Maths Olympiad Prep

Library /Romania — NMO Selection Tests for the Balkan and International Mathematical Olympiads

Romania — NMO Selection Tests for the Balkan and International Mathematical Olympiads

70 problems here, rated 7.2 to 9.1 on our scale (National Olympiad, round 2 to IMO level). 70 of them ask for a proof.

Algebra 17Combinatorics 13Geometry 27Number theory 13
#TopicDiffTypeYear
1 Algebra 7.2 proof — open
2 Number theory 7.4 proof — open
3 Geometry 7.5 proof — open
4 Geometry 7.5 proof — open
5 Number theory 7.6 proof — open
6 Number theory 7.6 proof — open
7 Geometry 7.6 proof — open
8 Number theory 7.6 proof — open
9 Geometry 7.7 proof — open
10 Algebra 7.7 proof — open
11 Geometry 7.7 proof — open
12 Number theory 7.7 proof — open
13 Algebra 7.7 proof — open
14 Geometry 7.8 proof — open
15 Number theory 7.8 proof — open
16 Combinatorics 8.0 proof — open
17 Geometry 8.0 proof — open
18 Number theory 8.0 proof — open
19 Combinatorics 8.0 proof — open
20 Algebra 8.1 proof — open
21 Geometry 8.1 proof — open
22 Algebra 8.1 proof — open
23 Geometry 8.1 proof — open
24 Geometry 8.1 proof — open
25 Algebra 8.1 proof — open
26 Number theory 8.1 proof — open
27 Algebra 8.1 proof — open
28 Geometry 8.1 proof — open
29 Algebra 8.1 proof — open
30 Algebra 8.1 proof — open
31 Geometry 8.2 proof — open
32 Number theory 8.2 proof — open
33 Algebra 8.2 proof — open
34 Combinatorics 8.2 proof — open
35 Number theory 8.2 proof — open
36 Geometry 8.2 proof — open
37 Algebra 8.2 proof — open
38 Geometry 8.3 proof — open
39 Geometry 8.3 proof — open
40 Algebra 8.3 proof — open
41 Geometry 8.3 proof — open
42 Geometry 8.3 proof — open
43 Algebra 8.3 proof — open
44 Algebra 8.3 proof — open
45 Geometry 8.4 proof — open
46 Combinatorics 8.4 proof — open
47 Geometry 8.4 proof — open
48 Geometry 8.4 proof — open
49 Geometry 8.4 proof — open
50 Combinatorics 8.4 proof — open
51 Geometry 8.4 proof — open
52 Combinatorics 8.4 proof — open
53 Algebra 8.4 proof — open
54 Geometry 8.5 proof — open
55 Geometry 8.5 proof — open
56 Geometry 8.5 proof — open
57 Algebra 8.5 proof — open
58 Algebra 8.6 proof — open
59 Combinatorics 8.7 proof — open
60 Number theory 8.7 proof — open
61 Combinatorics 8.7 proof — open
62 Geometry 8.7 proof — open
63 Geometry 8.7 proof — open
64 Number theory 8.7 proof — open
65 Number theory 8.8 proof — open
66 Combinatorics 8.8 proof — open
67 Combinatorics 8.9 proof — open
68 Combinatorics 8.9 proof — open
69 Combinatorics 8.9 proof — open
70 Combinatorics 9.1 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.