Problematic examples at the entrance exams of mathematics at the University of Defence

The authors of the contribution have participated for many years on the preparation, organization, assessment and final arrangement of the entrance exams to all specializations of bachelor's and master's studies at the Faculty of Military Technologies of the University of Defence in Brno, for daily as well as for combined form of the study. The aim of this contribution is to focus on such parts of mathematics that cause serious problems to the majority of students when passing university entrance test. The authors want not only to find the trouble making of mathematics but as well the cause of it and the possible way how to reduce such difficulties.