Maths Olympiad Prep

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Selected Problems from the Final Round of National Olympiad

9 problems here, rated 5.1 to 7.3 on our scale (AIME, harder to National olympiad, round 2). 9 of them ask for a proof.

Algebra 3Geometry 4Number theory 2
#TopicDiffTypeYear
1 Algebra 5.1 proof open
2 Algebra 5.4 proof open
3 Number theory 5.7 proof open
4 Number theory 5.8 proof open
5 Algebra 5.9 proof open
6 Geometry 6.5 proof open
7 Geometry 6.6 proof open
8 Geometry 7.0 proof open
9 Geometry 7.3 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.