UKMT Senior Mathematical Challenge
212 problems here, rated 1 to 3 on our scale (Junior to AMC 10/12). 5 of them ask for a proof. Years covered: 2009–2025.
| # | Topic | Diff | Type | Year | |
|---|---|---|---|---|---|
| 1 | Algebra | 1.0 | answer | 2022 | open |
| 2 | Algebra | 1.0 | answer | 2017 | open |
| 3 | Geometry | 1.0 | answer | 2016 | open |
| 4 | Algebra | 1.0 | answer | 2009 | open |
| 5 | Number theory | 1.0 | answer | 2021 | open |
| 6 | Algebra | 1.0 | answer | 2023 | open |
| 7 | Algebra | 1.0 | answer | 2025 | open |
| 8 | Geometry | 1.0 | answer | 2020 | open |
| 9 | Algebra | 1.0 | answer | 2020 | open |
| 10 | Number theory | 1.0 | answer | 2024 | open |
| 11 | Geometry | 1.0 | proof | 2018 | open |
| 12 | Number theory | 1.0 | answer | 2024 | open |
| 13 | Algebra | 1.0 | answer | 2009 | open |
| 14 | Algebra | 1.0 | answer | 2025 | open |
| 15 | Number theory | 1.0 | answer | 2016 | open |
| 16 | Algebra | 1.0 | answer | 2021 | open |
| 17 | Number theory | 1.0 | answer | 2009 | open |
| 18 | Number theory | 1.0 | answer | 2018 | open |
| 19 | Algebra | 1.0 | answer | 2015 | open |
| 20 | Algebra | 1.0 | answer | 2017 | open |
| 21 | Algebra | 1.0 | answer | 2022 | open |
| 22 | Number theory | 1.0 | answer | 2020 | open |
| 23 | Algebra | 1.0 | answer | 2021 | open |
| 24 | Algebra | 1.0 | answer | 2019 | open |
| 25 | Algebra | 1.0 | answer | 2019 | open |
| 26 | Algebra | 1.0 | answer | 2020 | open |
| 27 | Algebra | 1.0 | answer | 2009 | open |
| 28 | Geometry | 1.0 | answer | 2016 | open |
| 29 | Algebra | 1.0 | answer | 2009 | open |
| 30 | Algebra | 1.0 | answer | 2024 | open |
| 31 | Combinatorics | 1.0 | answer | 2016 | open |
| 32 | Algebra | 1.0 | answer | 2020 | open |
| 33 | Number theory | 1.0 | answer | 2017 | open |
| 34 | Number theory | 1.0 | answer | 2025 | open |
| 35 | Algebra | 1.0 | answer | 2023 | open |
| 36 | Number theory | 1.0 | answer | 2018 | open |
| 37 | Algebra | 1.0 | answer | 2015 | open |
| 38 | Algebra | 1.0 | answer | 2017 | open |
| 39 | Algebra | 1.0 | answer | 2018 | open |
| 40 | Algebra | 1.0 | answer | 2009 | open |
| 41 | Algebra | 1.0 | answer | 2009 | open |
| 42 | Algebra | 1.0 | answer | 2023 | open |
| 43 | Algebra | 1.0 | answer | 2016 | open |
| 44 | Geometry | 1.0 | answer | 2021 | open |
| 45 | Algebra | 1.0 | answer | 2020 | open |
| 46 | Algebra | 1.0 | answer | 2015 | open |
| 47 | Algebra | 1.0 | answer | 2021 | open |
| 48 | Algebra | 1.0 | answer | 2017 | open |
| 49 | Algebra | 1.0 | answer | 2020 | open |
| 50 | Algebra | 1.0 | answer | 2019 | open |
| 51 | Geometry | 2.0 | answer | 2016 | open |
| 52 | Geometry | 2.0 | answer | 2022 | open |
| 53 | Combinatorics | 2.0 | answer | 2020 | open |
| 54 | Number theory | 2.0 | answer | 2018 | open |
| 55 | Number theory | 2.0 | answer | 2024 | open |
| 56 | Geometry | 2.0 | answer | 2016 | open |
| 57 | Combinatorics | 2.0 | answer | 2017 | open |
| 58 | Algebra | 2.0 | answer | 2018 | open |
| 59 | Combinatorics | 2.0 | answer | 2024 | open |
| 60 | Combinatorics | 2.0 | answer | 2015 | open |
| 61 | Algebra | 2.0 | answer | 2015 | open |
| 62 | Algebra | 2.0 | answer | 2018 | open |
| 63 | Algebra | 2.0 | answer | 2019 | open |
| 64 | Algebra | 2.0 | answer | 2023 | open |
| 65 | Number theory | 2.0 | answer | 2024 | open |
| 66 | Number theory | 2.0 | answer | 2016 | open |
| 67 | Geometry | 2.0 | answer | 2018 | open |
| 68 | Number theory | 2.0 | answer | 2020 | open |
| 69 | Algebra | 2.0 | answer | 2024 | open |
| 70 | Algebra | 2.0 | answer | 2019 | open |
| 71 | Combinatorics | 2.0 | answer | 2021 | open |
| 72 | Algebra | 2.0 | answer | 2021 | open |
| 73 | Number theory | 2.0 | answer | 2021 | open |
| 74 | Algebra | 2.0 | answer | 2022 | open |
| 75 | Number theory | 2.0 | answer | 2024 | open |
| 76 | Number theory | 2.0 | answer | 2016 | open |
| 77 | Algebra | 2.0 | answer | 2024 | open |
| 78 | Number theory | 2.0 | answer | 2020 | open |
| 79 | Geometry | 2.0 | answer | 2016 | open |
| 80 | Algebra | 2.0 | answer | 2022 | open |
| 81 | Number theory | 2.0 | answer | 2025 | open |
| 82 | Algebra | 2.0 | answer | 2019 | open |
| 83 | Number theory | 2.0 | answer | 2019 | open |
| 84 | Algebra | 2.0 | answer | 2024 | open |
| 85 | Algebra | 2.0 | answer | 2020 | open |
| 86 | Algebra | 2.0 | answer | 2022 | open |
| 87 | Algebra | 2.0 | answer | 2025 | open |
| 88 | Algebra | 2.0 | answer | 2018 | open |
| 89 | Algebra | 2.0 | answer | 2023 | open |
| 90 | Number theory | 2.0 | answer | 2015 | open |
| 91 | Algebra | 2.0 | answer | 2018 | open |
| 92 | Algebra | 2.0 | answer | 2017 | open |
| 93 | Geometry | 2.0 | answer | 2018 | open |
| 94 | Algebra | 2.0 | answer | 2016 | open |
| 95 | Algebra | 2.0 | proof | 2020 | open |
| 96 | Number theory | 2.0 | answer | 2018 | open |
| 97 | Algebra | 2.0 | answer | 2024 | open |
| 98 | Combinatorics | 2.0 | answer | 2015 | open |
| 99 | Number theory | 2.0 | answer | 2022 | open |
| 100 | Number theory | 2.0 | answer | 2020 | open |
| 101 | Combinatorics | 2.0 | answer | 2023 | open |
| 102 | Geometry | 2.0 | answer | 2022 | open |
| 103 | Number theory | 2.0 | answer | 2009 | open |
| 104 | Number theory | 2.0 | answer | 2025 | open |
| 105 | Algebra | 2.0 | answer | 2015 | open |
| 106 | Number theory | 2.0 | answer | 2019 | open |
| 107 | Geometry | 2.0 | answer | 2015 | open |
| 108 | Number theory | 2.0 | answer | 2021 | open |
| 109 | Combinatorics | 2.0 | answer | 2021 | open |
| 110 | Combinatorics | 2.0 | answer | 2022 | open |
| 111 | Algebra | 2.0 | answer | 2021 | open |
| 112 | Algebra | 2.0 | answer | 2022 | open |
| 113 | Number theory | 2.0 | answer | 2015 | open |
| 114 | Number theory | 2.0 | answer | 2019 | open |
| 115 | Number theory | 2.0 | answer | 2021 | open |
| 116 | Geometry | 2.0 | answer | 2016 | open |
| 117 | Algebra | 2.0 | answer | 2018 | open |
| 118 | Algebra | 2.0 | answer | 2015 | open |
| 119 | Geometry | 2.0 | answer | 2025 | open |
| 120 | Combinatorics | 2.0 | answer | 2009 | open |
| 121 | Geometry | 2.0 | answer | 2021 | open |
| 122 | Number theory | 2.0 | answer | 2023 | open |
| 123 | Geometry | 2.0 | answer | 2016 | open |
| 124 | Geometry | 2.0 | answer | 2020 | open |
| 125 | Algebra | 2.0 | answer | 2015 | open |
| 126 | Combinatorics | 2.0 | answer | 2015 | open |
| 127 | Geometry | 2.0 | answer | 2025 | open |
| 128 | Geometry | 2.0 | answer | 2020 | open |
| 129 | Algebra | 2.0 | answer | 2022 | open |
| 130 | Algebra | 2.0 | answer | 2015 | open |
| 131 | Geometry | 2.0 | answer | 2021 | open |
| 132 | Geometry | 2.0 | answer | 2022 | open |
| 133 | Combinatorics | 2.0 | answer | 2023 | open |
| 134 | Algebra | 2.0 | answer | 2018 | open |
| 135 | Number theory | 2.0 | answer | 2016 | open |
| 136 | Number theory | 2.0 | answer | 2019 | open |
| 137 | Geometry | 2.0 | answer | 2023 | open |
| 138 | Number theory | 2.0 | answer | 2020 | open |
| 139 | Algebra | 2.0 | proof | 2022 | open |
| 140 | Geometry | 2.0 | answer | 2022 | open |
| 141 | Algebra | 2.0 | answer | 2015 | open |
| 142 | Algebra | 2.0 | proof | 2023 | open |
| 143 | Number theory | 2.0 | answer | 2016 | open |
| 144 | Algebra | 3.0 | proof | 2025 | open |
| 145 | Number theory | 3.0 | answer | 2023 | open |
| 146 | Geometry | 3.0 | answer | 2019 | open |
| 147 | Algebra | 3.0 | answer | 2019 | open |
| 148 | Algebra | 3.0 | answer | 2022 | open |
| 149 | Geometry | 3.0 | answer | 2019 | open |
| 150 | Geometry | 3.0 | answer | 2015 | open |
| 151 | Algebra | 3.0 | answer | 2024 | open |
| 152 | Geometry | 3.0 | answer | 2016 | open |
| 153 | Geometry | 3.0 | answer | 2025 | open |
| 154 | Geometry | 3.0 | answer | 2024 | open |
| 155 | Number theory | 3.0 | answer | 2018 | open |
| 156 | Geometry | 3.0 | answer | 2020 | open |
| 157 | Geometry | 3.0 | answer | 2017 | open |
| 158 | Number theory | 3.0 | answer | 2019 | open |
| 159 | Algebra | 3.0 | answer | 2025 | open |
| 160 | Combinatorics | 3.0 | answer | 2022 | open |
| 161 | Geometry | 3.0 | answer | 2024 | open |
| 162 | Geometry | 3.0 | answer | 2018 | open |
| 163 | Number theory | 3.0 | answer | 2024 | open |
| 164 | Number theory | 3.0 | answer | 2024 | open |
| 165 | Number theory | 3.0 | answer | 2021 | open |
| 166 | Geometry | 3.0 | answer | 2017 | open |
| 167 | Geometry | 3.0 | answer | 2022 | open |
| 168 | Geometry | 3.0 | answer | 2021 | open |
| 169 | Algebra | 3.0 | answer | 2020 | open |
| 170 | Geometry | 3.0 | answer | 2021 | open |
| 171 | Number theory | 3.0 | answer | 2025 | open |
| 172 | Algebra | 3.0 | answer | 2017 | open |
| 173 | Algebra | 3.0 | answer | 2019 | open |
| 174 | Geometry | 3.0 | answer | 2022 | open |
| 175 | Algebra | 3.0 | answer | 2019 | open |
| 176 | Combinatorics | 3.0 | answer | 2020 | open |
| 177 | Geometry | 3.0 | answer | 2019 | open |
| 178 | Geometry | 3.0 | answer | 2019 | open |
| 179 | Number theory | 3.0 | answer | 2025 | open |
| 180 | Number theory | 3.0 | answer | 2020 | open |
| 181 | Geometry | 3.0 | answer | 2019 | open |
| 182 | Combinatorics | 3.0 | answer | 2016 | open |
| 183 | Geometry | 3.0 | answer | 2020 | open |
| 184 | Geometry | 3.0 | answer | 2021 | open |
| 185 | Geometry | 3.0 | answer | 2025 | open |
| 186 | Combinatorics | 3.0 | answer | 2015 | open |
| 187 | Geometry | 3.0 | answer | 2025 | open |
| 188 | Algebra | 3.0 | answer | 2017 | open |
| 189 | Number theory | 3.0 | answer | 2022 | open |
| 190 | Number theory | 3.0 | answer | 2023 | open |
| 191 | Number theory | 3.0 | answer | 2022 | open |
| 192 | Algebra | 3.0 | answer | 2018 | open |
| 193 | Geometry | 3.0 | answer | 2017 | open |
| 194 | Combinatorics | 3.0 | answer | 2024 | open |
| 195 | Geometry | 3.0 | answer | 2018 | open |
| 196 | Algebra | 3.0 | answer | 2021 | open |
| 197 | Combinatorics | 3.0 | answer | 2021 | open |
| 198 | Algebra | 3.0 | answer | 2023 | open |
| 199 | Algebra | 3.0 | answer | 2009 | open |
| 200 | Geometry | 3.0 | answer | 2015 | open |
| 201 | Geometry | 3.0 | answer | 2016 | open |
| 202 | Geometry | 3.0 | answer | 2023 | open |
| 203 | Geometry | 3.0 | answer | 2015 | open |
| 204 | Algebra | 3.0 | answer | 2025 | open |
| 205 | Geometry | 3.0 | answer | 2018 | open |
| 206 | Geometry | 3.0 | answer | 2021 | open |
| 207 | Number theory | 3.0 | answer | 2016 | open |
| 208 | Algebra | 3.0 | answer | 2021 | open |
| 209 | Geometry | 3.0 | answer | 2018 | open |
| 210 | Geometry | 3.0 | answer | 2016 | open |
| 211 | Combinatorics | 3.0 | answer | 2024 | open |
| 212 | Algebra | 3.0 | answer | 2009 | 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.