UKMT Senior Mathematical Challenge
The Senior Mathematical Challenge is a UKMT school competition that asks you to choose an efficient method under time pressure. We help students prepare in weekly Olympiad maths groups and one-to-one lessons, with work on accuracy, problem selection and the topics that cost them time.
Start with one timed diagnostic
Use the 2026 paper to see where you lose marks and to try the numerical-answer format UKMT trialled that year. If you’ve already seen it, sit an unseen older paper and do the 2026 numerical questions separately.
Open the 2026 SMC paper and solutionsSit it under paper conditions
Take 90 minutes without a calculator. Put a small mark by questions you leave for later or answers you are unsure about. Record the time at which you start your second pass.
Mark and diagnose
Choose three questions where you dropped marks. Decide whether you misread or miscalculated, missed a method or ran out of time. Try the last kind again untimed before looking at the solution.
Choose one priority for the week
If you found methods but made slips, redo a short set with a checking rule. If you missed a method, use a skill set from the six-week guide and finish with a fresh problem.
How to improve before the paper
Set a checkpoint for your second pass
Choose a time in advance to stop and check what is left. Compare two approaches in practice papers, such as leaving a difficult problem early or giving it longer when you already have useful working.
Check a numerical answer independently
For questions 23-25 on the 2026 paper, estimate the size of the result or substitute it back into the conditions. Practise copying the three digits to the answer sheet, including any leading zero.
Work back from the marks you can recover
If a long problem cost you several earlier ones, rehearse moving on. If an answer was wrong despite a sound method, add a specific check, such as confirming units or rereading what quantity the question asks for.
Prepare with Exact Science
Bring a marked practice paper to a trial if you have one. We’ll work through an unfamiliar problem and look at the choices you make along the way. That helps us recommend a group or one-to-one plan, including which topics and paper habits to work on first.
What comes after this paper?
Eligible high scorers can qualify for BMO Round 1. The Andrew Jobbings Senior Kangaroo is another follow-on for students at UK schools. If BMO is your aim, start writing full solutions to selected problems alongside your timed practice.
Frequently asked questions
When is the next Senior Mathematical Challenge?
The British Mathematical Olympiad calendar lists October 2027, with the day to be confirmed. Ask your school about its entry plans.
British Mathematical Olympiad calendarWill the next paper have three numerical questions?
UKMT described the three numerical questions as a trial for the 2026 paper. Use the 2026 paper to practise the format and check UKMT’s instructions for your own sitting.
Check the latest sitting and format with UKMTDo wrong answers cost marks?
UKMT’s SMC scoring page currently gives a deduction of one mark for a wrong answer and zero marks for a blank. Check the instructions on the paper you sit.
UKMT SMC scoring and awardsFind the right level for your preparation
Try a lesson and get a recommendation on what to work on first.