Maths Olympiad Prep

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Austrian Mathematical Olympiad

27 problems here, rated 4.7 to 7.5 on our scale (AIME to National olympiad, round 2). 27 of them ask for a proof.

Algebra 6Combinatorics 4Geometry 8Number theory 9
#TopicDiffTypeYear
1 Number theory 4.7 proof — open
2 Geometry 4.8 proof — open
3 Geometry 4.9 proof — open
4 Algebra 4.9 proof — open
5 Number theory 5.0 proof — open
6 Number theory 5.0 proof — open
7 Geometry 5.1 proof — open
8 Algebra 5.2 proof — open
9 Algebra 5.3 proof — open
10 Geometry 5.3 proof — open
11 Number theory 5.3 proof — open
12 Algebra 5.3 proof — open
13 Geometry 5.4 proof — open
14 Number theory 5.6 proof — open
15 Geometry 5.8 proof — open
16 Number theory 5.8 proof — open
17 Number theory 5.8 proof — open
18 Algebra 6.0 proof — open
19 Combinatorics 6.5 proof — open
20 Geometry 6.5 proof — open
21 Combinatorics 6.7 proof — open
22 Number theory 6.8 proof — open
23 Geometry 6.9 proof — open
24 Algebra 7.1 proof — open
25 Combinatorics 7.1 proof — open
26 Combinatorics 7.4 proof — open
27 Number theory 7.5 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.