Maths Olympiad Prep

Library /Taiwan IMO Selection Camp

Taiwan IMO Selection Camp

397 problems here, rated 4.4 to 7.7 on our scale (AIME to National Olympiad, round 2). 396 of them ask for a proof. Years covered: 2018–2023.

Algebra 118Combinatorics 87Geometry 129Number theory 63
#TopicDiffTypeYear
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 answer — open
25 Combinatorics 4.7 proof — open
26 Number theory 4.7 proof — open
27 Algebra 4.7 proof — open
28 Combinatorics 4.7 proof 2018 open
29 Number theory 4.7 proof 2022 open
30 Algebra 4.8 proof — open
31 Combinatorics 4.8 proof — open
32 Combinatorics 4.8 proof — open
33 Geometry 4.8 proof — open
34 Algebra 4.9 proof — open
35 Number theory 4.9 proof — open
36 Geometry 4.9 proof — open
37 Combinatorics 4.9 proof 2021 open
38 Geometry 4.9 proof 2022 open
39 Number theory 4.9 proof — open
40 Algebra 4.9 proof — open
41 Combinatorics 4.9 proof — open
42 Combinatorics 4.9 proof 2018 open
43 Geometry 4.9 proof — open
44 Combinatorics 4.9 proof — open
45 Algebra 4.9 proof — open
46 Algebra 4.9 proof — open
47 Geometry 4.9 proof — open
48 Algebra 5.0 proof — open
49 Combinatorics 5.0 proof 2023 open
50 Geometry 5.0 proof — open
51 Combinatorics 5.0 proof 2022 open
52 Algebra 5.0 proof — open
53 Geometry 5.0 proof — open
54 Combinatorics 5.0 proof — open
55 Combinatorics 5.0 proof — open
56 Number theory 5.0 proof — open
57 Combinatorics 5.1 proof — open
58 Number theory 5.1 proof 2018 open
59 Number theory 5.1 proof — open
60 Geometry 5.1 proof — open
61 Number theory 5.1 proof — open
62 Geometry 5.1 proof — open
63 Geometry 5.1 proof — open
64 Geometry 5.1 proof — open
65 Geometry 5.1 proof — open
66 Algebra 5.1 proof — open
67 Geometry 5.1 proof 2022 open
68 Combinatorics 5.1 proof 2022 open
69 Algebra 5.1 proof — open
70 Geometry 5.1 proof — open
71 Geometry 5.1 proof 2022 open
72 Combinatorics 5.1 proof 2023 open
73 Number theory 5.1 proof — open
74 Geometry 5.1 proof — open
75 Geometry 5.2 proof 2018 open
76 Geometry 5.2 proof 2021 open
77 Geometry 5.2 proof 2022 open
78 Geometry 5.2 proof — open
79 Geometry 5.2 proof 2022 open
80 Algebra 5.2 proof — open
81 Number theory 5.2 proof — open
82 Algebra 5.2 proof — open
83 Algebra 5.2 proof — open
84 Algebra 5.2 proof — open
85 Combinatorics 5.2 proof 2022 open
86 Geometry 5.2 proof — open
87 Combinatorics 5.2 proof — open
88 Combinatorics 5.2 proof — open
89 Geometry 5.2 proof — open
90 Algebra 5.2 proof — open
91 Geometry 5.2 proof — open
92 Geometry 5.2 proof — open
93 Algebra 5.2 proof 2021 open
94 Geometry 5.2 proof — open
95 Algebra 5.2 proof — open
96 Geometry 5.3 proof — open
97 Geometry 5.3 proof 2023 open
98 Combinatorics 5.3 proof — open
99 Algebra 5.3 proof — open
100 Geometry 5.3 proof — open
101 Algebra 5.3 proof — open
102 Algebra 5.3 proof 2018 open
103 Algebra 5.3 proof 2022 open
104 Algebra 5.3 proof — open
105 Algebra 5.3 proof — open
106 Geometry 5.3 proof 2022 open
107 Algebra 5.3 proof — open
108 Number theory 5.4 proof — open
109 Algebra 5.4 proof — open
110 Algebra 5.4 proof — open
111 Algebra 5.4 proof — open
112 Number theory 5.4 proof — open
113 Number theory 5.4 proof — open
114 Number theory 5.4 proof — open
115 Algebra 5.4 proof — open
116 Geometry 5.4 proof — open
117 Algebra 5.4 proof — open
118 Algebra 5.4 proof — open
119 Combinatorics 5.4 proof 2022 open
120 Combinatorics 5.4 proof — open
121 Algebra 5.4 proof — open
122 Geometry 5.4 proof — open
123 Number theory 5.4 proof — open
124 Number theory 5.4 proof — open
125 Geometry 5.4 proof — open
126 Geometry 5.4 proof — open
127 Geometry 5.4 proof — open
128 Algebra 5.4 proof 2023 open
129 Algebra 5.4 proof — open
130 Combinatorics 5.4 proof — open
131 Algebra 5.5 proof — open
132 Geometry 5.5 proof — open
133 Geometry 5.5 proof — open
134 Algebra 5.5 proof — open
135 Number theory 5.5 proof — open
136 Combinatorics 5.5 proof — open
137 Combinatorics 5.5 proof — open
138 Algebra 5.5 proof — open
139 Geometry 5.5 proof — open
140 Algebra 5.5 proof — open
141 Algebra 5.5 proof — open
142 Combinatorics 5.5 proof — open
143 Algebra 5.5 proof — open
144 Algebra 5.5 proof — open
145 Algebra 5.5 proof — open
146 Algebra 5.5 proof — open
147 Algebra 5.5 proof — open
148 Geometry 5.6 proof — open
149 Geometry 5.6 proof — open
150 Algebra 5.6 proof — open
151 Geometry 5.6 proof — open
152 Geometry 5.6 proof 2022 open
153 Number theory 5.6 proof — open
154 Geometry 5.6 proof — open
155 Algebra 5.6 proof — open
156 Number theory 5.6 proof — open
157 Algebra 5.6 proof 2023 open
158 Algebra 5.6 proof — open
159 Algebra 5.6 proof — open
160 Number theory 5.6 proof — open
161 Algebra 5.6 proof — open
162 Number theory 5.6 proof — open
163 Combinatorics 5.6 proof 2022 open
164 Number theory 5.6 proof — open
165 Combinatorics 5.6 proof — open
166 Number theory 5.6 proof — open
167 Number theory 5.6 proof 2022 open
168 Geometry 5.6 proof — open
169 Number theory 5.6 proof 2021 open
170 Combinatorics 5.6 proof — open
171 Algebra 5.6 proof — open
172 Geometry 5.7 proof 2023 open
173 Combinatorics 5.7 proof — open
174 Geometry 5.7 proof 2022 open
175 Combinatorics 5.7 proof — open
176 Combinatorics 5.7 proof 2022 open
177 Combinatorics 5.7 proof — open
178 Combinatorics 5.7 proof — open
179 Algebra 5.7 proof 2023 open
180 Combinatorics 5.7 proof — open
181 Number theory 5.7 proof — open
182 Geometry 5.7 proof — open
183 Algebra 5.7 proof — open
184 Number theory 5.7 proof 2021 open
185 Combinatorics 5.8 proof — open
186 Geometry 5.8 proof 2022 open
187 Combinatorics 5.8 proof 2021 open
188 Geometry 5.8 proof — open
189 Geometry 5.8 proof — open
190 Combinatorics 5.8 proof — open
191 Number theory 5.8 proof — open
192 Geometry 5.8 proof 2022 open
193 Algebra 5.8 proof 2021 open
194 Algebra 5.8 proof — open
195 Algebra 5.8 proof 2023 open
196 Algebra 5.8 proof — open
197 Algebra 5.8 proof — open
198 Algebra 5.8 proof — open
199 Geometry 5.8 proof — open
200 Number theory 5.8 proof — open
201 Algebra 5.9 proof — open
202 Combinatorics 5.9 proof — open
203 Number theory 5.9 proof 2023 open
204 Geometry 5.9 proof — open
205 Geometry 5.9 proof 2022 open
206 Geometry 5.9 proof — open
207 Algebra 5.9 proof — open
208 Number theory 5.9 proof — open
209 Algebra 5.9 proof — open
210 Number theory 5.9 proof — open
211 Number theory 5.9 proof 2022 open
212 Combinatorics 5.9 proof 2022 open
213 Combinatorics 6.0 proof — open
214 Combinatorics 6.0 proof — open
215 Number theory 6.0 proof — open
216 Algebra 6.0 proof 2023 open
217 Algebra 6.0 proof — open
218 Algebra 6.0 proof — open
219 Combinatorics 6.0 proof — open
220 Number theory 6.0 proof 2022 open
221 Algebra 6.0 proof 2022 open
222 Algebra 6.0 proof 2021 open
223 Geometry 6.0 proof — open
224 Combinatorics 6.0 proof — open
225 Number theory 6.0 proof 2021 open
226 Number theory 6.0 proof 2023 open
227 Geometry 6.0 proof — open
228 Algebra 6.0 proof — open
229 Number theory 6.1 proof — open
230 Algebra 6.1 proof — open
231 Combinatorics 6.1 proof 2021 open
232 Algebra 6.1 proof 2022 open
233 Algebra 6.1 proof — open
234 Geometry 6.1 proof — open
235 Algebra 6.1 proof — open
236 Combinatorics 6.1 proof 2023 open
237 Geometry 6.1 proof 2021 open
238 Algebra 6.1 proof — open
239 Geometry 6.1 proof — open
240 Algebra 6.1 proof — open
241 Combinatorics 6.2 proof 2021 open
242 Geometry 6.2 proof — open
243 Geometry 6.2 proof — open
244 Geometry 6.2 proof — open
245 Combinatorics 6.2 proof 2023 open
246 Geometry 6.2 proof 2023 open
247 Combinatorics 6.2 proof — open
248 Geometry 6.2 proof — open
249 Geometry 6.2 proof 2022 open
250 Algebra 6.2 proof 2023 open
251 Geometry 6.2 proof — open
252 Combinatorics 6.2 proof 2021 open
253 Geometry 6.2 proof 2018 open
254 Number theory 6.2 proof 2023 open
255 Algebra 6.2 proof 2023 open
256 Geometry 6.2 proof — open
257 Combinatorics 6.2 proof 2022 open
258 Algebra 6.2 proof — open
259 Geometry 6.2 proof — open
260 Number theory 6.3 proof 2018 open
261 Geometry 6.3 proof — open
262 Geometry 6.3 proof — open
263 Algebra 6.3 proof — open
264 Combinatorics 6.3 proof — open
265 Number theory 6.3 proof — open
266 Geometry 6.3 proof — open
267 Algebra 6.3 proof 2023 open
268 Geometry 6.3 proof 2023 open
269 Algebra 6.3 proof — open
270 Algebra 6.3 proof — open
271 Combinatorics 6.3 proof 2021 open
272 Combinatorics 6.4 proof — open
273 Combinatorics 6.4 proof 2023 open
274 Geometry 6.4 proof 2021 open
275 Geometry 6.4 proof 2022 open
276 Geometry 6.4 proof 2021 open
277 Algebra 6.4 proof 2022 open
278 Algebra 6.4 proof — open
279 Geometry 6.4 proof 2021 open
280 Combinatorics 6.4 proof — open
281 Geometry 6.5 proof — open
282 Combinatorics 6.5 proof — open
283 Number theory 6.5 proof 2021 open
284 Algebra 6.5 proof — open
285 Geometry 6.5 proof — open
286 Number theory 6.5 proof 2021 open
287 Geometry 6.5 proof 2023 open
288 Geometry 6.5 proof 2023 open
289 Geometry 6.5 proof 2023 open
290 Algebra 6.5 proof 2021 open
291 Geometry 6.5 proof 2021 open
292 Geometry 6.5 proof 2021 open
293 Algebra 6.5 proof — open
294 Combinatorics 6.5 proof 2023 open
295 Geometry 6.5 proof — open
296 Geometry 6.5 proof — open
297 Combinatorics 6.5 proof 2023 open
298 Number theory 6.6 proof — open
299 Geometry 6.6 proof — open
300 Geometry 6.6 proof — open
301 Algebra 6.6 proof — open
302 Algebra 6.6 proof 2022 open
303 Number theory 6.6 proof — open
304 Geometry 6.6 proof — open
305 Combinatorics 6.6 proof 2023 open
306 Algebra 6.6 proof — open
307 Algebra 6.6 proof 2023 open
308 Combinatorics 6.7 proof — open
309 Number theory 6.7 proof — open
310 Combinatorics 6.7 proof 2023 open
311 Combinatorics 6.7 proof 2021 open
312 Combinatorics 6.7 proof 2021 open
313 Algebra 6.7 proof — open
314 Number theory 6.7 proof — open
315 Geometry 6.7 proof — open
316 Geometry 6.7 proof 2021 open
317 Combinatorics 6.7 proof — open
318 Number theory 6.7 proof — open
319 Algebra 6.7 proof 2022 open
320 Number theory 6.7 proof — open
321 Geometry 6.7 proof — open
322 Geometry 6.7 proof 2023 open
323 Combinatorics 6.7 proof — open
324 Combinatorics 6.7 proof — open
325 Combinatorics 6.8 proof — open
326 Geometry 6.8 proof 2021 open
327 Algebra 6.8 proof — open
328 Algebra 6.8 proof — open
329 Number theory 6.8 proof 2022 open
330 Geometry 6.8 proof — open
331 Algebra 6.8 proof 2021 open
332 Number theory 6.8 proof — open
333 Geometry 6.8 proof 2021 open
334 Algebra 6.8 proof — open
335 Combinatorics 6.8 proof — open
336 Algebra 6.8 proof 2023 open
337 Combinatorics 6.8 proof 2023 open
338 Algebra 6.8 proof — open
339 Number theory 6.9 proof 2023 open
340 Geometry 6.9 proof 2021 open
341 Combinatorics 6.9 proof 2021 open
342 Geometry 6.9 proof — open
343 Geometry 6.9 proof — open
344 Geometry 6.9 proof — open
345 Number theory 6.9 proof 2022 open
346 Combinatorics 6.9 proof 2023 open
347 Number theory 6.9 proof 2022 open
348 Combinatorics 6.9 proof — open
349 Geometry 6.9 proof — open
350 Geometry 6.9 proof — open
351 Algebra 6.9 proof 2021 open
352 Combinatorics 7.0 proof 2022 open
353 Number theory 7.0 proof 2022 open
354 Algebra 7.0 proof — open
355 Algebra 7.0 proof — open
356 Combinatorics 7.0 proof — open
357 Combinatorics 7.0 proof — open
358 Number theory 7.0 proof — open
359 Combinatorics 7.0 proof — open
360 Algebra 7.0 proof — open
361 Algebra 7.0 proof — open
362 Algebra 7.0 proof 2023 open
363 Combinatorics 7.0 proof — open
364 Algebra 7.0 proof — open
365 Number theory 7.1 proof 2021 open
366 Algebra 7.1 proof — open
367 Number theory 7.1 proof 2021 open
368 Geometry 7.1 proof 2021 open
369 Algebra 7.1 proof — open
370 Number theory 7.1 proof 2022 open
371 Combinatorics 7.1 proof — open
372 Number theory 7.2 proof — open
373 Geometry 7.2 proof 2021 open
374 Geometry 7.2 proof 2023 open
375 Combinatorics 7.2 proof — open
376 Geometry 7.2 proof 2021 open
377 Algebra 7.2 proof 2018 open
378 Combinatorics 7.3 proof — open
379 Algebra 7.3 proof 2023 open
380 Geometry 7.3 proof 2018 open
381 Algebra 7.3 proof — open
382 Algebra 7.3 proof 2022 open
383 Geometry 7.3 proof 2023 open
384 Combinatorics 7.3 proof — open
385 Algebra 7.3 proof — open
386 Algebra 7.3 proof 2021 open
387 Number theory 7.4 proof 2021 open
388 Geometry 7.4 proof 2018 open
389 Geometry 7.4 proof 2023 open
390 Geometry 7.4 proof — open
391 Geometry 7.4 proof 2021 open
392 Combinatorics 7.5 proof — open
393 Algebra 7.5 proof 2023 open
394 Combinatorics 7.5 proof — open
395 Algebra 7.6 proof — open
396 Algebra 7.6 proof 2018 open
397 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.