Abstract
This article discusses non-standard logical problems encountered in the mathematical Olympiad and methods of their solution. Special attention is paid to familiarization with the ways of solving logical problems and the peculiarities of teaching this topic. Forming the skills of solving logical problems, we develop in the student the qualities of curiosity, perseverance, versatility. The main purpose of setting logical problems at the Mathematical Olympiad is the independent solution of problems and the development of students' curiosity. At the mathematical Olympiad, it is rather more difficult for schoolchildren to solve logical problems. Therefore, a professionally qualified teacher should be able to teach his students effective methods of solving problems.