Library /Croatian Mathematical Competitions

Croatian Mathematical Competitions

106 problems here, rated 4.4 to 7.8 on our scale (AIME to National Olympiad, round 2). 105 of them ask for a proof.

Algebra 37Combinatorics 14Geometry 25Number theory 30

#	Topic	Diff	Type	Year
1	Geometry	4.4	proof	—	open
2	Number theory	4.4	proof	—	open
3	Algebra	4.4	proof	—	open
4	Geometry	4.5	proof	—	open
5	Geometry	4.5	proof	—	open
6	Algebra	4.5	proof	—	open
7	Algebra	4.5	proof	—	open
8	Algebra	4.5	proof	—	open
9	Number theory	4.5	proof	—	open
10	Algebra	4.5	proof	—	open
11	Geometry	4.5	proof	—	open
12	Algebra	4.6	proof	—	open
13	Number theory	4.6	proof	—	open
14	Number theory	4.6	proof	—	open
15	Geometry	4.7	proof	—	open
16	Algebra	4.7	proof	—	open
17	Algebra	4.8	proof	—	open
18	Combinatorics	4.8	proof	—	open
19	Algebra	4.8	proof	—	open
20	Geometry	4.9	proof	—	open
21	Algebra	4.9	proof	—	open
22	Number theory	4.9	proof	—	open
23	Number theory	4.9	proof	—	open
24	Number theory	4.9	proof	—	open
25	Algebra	5.0	proof	—	open
26	Algebra	5.0	proof	—	open
27	Algebra	5.1	proof	—	open
28	Geometry	5.1	proof	—	open
29	Combinatorics	5.1	proof	—	open
30	Geometry	5.2	proof	—	open
31	Algebra	5.2	proof	—	open
32	Geometry	5.2	proof	—	open
33	Algebra	5.2	proof	—	open
34	Algebra	5.2	proof	—	open
35	Algebra	5.2	proof	—	open
36	Algebra	5.2	proof	—	open
37	Number theory	5.2	proof	—	open
38	Number theory	5.3	proof	—	open
39	Combinatorics	5.3	proof	—	open
40	Combinatorics	5.3	proof	—	open
41	Algebra	5.3	proof	—	open
42	Number theory	5.3	proof	—	open
43	Number theory	5.3	proof	—	open
44	Number theory	5.3	proof	—	open
45	Algebra	5.4	proof	—	open
46	Number theory	5.4	proof	—	open
47	Geometry	5.4	proof	—	open
48	Number theory	5.4	proof	—	open
49	Algebra	5.4	proof	—	open
50	Number theory	5.4	proof	—	open
51	Algebra	5.5	answer	—	open
52	Combinatorics	5.5	proof	—	open
53	Geometry	5.5	proof	—	open
54	Combinatorics	5.5	proof	—	open
55	Number theory	5.6	proof	—	open
56	Geometry	5.6	proof	—	open
57	Geometry	5.6	proof	—	open
58	Number theory	5.6	proof	—	open
59	Number theory	5.6	proof	—	open
60	Number theory	5.6	proof	—	open
61	Algebra	5.6	proof	—	open
62	Algebra	5.6	proof	—	open
63	Algebra	5.6	proof	—	open
64	Number theory	5.6	proof	—	open
65	Algebra	5.6	proof	—	open
66	Combinatorics	5.7	proof	—	open
67	Number theory	5.7	proof	—	open
68	Geometry	5.7	proof	—	open
69	Number theory	5.7	proof	—	open
70	Number theory	5.7	proof	—	open
71	Number theory	5.7	proof	—	open
72	Geometry	5.7	proof	—	open
73	Number theory	5.7	proof	—	open
74	Number theory	5.7	proof	—	open
75	Number theory	5.7	proof	—	open
76	Number theory	5.7	proof	—	open
77	Algebra	5.8	proof	—	open
78	Geometry	5.8	proof	—	open
79	Geometry	5.9	proof	—	open
80	Algebra	5.9	proof	—	open
81	Algebra	5.9	proof	—	open
82	Number theory	6.0	proof	—	open
83	Geometry	6.1	proof	—	open
84	Geometry	6.1	proof	—	open
85	Geometry	6.1	proof	—	open
86	Geometry	6.2	proof	—	open
87	Number theory	6.2	proof	—	open
88	Geometry	6.2	proof	—	open
89	Combinatorics	6.2	proof	—	open
90	Combinatorics	6.3	proof	—	open
91	Algebra	6.3	proof	—	open
92	Algebra	6.3	proof	—	open
93	Geometry	6.3	proof	—	open
94	Algebra	6.5	proof	—	open
95	Combinatorics	6.6	proof	—	open
96	Algebra	6.6	proof	—	open
97	Algebra	6.6	proof	—	open
98	Geometry	6.7	proof	—	open
99	Combinatorics	6.8	proof	—	open
100	Algebra	6.9	proof	—	open
101	Algebra	7.2	proof	—	open
102	Geometry	7.3	proof	—	open
103	Algebra	7.4	proof	—	open
104	Combinatorics	7.7	proof	—	open
105	Combinatorics	7.8	proof	—	open
106	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.