Maths Olympiad Prep

Library /UkraineMO

UkraineMO

57 problems here, rated 4.5 to 7.7 on our scale (AIME to National Olympiad, round 2). 57 of them ask for a proof.

Algebra 19Combinatorics 10Geometry 18Number theory 10
#TopicDiffTypeYear
1 Geometry 4.5 proof — open
2 Number theory 4.6 proof — open
3 Algebra 4.6 proof — open
4 Algebra 4.6 proof — open
5 Geometry 4.7 proof — open
6 Algebra 4.8 proof — open
7 Combinatorics 4.8 proof — open
8 Number theory 4.8 proof — open
9 Algebra 4.8 proof — open
10 Algebra 4.8 proof — open
11 Algebra 4.9 proof — open
12 Algebra 4.9 proof — open
13 Algebra 5.0 proof — open
14 Combinatorics 5.0 proof — open
15 Geometry 5.1 proof — open
16 Geometry 5.1 proof — open
17 Geometry 5.1 proof — open
18 Algebra 5.3 proof — open
19 Algebra 5.3 proof — open
20 Algebra 5.3 proof — open
21 Algebra 5.3 proof — open
22 Algebra 5.3 proof — open
23 Algebra 5.4 proof — open
24 Geometry 5.5 proof — open
25 Geometry 5.5 proof — open
26 Number theory 5.5 proof — open
27 Number theory 5.5 proof — open
28 Geometry 5.5 proof — open
29 Geometry 5.6 proof — open
30 Geometry 5.6 proof — open
31 Geometry 5.8 proof — open
32 Geometry 5.8 proof — open
33 Number theory 5.8 proof — open
34 Algebra 5.9 proof — open
35 Algebra 6.0 proof — open
36 Geometry 6.0 proof — open
37 Algebra 6.0 proof — open
38 Number theory 6.0 proof — open
39 Geometry 6.0 proof — open
40 Algebra 6.1 proof — open
41 Number theory 6.1 proof — open
42 Number theory 6.3 proof — open
43 Algebra 6.4 proof — open
44 Number theory 6.5 proof — open
45 Combinatorics 6.5 proof — open
46 Combinatorics 6.6 proof — open
47 Geometry 6.6 proof — open
48 Combinatorics 6.6 proof — open
49 Geometry 6.6 proof — open
50 Combinatorics 6.7 proof — open
51 Number theory 7.0 proof — open
52 Geometry 7.1 proof — open
53 Geometry 7.3 proof — open
54 Combinatorics 7.3 proof — open
55 Combinatorics 7.5 proof — open
56 Combinatorics 7.5 proof — open
57 Combinatorics 7.7 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.