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GCSE Study Notes—Higher

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Number

Algebra

Shape and Space

Statistics

Non-Calculator Arithmetic

Algebraic Manipulation

Solving Angle Problems

Surveys and Sampling

Directed Numbers

Simple Equations (Linear)

Triangles, Quadrilaterals & Polygons

Representing Data

Laws of Indices

Formulae

Measuring Shapes

Averages—Mode, Median, Mean

Approximation

Functions

Pythagoras’ Theorem

Scatter Diagrams

Fractions and Decimals

Simultaneous Equations

Right-Angled and Isosceles Triangles

Histograms and Cumulative Frequency

Percentages

Inequalities

General Triangles - Sine and Cosine Rules

Time Series

Ratio and Proportion

Quadratic Equations

Trigonometric Ratios

Probability

Direct and Inverse Proportion

Introduction to Algebraic Proof

Three-dimensional Geometry

Set Theory and Venn Diagrams

Factors, Prime Numbers, H.C.F. L.C.M.

Numerical Methods

Areas, Volumes and Similarity

 

Surds - Irrational Numbers

Sequences

Circle Theorems

IGCSE and Further Extras

Standard Index Form

Straight Line Graphs

Solid Shapes

 

 

Real Life Graphs

Transformations

Matrices

 

Plotting Graphs of Functions

Vectors

Differentiation

 

Recognising Graphs

Circular Measure (Sectors, Segments)

 

 

Transforming Graphs

Loci

 

 

 

Measures and Constructions