Maths Olympiad Prep

Library /NMO Selection Tests for JBMO

NMO Selection Tests for JBMO

58 problems here, rated 4.5 to 7.7 on our scale (AIME to National Olympiad, round 2). 58 of them ask for a proof.

Algebra 10Combinatorics 14Geometry 20Number theory 14
#TopicDiffTypeYear
1 Geometry 4.5 proof — open
2 Algebra 4.6 proof — open
3 Number theory 4.7 proof — open
4 Number theory 4.8 proof — open
5 Algebra 4.8 proof — open
6 Number theory 4.9 proof — open
7 Algebra 5.0 proof — open
8 Geometry 5.1 proof — open
9 Geometry 5.1 proof — open
10 Geometry 5.2 proof — open
11 Algebra 5.3 proof — open
12 Algebra 5.3 proof — open
13 Geometry 5.3 proof — open
14 Number theory 5.4 proof — open
15 Number theory 5.4 proof — open
16 Number theory 5.4 proof — open
17 Number theory 5.5 proof — open
18 Geometry 5.5 proof — open
19 Geometry 5.6 proof — open
20 Number theory 5.7 proof — open
21 Geometry 5.7 proof — open
22 Geometry 5.7 proof — open
23 Algebra 5.7 proof — open
24 Number theory 5.8 proof — open
25 Combinatorics 5.8 proof — open
26 Algebra 5.9 proof — open
27 Number theory 5.9 proof — open
28 Geometry 5.9 proof — open
29 Geometry 5.9 proof — open
30 Number theory 5.9 proof — open
31 Geometry 6.0 proof — open
32 Number theory 6.0 proof — open
33 Combinatorics 6.1 proof — open
34 Combinatorics 6.1 proof — open
35 Algebra 6.1 proof — open
36 Combinatorics 6.1 proof — open
37 Algebra 6.1 proof — open
38 Combinatorics 6.1 proof — open
39 Geometry 6.2 proof — open
40 Algebra 6.2 proof — open
41 Geometry 6.3 proof — open
42 Geometry 6.4 proof — open
43 Geometry 6.4 proof — open
44 Number theory 6.5 proof — open
45 Number theory 6.5 proof — open
46 Combinatorics 6.7 proof — open
47 Combinatorics 6.7 proof — open
48 Combinatorics 6.7 proof — open
49 Geometry 6.8 proof — open
50 Combinatorics 6.8 proof — open
51 Geometry 6.8 proof — open
52 Combinatorics 7.1 proof — open
53 Combinatorics 7.1 proof — open
54 Combinatorics 7.2 proof — open
55 Geometry 7.3 proof — open
56 Geometry 7.4 proof — open
57 Combinatorics 7.4 proof — open
58 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.