This booklet provides a comprehensive treatment of mathematical modelling. It begins with thorough explanation and practice of basic algebraic techniques, such as solving equations, factorizing and changing the subject of a formula. It then covers linear, quadratic, exponential and trigonometric models. Numerous real-life examples are used to illustrate the techniques with an emphasis on the interpretation of mathematical results. Also covered are the concepts of reduction to linear form using logarithms and inverse functions. There are extensive exercises provided to enable students to practise the techniques learned. 16 Homework tasks are included at the end of the booklet. You will receive the original Word document as well as the pdf so you can edit it as you wish.