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UK GCSE (9–1)
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Aligned to Edexcel (1MA1), AQA & OCR UK GCSE Maths across Foundation (Grades 1–5) and Higher (Grades 4–9).
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Number
Foundation Arithmetic
Negative Numbers
Decimals
Ordering Decimals
Money Problems
BIDMAS
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)
Algebra
Expressions & Formulae
Intro to Algebra
Function Machines
Linear Equations
Forming & Solving Equations
Brackets (Single)
Changing the Subject
Rearranging Harder Formulae (Higher)
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
Gradient of a Line
Equation of a Line
Perpendicular Lines (Higher)
Equation of a Circle (Higher)
Quadratic, Cubic & Reciprocal Graphs
Trig & Exponential Graphs (Higher)
Transforming Graphs (Higher)
Algebraic Proof
Algebraic Proof (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
Circle Theorems (Higher)
Area & Circumference
Sector Area & Arc Length
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
Constructions & Loci
Right-Angled Triangles
Pythagoras' Theorem
3D Pythagoras & Trig (Higher)
Trigonometry Exact Values
SOHCAHTOA
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)
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)
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
Scatter Graphs
Histograms (Higher)
Sampling
Stratified Sampling
Capture-Recapture (Higher)
Number
Foundation Arithmetic
Negative Numbers
Decimals
Ordering Decimals
Money Problems
BIDMAS
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
Scatter Graphs
Histograms (Higher)
Sampling
Stratified Sampling
Capture-Recapture (Higher)
Algebra
Expressions & Formulae
Intro to Algebra
Function Machines
Linear Equations
Forming & Solving Equations
Brackets (Single)
Changing the Subject
Rearranging Harder Formulae (Higher)
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
Gradient of a Line
Equation of a Line
Perpendicular Lines (Higher)
Equation of a Circle (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
Circle Theorems (Higher)
Area & Circumference
Sector Area & Arc Length
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
Constructions & Loci
Right-Angled Triangles
Pythagoras' Theorem
3D Pythagoras & Trig (Higher)
Trigonometry Exact Values
SOHCAHTOA
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)