Library /Belarus — Selection and Training Session

Belarus — Selection and Training Session

78 problems here, rated 4.5 to 7.6 on our scale (AIME to National Olympiad, round 2). 78 of them ask for a proof.

Algebra 20Combinatorics 14Geometry 32Number theory 12

#	Topic	Diff	Type	Year
1	Geometry	4.5	proof	—	open
2	Geometry	4.5	proof	—	open
3	Algebra	4.5	proof	—	open
4	Geometry	4.6	proof	—	open
5	Number theory	4.6	proof	—	open
6	Algebra	4.7	proof	—	open
7	Geometry	4.7	proof	—	open
8	Algebra	4.8	proof	—	open
9	Algebra	4.8	proof	—	open
10	Geometry	4.9	proof	—	open
11	Algebra	4.9	proof	—	open
12	Algebra	4.9	proof	—	open
13	Algebra	5.0	proof	—	open
14	Algebra	5.1	proof	—	open
15	Combinatorics	5.1	proof	—	open
16	Number theory	5.1	proof	—	open
17	Number theory	5.1	proof	—	open
18	Algebra	5.1	proof	—	open
19	Algebra	5.1	proof	—	open
20	Geometry	5.1	proof	—	open
21	Geometry	5.1	proof	—	open
22	Combinatorics	5.1	proof	—	open
23	Geometry	5.2	proof	—	open
24	Geometry	5.2	proof	—	open
25	Combinatorics	5.2	proof	—	open
26	Geometry	5.2	proof	—	open
27	Algebra	5.3	proof	—	open
28	Number theory	5.3	proof	—	open
29	Combinatorics	5.3	proof	—	open
30	Geometry	5.4	proof	—	open
31	Geometry	5.4	proof	—	open
32	Geometry	5.4	proof	—	open
33	Number theory	5.5	proof	—	open
34	Algebra	5.5	proof	—	open
35	Geometry	5.5	proof	—	open
36	Geometry	5.5	proof	—	open
37	Algebra	5.5	proof	—	open
38	Geometry	5.5	proof	—	open
39	Combinatorics	5.5	proof	—	open
40	Number theory	5.5	proof	—	open
41	Combinatorics	5.6	proof	—	open
42	Algebra	5.6	proof	—	open
43	Algebra	5.6	proof	—	open
44	Algebra	5.6	proof	—	open
45	Number theory	5.6	proof	—	open
46	Combinatorics	5.6	proof	—	open
47	Geometry	5.6	proof	—	open
48	Algebra	5.7	proof	—	open
49	Number theory	5.7	proof	—	open
50	Number theory	5.7	proof	—	open
51	Geometry	5.8	proof	—	open
52	Number theory	5.8	proof	—	open
53	Algebra	5.9	proof	—	open
54	Geometry	5.9	proof	—	open
55	Combinatorics	5.9	proof	—	open
56	Geometry	6.0	proof	—	open
57	Geometry	6.0	proof	—	open
58	Geometry	6.0	proof	—	open
59	Geometry	6.0	proof	—	open
60	Geometry	6.1	proof	—	open
61	Geometry	6.1	proof	—	open
62	Geometry	6.1	proof	—	open
63	Algebra	6.2	proof	—	open
64	Combinatorics	6.2	proof	—	open
65	Combinatorics	6.3	proof	—	open
66	Geometry	6.3	proof	—	open
67	Algebra	6.4	proof	—	open
68	Number theory	6.4	proof	—	open
69	Combinatorics	6.6	proof	—	open
70	Geometry	6.7	proof	—	open
71	Geometry	6.7	proof	—	open
72	Geometry	6.8	proof	—	open
73	Number theory	6.8	proof	—	open
74	Combinatorics	6.8	proof	—	open
75	Combinatorics	6.9	proof	—	open
76	Combinatorics	6.9	proof	—	open
77	Geometry	7.0	proof	—	open
78	Geometry	7.6	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.