Library /Ukrainian National Mathematical Olympiad

Ukrainian National Mathematical Olympiad

201 problems here, rated 4.4 to 8 on our scale (AIME to Shortlist). 198 of them ask for a proof.

Algebra 48Combinatorics 52Geometry 52Number theory 49

#	Topic	Diff	Type	Year
1	Algebra	4.4	proof	—	open
2	Algebra	4.4	answer	—	open
3	Algebra	4.5	proof	—	open
4	Algebra	4.6	answer	—	open
5	Algebra	4.8	proof	—	open
6	Geometry	4.8	proof	—	open
7	Algebra	4.8	proof	—	open
8	Algebra	4.8	proof	—	open
9	Geometry	4.8	proof	—	open
10	Algebra	4.8	proof	—	open
11	Geometry	4.8	proof	—	open
12	Number theory	4.9	proof	—	open
13	Geometry	4.9	proof	—	open
14	Geometry	4.9	proof	—	open
15	Algebra	4.9	proof	—	open
16	Algebra	4.9	proof	—	open
17	Geometry	5.0	proof	—	open
18	Geometry	5.0	proof	—	open
19	Geometry	5.0	proof	—	open
20	Geometry	5.0	proof	—	open
21	Algebra	5.0	answer	—	open
22	Geometry	5.0	proof	—	open
23	Algebra	5.0	proof	—	open
24	Algebra	5.1	proof	—	open
25	Geometry	5.1	proof	—	open
26	Geometry	5.1	proof	—	open
27	Algebra	5.1	proof	—	open
28	Number theory	5.1	proof	—	open
29	Combinatorics	5.1	proof	—	open
30	Geometry	5.1	proof	—	open
31	Geometry	5.1	proof	—	open
32	Geometry	5.1	proof	—	open
33	Number theory	5.1	proof	—	open
34	Algebra	5.2	proof	—	open
35	Number theory	5.2	proof	—	open
36	Geometry	5.2	proof	—	open
37	Geometry	5.2	proof	—	open
38	Algebra	5.2	proof	—	open
39	Geometry	5.2	proof	—	open
40	Algebra	5.2	proof	—	open
41	Number theory	5.2	proof	—	open
42	Number theory	5.2	proof	—	open
43	Algebra	5.2	proof	—	open
44	Combinatorics	5.2	proof	—	open
45	Geometry	5.2	proof	—	open
46	Combinatorics	5.2	proof	—	open
47	Geometry	5.2	proof	—	open
48	Algebra	5.3	proof	—	open
49	Algebra	5.3	proof	—	open
50	Algebra	5.3	proof	—	open
51	Combinatorics	5.3	proof	—	open
52	Combinatorics	5.3	proof	—	open
53	Algebra	5.3	proof	—	open
54	Number theory	5.4	proof	—	open
55	Algebra	5.4	proof	—	open
56	Number theory	5.4	proof	—	open
57	Number theory	5.4	proof	—	open
58	Number theory	5.4	proof	—	open
59	Number theory	5.4	proof	—	open
60	Algebra	5.4	proof	—	open
61	Geometry	5.4	proof	—	open
62	Algebra	5.5	proof	—	open
63	Geometry	5.5	proof	—	open
64	Number theory	5.5	proof	—	open
65	Number theory	5.5	proof	—	open
66	Geometry	5.5	proof	—	open
67	Geometry	5.5	proof	—	open
68	Geometry	5.5	proof	—	open
69	Combinatorics	5.6	proof	—	open
70	Geometry	5.6	proof	—	open
71	Algebra	5.6	proof	—	open
72	Number theory	5.6	proof	—	open
73	Algebra	5.6	proof	—	open
74	Geometry	5.6	proof	—	open
75	Geometry	5.6	proof	—	open
76	Number theory	5.7	proof	—	open
77	Number theory	5.7	proof	—	open
78	Number theory	5.7	proof	—	open
79	Algebra	5.7	proof	—	open
80	Geometry	5.7	proof	—	open
81	Algebra	5.7	proof	—	open
82	Number theory	5.7	proof	—	open
83	Number theory	5.7	proof	—	open
84	Geometry	5.7	proof	—	open
85	Number theory	5.7	proof	—	open
86	Number theory	5.7	proof	—	open
87	Number theory	5.7	proof	—	open
88	Number theory	5.8	proof	—	open
89	Number theory	5.8	proof	—	open
90	Geometry	5.8	proof	—	open
91	Algebra	5.8	proof	—	open
92	Combinatorics	5.8	proof	—	open
93	Geometry	5.8	proof	—	open
94	Number theory	5.8	proof	—	open
95	Number theory	5.8	proof	—	open
96	Number theory	5.9	proof	—	open
97	Number theory	5.9	proof	—	open
98	Geometry	5.9	proof	—	open
99	Combinatorics	5.9	proof	—	open
100	Geometry	5.9	proof	—	open
101	Geometry	6.0	proof	—	open
102	Algebra	6.0	proof	—	open
103	Algebra	6.0	proof	—	open
104	Combinatorics	6.0	proof	—	open
105	Number theory	6.0	proof	—	open
106	Combinatorics	6.0	proof	—	open
107	Combinatorics	6.0	proof	—	open
108	Combinatorics	6.0	proof	—	open
109	Combinatorics	6.0	proof	—	open
110	Combinatorics	6.0	proof	—	open
111	Number theory	6.0	proof	—	open
112	Combinatorics	6.0	proof	—	open
113	Number theory	6.0	proof	—	open
114	Combinatorics	6.0	proof	—	open
115	Geometry	6.1	proof	—	open
116	Algebra	6.1	proof	—	open
117	Number theory	6.1	proof	—	open
118	Combinatorics	6.1	proof	—	open
119	Geometry	6.1	proof	—	open
120	Number theory	6.1	proof	—	open
121	Algebra	6.1	proof	—	open
122	Number theory	6.2	proof	—	open
123	Combinatorics	6.2	proof	—	open
124	Algebra	6.2	proof	—	open
125	Geometry	6.2	proof	—	open
126	Algebra	6.2	proof	—	open
127	Number theory	6.2	proof	—	open
128	Number theory	6.2	proof	—	open
129	Combinatorics	6.2	proof	—	open
130	Number theory	6.3	proof	—	open
131	Combinatorics	6.3	proof	—	open
132	Algebra	6.3	proof	—	open
133	Combinatorics	6.3	proof	—	open
134	Combinatorics	6.3	proof	—	open
135	Algebra	6.3	proof	—	open
136	Geometry	6.3	proof	—	open
137	Combinatorics	6.3	proof	—	open
138	Number theory	6.3	proof	—	open
139	Algebra	6.4	proof	—	open
140	Algebra	6.4	proof	—	open
141	Geometry	6.4	proof	—	open
142	Combinatorics	6.4	proof	—	open
143	Combinatorics	6.4	proof	—	open
144	Number theory	6.4	proof	—	open
145	Number theory	6.5	proof	—	open
146	Combinatorics	6.5	proof	—	open
147	Combinatorics	6.5	proof	—	open
148	Combinatorics	6.5	proof	—	open
149	Number theory	6.5	proof	—	open
150	Combinatorics	6.5	proof	—	open
151	Algebra	6.5	proof	—	open
152	Number theory	6.5	proof	—	open
153	Algebra	6.5	proof	—	open
154	Combinatorics	6.5	proof	—	open
155	Number theory	6.5	proof	—	open
156	Combinatorics	6.6	proof	—	open
157	Number theory	6.6	proof	—	open
158	Algebra	6.6	proof	—	open
159	Combinatorics	6.6	proof	—	open
160	Algebra	6.6	proof	—	open
161	Geometry	6.6	proof	—	open
162	Combinatorics	6.6	proof	—	open
163	Combinatorics	6.7	proof	—	open
164	Combinatorics	6.7	proof	—	open
165	Combinatorics	6.7	proof	—	open
166	Geometry	6.7	proof	—	open
167	Geometry	6.7	proof	—	open
168	Geometry	6.8	proof	—	open
169	Combinatorics	6.8	proof	—	open
170	Geometry	6.8	proof	—	open
171	Combinatorics	6.8	proof	—	open
172	Algebra	6.8	proof	—	open
173	Geometry	6.8	proof	—	open
174	Combinatorics	6.8	proof	—	open
175	Geometry	6.9	proof	—	open
176	Combinatorics	7.0	proof	—	open
177	Geometry	7.0	proof	—	open
178	Geometry	7.0	proof	—	open
179	Combinatorics	7.1	proof	—	open
180	Algebra	7.1	proof	—	open
181	Combinatorics	7.2	proof	—	open
182	Algebra	7.2	proof	—	open
183	Geometry	7.3	proof	—	open
184	Combinatorics	7.3	proof	—	open
185	Number theory	7.3	proof	—	open
186	Algebra	7.4	proof	—	open
187	Combinatorics	7.4	proof	—	open
188	Combinatorics	7.4	proof	—	open
189	Combinatorics	7.4	proof	—	open
190	Number theory	7.5	proof	—	open
191	Number theory	7.5	proof	—	open
192	Number theory	7.5	proof	—	open
193	Geometry	7.7	proof	—	open
194	Combinatorics	7.7	proof	—	open
195	Geometry	7.7	proof	—	open
196	Combinatorics	7.8	proof	—	open
197	Number theory	7.8	proof	—	open
198	Combinatorics	7.8	proof	—	open
199	Combinatorics	7.8	proof	—	open
200	Combinatorics	7.9	proof	—	open
201	Combinatorics	8.0	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.