This book is a series of self-contained workshops in mathematics which aim to enthuse and inspire young people, their parents and teachers with the joy and excitement of modern mathematics. Written in an informal style, each chapter describes how novel mathematical ideas relate directly toreal life. The chapters contain both a description of the mathematics and its applications together with problem sheets, their solutions and ideas for further work, project and field trips. Topics include; mazes, folk dancing, sundials, magic, castles, codes, number systems, and slide rules. Thisbook should be accessible to young people from age thirteen upwards and yet contains material which should stretch the brightest students.