Explore student competitions.

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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.

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An all-Ireland science and technology competition where students conduct original research and present their findings at a national exhibition. Open to secondary-school students entering individually or in groups of up to three through their school. Rated Advanced Level, with difficulty mainly coming from project selection, sustained research and in-person judging.

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A UK constitutional studies competition where students create a poster or short video explaining important developments in the UK constitution. Open to UK students aged 14–19, entering individually or in teams through a school, college or homeschool setting. Rated Intermediate Level, with difficulty mainly coming from constitutional understanding, clear explanation and creative presentation.

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An international mathematics competition where students solve 25 multiple-choice problems in algebra, geometry, number theory and probability. Open to students in Grade 10 or below who are under 17.5 years old, through an approved competition centre. Rated Advanced Level, with difficulty mainly coming from non-routine problem-solving, time pressure and increasingly challenging questions.

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An international mathematics competition where students solve 25 multiple-choice problems covering the full high-school curriculum, excluding calculus. Open to students in Grade 12 or below who are under 19.5 years old, through an approved competition centre. Rated Advanced Level, with difficulty mainly coming from advanced problem-solving, broad subject coverage and time pressure.

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An England, Wales and Northern Ireland mock trial competition where students take courtroom roles and argue a specially written criminal case. Open to students aged 12–14 from non-fee-paying schools. Rated Advanced Level, with difficulty mainly coming from understanding legal procedure, preparing arguments, teamwork and confident courtroom performance.

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An international mathematical modeling contest where teams apply mathematics, data analysis and written communication to a real-world problem. Open to teams of up to four eligible students from the same school, institution or approved program, with a faculty advisor. Rated Advanced, with difficulty mainly coming from building a defensible model and producing a complete technical report within the contest period.

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A UK short story competition where children write an original story of up to 500 words. Open to children aged 5–11 living in the UK, with separate categories for ages 5–7 and 8–11. Rated Beginner Level, with difficulty mainly coming from originality, storytelling and expressing a complete idea within a short word limit.

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Rated Expert, This international school geography competition asks students to develop an evidence-led response to the 2026 migration question. It is free for eligible 16-18-year-old geography students, with each entry uploaded by a teacher before the deadline. The main challenge is combining current evidence, geographical analysis and independent judgement in a concise essay or StoryMap.

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A UK physics olympiad where students solve advanced written problems requiring full working and mathematical reasoning. Open mainly to Year 13 students through participating schools, with overseas participation available in some regions. Rated Expert Level, with difficulty mainly coming from challenging multi-step problems, broad physics knowledge and rigorous written solutions.

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A UK-based mathematics competition where pupils solve 25 multiple-choice problems requiring logical thinking and problem-solving. Open to primary-school pupils aged 9–11 through participating schools worldwide. Rated **Beginner Level**, with difficulty mainly coming from non-routine questions, time pressure and increasingly challenging problems.

QUICK SUMMARY

A UK astronomy competition where students answer short online questions on space, the night sky and basic astrophysics. Aimed mainly at Year 10 students, with participation encouraged across Years 7–11 through registered schools. Rated Intermediate Level, with difficulty mainly coming from unfamiliar astronomy concepts, scientific reasoning and time pressure.