Here is a list, in no particular order, of some famous math problems, puzzles, and questions:

- Königsberg Bridges
- Zeno's paradox
- Fermat's Last Theorem
- Three Construction Problems of Antiquity
- Euclid's Parallel Postulate
- See Euclidean and Non-Euclidean Geometry for more information.
- Riemann Hypothesis
- Four Colour Theorem
- Travelling Salesman problem