Olympiad Maths Prep

Library /59th Ukrainian National Mathematical Olympiad

59th Ukrainian National Mathematical Olympiad

55 problems here, rated 4.6 to 7.7 on our scale (AIME to National olympiad, round 2). 54 of them ask for a proof.

Algebra 12Combinatorics 15Geometry 14Number theory 14
#TopicDiffTypeYear
1 Algebra 4.6 answer — open
2 Geometry 4.9 proof — open
3 Algebra 4.9 proof — open
4 Geometry 5.0 proof — open
5 Algebra 5.1 proof — open
6 Geometry 5.1 proof — open
7 Number theory 5.2 proof — open
8 Geometry 5.2 proof — open
9 Algebra 5.2 proof — open
10 Geometry 5.2 proof — open
11 Number theory 5.2 proof — open
12 Geometry 5.2 proof — open
13 Combinatorics 5.3 proof — open
14 Number theory 5.4 proof — open
15 Number theory 5.4 proof — open
16 Number theory 5.5 proof — open
17 Combinatorics 5.6 proof — open
18 Number theory 5.6 proof — open
19 Geometry 5.6 proof — open
20 Algebra 5.6 proof — open
21 Geometry 5.6 proof — open
22 Number theory 5.7 proof — open
23 Algebra 5.7 proof — open
24 Geometry 5.7 proof — open
25 Number theory 5.7 proof — open
26 Combinatorics 5.8 proof — open
27 Combinatorics 5.8 proof — open
28 Combinatorics 5.9 proof — open
29 Geometry 5.9 proof — open
30 Algebra 6.0 proof — open
31 Combinatorics 6.0 proof — open
32 Combinatorics 6.0 proof — open
33 Combinatorics 6.0 proof — open
34 Algebra 6.1 proof — open
35 Number theory 6.1 proof — open
36 Algebra 6.2 proof — open
37 Number theory 6.2 proof — open
38 Number theory 6.3 proof — open
39 Combinatorics 6.4 proof — open
40 Number theory 6.4 proof — open
41 Algebra 6.5 proof — open
42 Number theory 6.6 proof — open
43 Combinatorics 6.6 proof — open
44 Geometry 6.7 proof — open
45 Combinatorics 6.8 proof — open
46 Algebra 6.8 proof — open
47 Geometry 6.9 proof — open
48 Combinatorics 7.0 proof — open
49 Geometry 7.0 proof — open
50 Combinatorics 7.1 proof — open
51 Algebra 7.2 proof — open
52 Geometry 7.3 proof — open
53 Number theory 7.3 proof — open
54 Combinatorics 7.4 proof — open
55 Combinatorics 7.7 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.