Department of Mathematics

Math Field Day
Contests
Mad Hatter Marathon is an individual contest.
The Mad Hatter Marathon is a competition in rapid computation and solution. Problems will be shown on a screen, and also read aloud. The questions will be given in a multiple choice format. The student will work on the problems mentally, if possible, but using paper and pencil is allowed. There will be two parts, 60 min long each. Each part will consist of 30 problems, thus approximately 2 min (1.5 min for grades 68) will be given for each question.
 Mad Hatter 1112 is for grades 1112. (Lower grades are allowed to participate in this contest, however, are encouraged to participate in one of the other Mad Hatters which are very similar in nature, but are open to lower grades only.)
Problems will be chosen from applied as well as academic math. The following topic areas should be reviewed by participating students: binomial expansion, complex numbers, functions (polynomial, rational, algebraic, circular, logarithmic, exponential), geometry (plane, space, coordinate), number theory, progressions, combinations, probability, sequences, series, and trigonometry.
 Mad Hatter 910 is for grades 910. (Lower grades are allowed to participate in this contest, however, are encouraged to participate in Mad Hatter 68 which is very similar in nature, but is open to lower grades only.)
Problems will be chosen from applied as well as academic math. Contest material will be restricted to topics covered in foundation courses in algebra and geometry. Other problems will be utilized if the solutions are primarily "intuitive" in nature.
 Mad Hatter 68 is for grades 68. (Grades 5 and lower, however, are allowed to participate in this contest.)
Problems will be chosen from applied as well as academic math. Contest material will be restricted to topics covered in foundation mathematics courses. Other problems will be utilized if the solutions are primarily "intuitive" in nature.
Leap Frog
Knowledge of mathematics and excellence in the skills of checking, working clearly and neatly, and making best use of the time will be recognized in this contest.
Twoperson teams are entered with each person working on different sets of 10 problems during the first part. At the end of 60 minutes, papers are exchanged and each person is allowed 60 minutes to check, correct, and complete their partner's work. During this checking period, teammates may talk quietly and share ideas. The total score for both papers will be used to determine team placement.
 Leap Frog 1112 is a team contest for grades 1112. (Each team consists of 2 students from the same school. Lower grades are allowed to participate in this contest, however, are encouraged to participate in Leap Frog 910 or Leap Frog 68 which are very similar in nature, but are open to lower grades only.) Some of the problems below are from previous years Leap Frog 912 contest which has been replaced by Leap Frog 1112 and Leap Frog 910.
2017 Leap Frog 1112  2017 Leap Frog 1112 Solutions  2015 Leap Frog 1112 
2012 Leap Frog 912  2011 Leap Frog 912  2010 Leap Frog 912 
2009 Leap Frog 912 
2008 Leap Frog 912 
Problems will be chosen from all high school subjects in mathematics and some will require original thinking. Topics covered will include: geometry, number theory, algebra, permutations, combinations, probability, exponents and logarithms, trigonometric (circular) functions, and miscellaneous topics.
 Leap Frog 910 is for grades 910. (Grades 8 and lower, however, are allowed to participate in this contest.)
 Leap Frog 68 is for grades 68. (Grades 5 and lower, however, are allowed to participate in this contest.)
2017 Leap Frog 68  2017 Leap Frog 68 Solutions  2015 Leap Frog 68 
2012 Leap Frog 68  2011 Leap Frog 68  2010 Leap Frog 68 
2009 Leap Frog 68  2008 Leap Frog 68  2006 Leap Frog 68 
Game Tournament is an individual contest.
This contest is a tournament held in two 1 hour periods with a short break between them. During the first period, contestants will play one of these games (against each other). The contestants are expected to know the rules of these games and have a strategy in mind. Top players will play another game during the second period. The second game will be a variation of the first one. Here are some possible game variations. However, our second game does not have to be one of these but it may be a different variation. The exact rules of the second game will be announced after the first period, so the contestants will have to think of a strategy fast.
The eliminated players may either watch the remaining contestants, or play these or other games among themselves (only their scores will no longer be recorded).
Here are some more details: For all games, the initial numbers and/or positions of the tokens will be given by the organizers.
The contestants will be randomly divided into small groups (approximately 58 players, depending on the total number of participants). Each contestant will play with each (or almost each) of the other players in his or her group twice. More precisely, each (or almost each) pair in the group will play two times where the first time one of the players chooses whether he or she wants to go first or second, and the second time the other player chooses whether he or she wants to go first or second. All scores will be recorded. All players will have played the same number of games by the end of the first hour (about 812 games, exact number to be determined). Top players (the exact number to be determined, depending on the total number of participants) will proceed to the second half of the tournament.
Then we will take a short break (about 1015 minutes). After the break, exact rules of the second game will be announced, contestants will again be divided into small groups and play the second game in the same fashion as before. After each group is done, total scores from first and second part of the tournament will be counted for each participant. This total score will be the participant's score used to determine winners and school rankings. If there are any ties for the first, second, or third places, then (1) a person who never lost two games to the same person (in the same hour) wins over a person who did, and (2) additional games may be used to break ties.
 Game Tournament 912 is for grades 912. (Lower grades are allowed to participate in this contest, however, are encouraged to participate in Game Tournament 68 which is very similar in nature, but is open to lower grades only.)
 Game Tournament 68 is for grades 68. (Grades 5 and lower, however, are allowed to participate in this contest.)