Library /Ukrainian National Mathematical Olympiad

Ukrainian National Mathematical Olympiad

189 problems here, rated 4.4 to 7.9 on our scale (AIME to National Olympiad, round 2). 186 of them ask for a proof.

Algebra 44Combinatorics 44Geometry 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	Geometry	4.7	proof	—	open
6	Algebra	4.8	proof	—	open
7	Geometry	4.8	proof	—	open
8	Algebra	4.8	proof	—	open
9	Algebra	4.8	proof	—	open
10	Geometry	4.8	proof	—	open
11	Algebra	4.8	proof	—	open
12	Geometry	4.8	proof	—	open
13	Number theory	4.9	proof	—	open
14	Geometry	4.9	proof	—	open
15	Geometry	4.9	proof	—	open
16	Algebra	4.9	proof	—	open
17	Algebra	4.9	proof	—	open
18	Geometry	5.0	proof	—	open
19	Geometry	5.0	proof	—	open
20	Geometry	5.0	proof	—	open
21	Geometry	5.0	proof	—	open
22	Algebra	5.0	answer	—	open
23	Geometry	5.0	proof	—	open
24	Algebra	5.0	proof	—	open
25	Algebra	5.1	proof	—	open
26	Geometry	5.1	proof	—	open
27	Geometry	5.1	proof	—	open
28	Algebra	5.1	proof	—	open
29	Number theory	5.1	proof	—	open
30	Combinatorics	5.1	proof	—	open
31	Geometry	5.1	proof	—	open
32	Geometry	5.1	proof	—	open
33	Geometry	5.1	proof	—	open
34	Number theory	5.1	proof	—	open
35	Algebra	5.2	proof	—	open
36	Number theory	5.2	proof	—	open
37	Geometry	5.2	proof	—	open
38	Geometry	5.2	proof	—	open
39	Algebra	5.2	proof	—	open
40	Geometry	5.2	proof	—	open
41	Algebra	5.2	proof	—	open
42	Number theory	5.2	proof	—	open
43	Number theory	5.2	proof	—	open
44	Number theory	5.2	proof	—	open
45	Algebra	5.2	proof	—	open
46	Combinatorics	5.2	proof	—	open
47	Geometry	5.2	proof	—	open
48	Combinatorics	5.2	proof	—	open
49	Geometry	5.2	proof	—	open
50	Algebra	5.3	proof	—	open
51	Algebra	5.3	proof	—	open
52	Number theory	5.3	proof	—	open
53	Algebra	5.3	proof	—	open
54	Combinatorics	5.3	proof	—	open
55	Combinatorics	5.3	proof	—	open
56	Algebra	5.3	proof	—	open
57	Number theory	5.4	proof	—	open
58	Algebra	5.4	proof	—	open
59	Number theory	5.4	proof	—	open
60	Number theory	5.4	proof	—	open
61	Number theory	5.4	proof	—	open
62	Number theory	5.4	proof	—	open
63	Algebra	5.4	proof	—	open
64	Geometry	5.4	proof	—	open
65	Algebra	5.5	proof	—	open
66	Geometry	5.5	proof	—	open
67	Number theory	5.5	proof	—	open
68	Number theory	5.5	proof	—	open
69	Geometry	5.5	proof	—	open
70	Geometry	5.5	proof	—	open
71	Geometry	5.5	proof	—	open
72	Combinatorics	5.6	proof	—	open
73	Geometry	5.6	proof	—	open
74	Algebra	5.6	proof	—	open
75	Number theory	5.6	proof	—	open
76	Geometry	5.6	proof	—	open
77	Algebra	5.6	proof	—	open
78	Geometry	5.6	proof	—	open
79	Geometry	5.6	proof	—	open
80	Number theory	5.7	proof	—	open
81	Number theory	5.7	proof	—	open
82	Number theory	5.7	proof	—	open
83	Algebra	5.7	proof	—	open
84	Geometry	5.7	proof	—	open
85	Algebra	5.7	proof	—	open
86	Number theory	5.7	proof	—	open
87	Number theory	5.7	proof	—	open
88	Geometry	5.7	proof	—	open
89	Number theory	5.7	proof	—	open
90	Number theory	5.7	proof	—	open
91	Number theory	5.7	proof	—	open
92	Number theory	5.7	proof	—	open
93	Number theory	5.8	proof	—	open
94	Number theory	5.8	proof	—	open
95	Geometry	5.8	proof	—	open
96	Algebra	5.8	proof	—	open
97	Combinatorics	5.8	proof	—	open
98	Combinatorics	5.8	proof	—	open
99	Geometry	5.8	proof	—	open
100	Number theory	5.8	proof	—	open
101	Number theory	5.8	proof	—	open
102	Number theory	5.9	proof	—	open
103	Number theory	5.9	proof	—	open
104	Geometry	5.9	proof	—	open
105	Geometry	5.9	proof	—	open
106	Combinatorics	5.9	proof	—	open
107	Geometry	5.9	proof	—	open
108	Algebra	6.0	proof	—	open
109	Algebra	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	Combinatorics	6.0	proof	—	open
116	Combinatorics	6.0	proof	—	open
117	Number theory	6.0	proof	—	open
118	Geometry	6.1	proof	—	open
119	Algebra	6.1	proof	—	open
120	Number theory	6.1	proof	—	open
121	Combinatorics	6.2	proof	—	open
122	Algebra	6.2	proof	—	open
123	Geometry	6.2	proof	—	open
124	Algebra	6.2	proof	—	open
125	Number theory	6.2	proof	—	open
126	Number theory	6.2	proof	—	open
127	Combinatorics	6.2	proof	—	open
128	Number theory	6.3	proof	—	open
129	Combinatorics	6.3	proof	—	open
130	Geometry	6.3	proof	—	open
131	Combinatorics	6.3	proof	—	open
132	Combinatorics	6.3	proof	—	open
133	Geometry	6.3	proof	—	open
134	Combinatorics	6.3	proof	—	open
135	Number theory	6.3	proof	—	open
136	Algebra	6.4	proof	—	open
137	Combinatorics	6.4	proof	—	open
138	Combinatorics	6.4	proof	—	open
139	Number theory	6.4	proof	—	open
140	Number theory	6.4	proof	—	open
141	Number theory	6.5	proof	—	open
142	Combinatorics	6.5	proof	—	open
143	Combinatorics	6.5	proof	—	open
144	Number theory	6.5	proof	—	open
145	Combinatorics	6.5	proof	—	open
146	Number theory	6.5	proof	—	open
147	Algebra	6.5	proof	—	open
148	Algebra	6.5	proof	—	open
149	Combinatorics	6.5	proof	—	open
150	Number theory	6.5	proof	—	open
151	Algebra	6.6	proof	—	open
152	Number theory	6.6	proof	—	open
153	Algebra	6.6	proof	—	open
154	Combinatorics	6.6	proof	—	open
155	Algebra	6.6	proof	—	open
156	Geometry	6.6	proof	—	open
157	Combinatorics	6.7	proof	—	open
158	Combinatorics	6.7	proof	—	open
159	Combinatorics	6.7	proof	—	open
160	Geometry	6.7	proof	—	open
161	Combinatorics	6.7	proof	—	open
162	Geometry	6.7	proof	—	open
163	Geometry	6.8	proof	—	open
164	Combinatorics	6.8	proof	—	open
165	Algebra	6.8	proof	—	open
166	Geometry	6.8	proof	—	open
167	Combinatorics	6.8	proof	—	open
168	Geometry	6.9	proof	—	open
169	Geometry	6.9	proof	—	open
170	Combinatorics	7.0	proof	—	open
171	Geometry	7.0	proof	—	open
172	Geometry	7.0	proof	—	open
173	Combinatorics	7.1	proof	—	open
174	Algebra	7.2	proof	—	open
175	Geometry	7.3	proof	—	open
176	Combinatorics	7.3	proof	—	open
177	Number theory	7.3	proof	—	open
178	Algebra	7.4	proof	—	open
179	Combinatorics	7.4	proof	—	open
180	Combinatorics	7.4	proof	—	open
181	Combinatorics	7.4	proof	—	open
182	Number theory	7.5	proof	—	open
183	Number theory	7.5	proof	—	open
184	Combinatorics	7.7	proof	—	open
185	Geometry	7.7	proof	—	open
186	Combinatorics	7.8	proof	—	open
187	Combinatorics	7.8	proof	—	open
188	Combinatorics	7.8	proof	—	open
189	Combinatorics	7.9	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.