Our sessions are free and open to any student who enjoys math and the aim of this Math Circle is to provide a friendly and relaxed environment in which students can meet and discuss problems and topics normally outside the school curriculum.

Depending on the interest of the students, the topics of the sessions can be adapted toward preparation for Mathematical Competitions.

The weekly meetings will take place in the Math and Stat Department at UNR at a time convenient to all participants.

There are no prerequisites and no special knowledge will be assumed. The only admission requirement is an interest in mathematics!

Please send an e-mail to any of the organizers.

Anyone is welcome to attend, including parents.

You are welcome to begin attending at any point during the school year. With a new topic every week or two, you don't have to worry about getting behind if you miss some of the meetings.

The following problems are indeed just a sample. Some of them can be considered puzzles. The topics of the sessions will be adjusted to the preferences and level of understanding of the participants.

1. Ten mice are moving on a circle with constant common speed (not necessarily all of them in the same direction). When two mice meet they change both the direction. Prove that at some moment the mice will be exactly in the original points on the circle.
2. A girl celebrates her birthday. Her twin brother which was born before her, celebrates his birthday two days later. How this is possible?
3. The day before yesterday I was 11, next year I will be 14. On which day of the year this statement was made?
4. How many times during a day the hands of a clock are in a right angle?
5. Add some mathematical symbols (but not digits) to make the equality 0=6 correct.
6. Given a natural number n, prove that at least one of the numbers n, n+1, n+2, ..., 2n is a perfect square.

• Algebraic identities
• Pigeonhole principle
• Equations in integers
• Search for a pattern
• Plane Geometry