Maths Olympiad Prep

Library /Slovenia — National Math Olympiad

Slovenia — National Math Olympiad

59 problems here, rated 3.4 to 7.5 on our scale (AMC 10/12 to National Olympiad, round 2). 47 of them ask for a proof.

Algebra 21Combinatorics 2Geometry 21Number theory 15
#TopicDiffTypeYear
1 Geometry 3.4 answer — open
2 Geometry 3.4 answer 2012 open
3 Algebra 3.6 answer 2012 open
4 Algebra 3.6 answer — open
5 Algebra 3.7 answer 2012 open
6 Algebra 3.8 answer — open
7 Algebra 3.8 answer 2012 open
8 Algebra 3.8 answer 2012 open
9 Algebra 3.9 answer — open
10 Geometry 4.3 answer — open
11 Algebra 4.3 answer 2012 open
12 Geometry 4.4 proof 2012 open
13 Geometry 4.5 proof — open
14 Combinatorics 4.5 proof — open
15 Geometry 4.5 proof 2012 open
16 Algebra 4.5 proof — open
17 Geometry 4.5 proof 2012 open
18 Algebra 4.6 answer 2012 open
19 Algebra 4.6 proof — open
20 Algebra 4.6 proof — open
21 Algebra 4.6 proof — open
22 Number theory 4.6 proof — open
23 Geometry 4.7 proof — open
24 Number theory 4.7 proof 2012 open
25 Geometry 4.8 proof — open
26 Algebra 4.8 proof — open
27 Number theory 4.8 proof — open
28 Algebra 4.8 proof — open
29 Number theory 4.8 proof — open
30 Number theory 4.9 proof — open
31 Algebra 4.9 proof — open
32 Number theory 4.9 proof — open
33 Geometry 5.0 proof — open
34 Algebra 5.0 proof — open
35 Number theory 5.0 proof — open
36 Geometry 5.0 proof — open
37 Number theory 5.1 proof — open
38 Algebra 5.1 proof — open
39 Number theory 5.3 proof — open
40 Algebra 5.3 proof — open
41 Geometry 5.5 proof — open
42 Number theory 5.5 proof — open
43 Geometry 5.6 proof — open
44 Number theory 5.6 proof — open
45 Number theory 5.6 proof — open
46 Algebra 5.6 proof — open
47 Geometry 5.7 proof — open
48 Geometry 5.7 proof — open
49 Algebra 5.8 proof — open
50 Geometry 6.0 proof — open
51 Number theory 6.0 proof — open
52 Geometry 6.1 proof — open
53 Number theory 6.3 proof — open
54 Geometry 6.5 proof — open
55 Geometry 6.7 proof — open
56 Geometry 6.7 proof — open
57 Combinatorics 6.8 proof — open
58 Number theory 6.8 proof — open
59 Geometry 7.5 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.