Maths Solutions is a new learning concept based on hundreds of completely worked solutions to problems in Mathematics with step by step explanations at every stage to ensure complete understanding. A revision module is included with each new topic so there is no need to refer to other material for explanation of techniques. These solutions are intended for Mathematics A level standard students from GCSE onwards and will serve as a useful reference guide for those studying Mathematics, Physics, Engineering or other subjects with a high maths content at higher levels in the future. Also included is access to valuable online Maths sites for additional information and Maths solving software. With a conventional text book, after the teaching aspect there are usually two or three worked examples included and then an exercise with twenty or thirty questions. Normally you will be able to solve some of these but there will be others which you may have no idea how to solve leading to frustration and disappointment. With fully worked solutions this will no longer be the case as you will be able to see exactly how to solve everything and because of the wide ranging examples provided you should be able to solve any question that you are likely to come across in each topic in the future. A clear and user friendly presentation makes for easy and clear reading with questions written in red text, the body in black text and notes in blue text to explain every step of the argument for every question. Contents Manipulating expressions Factorising expressions Pascal's triangle The Factor Theorem Simplification of products and quotients Long division of algebraic expressions Remainders Logarithms Indices Quadratic equations Factorising Completing the square Using the quadratic formula Linear and quadratic inequalities Trigonometric equations Trigonometric Identities General differentiation Differentiation of products Differentiation of quotients