Maths Olympiad Prep

Library /VMO

VMO

53 problems here, rated 5 to 7.8 on our scale (AIME, harder to National olympiad, round 2). 53 of them ask for a proof.

Algebra 27Combinatorics 9Geometry 13Number theory 4
#TopicDiffTypeYear
1 Algebra 5.0 proof — open
2 Algebra 5.3 proof — open
3 Algebra 5.3 proof — open
4 Algebra 5.5 proof — open
5 Algebra 5.5 proof — open
6 Algebra 5.6 proof — open
7 Algebra 5.7 proof — open
8 Algebra 5.8 proof — open
9 Algebra 5.9 proof — open
10 Algebra 5.9 proof — open
11 Algebra 5.9 proof — open
12 Algebra 5.9 proof — open
13 Algebra 6.0 proof — open
14 Algebra 6.0 proof — open
15 Algebra 6.0 proof — open
16 Number theory 6.1 proof — open
17 Algebra 6.1 proof — open
18 Algebra 6.2 proof — open
19 Combinatorics 6.2 proof — open
20 Algebra 6.2 proof — open
21 Number theory 6.4 proof — open
22 Geometry 6.5 proof — open
23 Algebra 6.5 proof — open
24 Geometry 6.5 proof — open
25 Algebra 6.6 proof — open
26 Number theory 6.6 proof — open
27 Geometry 6.6 proof — open
28 Geometry 6.6 proof — open
29 Algebra 6.7 proof — open
30 Combinatorics 6.8 proof — open
31 Geometry 6.8 proof — open
32 Algebra 6.8 proof — open
33 Combinatorics 6.8 proof — open
34 Geometry 6.9 proof — open
35 Combinatorics 6.9 proof — open
36 Geometry 6.9 proof — open
37 Combinatorics 6.9 proof — open
38 Algebra 7.0 proof — open
39 Algebra 7.0 proof — open
40 Geometry 7.0 proof — open
41 Combinatorics 7.0 proof — open
42 Geometry 7.2 proof — open
43 Geometry 7.2 proof — open
44 Geometry 7.2 proof — open
45 Algebra 7.3 proof — open
46 Combinatorics 7.3 proof — open
47 Geometry 7.3 proof — open
48 Geometry 7.4 proof — open
49 Algebra 7.4 proof — open
50 Number theory 7.5 proof — open
51 Combinatorics 7.6 proof — open
52 Combinatorics 7.7 proof — open
53 Algebra 7.8 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.