Library /Taiwan IMO Selection Camp

Taiwan IMO Selection Camp

359 problems here, rated 4.4 to 7.7 on our scale (AIME to National Olympiad, round 2). 359 of them ask for a proof. Years covered: 2018–2023.

Algebra 109Combinatorics 75Geometry 122Number theory 53

#	Topic	Diff	Type	Year
1	Combinatorics	4.4	proof	—	open
2	Geometry	4.4	proof	—	open
3	Geometry	4.4	proof	—	open
4	Combinatorics	4.4	proof	—	open
5	Geometry	4.4	proof	2022	open
6	Geometry	4.4	proof	2021	open
7	Geometry	4.4	proof	—	open
8	Geometry	4.5	proof	—	open
9	Geometry	4.5	proof	—	open
10	Geometry	4.5	proof	—	open
11	Algebra	4.5	proof	—	open
12	Geometry	4.5	proof	—	open
13	Geometry	4.5	proof	—	open
14	Number theory	4.5	proof	2023	open
15	Geometry	4.5	proof	—	open
16	Geometry	4.5	proof	—	open
17	Geometry	4.5	proof	—	open
18	Geometry	4.6	proof	—	open
19	Number theory	4.6	proof	—	open
20	Algebra	4.6	proof	—	open
21	Algebra	4.6	proof	—	open
22	Geometry	4.6	proof	—	open
23	Geometry	4.6	proof	—	open
24	Combinatorics	4.7	proof	—	open
25	Number theory	4.7	proof	—	open
26	Algebra	4.7	proof	—	open
27	Combinatorics	4.7	proof	2018	open
28	Number theory	4.7	proof	2022	open
29	Algebra	4.8	proof	—	open
30	Combinatorics	4.8	proof	—	open
31	Combinatorics	4.8	proof	—	open
32	Geometry	4.8	proof	—	open
33	Algebra	4.9	proof	—	open
34	Number theory	4.9	proof	—	open
35	Geometry	4.9	proof	—	open
36	Geometry	4.9	proof	2022	open
37	Number theory	4.9	proof	—	open
38	Algebra	4.9	proof	—	open
39	Combinatorics	4.9	proof	2018	open
40	Geometry	4.9	proof	—	open
41	Algebra	4.9	proof	—	open
42	Geometry	4.9	proof	—	open
43	Algebra	5.0	proof	—	open
44	Geometry	5.0	proof	—	open
45	Combinatorics	5.0	proof	2022	open
46	Algebra	5.0	proof	—	open
47	Geometry	5.0	proof	—	open
48	Combinatorics	5.0	proof	—	open
49	Combinatorics	5.1	proof	—	open
50	Number theory	5.1	proof	2018	open
51	Number theory	5.1	proof	—	open
52	Geometry	5.1	proof	—	open
53	Number theory	5.1	proof	—	open
54	Geometry	5.1	proof	—	open
55	Geometry	5.1	proof	—	open
56	Geometry	5.1	proof	—	open
57	Geometry	5.1	proof	—	open
58	Geometry	5.1	proof	2022	open
59	Algebra	5.1	proof	—	open
60	Geometry	5.1	proof	—	open
61	Geometry	5.1	proof	2022	open
62	Combinatorics	5.1	proof	2023	open
63	Number theory	5.1	proof	—	open
64	Geometry	5.1	proof	—	open
65	Geometry	5.2	proof	2018	open
66	Geometry	5.2	proof	2021	open
67	Geometry	5.2	proof	2022	open
68	Geometry	5.2	proof	—	open
69	Geometry	5.2	proof	2022	open
70	Algebra	5.2	proof	—	open
71	Number theory	5.2	proof	—	open
72	Algebra	5.2	proof	—	open
73	Algebra	5.2	proof	—	open
74	Algebra	5.2	proof	—	open
75	Combinatorics	5.2	proof	2022	open
76	Geometry	5.2	proof	—	open
77	Combinatorics	5.2	proof	—	open
78	Combinatorics	5.2	proof	—	open
79	Geometry	5.2	proof	—	open
80	Algebra	5.2	proof	—	open
81	Geometry	5.2	proof	—	open
82	Geometry	5.2	proof	—	open
83	Algebra	5.2	proof	2021	open
84	Geometry	5.2	proof	—	open
85	Algebra	5.2	proof	—	open
86	Geometry	5.3	proof	—	open
87	Geometry	5.3	proof	2023	open
88	Combinatorics	5.3	proof	—	open
89	Algebra	5.3	proof	—	open
90	Algebra	5.3	proof	—	open
91	Algebra	5.3	proof	2018	open
92	Algebra	5.3	proof	2022	open
93	Algebra	5.3	proof	—	open
94	Algebra	5.3	proof	—	open
95	Geometry	5.3	proof	2022	open
96	Algebra	5.3	proof	—	open
97	Number theory	5.4	proof	—	open
98	Algebra	5.4	proof	—	open
99	Algebra	5.4	proof	—	open
100	Algebra	5.4	proof	—	open
101	Number theory	5.4	proof	—	open
102	Number theory	5.4	proof	—	open
103	Number theory	5.4	proof	—	open
104	Algebra	5.4	proof	—	open
105	Geometry	5.4	proof	—	open
106	Algebra	5.4	proof	—	open
107	Algebra	5.4	proof	—	open
108	Combinatorics	5.4	proof	2022	open
109	Combinatorics	5.4	proof	—	open
110	Algebra	5.4	proof	—	open
111	Geometry	5.4	proof	—	open
112	Number theory	5.4	proof	—	open
113	Geometry	5.4	proof	—	open
114	Geometry	5.4	proof	—	open
115	Geometry	5.4	proof	—	open
116	Algebra	5.4	proof	2023	open
117	Algebra	5.4	proof	—	open
118	Combinatorics	5.4	proof	—	open
119	Algebra	5.5	proof	—	open
120	Geometry	5.5	proof	—	open
121	Geometry	5.5	proof	—	open
122	Algebra	5.5	proof	—	open
123	Number theory	5.5	proof	—	open
124	Combinatorics	5.5	proof	—	open
125	Combinatorics	5.5	proof	—	open
126	Algebra	5.5	proof	—	open
127	Geometry	5.5	proof	—	open
128	Algebra	5.5	proof	—	open
129	Algebra	5.5	proof	—	open
130	Combinatorics	5.5	proof	—	open
131	Algebra	5.5	proof	—	open
132	Algebra	5.5	proof	—	open
133	Algebra	5.5	proof	—	open
134	Algebra	5.5	proof	—	open
135	Algebra	5.5	proof	—	open
136	Geometry	5.6	proof	—	open
137	Geometry	5.6	proof	—	open
138	Algebra	5.6	proof	—	open
139	Geometry	5.6	proof	—	open
140	Geometry	5.6	proof	2022	open
141	Number theory	5.6	proof	—	open
142	Algebra	5.6	proof	—	open
143	Number theory	5.6	proof	—	open
144	Algebra	5.6	proof	2023	open
145	Algebra	5.6	proof	—	open
146	Algebra	5.6	proof	—	open
147	Number theory	5.6	proof	—	open
148	Algebra	5.6	proof	—	open
149	Number theory	5.6	proof	—	open
150	Combinatorics	5.6	proof	2022	open
151	Combinatorics	5.6	proof	—	open
152	Number theory	5.6	proof	—	open
153	Number theory	5.6	proof	2022	open
154	Geometry	5.6	proof	—	open
155	Number theory	5.6	proof	2021	open
156	Combinatorics	5.6	proof	—	open
157	Algebra	5.6	proof	—	open
158	Geometry	5.7	proof	2023	open
159	Combinatorics	5.7	proof	—	open
160	Geometry	5.7	proof	2022	open
161	Combinatorics	5.7	proof	—	open
162	Combinatorics	5.7	proof	2022	open
163	Combinatorics	5.7	proof	—	open
164	Combinatorics	5.7	proof	—	open
165	Algebra	5.7	proof	2023	open
166	Combinatorics	5.7	proof	—	open
167	Number theory	5.7	proof	—	open
168	Algebra	5.7	proof	—	open
169	Number theory	5.7	proof	2021	open
170	Combinatorics	5.8	proof	—	open
171	Geometry	5.8	proof	2022	open
172	Combinatorics	5.8	proof	2021	open
173	Geometry	5.8	proof	—	open
174	Geometry	5.8	proof	—	open
175	Combinatorics	5.8	proof	—	open
176	Number theory	5.8	proof	—	open
177	Geometry	5.8	proof	2022	open
178	Algebra	5.8	proof	2021	open
179	Algebra	5.8	proof	—	open
180	Algebra	5.8	proof	2023	open
181	Algebra	5.8	proof	—	open
182	Algebra	5.8	proof	—	open
183	Geometry	5.8	proof	—	open
184	Number theory	5.8	proof	—	open
185	Algebra	5.9	proof	—	open
186	Combinatorics	5.9	proof	—	open
187	Number theory	5.9	proof	2023	open
188	Geometry	5.9	proof	—	open
189	Geometry	5.9	proof	2022	open
190	Geometry	5.9	proof	—	open
191	Algebra	5.9	proof	—	open
192	Number theory	5.9	proof	—	open
193	Algebra	5.9	proof	—	open
194	Number theory	5.9	proof	—	open
195	Number theory	5.9	proof	2022	open
196	Combinatorics	5.9	proof	2022	open
197	Combinatorics	6.0	proof	—	open
198	Number theory	6.0	proof	—	open
199	Algebra	6.0	proof	2023	open
200	Algebra	6.0	proof	—	open
201	Algebra	6.0	proof	—	open
202	Combinatorics	6.0	proof	—	open
203	Number theory	6.0	proof	2022	open
204	Algebra	6.0	proof	2022	open
205	Geometry	6.0	proof	—	open
206	Combinatorics	6.0	proof	—	open
207	Number theory	6.0	proof	2021	open
208	Number theory	6.0	proof	2023	open
209	Geometry	6.0	proof	—	open
210	Algebra	6.0	proof	—	open
211	Number theory	6.1	proof	—	open
212	Combinatorics	6.1	proof	2021	open
213	Algebra	6.1	proof	2022	open
214	Algebra	6.1	proof	—	open
215	Geometry	6.1	proof	—	open
216	Algebra	6.1	proof	—	open
217	Combinatorics	6.1	proof	2023	open
218	Geometry	6.1	proof	2021	open
219	Algebra	6.1	proof	—	open
220	Geometry	6.1	proof	—	open
221	Algebra	6.1	proof	—	open
222	Geometry	6.2	proof	—	open
223	Geometry	6.2	proof	—	open
224	Geometry	6.2	proof	—	open
225	Combinatorics	6.2	proof	2023	open
226	Geometry	6.2	proof	2023	open
227	Combinatorics	6.2	proof	—	open
228	Geometry	6.2	proof	—	open
229	Geometry	6.2	proof	2022	open
230	Algebra	6.2	proof	2023	open
231	Geometry	6.2	proof	—	open
232	Combinatorics	6.2	proof	2021	open
233	Geometry	6.2	proof	2018	open
234	Number theory	6.2	proof	2023	open
235	Geometry	6.2	proof	—	open
236	Combinatorics	6.2	proof	2022	open
237	Algebra	6.2	proof	—	open
238	Geometry	6.2	proof	—	open
239	Geometry	6.3	proof	—	open
240	Geometry	6.3	proof	—	open
241	Algebra	6.3	proof	—	open
242	Combinatorics	6.3	proof	—	open
243	Number theory	6.3	proof	—	open
244	Geometry	6.3	proof	—	open
245	Algebra	6.3	proof	2023	open
246	Geometry	6.3	proof	2023	open
247	Algebra	6.3	proof	—	open
248	Algebra	6.3	proof	—	open
249	Combinatorics	6.3	proof	2021	open
250	Combinatorics	6.4	proof	—	open
251	Geometry	6.4	proof	2021	open
252	Geometry	6.4	proof	2022	open
253	Geometry	6.4	proof	2021	open
254	Algebra	6.4	proof	—	open
255	Geometry	6.4	proof	2021	open
256	Combinatorics	6.4	proof	—	open
257	Geometry	6.5	proof	—	open
258	Combinatorics	6.5	proof	—	open
259	Number theory	6.5	proof	2021	open
260	Algebra	6.5	proof	—	open
261	Geometry	6.5	proof	—	open
262	Number theory	6.5	proof	2021	open
263	Geometry	6.5	proof	2023	open
264	Geometry	6.5	proof	2023	open
265	Algebra	6.5	proof	2021	open
266	Geometry	6.5	proof	2021	open
267	Geometry	6.5	proof	2021	open
268	Algebra	6.5	proof	—	open
269	Combinatorics	6.5	proof	2023	open
270	Geometry	6.5	proof	—	open
271	Geometry	6.5	proof	—	open
272	Combinatorics	6.5	proof	2023	open
273	Number theory	6.6	proof	—	open
274	Geometry	6.6	proof	—	open
275	Algebra	6.6	proof	—	open
276	Algebra	6.6	proof	2022	open
277	Number theory	6.6	proof	—	open
278	Geometry	6.6	proof	—	open
279	Combinatorics	6.6	proof	2023	open
280	Algebra	6.6	proof	—	open
281	Combinatorics	6.7	proof	—	open
282	Combinatorics	6.7	proof	2023	open
283	Combinatorics	6.7	proof	2021	open
284	Algebra	6.7	proof	—	open
285	Number theory	6.7	proof	—	open
286	Geometry	6.7	proof	—	open
287	Geometry	6.7	proof	2021	open
288	Combinatorics	6.7	proof	—	open
289	Number theory	6.7	proof	—	open
290	Algebra	6.7	proof	2022	open
291	Number theory	6.7	proof	—	open
292	Geometry	6.7	proof	—	open
293	Geometry	6.7	proof	2023	open
294	Combinatorics	6.7	proof	—	open
295	Combinatorics	6.8	proof	—	open
296	Geometry	6.8	proof	2021	open
297	Algebra	6.8	proof	—	open
298	Algebra	6.8	proof	—	open
299	Number theory	6.8	proof	2022	open
300	Geometry	6.8	proof	—	open
301	Algebra	6.8	proof	2021	open
302	Number theory	6.8	proof	—	open
303	Geometry	6.8	proof	2021	open
304	Algebra	6.8	proof	—	open
305	Combinatorics	6.8	proof	—	open
306	Combinatorics	6.8	proof	2023	open
307	Algebra	6.8	proof	—	open
308	Number theory	6.9	proof	2023	open
309	Geometry	6.9	proof	2021	open
310	Combinatorics	6.9	proof	2021	open
311	Geometry	6.9	proof	—	open
312	Geometry	6.9	proof	—	open
313	Geometry	6.9	proof	—	open
314	Number theory	6.9	proof	2022	open
315	Combinatorics	6.9	proof	2023	open
316	Number theory	6.9	proof	2022	open
317	Combinatorics	6.9	proof	—	open
318	Geometry	6.9	proof	—	open
319	Geometry	6.9	proof	—	open
320	Algebra	6.9	proof	2021	open
321	Combinatorics	7.0	proof	2022	open
322	Algebra	7.0	proof	—	open
323	Algebra	7.0	proof	—	open
324	Combinatorics	7.0	proof	—	open
325	Combinatorics	7.0	proof	—	open
326	Combinatorics	7.0	proof	—	open
327	Algebra	7.0	proof	—	open
328	Algebra	7.0	proof	—	open
329	Algebra	7.0	proof	2023	open
330	Combinatorics	7.0	proof	—	open
331	Algebra	7.0	proof	—	open
332	Number theory	7.1	proof	2021	open
333	Algebra	7.1	proof	—	open
334	Geometry	7.1	proof	2021	open
335	Algebra	7.1	proof	—	open
336	Number theory	7.1	proof	2022	open
337	Combinatorics	7.1	proof	—	open
338	Geometry	7.2	proof	2021	open
339	Combinatorics	7.2	proof	—	open
340	Geometry	7.2	proof	2021	open
341	Algebra	7.2	proof	2018	open
342	Combinatorics	7.3	proof	—	open
343	Algebra	7.3	proof	2023	open
344	Geometry	7.3	proof	2018	open
345	Algebra	7.3	proof	—	open
346	Algebra	7.3	proof	2022	open
347	Geometry	7.3	proof	2023	open
348	Combinatorics	7.3	proof	—	open
349	Algebra	7.3	proof	—	open
350	Algebra	7.3	proof	2021	open
351	Geometry	7.4	proof	2018	open
352	Geometry	7.4	proof	2023	open
353	Geometry	7.4	proof	—	open
354	Combinatorics	7.5	proof	—	open
355	Algebra	7.5	proof	2023	open
356	Combinatorics	7.5	proof	—	open
357	Algebra	7.6	proof	—	open
358	Algebra	7.6	proof	2018	open
359	Combinatorics	7.7	proof	2018	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.