UKMT Senior Kangaroo
139 problems here, rated 1 to 3 on our scale (Junior to AMC 10/12). 139 of them ask for a proof. Years covered: 2015–2025.
| # | Topic | Diff | Type | Year | |
|---|---|---|---|---|---|
| 1 | Algebra | 1.0 | proof | 2024 | open |
| 2 | Number theory | 1.0 | proof | 2019 | open |
| 3 | Number theory | 1.0 | proof | 2020 | open |
| 4 | Algebra | 1.0 | proof | 2015 | open |
| 5 | Combinatorics | 1.0 | proof | 2023 | open |
| 6 | Number theory | 1.0 | proof | 2021 | open |
| 7 | Algebra | 1.0 | proof | 2020 | open |
| 8 | Number theory | 1.0 | proof | 2019 | open |
| 9 | Algebra | 1.0 | proof | 2025 | open |
| 10 | Algebra | 1.0 | proof | 2020 | open |
| 11 | Geometry | 1.0 | proof | 2016 | open |
| 12 | Algebra | 1.0 | proof | 2020 | open |
| 13 | Combinatorics | 1.0 | proof | 2021 | open |
| 14 | Number theory | 1.0 | proof | 2023 | open |
| 15 | Number theory | 1.0 | proof | 2021 | open |
| 16 | Number theory | 1.0 | proof | 2021 | open |
| 17 | Algebra | 1.0 | proof | 2022 | open |
| 18 | Number theory | 1.0 | proof | 2023 | open |
| 19 | Number theory | 1.0 | proof | 2016 | open |
| 20 | Algebra | 1.0 | proof | 2015 | open |
| 21 | Algebra | 1.0 | proof | 2024 | open |
| 22 | Geometry | 2.0 | proof | 2016 | open |
| 23 | Combinatorics | 2.0 | proof | 2022 | open |
| 24 | Number theory | 2.0 | proof | 2016 | open |
| 25 | Combinatorics | 2.0 | proof | 2024 | open |
| 26 | Algebra | 2.0 | proof | 2019 | open |
| 27 | Number theory | 2.0 | proof | 2021 | open |
| 28 | Algebra | 2.0 | proof | 2023 | open |
| 29 | Algebra | 2.0 | proof | 2022 | open |
| 30 | Algebra | 2.0 | proof | 2025 | open |
| 31 | Algebra | 2.0 | proof | 2020 | open |
| 32 | Geometry | 2.0 | proof | 2017 | open |
| 33 | Algebra | 2.0 | proof | 2016 | open |
| 34 | Geometry | 2.0 | proof | 2015 | open |
| 35 | Algebra | 2.0 | proof | 2023 | open |
| 36 | Algebra | 2.0 | proof | 2018 | open |
| 37 | Combinatorics | 2.0 | proof | 2025 | open |
| 38 | Algebra | 2.0 | proof | 2016 | open |
| 39 | Algebra | 2.0 | proof | 2016 | open |
| 40 | Algebra | 2.0 | proof | 2024 | open |
| 41 | Combinatorics | 2.0 | proof | 2017 | open |
| 42 | Number theory | 2.0 | proof | 2022 | open |
| 43 | Algebra | 2.0 | proof | 2024 | open |
| 44 | Algebra | 2.0 | proof | 2018 | open |
| 45 | Algebra | 2.0 | proof | 2015 | open |
| 46 | Combinatorics | 2.0 | proof | 2020 | open |
| 47 | Algebra | 2.0 | proof | 2020 | open |
| 48 | Number theory | 2.0 | proof | 2021 | open |
| 49 | Geometry | 2.0 | proof | 2022 | open |
| 50 | Combinatorics | 2.0 | proof | 2024 | open |
| 51 | Number theory | 2.0 | proof | 2020 | open |
| 52 | Number theory | 2.0 | proof | 2018 | open |
| 53 | Algebra | 2.0 | proof | 2019 | open |
| 54 | Geometry | 2.0 | proof | 2016 | open |
| 55 | Number theory | 2.0 | proof | 2023 | open |
| 56 | Geometry | 2.0 | proof | 2017 | open |
| 57 | Number theory | 2.0 | proof | 2023 | open |
| 58 | Algebra | 2.0 | proof | 2022 | open |
| 59 | Algebra | 2.0 | proof | 2016 | open |
| 60 | Combinatorics | 2.0 | proof | 2023 | open |
| 61 | Number theory | 2.0 | proof | 2024 | open |
| 62 | Number theory | 2.0 | proof | 2020 | open |
| 63 | Geometry | 2.0 | proof | 2020 | open |
| 64 | Algebra | 2.0 | proof | 2023 | open |
| 65 | Number theory | 2.0 | proof | 2025 | open |
| 66 | Number theory | 2.0 | proof | 2017 | open |
| 67 | Algebra | 2.0 | proof | 2022 | open |
| 68 | Number theory | 2.0 | proof | 2020 | open |
| 69 | Combinatorics | 2.0 | proof | 2017 | open |
| 70 | Algebra | 3.0 | proof | 2020 | open |
| 71 | Algebra | 3.0 | proof | 2015 | open |
| 72 | Number theory | 3.0 | proof | 2021 | open |
| 73 | Algebra | 3.0 | proof | 2025 | open |
| 74 | Number theory | 3.0 | proof | 2019 | open |
| 75 | Geometry | 3.0 | proof | 2016 | open |
| 76 | Number theory | 3.0 | proof | 2017 | open |
| 77 | Algebra | 3.0 | proof | 2019 | open |
| 78 | Geometry | 3.0 | proof | 2022 | open |
| 79 | Number theory | 3.0 | proof | 2022 | open |
| 80 | Combinatorics | 3.0 | proof | 2023 | open |
| 81 | Geometry | 3.0 | proof | 2015 | open |
| 82 | Number theory | 3.0 | proof | 2023 | open |
| 83 | Number theory | 3.0 | proof | 2017 | open |
| 84 | Number theory | 3.0 | proof | 2017 | open |
| 85 | Algebra | 3.0 | proof | 2015 | open |
| 86 | Number theory | 3.0 | proof | 2017 | open |
| 87 | Geometry | 3.0 | proof | 2023 | open |
| 88 | Number theory | 3.0 | proof | 2021 | open |
| 89 | Number theory | 3.0 | proof | 2016 | open |
| 90 | Number theory | 3.0 | proof | 2018 | open |
| 91 | Combinatorics | 3.0 | proof | 2021 | open |
| 92 | Geometry | 3.0 | proof | 2021 | open |
| 93 | Number theory | 3.0 | proof | 2020 | open |
| 94 | Geometry | 3.0 | proof | 2023 | open |
| 95 | Geometry | 3.0 | proof | 2017 | open |
| 96 | Combinatorics | 3.0 | proof | 2024 | open |
| 97 | Geometry | 3.0 | proof | 2020 | open |
| 98 | Number theory | 3.0 | proof | 2025 | open |
| 99 | Geometry | 3.0 | proof | 2017 | open |
| 100 | Number theory | 3.0 | proof | 2015 | open |
| 101 | Number theory | 3.0 | proof | 2016 | open |
| 102 | Algebra | 3.0 | proof | 2025 | open |
| 103 | Geometry | 3.0 | proof | 2017 | open |
| 104 | Combinatorics | 3.0 | proof | 2015 | open |
| 105 | Algebra | 3.0 | proof | 2025 | open |
| 106 | Combinatorics | 3.0 | proof | 2023 | open |
| 107 | Combinatorics | 3.0 | proof | 2015 | open |
| 108 | Combinatorics | 3.0 | proof | 2016 | open |
| 109 | Geometry | 3.0 | proof | 2019 | open |
| 110 | Combinatorics | 3.0 | proof | 2016 | open |
| 111 | Combinatorics | 3.0 | proof | 2023 | open |
| 112 | Combinatorics | 3.0 | proof | 2022 | open |
| 113 | Geometry | 3.0 | proof | 2025 | open |
| 114 | Geometry | 3.0 | proof | 2022 | open |
| 115 | Combinatorics | 3.0 | proof | 2020 | open |
| 116 | Geometry | 3.0 | proof | 2022 | open |
| 117 | Number theory | 3.0 | proof | 2019 | open |
| 118 | Number theory | 3.0 | proof | 2024 | open |
| 119 | Algebra | 3.0 | proof | 2019 | open |
| 120 | Number theory | 3.0 | proof | 2016 | open |
| 121 | Algebra | 3.0 | proof | 2018 | open |
| 122 | Combinatorics | 3.0 | proof | 2016 | open |
| 123 | Geometry | 3.0 | proof | 2024 | open |
| 124 | Number theory | 3.0 | proof | 2025 | open |
| 125 | Algebra | 3.0 | proof | 2015 | open |
| 126 | Algebra | 3.0 | proof | 2022 | open |
| 127 | Number theory | 3.0 | proof | 2025 | open |
| 128 | Number theory | 3.0 | proof | 2023 | open |
| 129 | Combinatorics | 3.0 | proof | 2024 | open |
| 130 | Algebra | 3.0 | proof | 2018 | open |
| 131 | Number theory | 3.0 | proof | 2019 | open |
| 132 | Algebra | 3.0 | proof | 2022 | open |
| 133 | Number theory | 3.0 | proof | 2019 | open |
| 134 | Combinatorics | 3.0 | proof | 2016 | open |
| 135 | Algebra | 3.0 | proof | 2018 | open |
| 136 | Combinatorics | 3.0 | proof | 2015 | open |
| 137 | Algebra | 3.0 | proof | 2025 | open |
| 138 | Algebra | 3.0 | proof | 2017 | open |
| 139 | Algebra | 3.0 | proof | 2021 | 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.