Academic Tournaments

Constructive Competition: National Mathematics Pentathlon® Academic Tournaments

Getting Prepared

Students who have been proficient at the games may wish to test their problem-solving abilities with students from other schools at a National Mathematics Pentathlon® Academic Tournament. Teachers and parents can help these students gain leadership skills by preparing them for this level of involvement. If students intend to participate in a National Tournament, they need to be very knowledgeable of the procedures and rules that apply to such competition.

Teachers, coaches, and parents prepare students for tournaments by refining their game strategies and orienting them to the procedural and challenge rules within each game.  While learning the games we suggest organizing students in cooperative groups of 4.  However, when preparing students for a tournament, we recommend that they play the games one-on-one. All opportunities for practice should be utilized. Students must formally register and make arrangements to attend one of the National Mathematics Pentathlon® Academic Tournaments. For each of the 5 games at a National Tournament, each participant is matched with a different student at the same grade level from different schools.


Adult volunteers serve as Game Monitors at each of the National Tournaments that are hosted by school districts, systems or a university. Each two-person game is officiated by one adult Game Monitor. National Tournaments are organized and regulated by the Pentathlon Institute’s staff. Fall Training Sessions are conducted in areas where National Academic Tournaments are held to help parents, teachers, and administrators learn the games. In addition, Spring Volunteer Orientation Sessions (VOSs) are conducted by Pentathlon Representatives to assist prospective tournament officials in the details of running a National Tournament. The Pentathlon Institute’s trademarks, copyrights, and service mark ensure that each National Tournament provides the same standards of competition experienced in all other Mathematics Pentathlon® Tournaments. Preparation and assistance in conducting these National Tournaments is a year-round responsibility of the Pentathlon Institute’s Staff.


Most other competitions are designed with local, state, regional, and national run-offs to determine “the best” student within a particular category. Such competitions rarely attract students from a broad-ability range. The Mathematics Pentathlon® Program does not utilize a run-off based system of competition.  All prepared student are welcome to register for any National Mathematics Pentathlon® Academic Tournament. Awards at a National Tournament are based on a point system rather than a run-off. Each participant is awarded 3 points for a win, 2 points for a tie, and 1 point for a loss. National School Teams of 30 students across 5 grade levels also compete for First, Second, and Third Place Trophies. All individual participants, referred to as PentathletesTM receive formal recognition and applause for their efforts at an Awards Ceremony.  Based on the spirit of constructive competition, all participants at a National Tournament are considered winners.

National and International studies continue to report that most students lack an understanding of mathematics on a higher problem-solving level. This level involves the use of critical thinking skills, logical and hypothetical reasoning, articulating patterns, and discerning relationships among mathematical topics and ideas. Yet paper and pencil assessments are often ineffective at evaluating these important thought processes. In order to maintain test reliability, most standardized test items only assess lower cognitive abilities such as knowledge and comprehension of specific information. A more dynamic index is needed to assess students’ strategic thinking skills. Evidence suggests that the National Mathematics Pentathlon® Academic Tournaments provide such a necessary index. District representatives may wish to examine the active problem-solving performance of their individual students or teams that compete in a National Tournament. Such analysis will provide new insight into the challenges that exist in reconstructing the assessment of higher-order thinking.

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The Pentathlon Institute has the sole legal rights through our Service Mark and Trade Mark to conduct  Mathematics Pentathlon® Tournaments/Competitions.  We obtained these rights to maintain the integrity of the Mathematics Pentathlon® Program  and to assure participating school districts that all National Tournaments provide the same standards and excellence.  These rights are described in all of our copyrighted Publications as well as our Gameboards.  Therefore, schools, districts, or other groups are not allowed to conduct tournaments/competitions unless in concert with the Pentathlon Institute.