Maths Olympiad Prep

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Team Selection Tests

11 problems here, rated 8.5 to 9.2 on our scale (Shortlist to IMO level). 11 of them ask for a proof.

Algebra 5Combinatorics 2Geometry 3Number theory 1
#TopicDiffTypeYear
1 Algebra 8.5 proof — open
2 Algebra 8.7 proof — open
3 Algebra 8.8 proof — open
4 Number theory 8.8 proof 2021 open
5 Algebra 8.8 proof — open
6 Geometry 8.8 proof — open
7 Geometry 8.9 proof — open
8 Combinatorics 8.9 proof — open
9 Algebra 9.0 proof — open
10 Geometry 9.1 proof — open
11 Combinatorics 9.2 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.