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GCSE Study Notes—Higher

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Number

Algebra

Shape and Space

Statistics

Directed Numbers

Algebraic Manipulation

Solving Angle Problems

Surveys and Sampling

Laws of Indices

Simple Equations (Linear)

Triangles, Quadrilaterals & Polygons

Representing Data

Approximation

Formulae

Measuring Shapes

Averages—Mode, Median, Mean

Fractions and Decimals

Functions

Pythagoras’ Theorem

Scatter Diagrams

Percentages

Simultaneous Equations

Right-Angled and Isosceles Triangles

Histograms and Cumulative Frequency

Ratio and Proportion

Inequalities

General Triangles - Sine and Cosine Rules

Time Series

Direct and Inverse Proportion

Quadratic Equations

Trigonometric Ratios

Probability

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

Introduction to Algebraic Proof

Three-dimensional Geometry

Set Theory and Venn Diagrams

Surds - Irrational Numbers

Numerical Methods

Areas, Volumes and Similarity

 

Standard Index Form

Sequences

Circle Theorems

IGCSE and Further Extras

 

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