Library /62nd Ukrainian National Mathematical Olympiad

62nd Ukrainian National Mathematical Olympiad

45 problems here, rated 4.4 to 7.9 on our scale (AIME to National olympiad, round 2). 44 of them ask for a proof.

Algebra 12Combinatorics 15Geometry 11Number theory 7

#	Topic	Diff	Type	Year
1	Algebra	4.4	proof	—	open
2	Algebra	4.5	proof	—	open
3	Geometry	4.8	proof	—	open
4	Algebra	4.9	proof	—	open
5	Algebra	5.0	answer	—	open
6	Geometry	5.0	proof	—	open
7	Algebra	5.1	proof	—	open
8	Combinatorics	5.1	proof	—	open
9	Combinatorics	5.2	proof	—	open
10	Combinatorics	5.3	proof	—	open
11	Geometry	5.4	proof	—	open
12	Geometry	5.5	proof	—	open
13	Geometry	5.5	proof	—	open
14	Algebra	5.6	proof	—	open
15	Number theory	5.7	proof	—	open
16	Geometry	5.7	proof	—	open
17	Number theory	5.7	proof	—	open
18	Number theory	5.8	proof	—	open
19	Number theory	5.9	proof	—	open
20	Geometry	5.9	proof	—	open
21	Algebra	6.0	proof	—	open
22	Combinatorics	6.0	proof	—	open
23	Number theory	6.0	proof	—	open
24	Geometry	6.1	proof	—	open
25	Combinatorics	6.2	proof	—	open
26	Combinatorics	6.3	proof	—	open
27	Combinatorics	6.3	proof	—	open
28	Algebra	6.4	proof	—	open
29	Combinatorics	6.5	proof	—	open
30	Combinatorics	6.5	proof	—	open
31	Algebra	6.5	proof	—	open
32	Combinatorics	6.5	proof	—	open
33	Algebra	6.6	proof	—	open
34	Algebra	6.6	proof	—	open
35	Combinatorics	6.7	proof	—	open
36	Combinatorics	6.7	proof	—	open
37	Geometry	6.8	proof	—	open
38	Combinatorics	6.8	proof	—	open
39	Geometry	6.9	proof	—	open
40	Algebra	7.4	proof	—	open
41	Number theory	7.5	proof	—	open
42	Number theory	7.5	proof	—	open
43	Geometry	7.7	proof	—	open
44	Combinatorics	7.8	proof	—	open
45	Combinatorics	7.9	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.