Stretching high-attaining young people

The Junior Mathematical Olympiad is a follow-on round to the Junior Mathematical Challenge. It is a two-hour Challenge consisting of 16 problems: 10 in Section A and six in Section B. Only answers are required to the problems in Section A whereas full written solutions are required for problems in Section B.

We invite around 1,200 qualifying students from the Junior Mathematical Challenge to take part in the Junior Mathematical Olympiad. You will be notified by email if you have qualifiers for the Junior Olympiad when we release the results from the Junior Mathematical Challenge. Students who have missed the qualifying threshold and therefore do not receive an invitation may be entered into the Challenge at the discretion of their school.

The Challenge materials can be downloaded from your Challenges Profile and printed in school before the Challenge.

Date: Wednesday 14th June 2023 Please note:  Schools on China Standard Time (UTC +08:00) need to sit the Olympiad on Thursday 15th June 2023.

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

Time allowed: 2 hours

Entry fee: Free via invitation or £25 paper via discretionary

Discretionary entries will open on the same day results for the Junior Mathematical Challenge are released.

Entry deadline: You can now place orders right up to the day of the Olympiad, including on the day itself. You just need to make sure you leave yourself enough time to pre-populate, download and print your answer sheets and question papers.

How to take part

The Olympiad is by invitation (to candidates scoring above a certain threshold, which is variable from year to year) and those entered at the discretion of their schools.

Olympiad Entries

Purchasing and managing entries

Discretionary entries into the Junior Mathematical Olympiad can be purchased via your online Challenges Profile.

Qualifying students will automatically appear on your Challenges Profile.

For both qualifiers and discretionary entries you will be provided with a question paper, cover sheet and 7 master answer sheets for each student, which will need to be downloaded and printed in school. We only send out hard copy question papers for first round Challenges.

You will also be provided with an online login for each student, which enables them to log in to the Challenges site after the Olympiad has been marked to view their results and any feedback the markers have left.

Once your students have finished sitting the Junior Olympiad you will then need to upload their answer sheets to your Challenges Profile.

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

Preparing for the Challenge

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

You can download past papers, solutions and investigations here and use them as a source of high-quality problems to encourage mathematical thinking and prepare students for the Challenge. We are delighted to also 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 preparation.


Scoring rules for the Junior Mathematical Olympiad are as follows:

  • Each question in Section A is worth 1 point, each question in Section B is worth up to 10 points
  • Answers in Section B can be awarded partial marks depending on on the clarity of the participants Mathematical presentation
  • Answers left blank will be marked as 0


The top-scoring 25% of participants will receive a Certificate of Distinction, the next top 40% will receive a Certificate of Merit. The remaining students will receive either a certificate of qualification or participation depending on their entry route.

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

We award medals on a different basis to certificates. The medal-awarding score is the total score on the Section B problems. Each of the top 40 scorers receive a gold medal, the next 60 a silver medal and the next 100 a bronze medal. All medalists will also receive a book prize.

The 2021 award thresholds were: Merit 12+, Distinction 37+, Book Prize 56+, Bronze medal 37+, Silver medal 47+, Gold medal 57+

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.