This Red Track volume is designed for fifth year secondary school pupils and is intended to lead the student towards grades A B C (D) in GCSE. The book is part of a five year NMP scheme in mathematics for secondary schools. The NMP series comprises a single textbook for all pupils in year one. In years two, three, four and five there are two Tracks, Red and Blue, with a single pupil's text for each track. The Red Track leads towards the higher GCSE grades A B C (D) and the Blue Track towards the lower grades (C) D E F G. The structure of the course aims to provide a system whereby appropriate material for the whole ability range is included in one book, and which at the same time makes allowance for pupils whose mathematical ability develops during the secondary school years. The books were written by teachers to satisfy the recommendations of the Cockcroft Report, the requirements of the GCSE National Criteria and examination syllabuses, and have undergone trials in schools. They combine content and process, an important recommendation of Cockcroft, and aim to promote guided active learning in order to develop pupils' skills, knowledge and understanding. This is done by the inclusion of varying sections, some of which encourage work with others, some sections have structured, more challenging tasks and yet others include activities, investigative work and project work. A teacher's handbook is available to accompany each level of each year and contains reduced versions of all the pupils' pages, with page-by-page teaching points.