6th ed. The collection is compiled in accordance with the mathematics program for applicants to universities. It has two parts: "Arithmetic, algebra, geometry" (part I); "Algebra, geometry (additional problems). Start of analysis. Coordinates and vectors" (part II). All tasks of part I are divided into three groups according to the level of complexity. Each chapter provides reference information and examples of problem solving. All tasks are answered. The manual is addressed to high school students, applicants and math teachers.