Click UKMT Challenge and scroll to the relevant section for a detailed description and everything you could possible need to want to know about the Junior Challenge and UKMT Challenge in general.
The following intemrediate papers can be found below:
- Intermediate Challenge from 1999 to 2023
- Junior Kangarooo from 2015 - 2023 (the first paper that exists is 2015)
- Junior Olympiad from 1999 - 2023 (the first paper that exists is 2015)
Pathway
The junior challenge awards are bronze, silver and gold.
You can either qualify for the Junior Kangaroo or the Junior Olympiad from the Junior Maths Challenge. The Kangaroo and Olympiad are sat on the same day. The paper you sit depends on how highly you score in the Junior Challenge.
Past papers scores (1999-2023) that obtained bronze, silver, gold in the junior challenge and qualified for the Kangaroos or Olympiad are as follows:
Year |
Brone |
Silver |
Gold |
To Qualify for Kangaroo |
To Qualify for Olympiad |
1999 |
43 |
56 |
71 |
|
97 |
2000 |
52 |
66 |
82 |
|
106 |
2001 |
58 |
73 |
88 |
|
114 |
2002 |
45 |
57 |
73 |
|
100 |
2003 |
44 |
57 |
75 |
|
105 |
2004 |
47 |
60 |
75 |
|
100 |
2005 |
51 |
64 |
79 |
|
102 |
2006 |
39 |
51 |
66 |
|
92 |
2007 |
43 |
54 |
69 |
|
94 |
2008 |
45 |
56 |
71 |
|
99 |
2009 |
45 |
57 |
72 |
|
100 |
2010 |
44 |
56 |
73 |
|
102 |
2011 |
49 |
61 |
77 |
|
104 |
2012 |
56 |
71 |
86 |
|
110 |
2013 |
49 |
63 |
82 |
|
113 |
2014 |
50 |
63 |
79 |
|
108 |
2015 |
51 |
62 |
78 |
88 |
105 |
2016 |
51 |
65 |
81 |
93 |
113 |
2017 |
52 |
63 |
77 |
86 |
107 |
2018 |
49 |
61 |
75 |
82 |
105 |
2019 |
41 |
54 |
71 |
78 |
106 |
2020 (online) |
70 |
86 |
102 |
n/a |
|
2021 (online) |
45 |
57 |
73 |
73 |
98 |
2022 (online) |
52 |
66 |
92 |
92 |
120 |
2023 |
52 |
66 |
88 |
88 |
113 |
Scores in previous years that obtained certificates in the Kangaroo:
Year |
Kangaroo Merit |
2015 |
96+ |
2016 |
95+ |
2017 |
89+ |
2018 |
96+ |
2019 |
89+ |
2020 (online) |
n/a |
2021 (online) |
97+ |
2022 (online) |
97+ |
2023 |
90+ |
Scores in previous years that obtained certificates in the Olympiad:
Year |
Merit |
Distinction |
Book Prize |
2015 |
8 |
28
|
45 |
2016 |
8 |
34 |
52 |
2017 |
|
|
|
2018 |
8 |
32 |
48 |
2019 |
8 |
45 |
59 |
2020 (online) |
n/a |
|
|
2021 (online) |
12 |
37 |
56 |
2022 (online) |
16 |
29 |
|
2023 |
21 |
36 |
all medalists |
Questions By Topic
There is a section below when questions are categorised according to topic to help students hone particular skills.
Junior Challenge:
All are harder questions from Junior Challenge past papers, i.e. the harder questions 16-25, the point at which points are lost for incorrect answers are listed below in the 'Junior Challenge By Topic' section.
Junior Olympiad:
There is also a section at the bottom which includes Junior Olympiad questions by topic.
Challenge Question Breakdown
The breakown of the the 2004-2012 papers for questions 16-25 where points are lost for incorrect answers) is as follows:
- 14 geometry questions
- 22 number (ratios, time, numerical calculations, etc) questions
- 5 number grids (filling numbers into structures according to some constraint) questions
- 23 on number theory (problems relating to integers: remainders, factors, digits, etc) questions
- 20 on 'spatial reasoning' questions
- 6 on non-applied algebra questions
Scoring
Junior Challenge:
- 5 marks for correct answers to questions 1-15
- 6 marks for correct answers to questions 16-25
- 0 marks for incorrect answers to questions 1-25
Junior Kangaroo:
- 5 marks for correct answers to questions 1-15
- 6 marks for correct answers to questions 16-25
- 0 marks for incorrect/unanswered answers to questions 1-25
Junior Olympiad:
Section A: 1 mark for correct answers to questions 1-10. They are not multiple choice but have a single numerical answer.
Section B: up to 10 marks for questions 11-16. Partial marks are given for correct working and depend on the clarity of presentation and explanation (i.e. your working out!) as much as the answers themselves. A solution with a correct answer may only score 2 out of 10 if not accompanied by any working. An incomplete solution without the right answer might score 2 or 3 marks, and near complete and complete solutions could score 8,9 or 10 marks each. If a solution is judged to be incomplete, it in marked on a 0+ basis, maximum 3 marks. If it has an evident logical strategy, it is marked on a 10-basis. Rather than to try to rush through the section and answer everything, it is advised that students should fully answer the questions that they can. This is because incomplete answers can only score a maximum of 3 marks. Students are encouraged to write complete answers to 2-4 questions rather than hurry through incomplete answers to all 6.