Maths Olympiad Prep

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Slovenian Mathematical Olympiad

68 problems here, rated 3.5 to 7.8 on our scale (AMC 10/12 to National Olympiad, round 2). 58 of them ask for a proof. Years covered: 2008–2016.

Algebra 24Combinatorics 9Geometry 23Number theory 12
#TopicDiffTypeYear
1 Geometry 3.5 answer 2016 open
2 Geometry 3.6 answer 2016 open
3 Algebra 3.8 answer 2016 open
4 Algebra 3.8 answer 2016 open
5 Algebra 3.9 answer 2016 open
6 Algebra 4.3 answer 2016 open
7 Algebra 4.4 answer 2016 open
8 Geometry 4.5 proof 2008 open
9 Algebra 4.5 proof 2008 open
10 Geometry 4.5 proof 2016 open
11 Algebra 4.6 proof 2016 open
12 Algebra 4.6 answer 2016 open
13 Algebra 4.7 proof 2008 open
14 Number theory 4.7 proof 2016 open
15 Algebra 4.8 proof 2016 open
16 Algebra 4.8 proof 2008 open
17 Algebra 4.8 proof 2008 open
18 Algebra 4.8 proof 2008 open
19 Number theory 5.0 proof 2008 open
20 Number theory 5.0 proof 2008 open
21 Number theory 5.0 proof 2008 open
22 Geometry 5.2 answer 2016 open
23 Number theory 5.2 proof 2008 open
24 Number theory 5.4 proof 2008 open
25 Geometry 5.4 proof 2008 open
26 Geometry 5.4 proof 2008 open
27 Algebra 5.4 proof 2008 open
28 Algebra 5.4 proof 2008 open
29 Algebra 5.5 proof 2008 open
30 Algebra 5.5 proof 2016 open
31 Algebra 5.5 proof 2008 open
32 Algebra 5.5 proof 2008 open
33 Number theory 5.5 proof 2016 open
34 Geometry 5.6 proof 2016 open
35 Geometry 5.6 proof 2008 open
36 Number theory 5.6 proof 2008 open
37 Combinatorics 5.6 answer 2016 open
38 Combinatorics 5.7 proof 2008 open
39 Number theory 5.7 proof 2008 open
40 Geometry 5.7 proof 2008 open
41 Geometry 5.7 proof 2008 open
42 Geometry 5.7 proof 2008 open
43 Algebra 5.8 proof 2016 open
44 Geometry 5.8 proof 2008 open
45 Geometry 5.8 proof 2016 open
46 Geometry 5.8 proof 2016 open
47 Geometry 5.9 proof 2008 open
48 Algebra 5.9 proof 2008 open
49 Algebra 5.9 proof 2016 open
50 Combinatorics 6.0 proof 2008 open
51 Number theory 6.1 proof 2008 open
52 Number theory 6.1 proof 2008 open
53 Algebra 6.1 proof 2008 open
54 Geometry 6.2 proof 2008 open
55 Geometry 6.2 proof 2008 open
56 Geometry 6.3 proof 2008 open
57 Algebra 6.3 proof 2008 open
58 Combinatorics 6.5 proof 2016 open
59 Geometry 6.5 proof 2008 open
60 Combinatorics 6.5 proof 2016 open
61 Combinatorics 6.5 proof 2016 open
62 Combinatorics 6.7 proof 2008 open
63 Geometry 6.7 proof 2008 open
64 Geometry 6.7 proof 2016 open
65 Geometry 6.8 proof 2016 open
66 Combinatorics 7.2 proof 2008 open
67 Combinatorics 7.3 proof 2008 open
68 Number theory 7.8 proof 2016 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.