Publisher's Synopsis
The book contains 250 challenging problems for high school students. The majority of the problems are unconventional according to the standards of most high school math programs. The book includes a variety of topics: Clock Arithmetic, Numbers, Sequences, Polynomials, Equations, Inequalities, System of Equations, Geometry, Trigonometry, Functions, and various other problems. The introduction to each topic provides basic high school knowledge in Math necessary to solve the problems. The problems chosen for this book have different degrees of difficulty. Some problems are pretty simple and others can be offered at math competitions, but all of them require hard thinking. The second part of the book contains the answers, hints, or detailed solution of each problem. This book is written for all audiences: students, their parents and teachers, young and old, for those who already love Math and for those who have yet to discover it. The ability to think creatively and independently can be developed through the practice of solving non-standard problems. The tenacity to solve a challenging problem, spending hours, even days thinking about it can be indicative of a gift in mathematics. Very often, one's experience in such activity leads to the desire of repeating the feeling of success and attraction to mathematics. This attraction will undoubtedly play a positive role in everyone's professional and social life.
