Suitable topics for math research papers vary based on the educational level of the student, ranging from basic probability to complex topics in engineering and physics. For students, it is easiest to divide topics into those suited for middle school, high school and college level courses.
Topics suitable for middle school math papers include pi, probability, the Pythagorean theorem, fractal geometry, the Fibonacci sequence, and Platonic solids, or polyhedra. Other common topics at this level include the Golden Ratio and mathematical patterns in music.
Common high school math paper topics include imaginary numbers, trigonometry, Euclid, Hypatia, the Archimedes principle, statistics, Rene Descartes, Sir Isaac Newton, calculus, Albert Einstein, Ada Lovelace, cryptography, game theory and quadratic equations.
At the college level, math paper topics might examine matrices, higher dimensions and math in everyday life. College papers might concern math in other subject areas, such as cooking, architecture, engineering and sports science.