The proposed tutorial contains brief theoretical information on all sections of algebra, trigonometry, geometry and the principles of mathematical analysis. Methods for solving all typical problems are described. Each chapter of the publication contains tasks for independent solution, divided according to the increasing degree of complexity into groups A, B, C. The chapters conclude with control tests designed to test the absorption of the relevant material. The final chapter provides the final tests for the entire mathematics course. Designed for secondary school students and for teachers leading classes in colleges, lyceums, preparatory courses and other units of the pre-university training system.