Maths Olympiad Prep

Library /UKMT Junior Kangaroo

UKMT Junior Kangaroo

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

Algebra 61Combinatorics 37Geometry 9Number theory 42
#TopicDiffTypeYear
1 Number theory 1.0 answer 2015 open
2 Algebra 1.0 answer 2015 open
3 Algebra 1.0 answer 2016 open
4 Algebra 1.0 answer 2023 open
5 Algebra 1.0 answer 2022 open
6 Algebra 1.0 answer 2019 open
7 Algebra 1.0 answer 2026 open
8 Algebra 1.0 answer 2026 open
9 Number theory 1.0 answer 2017 open
10 Algebra 1.0 answer 2016 open
11 Number theory 1.0 answer 2021 open
12 Algebra 1.0 answer 2015 open
13 Geometry 1.0 answer 2017 open
14 Algebra 1.0 answer 2016 open
15 Algebra 1.0 answer 2021 open
16 Algebra 1.0 answer 2017 open
17 Number theory 1.0 answer 2016 open
18 Algebra 1.0 answer 2019 open
19 Algebra 1.0 answer 2022 open
20 Algebra 1.0 answer 2016 open
21 Number theory 1.0 answer 2017 open
22 Algebra 1.0 answer 2021 open
23 Number theory 1.0 answer 2024 open
24 Algebra 1.0 answer 2024 open
25 Algebra 1.0 answer 2016 open
26 Algebra 1.0 answer 2021 open
27 Combinatorics 1.0 answer 2026 open
28 Number theory 1.0 answer 2023 open
29 Combinatorics 1.0 answer 2015 open
30 Algebra 1.0 answer 2023 open
31 Algebra 1.0 answer 2025 open
32 Algebra 1.0 answer 2025 open
33 Number theory 1.0 answer 2026 open
34 Algebra 1.0 answer 2015 open
35 Algebra 1.0 answer 2026 open
36 Algebra 1.0 answer 2024 open
37 Number theory 1.0 answer 2025 open
38 Algebra 1.0 answer 2022 open
39 Algebra 1.0 answer 2016 open
40 Number theory 1.0 answer 2021 open
41 Combinatorics 1.0 answer 2015 open
42 Number theory 1.0 answer 2022 open
43 Number theory 1.0 answer 2018 open
44 Algebra 1.0 answer 2019 open
45 Algebra 1.0 answer 2018 open
46 Algebra 1.0 answer 2018 open
47 Algebra 1.0 answer 2023 open
48 Algebra 1.0 answer 2022 open
49 Algebra 1.0 answer 2021 open
50 Combinatorics 1.0 answer 2022 open
51 Geometry 1.0 answer 2017 open
52 Algebra 1.0 answer 2017 open
53 Algebra 2.0 answer 2024 open
54 Combinatorics 2.0 answer 2023 open
55 Algebra 2.0 answer 2026 open
56 Combinatorics 2.0 answer 2021 open
57 Combinatorics 2.0 answer 2023 open
58 Combinatorics 2.0 answer 2026 open
59 Combinatorics 2.0 answer 2016 open
60 Algebra 2.0 answer 2021 open
61 Algebra 2.0 answer 2018 open
62 Algebra 2.0 answer 2022 open
63 Geometry 2.0 answer 2016 open
64 Number theory 2.0 answer 2017 open
65 Algebra 2.0 answer 2022 open
66 Number theory 2.0 answer 2023 open
67 Combinatorics 2.0 answer 2018 open
68 Combinatorics 2.0 answer 2017 open
69 Combinatorics 2.0 answer 2019 open
70 Algebra 2.0 answer 2015 open
71 Algebra 2.0 answer 2019 open
72 Number theory 2.0 answer 2024 open
73 Algebra 2.0 answer 2016 open
74 Geometry 2.0 answer 2021 open
75 Combinatorics 2.0 answer 2016 open
76 Number theory 2.0 answer 2019 open
77 Geometry 2.0 answer 2016 open
78 Algebra 2.0 answer 2018 open
79 Algebra 2.0 answer 2017 open
80 Algebra 2.0 answer 2024 open
81 Algebra 2.0 answer 2026 open
82 Number theory 2.0 answer 2018 open
83 Number theory 2.0 answer 2021 open
84 Geometry 2.0 answer 2025 open
85 Algebra 2.0 answer 2021 open
86 Combinatorics 2.0 answer 2023 open
87 Number theory 2.0 answer 2016 open
88 Combinatorics 2.0 answer 2023 open
89 Algebra 2.0 answer 2024 open
90 Number theory 2.0 answer 2019 open
91 Algebra 2.0 answer 2019 open
92 Number theory 2.0 answer 2022 open
93 Number theory 2.0 answer 2015 open
94 Number theory 2.0 answer 2019 open
95 Combinatorics 2.0 answer 2021 open
96 Algebra 2.0 answer 2024 open
97 Combinatorics 2.0 answer 2024 open
98 Number theory 2.0 answer 2023 open
99 Combinatorics 2.0 answer 2019 open
100 Number theory 2.0 answer 2015 open
101 Geometry 2.0 answer 2025 open
102 Number theory 2.0 answer 2024 open
103 Number theory 2.0 answer 2017 open
104 Algebra 2.0 answer 2019 open
105 Combinatorics 2.0 answer 2019 open
106 Number theory 2.0 answer 2024 open
107 Combinatorics 2.0 answer 2015 open
108 Number theory 2.0 answer 2016 open
109 Combinatorics 2.0 answer 2021 open
110 Algebra 2.0 answer 2019 open
111 Combinatorics 2.0 answer 2016 open
112 Number theory 2.0 answer 2018 open
113 Algebra 2.0 answer 2017 open
114 Number theory 2.0 answer 2015 open
115 Algebra 2.0 answer 2017 open
116 Combinatorics 3.0 answer 2026 open
117 Number theory 3.0 answer 2024 open
118 Algebra 3.0 answer 2015 open
119 Algebra 3.0 answer 2025 open
120 Number theory 3.0 answer 2025 open
121 Number theory 3.0 answer 2018 open
122 Algebra 3.0 answer 2023 open
123 Combinatorics 3.0 answer 2018 open
124 Combinatorics 3.0 answer 2026 open
125 Combinatorics 3.0 answer 2024 open
126 Combinatorics 3.0 answer 2023 open
127 Number theory 3.0 answer 2019 open
128 Combinatorics 3.0 answer 2024 open
129 Combinatorics 3.0 answer 2025 open
130 Algebra 3.0 answer 2022 open
131 Combinatorics 3.0 answer 2024 open
132 Combinatorics 3.0 answer 2015 open
133 Combinatorics 3.0 answer 2022 open
134 Geometry 3.0 answer 2018 open
135 Number theory 3.0 answer 2021 open
136 Combinatorics 3.0 answer 2022 open
137 Number theory 3.0 answer 2017 open
138 Number theory 3.0 answer 2025 open
139 Number theory 3.0 answer 2016 open
140 Combinatorics 3.0 answer 2025 open
141 Combinatorics 3.0 answer 2015 open
142 Algebra 3.0 answer 2021 open
143 Geometry 3.0 answer 2024 open
144 Algebra 3.0 answer 2023 open
145 Number theory 3.0 answer 2023 open
146 Number theory 3.0 answer 2025 open
147 Number theory 3.0 answer 2026 open
148 Combinatorics 3.0 answer 2026 open
149 Combinatorics 5.0 answer 2026 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.