Chess Puzzles Challenge: Can You Solve These 4 Quirky Problems?
The Chess Puzzles Challenge
Today's four puzzles are inspired by chess, with problems ranging from the number of games played by players to knight movements and pawn promotion.
The Four Puzzles
1. Oddities: In a chess tournament, some players played an odd number of games. Prove that the number of such players must be even.
2. L of a trip: Can a knight in chess visit every square on a regular 8×8 chessboard exactly once, starting from the bottom right corner and ending in the top left corner?
3. Pawn return: What's the fewest number of moves needed for a pawn to leave its initial place, get promoted/queened, and then return to its original position?
4. Four knights: Show how to swap the two pairs of knights on a strangely-shaped grid.
The Puzzles' Origin
These puzzles come from We Solve Problems, a charity that runs free maths circles for secondary school pupils across the UK.