Mathematics contests, such as the American Mathematical Association of Two-Year Colleges' Student Mathematics League competition, are an excellent vehicle for identifying talented students and promoting mathematics scholarship. On-campus tournaments can supplement the Student Mathematics League national competition, by providing immediate feedback of results and additional opportunities to recognize outstanding scholars and improve the problem-solving skills of competitors. The tournament consists of two parts: in the morning, individual competitors take a 90-minute multiple-choice calculus test, and in the afternoon, a 10-round competition takes place in which competitors solve problems working to beat the clock in teams of four. Individual champions are determined solely by the morning test, whereas the team champions are determined by both the individual team members' morning scores and the team's overall afternoon performance. This booklet offers guidelines for hosting a mathematics tournament. Following introductory sections, the booklet focuses on: (1) means of obtaining support for the tournament, including human, facility, and financial resources; (2) preparations 6 months, 4 months, 2 months, 1 month, and 1 week before the tournament; (3) things to do the day of the tournament; and (4) follow-up activities for the day and week after the tournament. Appendices include budget guidelines and sample letters and forms. (MAB)