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GCSE
Maths
OCR
Revision Notes
OCR GCSE Maths Revision Notes
Concise resources for the OCR GCSE Maths course.
1. Number Operations & Integers
Number Toolkit
Mathematical Operations
Negative Numbers
Number Operations
Related Calculations
Money Calculations
Counting Principles
Prime Factors, HCF & LCM
Types of Number
Prime Factor Decomposition
HCF & LCM
2. Fractions, Decimals & Percentages
Fractions
Basic Fractions
Operations with Fractions
Percentages
Basic Percentages
Working with Percentages
Working with FDP
Converting between FDP
Ordering FDP
3. Indices & Surds
Powers, Roots & Standard Form
Powers, Roots & Indices
Standard Form
Surds
Simplifying Surds
Rationalising Denominators
4. Approximation & Estimation
Rounding, Estimation & Bounds
Rounding & Estimation
Bounds
Using a Calculator
Using a Calculator
5. Ratio, Proportion & Rates of Change
Ratio Toolkit
Simple Ratio
Working with Proportion
Ratio Problem Solving
Ratios & FDP
Multiple Ratios
Direct & Inverse Proportion
Direct & Inverse Proportion
Exchange Rates & Best Buys
Exchange Rates & Best Buys
Simple & Compound Interest, Growth & Decay
Interest & Depreciation
Exponential Growth & Decay
6. Algebra
Algebra 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
Iteration
Iteration
Sign-Change Methods
Forming & Solving Equations
Forming Equations
Equations & Problem Solving
Functions
Functions Toolkit
Composite & Inverse Functions
Sequences
Introduction to Sequences
Types of Sequences
Linear Sequences
Quadratic Sequences
7. Graphs of Equations & Functions
Coordinate Geometry
Coordinates
Coordinate Geometry
Linear Graphs y = mx + c
Straight Line Graphs (y = mx + c)
Parallel & Perpendicular Lines
Graphing Inequalities
Graphing Inequalities
Graphs of Functions
Types of Graphs
Graphical Solutions
Trig Graphs
Equation of a Circle
Equation of a Circle
Equation of a Tangent
Estimating Gradients & Areas under Graphs
Finding Gradients of Tangents
Finding Areas under Graphs
Real-Life Graphs
Distance-Time & Speed-Time Graphs
Conversion Graphs
Rates of Change of Graphs
Transformations of Graphs
Translations of Graphs
Reflections of Graphs
8. Basic Geometry
Geometry Toolkit
Symmetry
2D & 3D Shapes
Plans & Elevations
Angles in Polygons & Parallel Lines
Basic Angle Properties
Angles in Polygons
Angles in Parallel Lines
Circle Theorems
Angles at Centre & Semicircles
Chords & Tangents
Cyclic Quadrilaterals
Segment Theorems
Circle Theorem Proofs
9. Congruence & Similarity
Congruence, Similarity & Geometrical Proof
Congruence
Similarity
Geometrical Proof
Area & Volume of Similar Shapes
Similar Areas & Volumes
Vectors
Introduction to Vectors
Working with Vectors
Transformations
Translations
Reflections
Rotations
Enlargements
Combination of Transformations
10. Mensuration
Standard & Compound Units
Time
Unit Conversions
Compound Measures
Bearings, Scale Drawing, Constructions & Loci
Bearings
Scale & Maps
Constructing Triangles
Constructions & Loci
Area & Perimeter
Area & Perimeter
Problem Solving with Areas
Circles, Arcs & Sectors
Area & Circumference of Circles
Arcs & Sectors
Volume & Surface Area
Volume
Surface Area
Right-Angled Triangles - Pythagoras & Trigonometry
Pythagoras Theorem
Right-Angled Trigonometry
Exact Trig Values
Sine, Cosine Rule & Area of Triangles
Sine & Cosine Rules
Area of a Triangle
Applications of Trigonometry
3D Pythagoras & Trigonometry
3D Pythagoras & Trigonometry
11. Probability
Probability Toolkit
Basic Probability
Relative & Expected Frequency
Simple Probability Diagrams
Two Way Tables
Frequency Trees
Set Notation & Venn Diagrams
Tree Diagrams
Tree Diagrams
Combined & Conditional Probability
Combined Probability
Conditional Probability
Combined Conditional Probabilities
12. Statistics
Statistics Toolkit
Mean, Median & Mode
Averages from Tables
Range & Quartiles
Comparing Distributions
Population & Sampling
Statistical Diagrams
Bar Charts & Pictograms
Pie Charts
Time Series Graphs
Working with Statistical Diagrams
Histograms
Histograms
Cumulative Frequency & Box Plots
Cumulative Frequency Diagrams
Box Plots
Scatter Graphs & Correlation
Scatter Graphs
Study tools
OCR GCSE Maths · Exam Questions
OCR GCSE Maths · Past Papers