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The manual is intended for the preparation and passing of the state final examination in mathematics in general secondary education institutions. The guide presents in a concise form the basic facts covered in mathematics courses for grades 5-6, as well as algebra and geometry for grades 7-9. In addition, the textbook contains a significant number of analysed examples that illustrate the basic methods of solving problems. The extensive didactic material included in the textbook will enable students to carry out such important forms of preparation as training and self-control.