Maths Olympiad Prep

Library /China Mathematical Olympiad

China Mathematical Olympiad

38 problems here, rated 5.7 to 8 on our scale (AIME, harder to Shortlist). 38 of them ask for a proof.

Algebra 11Combinatorics 7Geometry 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
38 Combinatorics 8.0 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.