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GCSE Maths ^{GCSE Maths Study Notes}

GCSE Maths Study Notes

Number (Higher)

Introduction to Index Rules

Negative and Fractional Indices

Indices and Changing of Bases

Finding the Unknown Base

Introduction to Surds

Surds and Rationalising Denominators

Percentages

Recurring Decimals To Fractions

Geometry and Measures (Higher)

Circle Theorems

Circle Theorem Proofs

Arcs, Sectors and Segments

The Cosine Rule

The Sine Rule

Areas of Non-Right-Angled Triangles

Exact Trigonometric Ratios

Pythagoras in 3D

Bearings and Trigonometry

Congruence

Vector Basics and Ratio

Parallel Vectors and Collinearity

Vectors and Unknown Ratios

Probability and Statistics (Higher)

Averages for Discrete Data

Averages for Continuous Data

Quartiles

Box Plots, Cumulative Frequency Graphs and Frequency Polygons

Histograms

Probability

Tree Diagrams

Set Notation and Venn Diagrams

Algebra (Higher)

Factorising Quadratics (OIOI Method)

Simplifying Algebraic Fractions

Solving Quadratics by Factorising

BIDMAS and Algebra

Solving with Algebraic Fractions

Completing the Square

The Quadratic Formula

Quadratic Inequalities

Quadratic Simultaneous Equations

Solving by Plotting Graphs

Functions

Transformation of Functions

Graphs of Functions

Sketching Quadratics

Straight Line Graphs

Perpendicular Lines

Tangents to Circles

Rates of Change and Graphs

Linear Sequences

Quadratic Sequences

Error Intervals

Algebra and Bounds

Fixed Point Iteration

Algebraic Proofs

Ratio and Proportion (Higher)

Proportion

Ratio