invariant Points (Higher)
Vectors
Vector Proofs (Higher)
2D Shapes
Area and Perimeter
Area of Compound Shapes
Congruent Triangles
Similar Shapes & Triangles
Constructions & Loci
Right-Angled Triangles
Pythagoras' Theorem
SOHCAHTOA
Trigonometry Exact Values
3D Pythagoras & Trig (Higher)
Non-Right-Angled Triangles
The Sine Rule (Higher)
The Cosine Rule (Higher)
Area of Any Triangle (Higher)
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3D Solids, Plans & Elevations
Volume of Prisms
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Surface Area
Spheres and Cones
Similar Shapes: Area, Volume & Frustums (Higher)
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Venn Diagrams
Combinations
Systematic Listing
Product Rule for Counting (Higher)
Expected Outcomes
Relative Frequency
Frequency Trees & Tables
Frequency Trees
Two-Way Tables
Independent Events
Probability Trees
Dependent Events
Conditional Probability (Higher)
Algebraic Probability
Probability Equations (Higher)
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Averages from Tables
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Box Plots (Higher)
Data Representation
Bar Charts
Pictograms
Pie Charts
Stem and Leaf Diagrams
Frequency Polygons
Time-Series Graphs
Scatter Graphs
Histograms (Higher)
Sampling
Types of Data & Sampling
Stratified Sampling (Higher)
Capture-Recapture (Higher)
Number
Foundation Arithmetic
Place Value & Related Calculations
Whole Number Operations (+, −, ×, ÷)
Negative Numbers
Decimals
Ordering Decimals
Money Problems
BIDMAS
Using a Calculator
Fractions & Decimals
Reciprocals
Fractions (Simplify, <, =, >)
Fractions (+/-)
Fractions (x/÷)
Fractions of an Amount
FDP Conversions
Recurring Decimals (Higher)
Percentages
Percentages of an Amount
Percentage Change
Percentage Multipliers
Reverse Percentages
Simple Interest
Compound Interest
Factors, Multiples & Primes
Factors & Multiples
Prime Factor Trees
HCF & LCM
Indices & Standard Form
Powers & Roots
Laws of Indices
Indices with Numbers & Letters
Negative & Fractional Indices (Higher)
Standard Form (Converting)
Standard Form (Calculating)
Surds (Higher)
Simplifying Surds (Higher)
Expanding with Surds (Higher)
Rationalising the Denominator (Higher)
Approximation & Bounds
Rounding
Estimation
Limits of Accuracy
Calculating with Bounds (Higher)
Statistics
Averages & Spread
Averages
Averages from Tables
Cumulative Frequency (Higher)
Box Plots (Higher)
Data Representation
Bar Charts
Pictograms
Pie Charts
Stem and Leaf Diagrams
Frequency Polygons
Time-Series Graphs
Scatter Graphs
Histograms (Higher)
Sampling
Types of Data & Sampling
Stratified Sampling (Higher)
Capture-Recapture (Higher)
Algebra
Expressions & Formulae
Algebra Basics & Substitution
Function Machines
Linear Equations
Forming & Solving Equations
Brackets (Single)
Changing the Subject
Rearranging Harder Formulae (Higher)
Composite & Inverse Functions (Higher)
Algebraic Fractions (Higher)
Equations & Sequences
Linear Simultaneous Equations
Solving Equations Graphically
Linear Inequalities
Graphical Inequalities (Higher)
Quadratic Inequalities (Higher)
Linear & Special Sequences
Quadratic Sequences (Higher)
Quadratic Simultaneous Equations (Higher)
Iteration (Higher)
Quadratics
Expanding & Factorising Quadratics
Solving Quadratics by Factorising
Expanding Triple Brackets (Higher)
Factorising Harder Quadratics (Higher)
The Quadratic Formula (Higher)
Completing the Square (Higher)
Coordinate Geometry
Coordinates & Midpoints
Drawing Linear Graphs
Gradient of a Line
Equation of a Line
Perpendicular Lines (Higher)
Equation of a Circle & Tangents (Higher)
Quadratic, Cubic & Reciprocal Graphs
Trig & Exponential Graphs (Higher)
Transforming Graphs (Higher)
Algebraic Proof
Algebraic Proof (Higher)
Probability
Basic Probability
Probability Scale & Basics
Set Theory
Venn Diagrams
Combinations
Systematic Listing
Product Rule for Counting (Higher)
Expected Outcomes
Relative Frequency
Frequency Trees & Tables
Frequency Trees
Two-Way Tables
Independent Events
Probability Trees
Dependent Events
Conditional Probability (Higher)
Algebraic Probability
Probability Equations (Higher)
Ratio, Proportion and Rates of Change
Ratio
Simplifying Ratios
Sharing in a Ratio
Ratio Contexts
Ratios & Fractions
Combining Ratios
Proportion
Linear Direct Proportion
Recipes
Exchange Rates
Best Buys
Direct & Inverse Prop
Algebraic Proportion (Higher)
Compound Measures
Speed, Distance, Time
Density, Mass, Volume
Pressure, Force, Area
Scale & Conversion
Time & Timetables
Scale Drawings & Maps
Unit Conversions
Rates of Change
Real Life Graphs
Kinematics (Higher)
Velocity-Time Graphs (Higher)
Gradients & Rates of Change (Higher)
Geometry and Measures
Angles & Bearings
Angles in Lines, Triangles & Quadrilaterals
Angles in Parallel Lines
Angles in Polygons
Bearings
Circles
Parts of a Circle
Area & Circumference
Sector Area & Arc Length
Area of a Segment (Higher)
Circle Theorems & Proofs (Higher)
Transformations & Vectors
Translations, Reflections & Rotations
Enlargements
Negative Enlargements & Invariant Points (Higher)
Vectors
Vector Proofs (Higher)
2D Shapes
Area and Perimeter
Area of Compound Shapes
Congruent Triangles
Similar Shapes & Triangles
Constructions & Loci
Right-Angled Triangles
Pythagoras' Theorem
SOHCAHTOA
Trigonometry Exact Values
3D Pythagoras & Trig (Higher)
Non-Right-Angled Triangles
The Sine Rule (Higher)
The Cosine Rule (Higher)
Area of Any Triangle (Higher)
3D Shapes
3D Solids, Plans & Elevations
Volume of Prisms
Cylinders
Surface Area
Spheres and Cones
Similar Shapes: Area, Volume & Frustums (Higher)