Since 2014, there have been admission tests in mathematics for applicants to the Estonian University of Life Sciences for Geodesy, Land Management and Real Estate Planning; Civil Engineering; Hydraulic Engineering and Water Pollution Control; Engineering and Technetronics curricula. According to admission criteria, the test must be taken by students who have not passed the specific mathematics course state exam or when the score was less than 20 points. The admission test may also be taken by those who wish to improve their state exam score. In 2016, there were 126 such applicants of whom 63 took the test. In 2015, the numbers were 129 and 89 and in 2014 150 and 47 accordingly. The test was scored on scale of 100. The arithmetic average of the score was 30.6 points in 2016, 29.03 in 2015 and 18.84 in 2014. The test was considered to be passed with 1 point in 2014 and 20 points in 2015 and 2016. We analyzed test results and gave examples of problems which were solved exceptionally well or not at all.

In this article, common test results over the years 2000 – 2016 are analysed. The test questions for new entrants were based on secondary school mathematics. The students took the test in the first lesson of the higher mathematics course. The test results were analysed by years, by tasks and by specialities, and their differences were found. The test results’ dependence on state-exams score was studied and other types of dependence were looked at. It was found that the test score has a strong correlation with a state-exam but with high school mathematics mark and with later higher mathematics course marks has very weak correlation. During these 16 years, the questions that have been the most difficult for students have not changed. The highest test scores were found among students who had chosen the most popular specialities (with the highest competition).

The contemporary scientific and technical community claims that the new development paradigm will be based on the priority of the universal laws of nature, the principles of ecological economics and the widespread use of digital transformation. The analysis of the sustainable development strategy Latvia 2030 and the presented changes in the value of indicators showed that, it is quite difficult to put together a common unified picture of Latvia’s movement towards sustainable development. The main goal of the article is to present a new approach to the assessment of sustainable development and to monitoring system, using a system’s power changes analysis method. In the context of a Latvian sustainable development strategy, the authors presented the results of the formalisation of new approach to the sustainable development monitoring, using an invariant coordinate system in units of power (energy flow) in compare with calculated data in monetary terms. Calculations and the initial interpretation of the results of Latvia as well as of the five EU countries from the Baltic Sea region – Denmark, Sweden, Finland, Estonia and Lithuania – were carried out for the period 1990–2019. The presented indicators of sustainable development show that achieving the strategic goals of Latvia 2030 would be very difficult without any serious internal and external incentives. The results can provide a basis for creation of the development strategy both the country as a whole and each region separately.