Maths Olympiad Prep

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National Olympiad Final Round

10 problems here, rated 5.3 to 6.5 on our scale (AIME, harder to National Olympiad). 10 of them ask for a proof.

Algebra 2Combinatorics 1Geometry 3Number theory 4
#TopicDiffTypeYear
1 Number theory 5.3 proof — open
2 Algebra 5.3 proof — open
3 Geometry 5.5 proof — open
4 Number theory 5.7 proof — open
5 Number theory 5.8 proof — open
6 Geometry 5.8 proof — open
7 Number theory 6.0 proof — open
8 Geometry 6.1 proof — open
9 Algebra 6.4 proof — open
10 Combinatorics 6.5 proof — open
These are sorted by difficulty within the competition, but they aren't a course. The track is the route through, drawn from all the sources at once.