Maths Olympiad Prep

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International Mathematical Olympiad

116 problems here, rated 7.1 to 9.2 on our scale (National Olympiad, round 2 to IMO level). 54 of them ask for a proof.

Algebra 38Combinatorics 26Geometry 27Number theory 25
#TopicDiffTypeYear
1 Number theory 7.1 answer — open
2 Algebra 7.1 answer — open
3 Number theory 7.2 answer — open
4 Algebra 7.5 answer — open
5 Combinatorics 7.5 answer — open
6 Number theory 7.6 answer — open
7 Combinatorics 7.6 answer — open
8 Number theory 7.6 answer — open
9 Algebra 7.7 proof — open
10 Number theory 7.7 answer — open
11 Geometry 7.7 proof — open
12 Number theory 7.7 answer — open
13 Number theory 7.7 answer — open
14 Number theory 7.8 proof — open
15 Geometry 7.8 proof — open
16 Number theory 7.8 answer — open
17 Number theory 7.8 answer — open
18 Number theory 7.9 answer — open
19 Algebra 7.9 proof — open
20 Combinatorics 7.9 proof — open
21 Algebra 7.9 proof — open
22 Algebra 7.9 answer — open
23 Algebra 8.0 answer — open
24 Number theory 8.0 proof — open
25 Algebra 8.0 answer — open
26 Geometry 8.1 answer — open
27 Algebra 8.1 answer — open
28 Algebra 8.1 proof — open
29 Algebra 8.1 answer — open
30 Combinatorics 8.1 answer — open
31 Algebra 8.1 answer — open
32 Algebra 8.1 answer — open
33 Number theory 8.1 answer — open
34 Combinatorics 8.1 answer — open
35 Algebra 8.2 answer — open
36 Algebra 8.2 answer — open
37 Geometry 8.2 proof — open
38 Number theory 8.2 answer — open
39 Algebra 8.2 proof — open
40 Combinatorics 8.2 proof — open
41 Number theory 8.2 proof — open
42 Geometry 8.3 answer — open
43 Algebra 8.3 answer — open
44 Combinatorics 8.3 answer — open
45 Number theory 8.3 answer — open
46 Algebra 8.3 answer — open
47 Algebra 8.3 answer — open
48 Algebra 8.4 answer — open
49 Geometry 8.4 proof — open
50 Geometry 8.4 proof — open
51 Number theory 8.4 answer — open
52 Algebra 8.4 answer — open
53 Geometry 8.4 answer — open
54 Algebra 8.4 answer — open
55 Algebra 8.4 answer — open
56 Geometry 8.4 proof — open
57 Number theory 8.4 proof — open
58 Geometry 8.4 proof — open
59 Algebra 8.4 proof — open
60 Algebra 8.4 answer — open
61 Number theory 8.5 proof — open
62 Geometry 8.5 proof — open
63 Combinatorics 8.5 answer — open
64 Algebra 8.5 answer — open
65 Geometry 8.5 answer — open
66 Combinatorics 8.5 answer — open
67 Geometry 8.5 proof — open
68 Combinatorics 8.5 answer — open
69 Algebra 8.5 answer — open
70 Algebra 8.5 proof — open
71 Number theory 8.5 proof — open
72 Number theory 8.5 proof — open
73 Geometry 8.5 proof — open
74 Geometry 8.6 proof — open
75 Geometry 8.6 proof — open
76 Algebra 8.6 proof — open
77 Combinatorics 8.6 answer — open
78 Algebra 8.6 proof — open
79 Number theory 8.6 proof — open
80 Number theory 8.6 answer — open
81 Geometry 8.7 proof — open
82 Algebra 8.7 answer — open
83 Combinatorics 8.7 answer — open
84 Algebra 8.7 answer — open
85 Algebra 8.7 answer — open
86 Algebra 8.7 proof — open
87 Geometry 8.7 proof — open
88 Algebra 8.7 answer — open
89 Geometry 8.7 proof — open
90 Algebra 8.7 answer — open
91 Combinatorics 8.8 answer — open
92 Algebra 8.8 proof — open
93 Combinatorics 8.8 proof — open
94 Geometry 8.8 proof — open
95 Combinatorics 8.8 answer — open
96 Geometry 8.8 proof — open
97 Geometry 8.8 proof — open
98 Combinatorics 8.8 answer — open
99 Geometry 8.8 proof — open
100 Number theory 8.8 proof — open
101 Geometry 8.8 proof — open
102 Combinatorics 8.9 proof — open
103 Combinatorics 8.9 answer — open
104 Geometry 8.9 answer — open
105 Number theory 9.0 proof — open
106 Combinatorics 9.0 proof — open
107 Algebra 9.0 proof — open
108 Combinatorics 9.0 answer — open
109 Combinatorics 9.1 proof — open
110 Combinatorics 9.1 answer — open
111 Combinatorics 9.1 proof — open
112 Geometry 9.1 proof — open
113 Combinatorics 9.2 proof — open
114 Combinatorics 9.2 proof — open
115 Combinatorics 9.2 proof — open
116 Geometry 9.2 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.