In recent years computer science (CS) has become more and more important in everyday life. As we would like to introduce CS to students in as interesting way as possible, many initiatives were established around the world in order to prepare fun activities and courses, e.g. CS Unplugged, CS4fun, Computing at schools, and Shutdown or Restart.
In the presentation, we describe our experience with selected CS Unplugged activities with gifted students in one primary school as well as with students attending CS Unplugged summer school.
In the last four years Slovenian students can attend the international contest on informatics and computer fluency Beaver. In the competition students solve tasks dealing with concepts, skills and knowledge in different fields like informatics, algorithmic thinking, logics, and CS and society. As these tasks can be solved with no specific previous knowledge of CS, they are also used by teachers as study materials in classes. Some attributes of giftedness are reflected in students’ ability to learn and understand ideas quickly, display multiple strategies, approaching problem from different perspectives, engage other students in their activities, sustain their concentration and show great tendency in pursuing solutions, switch approaches easily and avoid nonproductive approaches, operate easily with symbols and spatial concepts, quickly recognize similarities, differences and patterns, look at problem more analytically than holistically and work systematically and accurately. Having these abilities is to students’ advantage when solving Beaver tasks, either in class or on the competition itself. 
Competitions have a positive impact on students’ motivation for learning, as students can learn autonomously and in a fun way. They can study while collaborating with peers and mentors. Competitions present a challenge and they offer deepening of knowledge in certain topics. Given the results of the competition, students gain acknowledgment for their achievements.  
Competitions are also important for teachers, as the gain insight into student’s knowledge in a broader perspective. In the paper we will analyze the results of the last year Beaver competition in Slovenia. We will focus on how the understanding of different CS concepts influences on the individuals overall results of the competition.