Olympiad Maths Prep

Library /58th Ukrainian National Mathematical Olympiad

58th Ukrainian National Mathematical Olympiad

60 problems here, rated 4.7 to 7.8 on our scale (AIME to National olympiad, round 2). 60 of them ask for a proof.

Algebra 12Combinatorics 15Geometry 19Number theory 14
#TopicDiffTypeYear
1 Geometry 4.7 proof — open
2 Algebra 4.8 proof — open
3 Algebra 4.8 proof — open
4 Geometry 4.8 proof — open
5 Geometry 4.8 proof — open
6 Number theory 4.9 proof — open
7 Geometry 4.9 proof — open
8 Geometry 5.0 proof — open
9 Geometry 5.0 proof — open
10 Geometry 5.1 proof — open
11 Geometry 5.1 proof — open
12 Geometry 5.2 proof — open
13 Algebra 5.2 proof — open
14 Algebra 5.2 proof — open
15 Combinatorics 5.2 proof — open
16 Geometry 5.2 proof — open
17 Algebra 5.3 proof — open
18 Algebra 5.3 proof — open
19 Algebra 5.3 proof — open
20 Number theory 5.4 proof — open
21 Algebra 5.4 proof — open
22 Geometry 5.5 proof — open
23 Geometry 5.6 proof — open
24 Number theory 5.7 proof — open
25 Algebra 5.7 proof — open
26 Number theory 5.7 proof — open
27 Geometry 5.8 proof — open
28 Number theory 5.8 proof — open
29 Number theory 5.9 proof — open
30 Number theory 6.0 proof — open
31 Algebra 6.0 proof — open
32 Combinatorics 6.0 proof — open
33 Number theory 6.0 proof — open
34 Combinatorics 6.0 proof — open
35 Combinatorics 6.2 proof — open
36 Geometry 6.2 proof — open
37 Algebra 6.2 proof — open
38 Number theory 6.2 proof — open
39 Geometry 6.3 proof — open
40 Combinatorics 6.3 proof — open
41 Geometry 6.3 proof — open
42 Combinatorics 6.3 proof — open
43 Combinatorics 6.4 proof — open
44 Number theory 6.4 proof — open
45 Number theory 6.5 proof — open
46 Number theory 6.5 proof — open
47 Combinatorics 6.5 proof — open
48 Number theory 6.5 proof — open
49 Number theory 6.5 proof — open
50 Algebra 6.6 proof — open
51 Geometry 6.6 proof — open
52 Combinatorics 6.7 proof — open
53 Combinatorics 6.7 proof — open
54 Geometry 6.8 proof — open
55 Geometry 7.0 proof — open
56 Combinatorics 7.3 proof — open
57 Combinatorics 7.4 proof — open
58 Combinatorics 7.4 proof — open
59 Combinatorics 7.8 proof — open
60 Combinatorics 7.8 proof — open
These are in difficulty order within this competition, but they are not a course. The track is the ordered route, drawn from across all the sources.