Maths Olympiad Prep

Library /Indian National Mathematical Olympiad

Indian National Mathematical Olympiad

54 problems here, rated 4.5 to 7.5 on our scale (AIME to National Olympiad, round 2). 54 of them ask for a proof. Years covered: 2004–2011.

Algebra 22Combinatorics 5Geometry 19Number theory 8
#TopicDiffTypeYear
1 Algebra 4.5 proof — open
2 Algebra 4.5 proof — open
3 Geometry 4.5 proof 2011 open
4 Algebra 4.6 proof — open
5 Algebra 4.7 proof — open
6 Geometry 4.7 proof — open
7 Combinatorics 4.8 proof 2011 open
8 Number theory 4.8 proof 2011 open
9 Algebra 5.0 proof — open
10 Number theory 5.0 proof 2011 open
11 Geometry 5.0 proof — open
12 Geometry 5.2 proof — open
13 Algebra 5.3 proof — open
14 Algebra 5.4 proof — open
15 Geometry 5.4 proof — open
16 Algebra 5.4 proof — open
17 Geometry 5.4 proof 2004 open
18 Geometry 5.5 proof — open
19 Geometry 5.5 proof 2011 open
20 Algebra 5.6 proof — open
21 Algebra 5.6 proof — open
22 Algebra 5.6 proof — open
23 Combinatorics 5.6 proof 2004 open
24 Geometry 5.6 proof — open
25 Geometry 5.6 proof — open
26 Geometry 5.6 proof — open
27 Algebra 5.7 proof — open
28 Number theory 5.7 proof — open
29 Algebra 5.7 proof 2011 open
30 Algebra 5.8 proof — open
31 Algebra 5.9 proof — open
32 Geometry 5.9 proof — open
33 Geometry 5.9 proof — open
34 Combinatorics 6.0 proof — open
35 Algebra 6.0 proof 2011 open
36 Number theory 6.0 proof — open
37 Geometry 6.1 proof — open
38 Combinatorics 6.2 proof — open
39 Geometry 6.3 proof — open
40 Algebra 6.3 proof — open
41 Number theory 6.3 proof — open
42 Algebra 6.4 proof — open
43 Number theory 6.5 proof — open
44 Geometry 6.6 proof — open
45 Algebra 6.7 proof — open
46 Geometry 6.8 proof — open
47 Geometry 6.8 proof — open
48 Combinatorics 6.8 proof — open
49 Algebra 7.0 proof — open
50 Number theory 7.0 proof — open
51 Algebra 7.1 proof — open
52 Geometry 7.2 proof — open
53 Number theory 7.4 proof — open
54 Algebra 7.5 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.