The book contains 150 geometric problems, the vast majority of which relate to planimetry. Among them there are a number of interesting problems for construction and proof; however, most of the question itself differs from those usually offered in secondary schools. Many tasks were offered in school mathematical circles at Moscow State University and at mathematical olympiads for schoolchildren. The book is aimed at high school students; tasks available to students in grades 7-8 are especially noted. Detailed solutions and instructions are given that can be used when solving yourself.