Library /Selection Examination

Selection Examination

68 problems here, rated 4.7 to 7.3 on our scale (AIME to National olympiad, round 2). 68 of them ask for a proof.

Algebra 19Combinatorics 14Geometry 21Number theory 14

#	Topic	Diff	Type	Year
1	Geometry	4.5	proof	—	open
2	Geometry	4.7	proof	—	open
3	Algebra	4.7	proof	—	open
4	Number theory	4.7	proof	—	open
5	Algebra	4.7	proof	—	open
6	Algebra	5.0	proof	—	open
7	Geometry	5.0	proof	—	open
8	Number theory	5.1	proof	—	open
9	Geometry	5.1	proof	—	open
10	Combinatorics	5.1	proof	—	open
11	Algebra	5.1	proof	—	open
12	Geometry	5.2	proof	2019	open
13	Geometry	5.3	proof	—	open
14	Algebra	5.3	proof	—	open
15	Number theory	5.3	proof	—	open
16	Geometry	5.3	proof	—	open
17	Combinatorics	5.4	proof	—	open
18	Number theory	5.4	proof	—	open
19	Geometry	5.5	proof	—	open
20	Geometry	5.5	proof	—	open
21	Algebra	5.5	proof	2019	open
22	Number theory	5.5	proof	—	open
23	Number theory	5.6	proof	—	open
24	Number theory	5.6	proof	—	open
25	Combinatorics	5.7	proof	—	open
26	Number theory	5.7	proof	—	open
27	Number theory	5.7	proof	—	open
28	Number theory	5.8	proof	2019	open
29	Algebra	5.9	proof	—	open
30	Number theory	5.9	proof	—	open
31	Algebra	5.9	proof	—	open
32	Algebra	6.0	proof	—	open
33	Combinatorics	6.0	proof	—	open
34	Algebra	6.0	proof	—	open
35	Algebra	6.0	proof	2019	open
36	Number theory	6.0	proof	—	open
37	Number theory	6.0	proof	2019	open
38	Algebra	6.0	proof	—	open
39	Geometry	6.1	proof	—	open
40	Algebra	6.1	proof	—	open
41	Geometry	6.2	proof	—	open
42	Algebra	6.2	proof	—	open
43	Geometry	6.2	proof	—	open
44	Algebra	6.3	proof	—	open
45	Geometry	6.4	proof	—	open
46	Number theory	6.4	proof	—	open
47	Combinatorics	6.4	proof	—	open
48	Geometry	6.5	proof	—	open
49	Geometry	6.5	proof	2019	open
50	Geometry	6.5	proof	—	open
51	Algebra	6.5	proof	—	open
52	Geometry	6.5	proof	—	open
53	Combinatorics	6.6	proof	—	open
54	Algebra	6.6	proof	—	open
55	Geometry	6.6	proof	—	open
56	Combinatorics	6.7	proof	—	open
57	Combinatorics	6.8	proof	2019	open
58	Geometry	6.9	proof	—	open
59	Combinatorics	7.0	proof	—	open
60	Combinatorics	7.0	proof	—	open
61	Algebra	7.0	proof	2019	open
62	Combinatorics	7.1	proof	—	open
63	Geometry	7.2	proof	—	open
64	Geometry	7.3	proof	—	open
65	Algebra	7.3	proof	—	open
66	Combinatorics	7.3	proof	—	open
67	Combinatorics	7.8	proof	—	open
68	Combinatorics	7.8	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.