Math Tutor for High School Students and Entrants

The book is based on the current mathematics program for general education schools, gymnasiums, and lyceums. It contains over 4600 problems, of which 1600 are provided with solutions, while the rest are intended for independent solving. Each chapter is accompanied by brief theoretical information and includes a sufficient number of examples with detailed solutions. The problems are carefully selected based on the principle of uniformity of topics, types, and methods of solving and are divided into two groups according to the level of difficulty. Chapter 13 presents non-standard problems for the Unified State Exam (EGE) with solutions and for independent solving, with a significant portion solved in various ways, which promotes students' creative activity and increases interest in studying mathematics. The presence of different ideas and methods for solving examples and problems allows for effective preparation for competitions of various levels. The tutor is intended for schoolchildren and graduates for independent preparation for taking the EGE and competitions, for successfully passing the exam when applying to prestigious universities in the country, as well as for students of preparatory departments, mathematics teachers, students of pedagogical universities, and tutors.