Introduction. The scale of cognition and absorption in the studied information determines the level of mathematical education. The paper explores the appropriateness of the analytical method for solving textual and geometric problems.

Materials and methods. The analytical method of solving problems is based to a large extent on the logic of thinking. The mentioned method for solving textual and geometric problems is under investigation as one of the main methods inextricably linked to the synthetic method. Often, the solution of many problems can be found by combining these methods into an analytic-synthetic method.

Results. The tasks corresponding to the basic and profile levels of the unified state examination (USE) are considered. The choice of the method of solving both textual and geometric geometric problem is a process of creative cognition.

Discussion. The main point in choosing the method for solving the problem analytically is the stating of the problem.

Conclusion. Advantages of the considered method include the improvement of the students’ logical thinking, honing the skills for independent determination of the way to find the solution to the initial question. Analytical method is applied to finding solutions for various tasks, not only in Mathematics, but also in Physics, Chemistry, Geography, and IT.

• The paper proves the appropriateness of using the analytical method for solving textual and geometric problems.
• The authors provide examples of tasks included in the USE database with solutions based on the analytical method.
• The paper determines the advantages and disadvantages of using the analytical method for solution of the problems in Mathematics.

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