Problem solving at SJWMS

SJWMS MathsSJWMSMATHS UKMTUnited KingdomMathematics Trust

Think beyond
the textbook.

Challenges for students who enjoy noticing patterns, testing ideas and finding an unexpected route.

Explore the challenge

The question looks unfamiliar.
That is the point.

UKMT problems reward careful thinking rather than remembering a method. You are not expected to finish everything.

Notice

Spot what matters

Pull useful information from a problem and ignore what does not help.

Explore

Try another route

Draw, list, simplify or work backwards when the first idea does not work.

Reason

Make the idea convincing

Check that your answer fits the conditions and that your argument really works.

700,000+

young people take part in UKMT competitions each year.

Three dates to know.

Challenge entries are organised through school. Speak to your maths teacher if you would like to take part.

  1. Senior Mathematical ChallengeWednesday · Years 12 and 13
  2. Intermediate Mathematical ChallengeWednesday · Years 9, 10 and 11
  3. Junior Mathematical ChallengeWednesday · Years 7 and 8

Qualifying rounds Intermediate Kangaroos and Olympiads take place on 18 March 2027. Junior follow-on rounds take place on 15 June 2027.

Full UKMT calendar ↗

Get used to being stuck.

The best preparation is to try a problem, pause, and then compare another approach.