Overview
USAMO is a proof exam. Success depends on strategy, time allocation, and clear solution organization.
Key Ideas
- Plan before you write: outline lemmas and the final claim.
- Use headings like "Claim" and "Proof" to structure the write-up.
- Reserve time to review for gaps or unstated assumptions.
Practice Problems
| Status | Source | Problem Name | Difficulty | Tags | ||
|---|---|---|---|---|---|---|
| Custom | Normal | Show TagsProof, Strategy | ||||
| Berkeley Math Circle Monthly Contest 3 | Hard | Show TagsGames / greedy algorithms, Invariants / monovariants | ||||
| Berkeley Math Circle: Monthly Contest 7 | Hard | Show TagsColoring schemes, extremal arguments, Combinatorial optimization, Games / greedy algorithms | ||||
| Berkeley Math Circle Monthly Contest 6 | Hard | Show TagsEuler characteristic: V-E+F, Games / greedy algorithms | ||||
| Berkeley Math Circle | Hard | Show TagsGames / greedy algorithms, Rotation | ||||
| Berkeley Math Circle Monthly Contest | Hard | Show TagsColoring schemes, extremal arguments, Games / greedy algorithms, Invariants / monovariants | ||||
| Berkeley Math Circle: Monthly Contest 8 | Hard | Show TagsGames / greedy algorithms, Invariants / monovariants | ||||
| Berkeley Math Circle Monthly Contest 5 | Hard | Show TagsGames / greedy algorithms, Invariants / monovariants | ||||
| Berkeley Math Circle Monthly Contest 3 | Hard | Show TagsColoring schemes, extremal arguments, Games / greedy algorithms, Invariants / monovariants | ||||
| Berkeley Math Circle Monthly Contest 4 | Hard | Show TagsGames / greedy algorithms, Invariants / monovariants | ||||
| Berkeley Math Circle Monthly Contest 3 | Hard | Show TagsGames / greedy algorithms, Invariants / monovariants | ||||
| Berkeley Math Circle Monthly Contest 1 | Hard | Show TagsGames / greedy algorithms | ||||
| MathNet | Hard | Show TagsGames / greedy algorithms, Invariants / monovariants | ||||
| Berkeley Math Circle: Monthly Contest 8 | Hard | Show TagsGames / greedy algorithms, Invariants / monovariants | ||||
| Berkeley Math Circle Monthly Contest 6 | Hard | Show TagsAlgorithms, Games / greedy algorithms, Pigeonhole principle, Sums and products | ||||
| Berkeley Math Circle Monthly Contest 8 | Hard | Show TagsAlgorithms, Games / greedy algorithms, Invariants / monovariants | ||||
| Berkeley Math Circle: Monthly Contest 8 | Hard | Show TagsAlgorithms, Games / greedy algorithms, Invariants / monovariants | ||||
| Berkeley Math Circle Monthly Contest #7 | Hard | Show TagsGames / greedy algorithms, Greatest common divisors (gcd), Induction / smoothing, Pigeonhole principle | ||||
Module Progress:
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