Which way did the Bicycle Go? And other Intriguing Mathematical Mysteries

Preface
Plane geometry
Number theory
Algebra
Combinatorics and graph theory
Three-dimensional geometry
Miscellaneous
Solutions

This book provides a collection of 191 mathematical problems aimed at the advanced high school student level and above. Problems cover general mathematical areas including plane geometry, three-dimensional geometry, number theory, algebra, combinatorics and graph theory, and a number of miscellaneous questions that combine mathematical disciplines. The book is divided into two major sections: the first section contains the problems themselves; the second section contains the solutions, historical and other notes, and auxiliary problems without solutions. Problems range from determining the direction of travel of a bicycle leaving tracks in the mud, to determining if two equal amounts of pizza are cut using eight 45-degree wedges meeting at a point other than the center, to determining if a manufacturer's claim that a certain unusual combination lock allows for thousands of combinations. Contains 175 references. (AIM)