Free. Engineered better.
Every problem on AxiomIQ is freely available. We believe high-quality problems should be accessible to everyone. Each problem is carefully selected, refined, rated for difficulty, and paired with a complete, verified solution.
What Makes a Problem “AxiomIQ-worthy”
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It requires genuine insight, not just computation.
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It has a beautiful or surprising solution.
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It rewards thinking about it twice.
Problems Sourced From Everywhere
Exceptional problems are rarely found in one place. We carefully source them from competitions, interview archives, research papers, textbooks, and other trusted sources to build an open collection worth exploring.
- International olympiads
- Quant interview archives
- Research papers
- Academic texts
- And more
Topics We Cover
- Probability
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The mathematics of uncertainty. These problems ask you to reason carefully about randomness, expectation, and the sometimes counterintuitive behavior of chance.
problems → - Game Theory
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The study of strategic interaction between rational agents. These problems explore equilibria, bargaining, and the surprising ways individually rational choices can conflict.
problems → - Combinatorics
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The art of counting without counting everything. These problems reward clever bijections and structural insight over brute-force enumeration.
problems → - Logic Puzzles
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Problems that don't require advanced machinery, just careful thinking. The kind of puzzle that seems impossible until the right reframe makes it obvious.
problems → - Statistics
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The mathematics of drawing sound conclusions from incomplete information. These problems test estimation, inference, and a healthy skepticism of intuition.
problems →