This book has been written to cover the ‘ ’ and thecourses over a one-year period.These syllabuses enable learners to extend the mathematics skills, knowledge, and understanding developedin the Cambridge IGCSE or O Level Mathematics courses, and use skills in the context of more advancedtechniques.The syllabuses have a Pure Mathematics only content which enables learners to acquire a suitable foundationin mathematics for further study in the subject. Knowledge of the content of the Cambridge IGCSE or OLevel Mathematics syllabus (or an equivalent syllabus) is assumed.Learners who successfully complete these courses gain lifelong skills, further development of mathematical concepts and principlesan ability to solve problems, present solutions logically, and interpret results