Promoting a love of problem solving

The Junior Mathematical Challenge is a 60-minute, multiple-choice Challenge.

It encourages mathematical reasoning, precision of thought, and fluency in using basic mathematical techniques to solve interesting problems.

The problems on the Junior Mathematical Challenge are designed to make students think. Most are accessible, yet still challenge those with more experience.

Date: 27-28 April 2022 - Please note:  Schools on China Standard Time (UTC +08:00) need to sit the Challenge on Friday 29th April.

Eligible year groups: England Wales and Overseas - Year 8 and below, Scotland - S2 or below, Northern Ireland - Year 9 or below

Time allowed: 60 minutes

Entry fee: £13 for a pack of 10 entries

Entries open now!

Entry deadline (paper): Midnight, Sunday 3rd April 2022

Entry deadline (online): Midnight, Tuesday 26th April 2022

How to take part

  1. Entries must be made by registered UKMT centres on behalf of students.
  2. You can order a paper or online version or a combination of both (schools outside of the UK can only participate online)
  3. The Challenge must be sat under exam conditions.
  4. We mark both the paper and online entries electronically and notify you of the results.

Challenge entries

Purchasing entries

Entries into the Junior Mathematical Challenge can be purchased via your online Challenges Profile.

If you purchase online entries you will be provided with an online login for each student, which enables them to log in to the Challenges site and participate in an online format.

If you purchase paper entries we will send you question papers via post, however answer sheets will need to be downloaded and printed in school. Your student's answer sheets will then need to be uploaded to your Challenges Profile for us to mark electronically. Please note that we are no longer able to mark hard copy answer sheets, so please ensure these are not sent back to the UKMT via post.

Download the Challenge Handbook to help navigate you through hosting the Junior Mathematical Challenge. 

Preparing for the Challenge

We hope that taking part in the Junior Mathematical Challenge is a stimulating and rewarding experience for all students, whether or not they have prepared.

You can utilise our previous online Challenges, download past papers, solutions and investigations here. They are a great resource containing high-quality problems designed to encourage mathematical thinking and prepare students for the Challenge. We are also delighted to be working with DrFrostMaths to help teachers use past problems in the classroom.

We also sell downloadable past papers and books which can help with your preparation.


Scoring rules for the Junior Mathematical Challenge are as follows:

  • 5 marks are awarded for each correct answer to questions 1 - 15
  • 6 marks are awarded for each correct answer to questions 16 - 25
  • In the Junior Mathematical Challenge you will NOT lose marks for getting questions wrong
  • Answers left blank will be marked as 0

Awards and Follow-on rounds

To recognize the highest performers in the Challenge, we award the top-scoring 50% of participants Bronze, Silver and Gold certificates in the ratio 3:2:1. Students that are 'Best in Year' or 'Best in School' will also receive a badge to denote this on their certificates. Students not amongst the high scorers will receive a Certificate of Participation.

Certificates are pre-populated with student names and can be downloaded and printed as soon as results are released.

In addition, we invite around 1,200 of the very highest performers to take part in the Junior Olympiad and over 10,000 to take part in the Junior Kangaroo.

The 2022 award thresholds were:

Gold 84+, Silver 66+, Bronze 52+, Junior Kangaroo 92+ (UK only), Junior Mathematical Olympiad 120+

Contributing to our work

As a charity, we do not make a profit from entry fees. We spend all the money we raise on advancing the education of young people in mathematics. If you would like to support us further then please consider making a donation.

Our volunteers are at the heart of everything UKMT does, from creating the Challenges to running our Enrichment activities. If you would like to find out more about volunteering with us please do get in touch.