The present paper is a proposition of activities to students that have just lost their enthusiasm for mathematics throughout their school life. There are many factors that have made these students not to interact with the subject since automatic approval, that leads pripils to upper grades without proper knowledge, until a negative sequence of experiences in evaluations that puts him/her ever fritter away from mathematics. The ideia is "seducing" our apprentice with challenging problems that can be solved even with a little mathematical enlightenment and as he/she engages in the topic, he may realize that interacting with numbers is possible and that one way or another everyone has math knowledge. We will present concepts of paridade and the principle of houses of pigeon house with a wide range of interesting problems that allows is a good work with students. We will also cope with Brazilian Olympiad of Mathematics of the Public Schools (OBMEP) problems due to the variety of questions it provides.