The purpose of this study were to determine the mapping of core competencies of National Examination in several subjects at senior high school (SMA/MA) in South Central Timor (TTS) and to understand causes and find solutions for the local government South East Timor (NTT) in managing their education system. This study was also expected to boost the ranking of high school graduation (SMA/MA) in NTT. The numbers of sample that conduct in this research were 22 schools, taken by using stratified random sampling technique by considering the characteristics of the proportion of the population in the area of study. The approach used is a descriptive research that trying to find data in each competency tested in 2009 and 2010 and analyzed by using the mapping of the standard competencies. The procedures of research are the study documentation, implementation of teacher ability test, questionnaire, Focused Group Discussion (FGD) and observation. The results showed: there are two factors that cause low achievement in basic competency examination subjects: Firstly, static factors, the problem is not the existence of (a) the science laboratory, (b) the school library, (c) the field laboratory, (d) English language laboratories, small amount school operational funds, the low participation of school committees. Secondly, dynamic factors, that consist of ; the low cognitive teachers because teachers are not teaching subjects in related to their home-based academic, lack of innovation in learning and lack of practice hours for students Therefore, the planned a model of problem solving are; (1) increasing teachers community programs (MGMPs) through the coaching program to supports the students in achieving passing grade standard, (2) improving the monitoring of learning in the classroom, (3) assisting teachers in classroom learning process by improving qualification of the teachers. This study should be continued in the form of community service that can involve all stakeholders i.e.; school principals, teachers, school committees and community.