Maths Olympiad Prep

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China Mathematical Olympiad

37 problems here, rated 5.7 to 7.7 on our scale (AIME, harder to National Olympiad, round 2). 37 of them ask for a proof.

Algebra 11Combinatorics 6Geometry 9Number theory 11
#TopicDiffTypeYear
1 Number theory 5.7 proof — open
2 Algebra 6.0 proof — open
3 Algebra 6.1 proof — open
4 Geometry 6.1 proof — open
5 Combinatorics 6.2 proof — open
6 Combinatorics 6.3 proof — open
7 Algebra 6.3 proof — open
8 Number theory 6.4 proof — open
9 Number theory 6.4 proof — open
10 Geometry 6.5 proof — open
11 Combinatorics 6.5 proof — open
12 Number theory 6.5 proof — open
13 Number theory 6.5 proof — open
14 Combinatorics 6.6 proof — open
15 Algebra 6.6 proof — open
16 Number theory 6.7 proof — open
17 Algebra 6.7 proof — open
18 Algebra 6.7 proof — open
19 Algebra 6.7 proof — open
20 Number theory 6.8 proof — open
21 Number theory 6.8 proof — open
22 Geometry 6.8 proof — open
23 Algebra 6.8 proof — open
24 Geometry 6.9 proof — open
25 Geometry 7.0 proof — open
26 Number theory 7.0 proof — open
27 Geometry 7.0 proof — open
28 Geometry 7.0 proof — open
29 Combinatorics 7.2 proof — open
30 Geometry 7.2 proof — open
31 Number theory 7.3 proof — open
32 Algebra 7.5 proof — open
33 Algebra 7.5 proof — open
34 Algebra 7.6 proof — open
35 Geometry 7.6 proof — open
36 Number theory 7.7 proof — open
37 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.