The article examines the role and place of oral exercises in geometry as an element of the formation of mathematical competencies of education seekers. The features of the use of oral exercises in teaching the educational component "Analytical Geometry" by applicants for higher mathematical education at the university and geometry in general secondary education institutions are considered. The results of the tasks of the certification work of the NMT 2024 in mathematics, in particular geometry, submitted by the Ukrainian Assessment Center, which indicate that the statistical indicators of NMT tasks have deteriorated compared to the corresponding indicators of the tasks of the external assessment and NMT of previous years, are analyzed. The article notes that the systematic use of oral exercises in the study of analytical geometry by applicants for higher education and geometry by students of general secondary education institutions is one of the effective methods for solving this problem. It has been noted that a well-chosen system of oral exercises contributes to the development of logical thinking of students, increases their mathematical culture, increases creative activity, teaches attentiveness, and forms the ability to plan one’s activities.