Explore student competitions.

QUICK SUMMARY

A UK mathematics competition where students solve 20 challenging integer-answer problems requiring logical and non-routine thinking. Open to Year 13 or below students at UK schools who qualify through the Senior Mathematical Challenge or are entered at their school’s discretion. Rated Advanced Level, with difficulty mainly coming from selective qualification, increasingly demanding problems and the need to produce exact answers without multiple-choice options.

QUICK SUMMARY

Rated Beginner, this creative mathematics opportunity invites school and community learners across the island of Ireland to show where mathematics appears in everyday life. Participants create and submit a poster rather than sit a timed paper. The main challenge is noticing a genuine mathematical idea, explaining it accurately and presenting the observation through an original, readable visual.

QUICK SUMMARY

A US, England and Wales mathematical modelling competition where teams use maths and data to solve an open-ended real-world problem within 14 hours. Open to teams of three to five eligible secondary-school students, mainly US high-school juniors and seniors and sixth-form students aged 16–19 in England and Wales. Rated Expert Level, with difficulty mainly coming from mathematical modelling, data analysis, technical writing and solving a complex problem under strict time pressure.

QUICK SUMMARY

Difficulty varies by division from Advanced to Expert, HMMT Season 30 combines an in-person November tournament at Harvard with a substantially harder February tournament at MIT. Eligible students worldwide may apply through an adult coach as a team or individual, with places normally allocated by lottery. Both events mix individual, team and rapid Guts rounds; the main challenge is sophisticated timed problem solving, especially February's proof work.

QUICK SUMMARY

Rated Intermediate, A long-running school mathematics programme offering grade-level contests and a six-meet high-school sequence. Schools register students from grade four through high school, with separate grade and Algebra Course 1 options and paper or online administration. Questions begin accessibly and rise sharply, rewarding concise reasoning while giving teachers material for later classroom discussion.

QUICK SUMMARY

A UK mathematical olympiad where students solve demanding proof-based problems across two rounds. Open to full-time secondary-school students through registered UKMT centres, with progression based mainly on performance in the Senior Mathematical Challenge and BMO Round 1. Rated Expert Level, with difficulty mainly coming from advanced problem-solving, rigorous proofs and highly selective progression.

QUICK SUMMARY

A UK mathematical olympiad where students solve four exceptionally difficult proof-based problems. Open mainly to around 100 top performers from BMO Round 1, with discretionary school entries also permitted. Rated Expert Level, with difficulty mainly coming from advanced problem-solving, rigorous proofs and highly selective progression towards UK IMO training.

QUICK SUMMARY

A UK-based mathematics competition where students solve 25 multiple-choice problems requiring logical reasoning and non-routine problem-solving. Open to students in Year 11 or below, or equivalent, through participating UK and overseas schools. Rated Intermediate Level, with difficulty mainly coming from increasingly challenging questions, time pressure and negative marking on later problems.

QUICK SUMMARY

A UK team mathematics competition where students solve collaborative problems across group, crossnumber, shuttle and relay rounds. Open to teams of four from eligible UK schools, mainly covering Years 8–9 or equivalent. Rated Advanced Level, with difficulty mainly coming from non-routine problem-solving, time pressure, teamwork and selective progression to the national final.

QUICK SUMMARY

A UK mathematical olympiad where students solve six challenging proof-based problems in the Cayley, Hamilton or Maclaurin paper for their year group. Open to top performers in the Intermediate Mathematical Challenge, including eligible overseas students. Rated Advanced Level, with difficulty mainly coming from non-routine problem-solving, rigorous written proofs and selective qualification.

QUICK SUMMARY

Rated Intermediate, this island-of-Ireland competition is for post-primary students aged 19 or under, entering individually or in teams of up to three through a teacher. Students investigate a question and present their analysis on a statistical poster. The main challenge is using data responsibly and turning methods, findings and limitations into a clear visual argument.

QUICK SUMMARY

A UK-based mathematics competition where students solve 25 multiple-choice problems requiring logical and non-routine thinking. Open to students in Year 8 or below, or equivalent, through participating UK and overseas schools. Rated Intermediate Level, with difficulty mainly coming from increasingly challenging problems, time pressure and unfamiliar problem-solving.