From 1981-1988, each division had two oral topics.

Division A | Division A | Division AA | Division AA | |

1981 | Math Induction | Pythagorean Theorem | Number Patterns | Taxicab Geometry |

1982 | Conics | Finite Geometries | Groups | Geometry of Inversion |

1983 | Equations and Locus | Geometric Transformations | Markov Chains | Non-Euclidean Geometry |

1984 | Logic | Polar Coordinates | Logic | Points and Lines |

1985 | Linear Programming | Random Walks | Linear Programming | Convexity |

1986 | Rings | Geometric Constructions | Rings | Polar Coordinates |

1987 | Game Theory | Theory of Equations | Geometric Probability | Graph Theory |

1988 | Geometric Probability | Conic Sections | Geometric Transformations | Logic and Logic Circuits |

1989 | Logic and Logic Circuits | Combinatorics | ||

1990 | Linear Algebra | Rings | ||

1991 | Finite Differences | Probability | ||

1992 | Probability | Markov Chains | ||

1993 | Markov Chains | Group Theory | ||

1994 | Groups | Fractals | ||

1995 | Fractals and Chaos | Error Correcting Codes | ||

1996 | Coding Theory | Taxicab Geometry | ||

1997 | Taxicab Geometry | Math in Medicine | ||

1998 | Mathematics and Medicine | Mathematics and Politics | ||

1999 | Mathematics and Politics | Topics in Geometry | ||

2000 | Topics in Geometry | Inverse Geometry | ||

2001 | Lore of Large Numbers | Geometric Transformations | ||

2002 | Linear Transformations of the Plane | Geometric Inequalities | ||

2003 | Graphs and Their Uses | Conic Sections | ||

2004 | Conic Sections | Markov Chains | ||

2005 | Markov Chains | Probability | ||

2006 | Probability | Relations | ||

2007 | Coding | Cake Slicing | ||

2008 | Cake Slicing | Voting Theory | ||

2009 | Voting Theory | Graphs and Networks | ||

2010 | Graphs and Networks | Symmetry and Patterns | ||

2011 | Symmetry and Patterns | Planning, Scheduling, and Linear Programming | ||

2012 | Planning, Scheduling, and Linear Programming | Taxicab Geometry | ||

2013 | Vectors | Vectors | ||

2014 | Exponents and Logarithms | Geometric Probability | ||

2015 | Functions | Probability | ||

2016 | Sequences and Series | Isometries | ||

2017 | Coordinate Geometry | Logic and Logic Circuits | ||

2018 | Trigonometry | Markov Chains | ||

2019 | Inequalities | Game Theory |