Library /Iranian Mathematical Olympiad

Iranian Mathematical Olympiad

270 problems here, rated 4.8 to 8 on our scale (AIME to Shortlist). 270 of them ask for a proof.

Algebra 78Combinatorics 53Geometry 94Number theory 45

#	Topic	Diff	Type	Year
1	Geometry	4.8	proof	—	open
2	Combinatorics	4.9	proof	—	open
3	Geometry	4.9	proof	—	open
4	Algebra	5.0	proof	—	open
5	Algebra	5.1	proof	—	open
6	Number theory	5.1	proof	—	open
7	Geometry	5.1	proof	—	open
8	Algebra	5.1	proof	—	open
9	Number theory	5.1	proof	—	open
10	Algebra	5.2	proof	—	open
11	Geometry	5.4	proof	—	open
12	Combinatorics	5.4	proof	—	open
13	Algebra	5.4	proof	—	open
14	Number theory	5.4	proof	—	open
15	Geometry	5.4	proof	—	open
16	Geometry	5.4	proof	—	open
17	Geometry	5.5	proof	—	open
18	Geometry	5.5	proof	—	open
19	Geometry	5.5	proof	—	open
20	Geometry	5.5	proof	—	open
21	Geometry	5.5	proof	—	open
22	Geometry	5.6	proof	—	open
23	Geometry	5.6	proof	—	open
24	Geometry	5.6	proof	—	open
25	Algebra	5.6	proof	—	open
26	Geometry	5.6	proof	—	open
27	Geometry	5.7	proof	—	open
28	Number theory	5.7	proof	—	open
29	Geometry	5.7	proof	—	open
30	Algebra	5.7	proof	—	open
31	Geometry	5.7	proof	—	open
32	Algebra	5.7	proof	—	open
33	Number theory	5.7	proof	—	open
34	Algebra	5.7	proof	—	open
35	Geometry	5.7	proof	—	open
36	Combinatorics	5.7	proof	—	open
37	Geometry	5.8	proof	—	open
38	Geometry	5.8	proof	—	open
39	Algebra	5.8	proof	—	open
40	Number theory	5.8	proof	—	open
41	Algebra	5.8	proof	—	open
42	Algebra	5.8	proof	—	open
43	Geometry	5.8	proof	—	open
44	Number theory	5.8	proof	—	open
45	Algebra	5.8	proof	—	open
46	Combinatorics	5.8	proof	—	open
47	Algebra	5.8	proof	—	open
48	Geometry	5.8	proof	—	open
49	Algebra	5.9	proof	—	open
50	Geometry	5.9	proof	—	open
51	Geometry	5.9	proof	—	open
52	Combinatorics	5.9	proof	—	open
53	Algebra	5.9	proof	—	open
54	Geometry	5.9	proof	—	open
55	Combinatorics	5.9	proof	—	open
56	Number theory	5.9	proof	—	open
57	Algebra	5.9	proof	—	open
58	Number theory	5.9	proof	—	open
59	Combinatorics	5.9	proof	—	open
60	Number theory	6.0	proof	—	open
61	Combinatorics	6.0	proof	—	open
62	Algebra	6.0	proof	—	open
63	Combinatorics	6.0	proof	—	open
64	Number theory	6.0	proof	—	open
65	Algebra	6.0	proof	—	open
66	Algebra	6.0	proof	—	open
67	Algebra	6.0	proof	—	open
68	Algebra	6.0	proof	—	open
69	Algebra	6.0	proof	—	open
70	Number theory	6.1	proof	—	open
71	Geometry	6.1	proof	—	open
72	Algebra	6.1	proof	—	open
73	Combinatorics	6.1	proof	—	open
74	Number theory	6.1	proof	—	open
75	Geometry	6.1	proof	—	open
76	Algebra	6.1	proof	—	open
77	Combinatorics	6.2	proof	—	open
78	Number theory	6.2	proof	—	open
79	Algebra	6.2	proof	—	open
80	Geometry	6.2	proof	—	open
81	Number theory	6.2	proof	—	open
82	Algebra	6.2	proof	—	open
83	Geometry	6.2	proof	—	open
84	Combinatorics	6.2	proof	—	open
85	Geometry	6.2	proof	—	open
86	Algebra	6.2	proof	—	open
87	Geometry	6.2	proof	—	open
88	Combinatorics	6.2	proof	—	open
89	Geometry	6.2	proof	—	open
90	Combinatorics	6.2	proof	—	open
91	Combinatorics	6.2	proof	—	open
92	Number theory	6.2	proof	—	open
93	Number theory	6.2	proof	—	open
94	Geometry	6.3	proof	—	open
95	Geometry	6.3	proof	—	open
96	Geometry	6.3	proof	—	open
97	Geometry	6.3	proof	—	open
98	Number theory	6.3	proof	—	open
99	Algebra	6.3	proof	—	open
100	Algebra	6.3	proof	—	open
101	Combinatorics	6.3	proof	—	open
102	Algebra	6.3	proof	—	open
103	Algebra	6.3	proof	—	open
104	Combinatorics	6.3	proof	—	open
105	Geometry	6.3	proof	—	open
106	Algebra	6.3	proof	—	open
107	Algebra	6.3	proof	—	open
108	Number theory	6.3	proof	—	open
109	Algebra	6.3	proof	—	open
110	Number theory	6.3	proof	—	open
111	Geometry	6.3	proof	—	open
112	Geometry	6.3	proof	—	open
113	Algebra	6.4	proof	—	open
114	Algebra	6.4	proof	—	open
115	Geometry	6.4	proof	—	open
116	Algebra	6.4	proof	—	open
117	Combinatorics	6.4	proof	—	open
118	Geometry	6.4	proof	—	open
119	Geometry	6.4	proof	—	open
120	Geometry	6.4	proof	—	open
121	Geometry	6.4	proof	—	open
122	Number theory	6.4	proof	—	open
123	Geometry	6.4	proof	—	open
124	Number theory	6.4	proof	—	open
125	Algebra	6.4	proof	—	open
126	Geometry	6.4	proof	—	open
127	Algebra	6.4	proof	—	open
128	Geometry	6.4	proof	—	open
129	Algebra	6.4	proof	—	open
130	Combinatorics	6.5	proof	—	open
131	Algebra	6.5	proof	—	open
132	Geometry	6.5	proof	—	open
133	Combinatorics	6.5	proof	—	open
134	Combinatorics	6.5	proof	—	open
135	Geometry	6.5	proof	—	open
136	Algebra	6.5	proof	—	open
137	Combinatorics	6.5	proof	—	open
138	Combinatorics	6.5	proof	—	open
139	Geometry	6.5	proof	—	open
140	Algebra	6.5	proof	—	open
141	Geometry	6.5	proof	—	open
142	Geometry	6.5	proof	—	open
143	Geometry	6.5	proof	—	open
144	Geometry	6.5	proof	—	open
145	Combinatorics	6.6	proof	—	open
146	Combinatorics	6.6	proof	—	open
147	Combinatorics	6.6	proof	—	open
148	Algebra	6.6	proof	—	open
149	Number theory	6.6	proof	—	open
150	Algebra	6.6	proof	—	open
151	Number theory	6.6	proof	—	open
152	Geometry	6.6	proof	—	open
153	Number theory	6.6	proof	—	open
154	Combinatorics	6.6	proof	—	open
155	Number theory	6.7	proof	—	open
156	Geometry	6.7	proof	—	open
157	Number theory	6.7	proof	—	open
158	Algebra	6.7	proof	—	open
159	Combinatorics	6.7	proof	—	open
160	Algebra	6.7	proof	—	open
161	Algebra	6.7	proof	—	open
162	Combinatorics	6.7	proof	—	open
163	Geometry	6.7	proof	—	open
164	Number theory	6.7	proof	—	open
165	Algebra	6.7	proof	—	open
166	Number theory	6.7	proof	—	open
167	Geometry	6.7	proof	—	open
168	Geometry	6.7	proof	—	open
169	Number theory	6.7	proof	—	open
170	Algebra	6.8	proof	—	open
171	Geometry	6.8	proof	—	open
172	Algebra	6.8	proof	—	open
173	Geometry	6.8	proof	—	open
174	Geometry	6.8	proof	—	open
175	Number theory	6.8	proof	—	open
176	Algebra	6.8	proof	—	open
177	Geometry	6.8	proof	—	open
178	Combinatorics	6.8	proof	—	open
179	Algebra	6.8	proof	—	open
180	Algebra	6.8	proof	—	open
181	Algebra	6.8	proof	—	open
182	Geometry	6.8	proof	—	open
183	Geometry	6.8	proof	—	open
184	Geometry	6.8	proof	—	open
185	Combinatorics	6.8	proof	—	open
186	Combinatorics	6.8	proof	—	open
187	Algebra	6.9	proof	—	open
188	Combinatorics	6.9	proof	—	open
189	Combinatorics	6.9	proof	—	open
190	Number theory	6.9	proof	—	open
191	Geometry	6.9	proof	—	open
192	Geometry	6.9	proof	—	open
193	Number theory	6.9	proof	—	open
194	Geometry	6.9	proof	—	open
195	Algebra	6.9	proof	—	open
196	Combinatorics	6.9	proof	—	open
197	Algebra	6.9	proof	—	open
198	Number theory	7.0	proof	—	open
199	Number theory	7.0	proof	—	open
200	Number theory	7.0	proof	—	open
201	Geometry	7.0	proof	—	open
202	Number theory	7.0	proof	—	open
203	Geometry	7.0	proof	—	open
204	Geometry	7.0	proof	—	open
205	Geometry	7.0	proof	—	open
206	Geometry	7.0	proof	—	open
207	Geometry	7.1	proof	—	open
208	Combinatorics	7.1	proof	—	open
209	Geometry	7.1	proof	—	open
210	Geometry	7.1	proof	—	open
211	Combinatorics	7.1	proof	—	open
212	Algebra	7.1	proof	—	open
213	Geometry	7.1	proof	—	open
214	Combinatorics	7.2	proof	—	open
215	Algebra	7.2	proof	—	open
216	Number theory	7.2	proof	—	open
217	Geometry	7.2	proof	—	open
218	Algebra	7.2	proof	—	open
219	Number theory	7.2	proof	—	open
220	Geometry	7.2	proof	—	open
221	Algebra	7.3	proof	—	open
222	Algebra	7.3	proof	—	open
223	Algebra	7.3	proof	—	open
224	Algebra	7.3	proof	—	open
225	Algebra	7.3	proof	—	open
226	Geometry	7.3	proof	—	open
227	Geometry	7.3	proof	—	open
228	Algebra	7.3	proof	—	open
229	Combinatorics	7.3	proof	—	open
230	Combinatorics	7.3	proof	—	open
231	Number theory	7.3	proof	—	open
232	Geometry	7.3	proof	—	open
233	Number theory	7.3	proof	—	open
234	Combinatorics	7.4	proof	—	open
235	Combinatorics	7.4	proof	—	open
236	Geometry	7.4	proof	—	open
237	Combinatorics	7.4	proof	—	open
238	Combinatorics	7.4	proof	—	open
239	Algebra	7.4	proof	—	open
240	Geometry	7.5	proof	—	open
241	Geometry	7.5	proof	—	open
242	Geometry	7.5	proof	—	open
243	Combinatorics	7.5	proof	—	open
244	Geometry	7.5	proof	—	open
245	Combinatorics	7.5	proof	—	open
246	Number theory	7.5	proof	—	open
247	Number theory	7.6	proof	—	open
248	Geometry	7.6	proof	—	open
249	Algebra	7.6	proof	—	open
250	Algebra	7.6	proof	—	open
251	Combinatorics	7.6	proof	—	open
252	Algebra	7.6	proof	—	open
253	Combinatorics	7.6	proof	—	open
254	Combinatorics	7.6	proof	—	open
255	Number theory	7.6	proof	—	open
256	Number theory	7.6	proof	—	open
257	Geometry	7.6	proof	—	open
258	Combinatorics	7.6	proof	—	open
259	Algebra	7.7	proof	—	open
260	Algebra	7.7	proof	—	open
261	Algebra	7.7	proof	—	open
262	Geometry	7.8	proof	—	open
263	Geometry	7.8	proof	—	open
264	Combinatorics	7.8	proof	—	open
265	Combinatorics	7.8	proof	—	open
266	Combinatorics	7.8	proof	—	open
267	Algebra	7.9	proof	—	open
268	Algebra	7.9	proof	—	open
269	Geometry	7.9	proof	—	open
270	Algebra	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.