Library /Romanian Mathematical Olympiad

Romanian Mathematical Olympiad

275 problems here, rated 4.5 to 7.7 on our scale (AIME to National Olympiad, round 2). 274 of them ask for a proof.

Algebra 133Combinatorics 20Geometry 58Number theory 64

#	Topic	Diff	Type	Year
1	Number theory	4.5	answer	—	open
2	Algebra	4.6	proof	—	open
3	Algebra	4.7	proof	—	open
4	Algebra	4.7	proof	—	open
5	Algebra	4.7	proof	—	open
6	Geometry	4.8	proof	—	open
7	Algebra	4.8	proof	—	open
8	Geometry	4.8	proof	—	open
9	Geometry	4.8	proof	—	open
10	Geometry	4.8	proof	—	open
11	Algebra	4.8	proof	—	open
12	Algebra	4.8	proof	—	open
13	Number theory	4.9	proof	—	open
14	Algebra	4.9	proof	—	open
15	Algebra	4.9	proof	—	open
16	Geometry	4.9	proof	—	open
17	Combinatorics	4.9	proof	—	open
18	Algebra	5.0	proof	—	open
19	Algebra	5.0	proof	—	open
20	Algebra	5.0	proof	—	open
21	Algebra	5.0	proof	—	open
22	Number theory	5.0	proof	—	open
23	Algebra	5.0	proof	—	open
24	Geometry	5.0	proof	—	open
25	Algebra	5.0	proof	—	open
26	Number theory	5.0	proof	—	open
27	Algebra	5.0	proof	—	open
28	Geometry	5.0	proof	—	open
29	Algebra	5.0	proof	—	open
30	Combinatorics	5.0	proof	—	open
31	Algebra	5.0	proof	—	open
32	Algebra	5.0	proof	—	open
33	Algebra	5.0	proof	—	open
34	Algebra	5.0	proof	—	open
35	Number theory	5.0	proof	—	open
36	Number theory	5.0	proof	—	open
37	Algebra	5.0	proof	—	open
38	Algebra	5.1	proof	—	open
39	Number theory	5.1	proof	—	open
40	Algebra	5.1	proof	—	open
41	Geometry	5.1	proof	—	open
42	Algebra	5.1	proof	—	open
43	Number theory	5.1	proof	—	open
44	Algebra	5.1	proof	—	open
45	Number theory	5.1	proof	—	open
46	Number theory	5.1	proof	—	open
47	Number theory	5.1	proof	—	open
48	Geometry	5.1	proof	—	open
49	Algebra	5.1	proof	—	open
50	Geometry	5.1	proof	—	open
51	Algebra	5.1	proof	—	open
52	Geometry	5.1	proof	—	open
53	Algebra	5.1	proof	—	open
54	Algebra	5.1	proof	—	open
55	Number theory	5.1	proof	—	open
56	Number theory	5.1	proof	—	open
57	Number theory	5.1	proof	—	open
58	Algebra	5.2	proof	—	open
59	Geometry	5.2	proof	—	open
60	Number theory	5.2	proof	—	open
61	Algebra	5.2	proof	—	open
62	Algebra	5.2	proof	—	open
63	Algebra	5.2	proof	—	open
64	Number theory	5.2	proof	—	open
65	Geometry	5.2	proof	—	open
66	Number theory	5.2	proof	—	open
67	Algebra	5.2	proof	—	open
68	Combinatorics	5.2	proof	—	open
69	Number theory	5.2	proof	—	open
70	Geometry	5.2	proof	—	open
71	Number theory	5.3	proof	—	open
72	Geometry	5.3	proof	—	open
73	Number theory	5.3	proof	—	open
74	Number theory	5.3	proof	—	open
75	Geometry	5.3	proof	—	open
76	Algebra	5.3	proof	—	open
77	Number theory	5.3	proof	—	open
78	Number theory	5.3	proof	—	open
79	Combinatorics	5.3	proof	—	open
80	Combinatorics	5.3	proof	—	open
81	Algebra	5.3	proof	—	open
82	Algebra	5.3	proof	—	open
83	Algebra	5.3	proof	—	open
84	Combinatorics	5.3	proof	—	open
85	Algebra	5.4	proof	—	open
86	Algebra	5.4	proof	—	open
87	Algebra	5.4	proof	—	open
88	Number theory	5.4	proof	—	open
89	Geometry	5.4	proof	—	open
90	Number theory	5.4	proof	—	open
91	Algebra	5.4	proof	—	open
92	Algebra	5.4	proof	—	open
93	Algebra	5.4	proof	—	open
94	Number theory	5.4	proof	—	open
95	Algebra	5.4	proof	—	open
96	Algebra	5.4	proof	2019	open
97	Number theory	5.4	proof	—	open
98	Number theory	5.4	proof	—	open
99	Algebra	5.4	proof	—	open
100	Number theory	5.4	proof	—	open
101	Algebra	5.4	proof	—	open
102	Algebra	5.4	proof	—	open
103	Number theory	5.5	proof	—	open
104	Geometry	5.5	proof	—	open
105	Number theory	5.5	proof	—	open
106	Geometry	5.5	proof	—	open
107	Algebra	5.5	proof	—	open
108	Geometry	5.5	proof	—	open
109	Combinatorics	5.5	proof	—	open
110	Geometry	5.5	proof	—	open
111	Algebra	5.6	proof	—	open
112	Combinatorics	5.6	proof	—	open
113	Geometry	5.6	proof	—	open
114	Algebra	5.6	proof	—	open
115	Number theory	5.6	proof	—	open
116	Algebra	5.6	proof	—	open
117	Algebra	5.6	proof	—	open
118	Geometry	5.6	proof	—	open
119	Combinatorics	5.6	proof	—	open
120	Algebra	5.6	proof	—	open
121	Algebra	5.6	proof	—	open
122	Algebra	5.6	proof	—	open
123	Number theory	5.6	proof	—	open
124	Algebra	5.6	proof	—	open
125	Algebra	5.7	proof	—	open
126	Geometry	5.7	proof	—	open
127	Number theory	5.7	proof	—	open
128	Algebra	5.7	proof	—	open
129	Number theory	5.7	proof	—	open
130	Algebra	5.7	proof	—	open
131	Geometry	5.7	proof	—	open
132	Number theory	5.7	proof	—	open
133	Algebra	5.7	proof	—	open
134	Algebra	5.7	proof	—	open
135	Geometry	5.7	proof	—	open
136	Algebra	5.7	proof	—	open
137	Algebra	5.7	proof	—	open
138	Algebra	5.7	proof	—	open
139	Number theory	5.7	proof	—	open
140	Number theory	5.7	proof	—	open
141	Combinatorics	5.8	proof	—	open
142	Algebra	5.8	proof	—	open
143	Algebra	5.8	proof	—	open
144	Number theory	5.8	proof	—	open
145	Algebra	5.8	proof	2019	open
146	Number theory	5.8	proof	—	open
147	Combinatorics	5.8	proof	—	open
148	Geometry	5.8	proof	—	open
149	Algebra	5.8	proof	—	open
150	Algebra	5.8	proof	—	open
151	Geometry	5.9	proof	—	open
152	Algebra	5.9	proof	—	open
153	Geometry	5.9	proof	—	open
154	Number theory	5.9	proof	—	open
155	Algebra	5.9	proof	—	open
156	Combinatorics	5.9	proof	—	open
157	Number theory	5.9	proof	—	open
158	Number theory	5.9	proof	—	open
159	Number theory	5.9	proof	—	open
160	Number theory	5.9	proof	—	open
161	Algebra	5.9	proof	—	open
162	Geometry	5.9	proof	—	open
163	Algebra	6.0	proof	—	open
164	Number theory	6.0	proof	—	open
165	Number theory	6.0	proof	—	open
166	Algebra	6.0	proof	—	open
167	Number theory	6.0	proof	—	open
168	Number theory	6.0	proof	—	open
169	Geometry	6.0	proof	—	open
170	Algebra	6.0	proof	—	open
171	Geometry	6.0	proof	—	open
172	Number theory	6.0	proof	—	open
173	Geometry	6.0	proof	—	open
174	Number theory	6.1	proof	—	open
175	Number theory	6.1	proof	—	open
176	Algebra	6.1	proof	—	open
177	Geometry	6.1	proof	—	open
178	Geometry	6.1	proof	—	open
179	Geometry	6.1	proof	—	open
180	Algebra	6.1	proof	—	open
181	Algebra	6.1	proof	—	open
182	Number theory	6.1	proof	—	open
183	Algebra	6.1	proof	—	open
184	Algebra	6.1	proof	—	open
185	Algebra	6.1	proof	—	open
186	Algebra	6.1	proof	—	open
187	Algebra	6.1	proof	—	open
188	Geometry	6.1	proof	—	open
189	Algebra	6.1	proof	—	open
190	Algebra	6.1	proof	—	open
191	Algebra	6.2	proof	—	open
192	Algebra	6.2	proof	—	open
193	Geometry	6.2	proof	—	open
194	Combinatorics	6.2	proof	—	open
195	Number theory	6.2	proof	—	open
196	Algebra	6.2	proof	—	open
197	Geometry	6.2	proof	—	open
198	Algebra	6.2	proof	—	open
199	Algebra	6.2	proof	—	open
200	Algebra	6.2	proof	—	open
201	Number theory	6.3	proof	—	open
202	Algebra	6.3	proof	—	open
203	Combinatorics	6.3	proof	—	open
204	Algebra	6.3	proof	—	open
205	Algebra	6.3	proof	—	open
206	Algebra	6.3	proof	—	open
207	Number theory	6.3	proof	—	open
208	Geometry	6.3	proof	—	open
209	Algebra	6.3	proof	—	open
210	Algebra	6.3	proof	—	open
211	Algebra	6.3	proof	—	open
212	Geometry	6.3	proof	—	open
213	Algebra	6.3	proof	—	open
214	Algebra	6.3	proof	—	open
215	Algebra	6.3	proof	—	open
216	Algebra	6.4	proof	—	open
217	Algebra	6.4	proof	—	open
218	Algebra	6.4	proof	—	open
219	Number theory	6.4	proof	—	open
220	Algebra	6.4	proof	—	open
221	Algebra	6.4	proof	—	open
222	Number theory	6.4	proof	—	open
223	Algebra	6.5	proof	—	open
224	Geometry	6.5	proof	—	open
225	Geometry	6.5	proof	—	open
226	Geometry	6.5	proof	—	open
227	Geometry	6.5	proof	—	open
228	Algebra	6.5	proof	—	open
229	Algebra	6.5	proof	—	open
230	Algebra	6.5	proof	—	open
231	Geometry	6.6	proof	—	open
232	Algebra	6.6	proof	—	open
233	Algebra	6.6	proof	—	open
234	Algebra	6.6	proof	2019	open
235	Geometry	6.6	proof	—	open
236	Algebra	6.7	proof	—	open
237	Combinatorics	6.7	proof	—	open
238	Algebra	6.7	proof	—	open
239	Algebra	6.7	proof	—	open
240	Algebra	6.7	proof	—	open
241	Number theory	6.7	proof	—	open
242	Algebra	6.7	proof	—	open
243	Geometry	6.7	proof	—	open
244	Number theory	6.8	proof	—	open
245	Number theory	6.8	proof	—	open
246	Algebra	6.8	proof	—	open
247	Algebra	6.8	proof	—	open
248	Algebra	6.9	proof	—	open
249	Algebra	6.9	proof	—	open
250	Geometry	6.9	proof	—	open
251	Geometry	7.0	proof	—	open
252	Algebra	7.0	proof	—	open
253	Geometry	7.0	proof	—	open
254	Geometry	7.0	proof	—	open
255	Geometry	7.0	proof	—	open
256	Algebra	7.1	proof	—	open
257	Geometry	7.1	proof	—	open
258	Algebra	7.1	proof	—	open
259	Geometry	7.1	proof	2019	open
260	Number theory	7.2	proof	—	open
261	Combinatorics	7.2	proof	—	open
262	Geometry	7.2	proof	—	open
263	Algebra	7.2	proof	—	open
264	Combinatorics	7.3	proof	—	open
265	Geometry	7.3	proof	—	open
266	Number theory	7.3	proof	—	open
267	Geometry	7.3	proof	—	open
268	Algebra	7.3	proof	—	open
269	Combinatorics	7.4	proof	—	open
270	Combinatorics	7.4	proof	—	open
271	Number theory	7.5	proof	—	open
272	Combinatorics	7.5	proof	—	open
273	Algebra	7.5	proof	—	open
274	Algebra	7.6	proof	—	open
275	Algebra	7.7	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.