Objectives The purpose of this study is to analyze the understanding of the high school mathematics contents of freshmen majoring in science and engineering. Methods To do this, the degree of reaching achievement standards in high school mathematics, mathematics I, and mathematics II subjects was measured by freshmen majoring in science and engineering. In order to measure the degree of reaching the achievement standards of high school mathematics, an evaluation tool was developed based on the achievement standards and evaluation standards of the 2015 revised curriculum. A nonparametric test, Kruskal-Wallis, was used for analyzing the degree of reaching achievement standards according to the type of high school from which one came from and the mathematics subject, and the Mann-Whitney test was used as a posttest. Results The results of this study are as follows. First, the test results of 689 people for a total of 19 questions consisting of mathematics, mathematics I, and mathematics II averaged 8.53. Second, when analyzing the degree of reaching the achievement standard of the high school mathematics according to the type of high school from which they came from, freshmen who graduated from general high schools showed higher levels than freshmen who graduated from vocational high schools. Third, when analyzing the degree of reaching the achievement standard according to the subject, the degree of reaching the achievement standard of the mathematics subject was higher than that of the mathematics I. Fourth, when analyzing the degree of reaching the achievement standard according to the subject, the degree of reaching the achievement standard of the mathematics II subject was higher than that of the mathematics I. Conclusions Universities need to provide teaching and learning programs for freshmen majoring in the science and engineering so that they can understand the high school mathematics contents. In addition, as the curriculum changes, freshmen's understanding of the content of the subject may change, so it is necessary to establish a system to continuously check the main contents of the high school mathematics.