The 2025 Tom Rocks Maths Essay Competition in partnership with the Oxford University Lifelong Learning has reached its thrilling conclusion. After showcasing all 326 essays, across 17 groups, I have selected my 25 favourites for the shortlist.

Part II contains 13 essays selected from groups 9-17. The 12 shortlisted essays from Groups 1-8 can be found in Part I here.

The two winners, receiving a cash prize and entry onto an online course of their choice at the Oxford University Department for Continuing Education, will be announced shortly. Best of luck to everyone!

Just outrageously fun – and what fantastic illustrations.

Some lovely maths, and useful if you enjoy a game of cards.

Who hasn’t wondered how to reach the moon by folding paper?

One of my favourite problems explained perfectly.

A very creative use of AI – and I learned something new about language!

I have a soft spot for all things Pokémon, but when the maths is explained this well, it’s hard not to love it even more.

An excellent explanation of one of the most difficult problems in all of mathematics.

If you’ve ever wondered how Luke made the impossible shot to destroy the Death Star, this one’s for you.

A lovely insight into how mathematicians approach a difficult problem.

A great exploration of the idea of six degrees of separation.

Endless equations with incredibly satisfying results.

A great introduction to the Cantor Set and its link to fractals.

Maths + Football = the perfect combination.