Level 2 – GCSE level maths

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
• Page 27 - More algebraic problems (Algebraic fractions, Simaltaneous equations involving quadratics)
• Page 28 - Definition of a vector
• Page 28 - Slope of a perpendicular line

Open document for level 2