Maths Olympiad Prep

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China Southeastern Mathematical Olympiad

40 problems here, rated 4.9 to 7.7 on our scale (AIME to National olympiad, round 2). 40 of them ask for a proof.

Algebra 15Combinatorics 9Geometry 8Number theory 8
#TopicDiffTypeYear
1 Algebra 4.9 proof — open
2 Geometry 4.9 proof — open
3 Algebra 5.0 proof — open
4 Number theory 5.1 proof — open
5 Algebra 5.3 proof — open
6 Algebra 5.3 proof — open
7 Algebra 5.3 proof — open
8 Algebra 5.4 proof — open
9 Geometry 5.4 proof — open
10 Number theory 5.4 proof — open
11 Geometry 5.4 proof — open
12 Geometry 5.5 proof — open
13 Algebra 5.6 proof — open
14 Algebra 5.7 proof — open
15 Algebra 5.8 proof — open
16 Algebra 5.9 proof — open
17 Geometry 5.9 proof — open
18 Number theory 5.9 proof — open
19 Algebra 6.0 proof — open
20 Geometry 6.0 proof — open
21 Number theory 6.1 proof — open
22 Algebra 6.1 proof — open
23 Combinatorics 6.2 proof — open
24 Number theory 6.3 proof — open
25 Algebra 6.3 proof — open
26 Algebra 6.3 proof — open
27 Combinatorics 6.3 proof — open
28 Combinatorics 6.4 proof — open
29 Combinatorics 6.5 proof — open
30 Combinatorics 6.5 proof — open
31 Geometry 6.7 proof — open
32 Geometry 6.7 proof — open
33 Number theory 6.8 proof — open
34 Combinatorics 7.1 proof — open
35 Algebra 7.1 proof — open
36 Number theory 7.3 proof — open
37 Number theory 7.3 proof — open
38 Combinatorics 7.4 proof — open
39 Combinatorics 7.6 proof — open
40 Combinatorics 7.7 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.