Maths Olympiad Prep

Library /UKMT Junior Mathematical Challenge

UKMT Junior Mathematical Challenge

175 problems here, rated 1 to 3 on our scale (Junior to AMC 10/12). Years covered: 2015–2026.

Algebra 96Combinatorics 19Geometry 9Number theory 51
#TopicDiffTypeYear
1 Number theory 1.0 answer 2015 open
2 Algebra 1.0 answer 2022 open
3 Algebra 1.0 answer 2017 open
4 Algebra 1.0 answer 2020 open
5 Algebra 1.0 answer 2016 open
6 Algebra 1.0 answer 2025 open
7 Algebra 1.0 answer 2020 open
8 Algebra 1.0 answer 2021 open
9 Algebra 1.0 answer 2016 open
10 Algebra 1.0 answer 2026 open
11 Algebra 1.0 answer 2017 open
12 Algebra 1.0 answer 2022 open
13 Algebra 1.0 answer 2022 open
14 Algebra 1.0 answer 2020 open
15 Combinatorics 1.0 answer 2025 open
16 Number theory 1.0 answer 2017 open
17 Algebra 1.0 answer 2026 open
18 Number theory 1.0 answer 2015 open
19 Number theory 1.0 answer 2021 open
20 Number theory 1.0 answer 2020 open
21 Number theory 1.0 answer 2022 open
22 Algebra 1.0 answer 2019 open
23 Algebra 1.0 answer 2016 open
24 Algebra 1.0 answer 2019 open
25 Algebra 1.0 answer 2018 open
26 Algebra 1.0 answer 2018 open
27 Algebra 1.0 answer 2026 open
28 Algebra 1.0 answer 2025 open
29 Algebra 1.0 answer 2023 open
30 Algebra 1.0 answer 2020 open
31 Algebra 1.0 answer 2019 open
32 Number theory 1.0 answer 2026 open
33 Number theory 1.0 answer 2015 open
34 Algebra 1.0 answer 2025 open
35 Algebra 1.0 answer 2025 open
36 Algebra 1.0 answer 2022 open
37 Number theory 1.0 answer 2019 open
38 Number theory 1.0 answer 2019 open
39 Number theory 1.0 answer 2025 open
40 Algebra 1.0 answer 2017 open
41 Algebra 1.0 answer 2018 open
42 Number theory 1.0 answer 2018 open
43 Algebra 1.0 answer 2020 open
44 Algebra 1.0 answer 2020 open
45 Algebra 1.0 answer 2025 open
46 Number theory 1.0 answer 2016 open
47 Algebra 1.0 answer 2016 open
48 Algebra 1.0 answer 2025 open
49 Number theory 1.0 answer 2017 open
50 Algebra 1.0 answer 2016 open
51 Algebra 1.0 answer 2026 open
52 Algebra 1.0 answer 2023 open
53 Algebra 1.0 answer 2017 open
54 Algebra 1.0 answer 2015 open
55 Algebra 1.0 answer 2019 open
56 Algebra 1.0 answer 2015 open
57 Algebra 1.0 answer 2023 open
58 Number theory 1.0 answer 2022 open
59 Number theory 1.0 answer 2021 open
60 Algebra 1.0 answer 2016 open
61 Algebra 1.0 answer 2024 open
62 Algebra 1.0 answer 2016 open
63 Algebra 1.0 answer 2015 open
64 Algebra 1.0 answer 2025 open
65 Algebra 1.0 answer 2015 open
66 Algebra 1.0 answer 2021 open
67 Algebra 1.0 answer 2022 open
68 Algebra 1.0 answer 2023 open
69 Algebra 1.0 answer 2017 open
70 Algebra 1.0 answer 2016 open
71 Number theory 1.0 answer 2025 open
72 Algebra 1.0 answer 2018 open
73 Algebra 1.0 answer 2021 open
74 Algebra 1.0 answer 2015 open
75 Algebra 1.0 answer 2017 open
76 Algebra 1.0 answer 2017 open
77 Algebra 1.0 answer 2022 open
78 Algebra 1.0 answer 2022 open
79 Combinatorics 1.0 answer 2018 open
80 Algebra 1.0 answer 2017 open
81 Algebra 1.0 answer 2016 open
82 Algebra 1.0 answer 2018 open
83 Geometry 1.0 answer 2020 open
84 Algebra 1.0 answer 2015 open
85 Number theory 1.0 answer 2023 open
86 Algebra 1.0 answer 2023 open
87 Algebra 1.0 answer 2015 open
88 Algebra 1.0 answer 2016 open
89 Number theory 1.0 answer 2023 open
90 Algebra 1.0 answer 2019 open
91 Geometry 1.0 answer 2015 open
92 Number theory 1.0 answer 2024 open
93 Algebra 1.0 answer 2016 open
94 Algebra 1.0 answer 2025 open
95 Algebra 1.0 answer 2025 open
96 Algebra 1.0 answer 2019 open
97 Algebra 1.0 answer 2021 open
98 Number theory 1.0 answer 2016 open
99 Algebra 1.0 answer 2019 open
100 Number theory 1.0 answer 2020 open
101 Algebra 1.0 answer 2018 open
102 Algebra 1.0 answer 2017 open
103 Algebra 1.0 answer 2022 open
104 Combinatorics 2.0 answer 2024 open
105 Algebra 2.0 answer 2021 open
106 Number theory 2.0 answer 2026 open
107 Number theory 2.0 answer 2023 open
108 Combinatorics 2.0 answer 2026 open
109 Number theory 2.0 answer 2021 open
110 Algebra 2.0 answer 2021 open
111 Number theory 2.0 answer 2015 open
112 Number theory 2.0 answer 2020 open
113 Number theory 2.0 answer 2023 open
114 Number theory 2.0 answer 2022 open
115 Geometry 2.0 answer 2021 open
116 Combinatorics 2.0 answer 2017 open
117 Algebra 2.0 answer 2022 open
118 Number theory 2.0 answer 2020 open
119 Combinatorics 2.0 answer 2018 open
120 Algebra 2.0 answer 2025 open
121 Number theory 2.0 answer 2020 open
122 Algebra 2.0 answer 2024 open
123 Combinatorics 2.0 answer 2020 open
124 Combinatorics 2.0 answer 2023 open
125 Algebra 2.0 answer 2023 open
126 Number theory 2.0 answer 2021 open
127 Algebra 2.0 answer 2025 open
128 Algebra 2.0 answer 2026 open
129 Number theory 2.0 answer 2020 open
130 Combinatorics 2.0 answer 2017 open
131 Algebra 2.0 answer 2025 open
132 Number theory 2.0 answer 2019 open
133 Number theory 2.0 answer 2015 open
134 Number theory 2.0 answer 2025 open
135 Algebra 2.0 answer 2024 open
136 Algebra 2.0 answer 2021 open
137 Number theory 2.0 answer 2017 open
138 Number theory 2.0 answer 2015 open
139 Number theory 2.0 answer 2020 open
140 Geometry 2.0 answer 2018 open
141 Combinatorics 2.0 answer 2021 open
142 Algebra 2.0 answer 2019 open
143 Geometry 2.0 answer 2024 open
144 Geometry 2.0 answer 2019 open
145 Combinatorics 2.0 answer 2022 open
146 Algebra 2.0 answer 2024 open
147 Algebra 2.0 answer 2026 open
148 Geometry 2.0 answer 2020 open
149 Combinatorics 2.0 answer 2015 open
150 Algebra 2.0 answer 2022 open
151 Number theory 2.0 answer 2015 open
152 Algebra 2.0 answer 2017 open
153 Number theory 2.0 answer 2017 open
154 Combinatorics 2.0 answer 2022 open
155 Number theory 2.0 answer 2019 open
156 Number theory 2.0 answer 2018 open
157 Algebra 3.0 answer 2024 open
158 Geometry 3.0 answer 2018 open
159 Number theory 3.0 answer 2025 open
160 Algebra 3.0 answer 2023 open
161 Combinatorics 3.0 answer 2018 open
162 Combinatorics 3.0 answer 2020 open
163 Combinatorics 3.0 answer 2026 open
164 Number theory 3.0 answer 2025 open
165 Combinatorics 3.0 answer 2022 open
166 Number theory 3.0 answer 2018 open
167 Algebra 3.0 answer 2023 open
168 Number theory 3.0 answer 2022 open
169 Combinatorics 3.0 answer 2021 open
170 Geometry 3.0 answer 2025 open
171 Combinatorics 3.0 answer 2026 open
172 Number theory 3.0 answer 2026 open
173 Number theory 3.0 answer 2021 open
174 Number theory 3.0 answer 2023 open
175 Number theory 3.0 answer 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.