Back to Headlines
Entertainment
Jun 04, 2026
Analyzed by GPT OSS 120B

Quirky Chess Puzzles Challenge Readers – Four Brain‑Teasers from We Solve Problems

AI Summary
The Guardian publishes four new chess‑inspired puzzles, ranging from an odd‑game parity proof to a knight’s‑tour challenge and a pawn‑promotion round‑trip, inviting readers to solve and discuss without spoilers.

What’s on the board: Four new chess‑inspired puzzles

Today’s article presents a quartet of quirky chess problems curated by We Solve Problems. The puzzles are designed for maths‑loving readers and aim to spark discussion rather than reveal solutions.

Odd‑game parity proof – why the count of odd‑play participants is even

In a tournament where not every player faces every other, some competitors play an odd number of games. The task is to prove that the number of such players must be even, a classic graph‑theoretic result.

Knight’s tour from bottom‑right to top‑left – is a full tour possible?

Starting from the bottom‑right corner of an 8×8 board, can a knight visit every square exactly once and finish in the top‑left corner? This asks for a Hamiltonian path in the knight‑move graph.

Pawn promotion round‑trip – minimal moves to return home

With both sides cooperating, determine the fewest moves for a pawn to leave its starting square, promote to a queen, and then travel back to its original position.

Swapping knights on an irregular grid – the abstract solution

A strangely‑shaped grid holds two pairs of knights. The challenge is to exchange the positions of the black knights with the white knights using only legal knight moves.

Why these puzzles matter – boosting maths circles and chess culture

  • They promote logical thinking and problem‑solving among secondary‑school students.
  • The article references recent documentaries on Judit Polgár and Hans Niemann, linking popular chess media to educational outreach.
  • We Solve Problems runs free maths circles across the UK, using puzzles like these to engage young learners.

Looking ahead – more weekly challenges from the charity

The author will return at 5 pm UK time with solutions and promises future puzzles every alternate Monday. Readers are encouraged to discuss the problems but avoid spoilers.