Daily challenge

Essay competition

Build an argument worth discussing in your UCAS application.

01 / Mathematics

What is lost when a discrete optimisation problem is replaced by a continuous one?

02 / Physics & natural sciences

To what extent is physical irreversibility a consequence of probability rather than a fundamental law?

03 / Engineering

How should an engineering system be optimised when its most consequential failure cannot be assigned a reliable probability?

04 / Open topic

Choose your own question

Your question must be in the context of maths, physics or engineering.

Awards

Overall winner

£150

Award

Gold

Award

Highly Commended

All four question options are eligible for the awards.

Rules & deadlines

  • For pre-university students, including gap-year applicants.
  • 1,500 words maximum. Title and bibliography excluded; headings, captions and footnotes count.
  • Include a bibliography and cite your sources.
  • No AI. Submit your own writing, reasoning and references.
Free entry
Late entry · £20
Results

Deadlines close at 23:59 UK time. The late fee applies from 11–25 December.

Entry form not yet available. The submission link and late-payment instructions will be published here.

Use what you learn as evidence of subject exploration in your application. Torus Maths is independent of UCAS and universities; an award does not guarantee an admissions advantage.