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

Division ADivision ADivision AADivision AA
1981Math InductionPythagorean TheoremNumber PatternsTaxicab Geometry
1982ConicsFinite GeometriesGroupsGeometry of Inversion
1983Equations and LocusGeometric TransformationsMarkov ChainsNon-Euclidean Geometry
1984LogicPolar CoordinatesLogicPoints and Lines
1985Linear ProgrammingRandom WalksLinear ProgrammingConvexity
1986RingsGeometric ConstructionsRingsPolar Coordinates
1987Game TheoryTheory of EquationsGeometric ProbabilityGraph Theory
1988Geometric ProbabilityConic SectionsGeometric TransformationsLogic and Logic Circuits
1989Logic and Logic CircuitsCombinatorics
1990Linear AlgebraRings
1991Finite DifferencesProbability
1992ProbabilityMarkov Chains
1993Markov ChainsGroup Theory
1994GroupsFractals
1995Fractals and ChaosError Correcting Codes
1996Coding TheoryTaxicab Geometry
1997Taxicab GeometryMath in Medicine
1998Mathematics and MedicineMathematics and Politics
1999Mathematics and PoliticsTopics in Geometry
2000Topics in GeometryInverse Geometry
2001Lore of Large NumbersGeometric Transformations
2002Linear Transformations of the PlaneGeometric Inequalities
2003Graphs and Their UsesConic Sections
2004Conic SectionsMarkov Chains
2005Markov ChainsProbability
2006ProbabilityRelations
2007CodingCake Slicing
2008Cake SlicingVoting Theory
2009Voting TheoryGraphs and Networks
2010Graphs and NetworksSymmetry and Patterns
2011Symmetry and PatternsPlanning, Scheduling, and Linear Programming
2012Planning, Scheduling, and Linear ProgrammingTaxicab Geometry
2013VectorsVectors
2014Exponents and LogarithmsGeometric Probability
2015FunctionsProbability
2016Sequences and SeriesIsometries
2017Coordinate GeometryLogic and Logic Circuits
2018TrigonometryMarkov Chains
2019InequalitiesGame Theory