Maths Olympiad Prep

Library /Indian National Mathematical Olympiad

Indian National Mathematical Olympiad

121 problems here, rated 4.5 to 7.7 on our scale (AIME to National Olympiad, round 2). 120 of them ask for a proof. Years covered: 2004–2011.

Algebra 40Combinatorics 16Geometry 41Number theory 24
#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 Number theory 5.2 proof — open
13 Geometry 5.2 proof — open
14 Algebra 5.3 proof — open
15 Algebra 5.3 proof — open
16 Geometry 5.3 proof — open
17 Algebra 5.4 proof — open
18 Algebra 5.4 proof — open
19 Number theory 5.4 proof — open
20 Geometry 5.4 proof — open
21 Geometry 5.4 proof — open
22 Algebra 5.4 proof — open
23 Geometry 5.4 proof 2004 open
24 Geometry 5.4 proof — open
25 Geometry 5.5 proof — open
26 Geometry 5.5 proof 2011 open
27 Algebra 5.6 proof — open
28 Geometry 5.6 proof — open
29 Algebra 5.6 proof — open
30 Algebra 5.6 proof — open
31 Number theory 5.6 proof — open
32 Combinatorics 5.6 proof 2004 open
33 Number theory 5.6 proof — open
34 Geometry 5.6 proof — open
35 Geometry 5.6 proof — open
36 Geometry 5.6 proof — open
37 Number theory 5.6 proof — open
38 Geometry 5.6 proof — open
39 Algebra 5.7 proof — open
40 Number theory 5.7 proof — open
41 Combinatorics 5.7 proof — open
42 Geometry 5.7 proof — open
43 Number theory 5.7 proof — open
44 Algebra 5.7 proof 2011 open
45 Algebra 5.8 proof — open
46 Number theory 5.8 proof — open
47 Algebra 5.9 proof — open
48 Algebra 5.9 proof — open
49 Algebra 5.9 proof — open
50 Geometry 5.9 proof 2004 open
51 Geometry 5.9 proof — open
52 Algebra 5.9 proof — open
53 Number theory 5.9 proof — open
54 Number theory 5.9 proof — open
55 Geometry 5.9 proof — open
56 Geometry 5.9 proof — open
57 Combinatorics 6.0 answer — open
58 Combinatorics 6.0 proof — open
59 Algebra 6.0 proof 2011 open
60 Combinatorics 6.0 proof — open
61 Number theory 6.0 proof 2004 open
62 Number theory 6.0 proof — open
63 Combinatorics 6.0 proof — open
64 Geometry 6.1 proof — open
65 Geometry 6.1 proof — open
66 Number theory 6.1 proof 2004 open
67 Geometry 6.1 proof — open
68 Algebra 6.2 proof — open
69 Combinatorics 6.2 proof — open
70 Number theory 6.2 proof — open
71 Algebra 6.2 proof — open
72 Geometry 6.3 proof — open
73 Number theory 6.3 proof — open
74 Geometry 6.3 proof — open
75 Algebra 6.3 proof — open
76 Combinatorics 6.3 proof — open
77 Number theory 6.3 proof — open
78 Algebra 6.3 proof — open
79 Algebra 6.4 proof — open
80 Algebra 6.4 proof — open
81 Number theory 6.4 proof — open
82 Algebra 6.4 proof 2004 open
83 Algebra 6.4 proof — open
84 Number theory 6.5 proof — open
85 Geometry 6.5 proof — open
86 Number theory 6.5 proof — open
87 Geometry 6.5 proof — open
88 Algebra 6.5 proof — open
89 Algebra 6.6 proof — open
90 Geometry 6.6 proof — open
91 Algebra 6.6 proof — open
92 Algebra 6.7 proof — open
93 Algebra 6.7 proof — open
94 Number theory 6.7 proof — open
95 Algebra 6.7 proof — open
96 Geometry 6.7 proof — open
97 Geometry 6.8 proof — open
98 Geometry 6.8 proof — open
99 Geometry 6.8 proof — open
100 Geometry 6.8 proof — open
101 Combinatorics 6.8 proof — open
102 Combinatorics 6.9 proof — open
103 Geometry 6.9 proof — open
104 Geometry 6.9 proof — open
105 Combinatorics 6.9 proof — open
106 Combinatorics 7.0 proof — open
107 Algebra 7.0 proof — open
108 Number theory 7.0 proof — open
109 Algebra 7.1 proof — open
110 Combinatorics 7.2 proof — open
111 Geometry 7.2 proof — open
112 Algebra 7.2 proof — open
113 Geometry 7.2 proof — open
114 Combinatorics 7.4 proof — open
115 Geometry 7.4 proof — open
116 Geometry 7.4 proof — open
117 Number theory 7.4 proof — open
118 Algebra 7.5 proof — open
119 Geometry 7.5 proof — open
120 Algebra 7.6 proof — open
121 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.