Download past papers, solutions and investigations

Promoting a love of problem solving

The Junior Mathematical Challenge is a 60-minute, multiple-choice competition aimed at students across the UK.

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.

How do I take part?

The competition is aimed at students based in the UK. Entries must be made by registered UKMT centres, not private tutors, individual students or their parents.

It is easy to take part:

  1. You enter the competition online and pay the entry fee, provided you are from a registered UKMT centre.
  2. In any scenario, the rescheduled date of the JMC will be decided when schools re-open.
    Rest assured, the paper will be made available before that date (whenever it turns out to be!).
    Scenario 1:
    Covid19 doesn't prevent us getting your competition pack to your school before the Challenge date.
    Scenario 2: Covid19 prevents us from getting your pack to you. You will be able to download and print the question paper at least 2 days before the event. Follow the invigilator instructions (available now) and print the grid supplied with the self-marking instructions (available now) for your pupils to write their answers on.
  3. On the Challenge date, your students sit the Challenge under exam conditions.
  4. Scenario 1: You post the completed machine-readable answer sheets back to us for marking.
    Scenario 2: You self-mark and return a spreadsheet of scores, as per the self-marking instructions (available now).
  5. We notify you of the results as soon as possible.

What happens after the Challenge?

To recognize the highest performers in the Challenge, we award the top-scoring 40% of participants Bronze, Silver and Gold certificates in the ratio 3:2:1.

In addition, we usually invite around 1200 of the very highest performers to take part in either the Junior Mathematical Olympiad and around 8000 to take part in either the Junior Kangaroo. This event may be postponed or cancelled because of Covid19, although we will try not to.

How can I prepare 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.

Teachers can use past Junior Mathematical Challenge papers as a source of high-quality problems to encourage their students to think mathematically and to prepare for the competition. We are 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 students to prepare for our competitions.

What is the entry fee used for?

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.

Can you help us?

If you or someone you know has benefited from our activities then please consider making a donation.

Find out more about volunteering with us.

Junior Mathematical Challenge 2020 (10 entries)
Thu 30 Apr 2020
23:59 on Tue 28 Apr 2020
Open to
Year 8 or below S2 or below Year 9 or below
£13.00 per entry