This book is a new collection of mathematical puzzles, a collection of interesting and challenging problems from diverse sources and mathematical disciplines. The puzzles in the book are difficult but they are elegant, entertaining and they do not require advanced mathematics to be appreciated or solved. Most of them are supposed to confound the intuition and stimulate the brain and mathematical thinking. The puzzles are divided into chapters for convenience and they are classified loosely by mathematical topics. Formulation of the puzzles and problems is followed by their solutions, together with information on their background presented at the end of each chapter. This structure offers a good opportunity for the reader to think at least a little about each puzzle. The book can be recommended to students, teachers and authors of problems, as well as to lovers of mathematics, puzzles and challenges.