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Opening Set

Spring 2026 · 10 problems

Mathematics is not a spectator sport.

George Pólya

The set the club opened Spring 2026 with — the round table, the monk on the mountain, the pigeonholes, the broken stick.

Download the problem set (PDF)

What is in it

Problems only — the club works these out together at meetings. Topic and attribution are listed as a starting point.

1. The Round Table Game Strategy / Symmetry
2. The Monk on the Mountain Logic / Intermediate Value Thm
3. The Broken Stick Probability / Geometry
4. The 0-1 Multiple Number Theory / Pigeonhole
5. Arithmetic Mean of Digits AlgebraPutnam 1989 A1
6. Nilpotent Matrices Linear Algebra
7. The ``Impossible" Integral Calculus / Symmetry
8. The Hallway Corner Calculus / Optimization
9. Integer Polynomials Algebra / Number Theory
10. Non-Consecutive Subsets Combinatorics