Library /China National Team Selection Test

China National Team Selection Test

48 problems here, rated 7.5 to 9.3 on our scale (National Olympiad, round 2 to IMO level). 48 of them ask for a proof.

Algebra 14Combinatorics 11Geometry 12Number theory 11

#	Topic	Diff	Type	Year
1	Geometry	7.5	proof	—	open
2	Geometry	7.6	proof	—	open
3	Algebra	7.6	proof	—	open
4	Combinatorics	7.8	proof	—	open
5	Number theory	7.9	proof	—	open
6	Number theory	8.1	proof	—	open
7	Number theory	8.2	proof	—	open
8	Algebra	8.2	proof	—	open
9	Number theory	8.2	proof	—	open
10	Number theory	8.2	proof	—	open
11	Geometry	8.2	proof	—	open
12	Algebra	8.2	proof	—	open
13	Combinatorics	8.3	proof	—	open
14	Number theory	8.3	proof	—	open
15	Geometry	8.3	proof	—	open
16	Number theory	8.3	proof	—	open
17	Geometry	8.3	proof	—	open
18	Number theory	8.4	proof	—	open
19	Number theory	8.4	proof	—	open
20	Geometry	8.4	proof	—	open
21	Combinatorics	8.4	proof	—	open
22	Number theory	8.5	proof	—	open
23	Algebra	8.5	proof	—	open
24	Algebra	8.5	proof	—	open
25	Algebra	8.5	proof	—	open
26	Geometry	8.5	proof	—	open
27	Algebra	8.5	proof	—	open
28	Combinatorics	8.5	proof	—	open
29	Geometry	8.5	proof	—	open
30	Geometry	8.6	proof	—	open
31	Algebra	8.6	proof	—	open
32	Geometry	8.7	proof	—	open
33	Algebra	8.8	proof	—	open
34	Combinatorics	8.8	proof	—	open
35	Algebra	8.8	proof	—	open
36	Combinatorics	8.9	proof	—	open
37	Geometry	8.9	proof	—	open
38	Number theory	8.9	proof	—	open
39	Algebra	8.9	proof	—	open
40	Algebra	8.9	proof	—	open
41	Algebra	8.9	proof	—	open
42	Geometry	8.9	proof	—	open
43	Algebra	9.0	proof	—	open
44	Combinatorics	9.0	proof	—	open
45	Combinatorics	9.0	proof	—	open
46	Combinatorics	9.0	proof	—	open
47	Combinatorics	9.1	proof	—	open
48	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.