Library /United States — Team Selection Test

United States — Team Selection Test

45 problems here, rated 7.3 to 9.3 on our scale (National Olympiad, round 2 to IMO level). 45 of them ask for a proof. Years covered: 2009–2010.

Algebra 7Combinatorics 13Geometry 15Number theory 10

#	Topic	Diff	Type	Year
1	Algebra	7.3	proof	—	open
2	Algebra	7.4	proof	—	open
3	Geometry	7.4	proof	2010	open
4	Geometry	7.5	proof	2009	open
5	Combinatorics	7.8	proof	2010	open
6	Algebra	8.0	proof	2009	open
7	Number theory	8.1	proof	2009	open
8	Algebra	8.2	proof	—	open
9	Combinatorics	8.2	proof	—	open
10	Number theory	8.2	proof	—	open
11	Number theory	8.3	proof	—	open
12	Geometry	8.3	proof	—	open
13	Geometry	8.4	proof	—	open
14	Combinatorics	8.4	proof	—	open
15	Geometry	8.4	proof	—	open
16	Combinatorics	8.4	proof	—	open
17	Geometry	8.4	proof	—	open
18	Geometry	8.4	proof	—	open
19	Geometry	8.4	proof	—	open
20	Combinatorics	8.4	proof	—	open
21	Number theory	8.5	proof	2010	open
22	Number theory	8.5	proof	2010	open
23	Geometry	8.5	proof	2010	open
24	Combinatorics	8.5	proof	2010	open
25	Combinatorics	8.6	proof	—	open
26	Algebra	8.6	proof	2009	open
27	Geometry	8.6	proof	2010	open
28	Geometry	8.6	proof	—	open
29	Algebra	8.7	proof	—	open
30	Combinatorics	8.7	proof	2009	open
31	Combinatorics	8.7	proof	2009	open
32	Geometry	8.7	proof	—	open
33	Geometry	8.8	proof	—	open
34	Geometry	8.8	proof	2009	open
35	Geometry	8.9	proof	—	open
36	Number theory	8.9	proof	—	open
37	Number theory	8.9	proof	2009	open
38	Combinatorics	9.0	proof	—	open
39	Number theory	9.0	proof	—	open
40	Algebra	9.1	proof	—	open
41	Combinatorics	9.1	proof	—	open
42	Combinatorics	9.1	proof	—	open
43	Number theory	9.1	proof	—	open
44	Number theory	9.2	proof	2010	open
45	Combinatorics	9.3	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.