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

80 problems here, rated 6.8 to 9.1 on our scale (National Olympiad to IMO level). 80 of them ask for a proof.

Algebra 19Combinatorics 17Geometry 30Number theory 14
#TopicDiffTypeYear
1 Geometry 6.8 proof — open
2 Algebra 7.2 proof — open
3 Number theory 7.4 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 Algebra 7.6 proof — open
9 Geometry 7.7 proof — open
10 Algebra 7.7 proof — open
11 Algebra 7.7 proof — open
12 Geometry 7.7 proof — open
13 Number theory 7.7 proof — open
14 Algebra 7.7 proof — open
15 Combinatorics 7.8 proof — open
16 Geometry 7.8 proof — open
17 Number theory 7.8 proof — open
18 Geometry 7.9 proof — open
19 Number theory 8.0 proof — open
20 Combinatorics 8.0 proof — open
21 Geometry 8.0 proof — open
22 Geometry 8.0 proof — open
23 Number theory 8.0 proof — open
24 Number theory 8.0 proof — open
25 Combinatorics 8.0 proof — open
26 Combinatorics 8.0 proof — open
27 Algebra 8.1 proof — open
28 Algebra 8.1 proof — open
29 Geometry 8.1 proof — open
30 Geometry 8.1 proof — open
31 Algebra 8.1 proof — open
32 Number theory 8.1 proof — open
33 Algebra 8.1 proof — open
34 Geometry 8.1 proof — open
35 Algebra 8.1 proof — open
36 Algebra 8.1 proof — open
37 Geometry 8.2 proof — open
38 Geometry 8.2 proof — open
39 Number theory 8.2 proof — open
40 Algebra 8.2 proof — open
41 Number theory 8.2 proof — open
42 Combinatorics 8.2 proof — open
43 Combinatorics 8.2 proof — open
44 Number theory 8.2 proof — open
45 Geometry 8.2 proof — open
46 Algebra 8.2 proof — open
47 Geometry 8.3 proof — open
48 Geometry 8.3 proof — open
49 Algebra 8.3 proof — open
50 Geometry 8.3 proof — open
51 Geometry 8.3 proof — open
52 Algebra 8.3 proof — open
53 Geometry 8.3 proof — open
54 Geometry 8.4 proof — open
55 Geometry 8.4 proof — open
56 Combinatorics 8.4 proof — open
57 Geometry 8.4 proof — open
58 Geometry 8.4 proof — open
59 Geometry 8.4 proof — open
60 Combinatorics 8.4 proof — open
61 Geometry 8.4 proof — open
62 Combinatorics 8.4 proof — open
63 Combinatorics 8.4 proof — open
64 Algebra 8.4 proof — open
65 Geometry 8.5 proof — open
66 Geometry 8.5 proof — open
67 Algebra 8.5 proof — open
68 Algebra 8.6 proof — open
69 Algebra 8.6 proof — open
70 Combinatorics 8.7 proof — open
71 Number theory 8.7 proof — open
72 Combinatorics 8.7 proof — open
73 Geometry 8.7 proof — open
74 Geometry 8.7 proof — open
75 Number theory 8.8 proof — open
76 Combinatorics 8.8 proof — open
77 Combinatorics 8.9 proof — open
78 Combinatorics 8.9 proof — open
79 Combinatorics 8.9 proof — open
80 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.