Maths Olympiad Prep

Library /Indian National Mathematical Olympiad

Indian National Mathematical Olympiad

103 problems here, rated 4.5 to 7.7 on our scale (AIME to National Olympiad, round 2). 102 of them ask for a proof. Years covered: 2004–2011.

Algebra 35Combinatorics 13Geometry 36Number theory 19
#TopicDiffTypeYear
1 Algebra 4.5 proof — open
2 Geometry 4.5 proof 2011 open
3 Algebra 4.6 proof — open
4 Algebra 4.7 proof — open
5 Geometry 4.7 proof — open
6 Combinatorics 4.8 proof 2011 open
7 Number theory 4.8 proof 2011 open
8 Algebra 5.0 proof — open
9 Number theory 5.0 proof 2011 open
10 Geometry 5.0 proof — open
11 Geometry 5.2 proof — open
12 Algebra 5.3 proof — open
13 Geometry 5.3 proof — open
14 Algebra 5.4 proof — open
15 Algebra 5.4 proof — open
16 Number theory 5.4 proof — open
17 Geometry 5.4 proof — open
18 Geometry 5.4 proof — open
19 Algebra 5.4 proof — open
20 Geometry 5.4 proof 2004 open
21 Geometry 5.4 proof — open
22 Geometry 5.5 proof — open
23 Geometry 5.5 proof 2011 open
24 Algebra 5.6 proof — open
25 Geometry 5.6 proof — open
26 Algebra 5.6 proof — open
27 Algebra 5.6 proof — open
28 Number theory 5.6 proof — open
29 Combinatorics 5.6 proof 2004 open
30 Number theory 5.6 proof — open
31 Geometry 5.6 proof — open
32 Geometry 5.6 proof — open
33 Number theory 5.6 proof — open
34 Algebra 5.7 proof — open
35 Number theory 5.7 proof — open
36 Combinatorics 5.7 proof — open
37 Geometry 5.7 proof — open
38 Algebra 5.7 proof 2011 open
39 Algebra 5.8 proof — open
40 Number theory 5.8 proof — open
41 Algebra 5.9 proof — open
42 Algebra 5.9 proof — open
43 Algebra 5.9 proof — open
44 Geometry 5.9 proof 2004 open
45 Geometry 5.9 proof — open
46 Algebra 5.9 proof — open
47 Number theory 5.9 proof — open
48 Number theory 5.9 proof — open
49 Geometry 5.9 proof — open
50 Geometry 5.9 proof — open
51 Combinatorics 6.0 answer — open
52 Combinatorics 6.0 proof — open
53 Algebra 6.0 proof 2011 open
54 Combinatorics 6.0 proof — open
55 Number theory 6.0 proof — open
56 Geometry 6.1 proof — open
57 Number theory 6.1 proof 2004 open
58 Geometry 6.1 proof — open
59 Algebra 6.2 proof — open
60 Combinatorics 6.2 proof — open
61 Number theory 6.2 proof — open
62 Algebra 6.2 proof — open
63 Geometry 6.3 proof — open
64 Geometry 6.3 proof — open
65 Combinatorics 6.3 proof — open
66 Number theory 6.3 proof — open
67 Algebra 6.3 proof — open
68 Algebra 6.4 proof — open
69 Number theory 6.4 proof — open
70 Algebra 6.4 proof 2004 open
71 Algebra 6.4 proof — open
72 Number theory 6.5 proof — open
73 Geometry 6.5 proof — open
74 Number theory 6.5 proof — open
75 Geometry 6.5 proof — open
76 Algebra 6.5 proof — open
77 Algebra 6.6 proof — open
78 Geometry 6.6 proof — open
79 Algebra 6.6 proof — open
80 Algebra 6.7 proof — open
81 Number theory 6.7 proof — open
82 Algebra 6.7 proof — open
83 Geometry 6.7 proof — open
84 Geometry 6.8 proof — open
85 Geometry 6.8 proof — open
86 Geometry 6.8 proof — open
87 Combinatorics 6.9 proof — open
88 Geometry 6.9 proof — open
89 Combinatorics 6.9 proof — open
90 Combinatorics 7.0 proof — open
91 Algebra 7.0 proof — open
92 Number theory 7.0 proof — open
93 Algebra 7.1 proof — open
94 Combinatorics 7.2 proof — open
95 Geometry 7.2 proof — open
96 Algebra 7.2 proof — open
97 Geometry 7.2 proof — open
98 Geometry 7.4 proof — open
99 Geometry 7.4 proof — open
100 Algebra 7.5 proof — open
101 Geometry 7.5 proof — open
102 Algebra 7.6 proof — open
103 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.