IMO Shortlist
144 problems here, rated 6.8 to 9.1 on our scale (National olympiad to IMO level).
| # | Topic | Diff | Type | Year | |
|---|---|---|---|---|---|
| 1 | Algebra | 6.8 | answer | — | open |
| 2 | Number theory | 7.1 | answer | — | open |
| 3 | Algebra | 7.2 | answer | — | open |
| 4 | Combinatorics | 7.3 | answer | — | open |
| 5 | Combinatorics | 7.4 | answer | — | open |
| 6 | Number theory | 7.5 | answer | — | open |
| 7 | Algebra | 7.5 | answer | — | open |
| 8 | Combinatorics | 7.5 | answer | — | open |
| 9 | Number theory | 7.5 | answer | — | open |
| 10 | Algebra | 7.5 | answer | — | open |
| 11 | Algebra | 7.5 | answer | — | open |
| 12 | Number theory | 7.6 | answer | — | open |
| 13 | Combinatorics | 7.6 | answer | — | open |
| 14 | Number theory | 7.6 | answer | — | open |
| 15 | Algebra | 7.6 | answer | — | open |
| 16 | Number theory | 7.6 | answer | — | open |
| 17 | Combinatorics | 7.6 | answer | — | open |
| 18 | Algebra | 7.7 | answer | — | open |
| 19 | Geometry | 7.7 | answer | — | open |
| 20 | Number theory | 7.7 | answer | — | open |
| 21 | Algebra | 7.7 | answer | — | open |
| 22 | Combinatorics | 7.7 | answer | — | open |
| 23 | Combinatorics | 7.7 | answer | — | open |
| 24 | Number theory | 7.8 | answer | — | open |
| 25 | Combinatorics | 7.8 | answer | — | open |
| 26 | Geometry | 7.8 | answer | — | open |
| 27 | Geometry | 7.8 | answer | — | open |
| 28 | Algebra | 7.8 | answer | — | open |
| 29 | Number theory | 7.8 | answer | — | open |
| 30 | Algebra | 7.8 | answer | — | open |
| 31 | Algebra | 7.8 | answer | — | open |
| 32 | Algebra | 7.8 | answer | — | open |
| 33 | Geometry | 7.9 | answer | — | open |
| 34 | Algebra | 7.9 | answer | — | open |
| 35 | Algebra | 7.9 | answer | — | open |
| 36 | Algebra | 7.9 | answer | — | open |
| 37 | Algebra | 7.9 | answer | — | open |
| 38 | Algebra | 7.9 | answer | — | open |
| 39 | Algebra | 7.9 | answer | — | open |
| 40 | Number theory | 7.9 | answer | — | open |
| 41 | Algebra | 7.9 | answer | — | open |
| 42 | Combinatorics | 7.9 | answer | — | open |
| 43 | Algebra | 8.0 | answer | — | open |
| 44 | Algebra | 8.0 | answer | — | open |
| 45 | Algebra | 8.0 | answer | — | open |
| 46 | Algebra | 8.0 | answer | — | open |
| 47 | Algebra | 8.0 | answer | — | open |
| 48 | Number theory | 8.0 | answer | — | open |
| 49 | Combinatorics | 8.0 | answer | — | open |
| 50 | Algebra | 8.0 | answer | — | open |
| 51 | Algebra | 8.0 | answer | — | open |
| 52 | Algebra | 8.1 | answer | — | open |
| 53 | Geometry | 8.1 | answer | — | open |
| 54 | Geometry | 8.1 | answer | — | open |
| 55 | Combinatorics | 8.1 | answer | — | open |
| 56 | Algebra | 8.1 | answer | — | open |
| 57 | Algebra | 8.1 | answer | — | open |
| 58 | Algebra | 8.1 | answer | — | open |
| 59 | Number theory | 8.1 | answer | — | open |
| 60 | Number theory | 8.1 | answer | — | open |
| 61 | Number theory | 8.2 | answer | — | open |
| 62 | Number theory | 8.2 | answer | — | open |
| 63 | Algebra | 8.2 | answer | — | open |
| 64 | Number theory | 8.2 | answer | — | open |
| 65 | Number theory | 8.2 | answer | — | open |
| 66 | Number theory | 8.2 | answer | — | open |
| 67 | Combinatorics | 8.2 | answer | — | open |
| 68 | Algebra | 8.2 | answer | — | open |
| 69 | Algebra | 8.2 | answer | — | open |
| 70 | Algebra | 8.2 | answer | — | open |
| 71 | Number theory | 8.2 | answer | — | open |
| 72 | Geometry | 8.2 | answer | — | open |
| 73 | Algebra | 8.2 | answer | — | open |
| 74 | Algebra | 8.2 | answer | — | open |
| 75 | Combinatorics | 8.2 | answer | — | open |
| 76 | Number theory | 8.3 | answer | — | open |
| 77 | Combinatorics | 8.3 | answer | — | open |
| 78 | Combinatorics | 8.3 | answer | — | open |
| 79 | Number theory | 8.3 | answer | — | open |
| 80 | Number theory | 8.3 | answer | — | open |
| 81 | Algebra | 8.3 | answer | — | open |
| 82 | Algebra | 8.3 | answer | — | open |
| 83 | Algebra | 8.3 | answer | — | open |
| 84 | Algebra | 8.3 | answer | — | open |
| 85 | Combinatorics | 8.4 | answer | — | open |
| 86 | Algebra | 8.4 | answer | — | open |
| 87 | Combinatorics | 8.4 | answer | — | open |
| 88 | Algebra | 8.4 | answer | — | open |
| 89 | Combinatorics | 8.4 | answer | — | open |
| 90 | Algebra | 8.4 | answer | — | open |
| 91 | Number theory | 8.4 | answer | — | open |
| 92 | Number theory | 8.4 | answer | — | open |
| 93 | Algebra | 8.4 | answer | — | open |
| 94 | Combinatorics | 8.4 | answer | — | open |
| 95 | Algebra | 8.4 | answer | — | open |
| 96 | Algebra | 8.5 | answer | — | open |
| 97 | Combinatorics | 8.5 | answer | — | open |
| 98 | Algebra | 8.5 | answer | — | open |
| 99 | Geometry | 8.5 | answer | — | open |
| 100 | Number theory | 8.5 | answer | — | open |
| 101 | Combinatorics | 8.5 | answer | — | open |
| 102 | Algebra | 8.5 | answer | — | open |
| 103 | Algebra | 8.5 | answer | — | open |
| 104 | Algebra | 8.5 | answer | — | open |
| 105 | Combinatorics | 8.5 | answer | — | open |
| 106 | Geometry | 8.5 | answer | — | open |
| 107 | Geometry | 8.5 | answer | — | open |
| 108 | Combinatorics | 8.6 | answer | — | open |
| 109 | Combinatorics | 8.6 | answer | — | open |
| 110 | Algebra | 8.6 | answer | — | open |
| 111 | Algebra | 8.6 | answer | — | open |
| 112 | Algebra | 8.6 | answer | — | open |
| 113 | Number theory | 8.6 | answer | — | open |
| 114 | Combinatorics | 8.6 | answer | — | open |
| 115 | Algebra | 8.7 | answer | — | open |
| 116 | Algebra | 8.7 | answer | — | open |
| 117 | Geometry | 8.7 | answer | — | open |
| 118 | Algebra | 8.7 | answer | — | open |
| 119 | Combinatorics | 8.7 | answer | — | open |
| 120 | Algebra | 8.7 | answer | — | open |
| 121 | Algebra | 8.7 | answer | — | open |
| 122 | Number theory | 8.7 | answer | — | open |
| 123 | Algebra | 8.7 | answer | — | open |
| 124 | Algebra | 8.7 | answer | — | open |
| 125 | Combinatorics | 8.8 | answer | — | open |
| 126 | Combinatorics | 8.8 | answer | — | open |
| 127 | Combinatorics | 8.8 | answer | — | open |
| 128 | Combinatorics | 8.8 | answer | — | open |
| 129 | Geometry | 8.8 | answer | — | open |
| 130 | Algebra | 8.8 | answer | — | open |
| 131 | Algebra | 8.8 | answer | — | open |
| 132 | Number theory | 8.8 | answer | — | open |
| 133 | Number theory | 8.8 | answer | — | open |
| 134 | Number theory | 8.8 | answer | — | open |
| 135 | Combinatorics | 8.9 | answer | — | open |
| 136 | Geometry | 8.9 | answer | — | open |
| 137 | Combinatorics | 8.9 | answer | — | open |
| 138 | Combinatorics | 8.9 | answer | — | open |
| 139 | Algebra | 8.9 | answer | — | open |
| 140 | Combinatorics | 8.9 | answer | — | open |
| 141 | Algebra | 9.1 | answer | — | open |
| 142 | Combinatorics | 9.1 | answer | — | open |
| 143 | Combinatorics | 9.1 | answer | — | open |
| 144 | Combinatorics | 9.1 | answer | — | 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.