The concept of mathematical competence and its components are considered. The article shows the geography of students in the High School of International Educational Programs of Peter the Great St. Petersburg Polytechnic University. The data on the number of foreign students and their growth rate enrolled at the preparatory faculty at the HS IEP in the last few years are presented. The growth of the number of students from China entering the HS IEP over the past 5 years is considered. The training programs for pre-university training at the High School of International Education Programs of Peter the Great St. Petersburg Polytechnic University are presented. The programs are compiled in accordance with the requirements of the state standards of the Russian high school and the first course of the university. The features of training in pre-university training of the HS IEP on Mathematics are considered. The initial level of mathematical preparation of Chinese students on mathematics is analyzed. The fragments of testing for each of the components of mathematical competence are shown. The results of testing aimed at assessing the level of development for each of the components of mathematical competence are presented. The tests were passed to Chinese trainees at the beginning and at the end of training. A comparison of the results of the development of mathematical competence in Chinese students over the past two academic years are shown. The growth of the mathematical component for each academic year is shown. The dynamics of the development of mathematical competence of Chinese students with different levels of training in the process of study at the High School of International Educational Programs are studied. The factors affecting the development of each of the components of mathematical competence are analyzed.