Mathematics. Olympiad Problems. Grades 5-7

The proposed manual covers the main methods and techniques for solving Olympiad problems of varying difficulty levels for students in grades 5-7. The manual contains 750 problems divided into 50 sets for each grade. Each set includes 5 problems on various topics. The problems presented in the book focus on such classical themes as divisibility and remainders, invariants, Diophantine equations, the Dirichlet principle, solving equations in integers, graphing functions, etc. Answers and hints are provided for all problems, and solutions are given for the most difficult ones. Most problems are original. In the concluding part of the book, there are engaging creative problems related to numbers and numerical patterns that generate increased interest not only among students but also among teachers. The manual is aimed at students in grades 5-7 preparing for Olympiads of various levels, mathematics teachers, university students in teacher training programs, and tutors.