Levels 2, 3 and 5 are meant to simulate what you would learn from GCSE and A level textbooks. The contents are meant for you to read to get an idea of what you need to know, or to skim if you think you already know it just to fill in gaps and pitfalls, but you should study it more formally alongside this if you go through the documents and don't feel you have done it in school or basically know it. These are basically quick revision notes and not meant to be a full textbook to learn from. Proofs for some things in here are deferred to level 4. In many textbooks some of the proofs given in this level are provided but are oversimplified and not always fully correct (I point out common pitfalls as I go).
Table of Contents [Expand]
Page 1 - Compound and reverse percentages
Page 1 - Basic geometry
Page 3 - Introduction to sets
Page 3 - Solving basic simaltaneous equations and inequalities
Page 4 - Line graphs
Page 4 - Introduction to quadratics
Page 4 - Introduction to probability
Page 5 - Introduction to trigonometry and more geometry, also introduction to square roots and fractional powers
Page 8 - More standard graphs and introduction to functions and transformations of graphs
Page 12 - Things to be careful of
Page 13 - Introduction to sequences
Page 14 - Compound an inverse functions
Page 14 - More stuff involving powers
Page 15 - Lower and upper bound rounding problem example
Page 15 - More on quadratics; Solutions, inequalities, completing the square, graphs, quadratic formula
Page 18 - Example of a proof, summation notation, sum of arithmetic series, definition of factorials
Page 19 - More geometry
Page 26 - Recurring decimals and fractions, rational numbers