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GCSE Maths Revision Notes
1. Number
Number Toolkit
Prime Factors, HCF & LCM
Powers, Roots & Standard Form
Fractions
Percentages
Simple & Compound Interest, Growth & Decay
Fractions, Decimals & Percentages
Rounding, Estimation & Bounds
Surds
Using a Calculator
2. Algebra
Algebra Toolkit
Algebraic Roots & Indices
Expanding Brackets
Factorising
Completing the Square
Rearranging Formulae
Algebraic Proof
Linear Equations
Solving Quadratic Equations
Simultaneous Equations
Iteration
Forming & Solving Equations
Functions
Coordinate Geometry
Linear Graphs y = mx + c
Graphs of Functions
Equation of a Circle
Estimating Gradients & Areas under Graphs
Real-Life Graphs
Solving Inequalities
Graphing Inequalities
Transformations of Graphs
Sequences
3. Ratio, Proportion & Rates of Change
Ratio Toolkit
Ratio Problem Solving
Direct & Inverse Proportion
Standard & Compound Units
Exchange Rates & Best Buys
4. Geometry & Measures
Geometry Toolkit
Angles in Polygons & Parallel Lines
Bearings, Scale Drawing, Constructions & Loci
Circle Theorems
Area & Perimeter
Circles, Arcs & Sectors
Volume & Surface Area
Congruence, Similarity & Geometrical Proof
Area & Volume of Similar Shapes
Right-Angled Triangles - Pythagoras & Trigonometry
Sine, Cosine Rule & Area of Triangles
3D Pythagoras & Trigonometry
Vectors
Transformations
5. Probability
Probability Toolkit
Simple Probability Diagrams
Tree Diagrams
Combined & Conditional Probability
6. Statistics
Statistics Toolkit
Statistical Diagrams
Histograms
Cumulative Frequency & Box Plots
Scatter Graphs & Correlation
