Library /Austrian Mathematical Olympiad

Austrian Mathematical Olympiad

84 problems here, rated 4.3 to 7.8 on our scale (AIME to National Olympiad, round 2). 83 of them ask for a proof.

Algebra 20Combinatorics 15Geometry 25Number theory 24

#	Topic	Diff	Type	Year
1	Geometry	4.3	proof	—	open
2	Geometry	4.5	proof	—	open
3	Algebra	4.5	proof	—	open
4	Combinatorics	4.6	proof	—	open
5	Algebra	4.6	proof	—	open
6	Number theory	4.7	proof	—	open
7	Algebra	4.7	proof	—	open
8	Geometry	4.8	proof	—	open
9	Geometry	4.8	proof	—	open
10	Number theory	4.8	proof	—	open
11	Algebra	4.9	proof	—	open
12	Geometry	4.9	proof	—	open
13	Algebra	4.9	proof	—	open
14	Algebra	4.9	proof	—	open
15	Geometry	4.9	proof	—	open
16	Combinatorics	4.9	answer	—	open
17	Algebra	5.0	proof	—	open
18	Number theory	5.0	proof	—	open
19	Geometry	5.0	proof	—	open
20	Number theory	5.0	proof	—	open
21	Number theory	5.0	proof	—	open
22	Geometry	5.1	proof	—	open
23	Number theory	5.1	proof	—	open
24	Geometry	5.1	proof	—	open
25	Geometry	5.2	proof	—	open
26	Combinatorics	5.2	proof	—	open
27	Algebra	5.2	proof	—	open
28	Algebra	5.3	proof	—	open
29	Geometry	5.3	proof	—	open
30	Number theory	5.3	proof	—	open
31	Number theory	5.3	proof	—	open
32	Algebra	5.3	proof	—	open
33	Algebra	5.4	proof	—	open
34	Algebra	5.4	proof	—	open
35	Geometry	5.4	proof	—	open
36	Algebra	5.5	proof	—	open
37	Geometry	5.5	proof	—	open
38	Number theory	5.5	proof	—	open
39	Geometry	5.6	proof	—	open
40	Number theory	5.6	proof	—	open
41	Number theory	5.6	proof	—	open
42	Number theory	5.7	proof	—	open
43	Number theory	5.7	proof	—	open
44	Number theory	5.7	proof	—	open
45	Geometry	5.7	proof	—	open
46	Number theory	5.7	proof	—	open
47	Geometry	5.8	proof	—	open
48	Geometry	5.8	proof	—	open
49	Number theory	5.8	proof	—	open
50	Number theory	5.8	proof	—	open
51	Number theory	5.8	proof	—	open
52	Combinatorics	5.9	proof	—	open
53	Number theory	6.0	proof	—	open
54	Algebra	6.0	proof	—	open
55	Geometry	6.0	proof	—	open
56	Combinatorics	6.1	proof	—	open
57	Number theory	6.1	proof	—	open
58	Combinatorics	6.1	proof	—	open
59	Geometry	6.2	proof	—	open
60	Algebra	6.3	proof	—	open
61	Number theory	6.3	proof	—	open
62	Combinatorics	6.3	proof	—	open
63	Geometry	6.4	proof	—	open
64	Algebra	6.4	proof	—	open
65	Combinatorics	6.5	proof	—	open
66	Geometry	6.5	proof	—	open
67	Geometry	6.5	proof	—	open
68	Geometry	6.5	proof	—	open
69	Algebra	6.6	proof	—	open
70	Algebra	6.6	proof	—	open
71	Combinatorics	6.6	proof	—	open
72	Combinatorics	6.7	proof	—	open
73	Number theory	6.7	proof	—	open
74	Combinatorics	6.7	proof	—	open
75	Algebra	6.7	proof	—	open
76	Combinatorics	6.8	proof	—	open
77	Number theory	6.8	proof	—	open
78	Combinatorics	6.9	proof	—	open
79	Geometry	6.9	proof	—	open
80	Algebra	7.1	proof	—	open
81	Combinatorics	7.1	proof	—	open
82	Combinatorics	7.4	proof	—	open
83	Number theory	7.5	proof	—	open
84	Geometry	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.