Maths Olympiad Prep

Library /Ukrainian Mathematical Olympiad

Ukrainian Mathematical Olympiad

60 problems here, rated 4.6 to 7.6 on our scale (AIME to National Olympiad, round 2). 60 of them ask for a proof.

Algebra 22Combinatorics 14Geometry 14Number theory 10
#TopicDiffTypeYear
1 Geometry 4.6 proof — open
2 Algebra 4.8 proof — open
3 Combinatorics 4.8 proof — open
4 Algebra 4.8 proof — open
5 Algebra 4.9 proof — open
6 Algebra 4.9 proof — open
7 Geometry 4.9 proof — open
8 Algebra 4.9 proof — open
9 Geometry 4.9 proof — open
10 Number theory 4.9 proof — open
11 Algebra 5.1 proof — open
12 Number theory 5.1 proof — open
13 Algebra 5.1 proof — open
14 Algebra 5.2 proof — open
15 Algebra 5.2 proof — open
16 Number theory 5.3 proof — open
17 Combinatorics 5.3 proof — open
18 Number theory 5.3 proof — open
19 Combinatorics 5.3 proof — open
20 Algebra 5.3 proof — open
21 Number theory 5.3 proof — open
22 Algebra 5.3 proof — open
23 Combinatorics 5.4 proof — open
24 Algebra 5.4 proof — open
25 Geometry 5.5 proof — open
26 Geometry 5.7 proof — open
27 Combinatorics 5.7 proof — open
28 Geometry 5.7 proof — open
29 Number theory 5.7 proof — open
30 Algebra 5.7 proof — open
31 Number theory 5.7 proof — open
32 Geometry 5.7 proof — open
33 Number theory 5.8 proof — open
34 Geometry 5.8 proof — open
35 Geometry 5.8 proof — open
36 Algebra 5.9 proof — open
37 Algebra 5.9 proof — open
38 Algebra 6.0 proof — open
39 Geometry 6.0 proof — open
40 Algebra 6.0 proof — open
41 Algebra 6.0 proof — open
42 Number theory 6.1 proof — open
43 Combinatorics 6.1 proof — open
44 Algebra 6.2 proof — open
45 Geometry 6.2 proof — open
46 Combinatorics 6.3 proof — open
47 Number theory 6.3 proof — open
48 Geometry 6.4 proof — open
49 Geometry 6.5 proof — open
50 Geometry 6.5 proof — open
51 Combinatorics 6.6 proof — open
52 Algebra 6.8 proof — open
53 Combinatorics 6.9 proof — open
54 Combinatorics 7.0 proof — open
55 Combinatorics 7.0 proof — open
56 Combinatorics 7.0 proof — open
57 Algebra 7.1 proof — open
58 Combinatorics 7.2 proof — open
59 Algebra 7.5 proof — open
60 Combinatorics 7.6 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.