Maths Olympiad Prep

Library /UKMT Grey Kangaroo

UKMT Grey Kangaroo

122 problems here, rated 1 to 5 on our scale (Junior to AIME, harder). Years covered: 2015–2026.

Algebra 69Combinatorics 32Geometry 3Number theory 18
#TopicDiffTypeYear
1 Number theory 1.0 answer 2017 open
2 Combinatorics 1.0 answer 2022 open
3 Algebra 1.0 answer 2020 open
4 Combinatorics 1.0 answer 2022 open
5 Algebra 1.0 answer 2017 open
6 Algebra 1.0 answer 2022 open
7 Algebra 1.0 answer 2019 open
8 Algebra 1.0 answer 2016 open
9 Algebra 1.0 answer 2021 open
10 Algebra 1.0 answer 2018 open
11 Algebra 1.0 answer 2016 open
12 Algebra 1.0 answer 2025 open
13 Algebra 1.0 answer 2018 open
14 Algebra 1.0 answer 2017 open
15 Algebra 1.0 answer 2024 open
16 Algebra 1.0 answer 2016 open
17 Algebra 1.0 answer 2018 open
18 Algebra 1.0 answer 2025 open
19 Algebra 1.0 answer 2025 open
20 Algebra 1.0 answer 2022 open
21 Algebra 1.0 answer 2026 open
22 Algebra 1.0 answer 2020 open
23 Algebra 1.0 answer 2017 open
24 Algebra 1.0 answer 2015 open
25 Algebra 1.0 answer 2020 open
26 Algebra 1.0 answer 2017 open
27 Algebra 1.0 answer 2026 open
28 Algebra 1.0 answer 2018 open
29 Combinatorics 2.0 answer 2017 open
30 Algebra 2.0 answer 2021 open
31 Algebra 2.0 answer 2026 open
32 Combinatorics 2.0 answer 2017 open
33 Algebra 2.0 answer 2019 open
34 Algebra 2.0 answer 2015 open
35 Combinatorics 2.0 answer 2016 open
36 Algebra 2.0 answer 2018 open
37 Algebra 2.0 answer 2016 open
38 Algebra 2.0 answer 2025 open
39 Algebra 2.0 answer 2019 open
40 Algebra 2.0 answer 2019 open
41 Combinatorics 2.0 answer 2021 open
42 Number theory 2.0 answer 2017 open
43 Combinatorics 2.0 answer 2026 open
44 Algebra 2.0 answer 2019 open
45 Combinatorics 2.0 answer 2024 open
46 Algebra 2.0 answer 2020 open
47 Algebra 2.0 answer 2020 open
48 Algebra 2.0 answer 2025 open
49 Algebra 2.0 answer 2024 open
50 Combinatorics 2.0 answer 2017 open
51 Combinatorics 2.0 answer 2024 open
52 Number theory 2.0 answer 2024 open
53 Algebra 2.0 answer 2016 open
54 Algebra 2.0 answer 2024 open
55 Algebra 2.0 answer 2022 open
56 Algebra 2.0 answer 2026 open
57 Combinatorics 2.0 answer 2020 open
58 Algebra 2.0 answer 2024 open
59 Algebra 2.0 answer 2022 open
60 Algebra 2.0 answer 2016 open
61 Algebra 2.0 answer 2024 open
62 Algebra 2.0 answer 2021 open
63 Number theory 2.0 answer 2016 open
64 Combinatorics 2.0 answer 2017 open
65 Number theory 2.0 answer 2017 open
66 Combinatorics 2.0 answer 2022 open
67 Algebra 2.0 answer 2020 open
68 Combinatorics 2.0 answer 2018 open
69 Algebra 2.0 answer 2017 open
70 Algebra 2.0 answer 2017 open
71 Combinatorics 2.0 answer 2018 open
72 Algebra 2.0 answer 2019 open
73 Combinatorics 2.0 answer 2019 open
74 Algebra 2.0 answer 2021 open
75 Number theory 2.0 answer 2017 open
76 Algebra 2.0 answer 2022 open
77 Combinatorics 2.0 answer 2022 open
78 Algebra 2.0 answer 2025 open
79 Algebra 2.0 answer 2016 open
80 Combinatorics 2.0 answer 2015 open
81 Algebra 2.0 answer 2019 open
82 Number theory 2.0 answer 2025 open
83 Combinatorics 2.0 answer 2020 open
84 Number theory 2.0 answer 2026 open
85 Combinatorics 2.0 answer 2020 open
86 Combinatorics 3.0 answer 2019 open
87 Combinatorics 3.0 answer 2024 open
88 Combinatorics 3.0 answer 2026 open
89 Combinatorics 3.0 answer 2026 open
90 Number theory 3.0 answer 2026 open
91 Number theory 3.0 answer 2021 open
92 Geometry 3.0 answer 2015 open
93 Algebra 3.0 answer 2026 open
94 Number theory 3.0 answer 2021 open
95 Geometry 3.0 answer 2020 open
96 Number theory 3.0 answer 2022 open
97 Number theory 3.0 answer 2019 open
98 Combinatorics 3.0 answer 2016 open
99 Number theory 3.0 answer 2016 open
100 Algebra 3.0 answer 2024 open
101 Combinatorics 3.0 answer 2022 open
102 Algebra 3.0 answer 2024 open
103 Algebra 3.0 answer 2022 open
104 Algebra 3.0 answer 2026 open
105 Number theory 3.0 answer 2025 open
106 Algebra 3.0 answer 2020 open
107 Algebra 3.0 answer 2025 open
108 Algebra 3.0 answer 2026 open
109 Algebra 3.0 answer 2019 open
110 Number theory 3.0 answer 2020 open
111 Geometry 3.0 answer 2015 open
112 Combinatorics 3.0 answer 2015 open
113 Algebra 3.0 answer 2025 open
114 Number theory 3.0 answer 2018 open
115 Combinatorics 3.0 answer 2019 open
116 Algebra 3.0 answer 2022 open
117 Algebra 3.0 answer 2021 open
118 Combinatorics 3.0 answer 2015 open
119 Combinatorics 5.0 answer 2026 open
120 Combinatorics 5.0 answer 2016 open
121 Combinatorics 5.0 answer 2021 open
122 Number theory 5.0 answer 2015 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.