MathCastleCompetition practice
USAMO
Day I and Day II
National olympiad level in the real two-day format: three problems, hand them in, then three more, each day ramping to a very hard closer. Four original papers, each a compute-form olympiad set with full proofs as solutions and one generating-function problem.
How a paper runs
6 problems · 9 hours
- Two days of 3 problems each, 4.5 hours per day.
- Each problem is worth 7 points. Full credit needs a complete, rigorous proof.
- Here every problem also has a numeric target, so your answer can be checked.
- Day I is handed in before Day II is opened.
Practice papers
- USAMO — Practice Contest 1 Sit it PDF
- USAMO — Practice Contest 2 Sit it PDF
- USAMO — Practice Contest 3 Sit it PDF
- USAMO — Practice Contest 4 Sit it PDF
MathCastle practice paper. Original problems in the contest format; not affiliated with or endorsed by the contest organisers.