Physics and Mathematics Olympiads are an important means of promoting knowledge among students and play a large role in improving the level of mathematics and physics teaching in secondary school. The authors of the collection in an interesting and popular form acquaint readers with the materials of physical and mathematical olympiads, tell about the history and methods of holding all-Union olympiads. The book is of undoubted interest for the organizers and participants of various physical and mathematical Olympiads ,. High and High School Teachers , High School Students , Managers of Physical and Mathematical Circles , Students , All of them , who likes to solve problems and wants to try their hand at it .