UK Maths Challenge (UKMC) -

Intermediate is for students aged 13-16

These intermediate UKMC past papers are aimed for students in school years 9, 10 & 11. These papers are designed to cultivate interest in mathematics and a love of problem solving. All papers are produced by the UK Mathematics Trust (UKMT), a registered charity.  In this challenge students are required to apply mathematical reasoning, along side basic mathematical techniques to answer 25 multiple-choice questions only. Duration: 60 minutes.

Scoring


Question:1 - 15 you will recieve 5 marks per correct answer. 
BUT, lose 1 mark for every incorrect answer.


Question:16 - 25 you will recieve 6 marks per correct answer.
BUT, lose 2 marks for every incorrect answer.


Awards


All students recieve a certificate of participation. The top performers are awarded either a bronze, silver or gold certificate.  Several thousand of the highest scoring UK students, are invited to take part in a second multiple choice competition called the Pink Kangaroo (if the student is in year 10 & 11) or grey kangeroo (the student was in year 9 or lower). Entry to this challenge is strictly by invitation by UKMT only.


I DO NOT provide support/tutoring for

UKMT challenges. 

stickman writing a note

The Most Recent Intermediate Past Papers

Intermediate Maths Challenge Grade Boundaries

Year Bronze Silver Gold grey pink Cayley Hamilton Maclaurin
2000 40 55 73
2001 32 43 57
2002 53 62 72
2003 46 58 74 75 86 88 98 101
2004 40 51 68 67 79 84 93 100
2005 40 50 65 64 72 76 85 90
2006 46 58 72 72 80 84 92 99
2007 50 63 78 78 86 90 97 103
2008 42 54 70 70 82 85 95 102
2009 39 51 66 66 77 83 90 99
2010 45 56 70 70 80 83 91 97
2011 47 59 78 77 88 92 99 104
2012 50 62 77 77 87 90 96 101
2013 47 59 74 73 84 88 96 103
2014 42 55 72 67 78 90 96 103
2015 37 49 64 61 68 81 88 95
2016 40 50 62 60 66 81 89 95
2017 47 61 78 72 81 97 106 112
2018 48 59 73 68 76 93 100 104
2019 43 55 71 65 73 91 99 106
2020 60 72 89 80 89 110 117 120
2021 55 68 86 68 86 100 110 118
2022 50 65 81 65 81 101 111 117
2023 42 55 71 67 77 95 100 103
2024 47 61 77 72 84 101 106 110
2025 37 52 72 72 82 105 110 116
stick man on a laptop
Visit UKMT's website

Nrich Maths website for Problem Solving Practice At Home

A range of thought provoking and enriching mathematical activities and articles produced by Cambridge University.

Nrich Maths at home

A bank of free aware winning online mathematical activities for learners aged 11-18. Ideal problem solving activities for students to work on independently at home.

Nrich Maths Articles (for students)

A collections of articles about mathematics designed for students interested in mathematics.

Dr Kevin Olding from Mathsaurus, provides excellent resources to help students prepare for the UKMT challenges.

online course for intermediate maths challenge by Mathsaurus