The paper presents the concept map based intelligent knowledge assessment system developed by the Department of Systems Theory and Design of the Faculty of Computer Science and Information Technology of Riga Technical University. The main attention is devoted to the implementation of various kinds of feedback intended for promotion of effective learning and informing of a teacher about students’ progress. The feedback is considered from three points of view: feedback generated automatically by the system and given to a student and to a teacher, and feedback provided by a student using questionnaires embedded into the system. All feedback types are discussed in detail and demonstrated using screenshots. Related works are presented as well. The calculation of the concepts’ mastering degree and composition of the text summary informing a student about the best and the poorly known concepts within a task is described. The constituent parts of the questionnaire system (the questionnaire designer, the questionnaire filler and the questionnaire reporting system) are specified and all kinds of questions available in the questionnaire designer are demonstrated. The overall functionality of the system is presented paying attention to the goal of the system, scenario of the use and range of provided tasks