This study focuses on Bangladeshi university entrance test-taking students mental health problems and explores the geographical distribution of these problems using GIS technique. A cross-sectional survey was conducted among 1523 university entrance test-taking students. Data were collected on participants' socio-demographic characteristics, COVID-19-related factors, admission tests, depression, and anxiety. Chi-square tests and logistic regression were performed using SPSS software. GIS mapping was used to visualize the distribution of mental health problems across districts using ArcGIS. The study found that the prevalence rates of depression and anxiety among university entrance examinees were 53.8% and 33.2%, respectively. Males exhibited higher rates of depression and anxiety compared to females, while repeat test-taking students were more susceptible to these mental health issues compared to first-time test-takers. Factors such as urban residence, personal/familial COVID-19 infections, and COVID-19 deaths in close relationships were associated with increased mental health problems. District-based distribution showed no significant variation in depression, but anxiety varied significantly. Post-hoc GIS analysis revealed variations in the distribution of depression and anxiety among males, as well as variations in anxiety distribution based on student status across districts. This study emphasizes the high prevalence of depression and anxiety among university entrance examinees, emphasizing the importance of addressing mental health risks in this population. It also suggests the need for reforms in the university entrance test-taking system to reduce psychological problems and advocates for a more inclusive approach to student admissions to alleviate mental health burdens.