Maths Olympiad Prep

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IMO Selection

10 problems here, rated 7.7 to 8.9 on our scale (National Olympiad, round 2 to Shortlist). 10 of them ask for a proof.

Algebra 5Combinatorics 2Geometry 2Number theory 1
#TopicDiffTypeYear
1 Algebra 7.7 proof — open
2 Number theory 7.9 proof — open
3 Geometry 8.1 proof — open
4 Combinatorics 8.1 proof — open
5 Combinatorics 8.2 proof — open
6 Geometry 8.5 proof — open
7 Algebra 8.6 proof — open
8 Algebra 8.7 proof — open
9 Algebra 8.8 proof — open
10 Algebra 8.9 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.