Chess

Not only the traditional game but also ten mathematical puzzles.

Puzzle1

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Or choose one of the ten mathematical chess puzzles:

↑Drag onto the board
Let go to remove it
0

Drag a piece from the tray on the left and drop it on any square. To take a piece off, drag it back off the board or click it. You can also click an empty square to put a piece there.

Choose a puzzle

Chess is believed to have originated in Eastern India but the game we know today dates back to the 15th century.

The game above is interactive. You can drag the pieces to move them. If a piece lands on a square occupied by another piece, that piece is removed from the board.

There are also ten mathematical chess puzzles further down this page. Solve one to earn a trophy!

Mathematical Puzzles

Ten classic chessboard puzzles. Click a puzzle to try it: the board above becomes your workspace and the pieces wait for you in a tray just below it. Solve a puzzle to claim a trophy.

Independence

Fit as many pieces on the board as you can so that no piece is attacking another.

Domination

Use as few pieces as you can so that every empty square is attacked by at least one piece.

Game Rules

This is a game for two players. One player controls the black pieces and the other controls the white pieces. Players take it in turns (starting with white) to move one of their pieces. If their piece lands on the same square as an opposing piece, the piece that was landed on is out of the game.

The objective is to have the opposing king in a position where he is under attack (check) and cannot move to another square that is not under attack (checkmate).

Castling

A king can move two squares over to one side and then the rook from that side's corner moves to the square on the king's other side. To castle, it must be the very first move for both the king and the rook, there cannot be any pieces between them, and the king may not be in check or pass through check.

How the Pieces Move

King

Moves one square in any direction: vertically, horizontally or diagonally.

Queen

Moves any number of squares in any direction: vertically, horizontally or diagonally. She cannot jump over pieces.

Rook

The rook (or castle) moves any number of squares vertically or horizontally. It cannot jump over pieces.

Knight

Moves two squares vertically or horizontally then one square at right angles: an L shape. It can jump over pieces.

Bishop

Moves any number of squares diagonally. It cannot jump over pieces.

Pawn

Moves one square forward (two on its first move) but takes diagonally. A pawn reaching the far side becomes a queen.

Watch: The Mathematics of Chess

There is a lot of mathematics in the game of chess. Here are some Numberphile videos to whet your appetite.

Transum,

Friday, December 16, 2022

"Did you know that chess puzzles give pupils opportunities to practise mathematical thinking: spotting patterns, reasoning logically, visualising positions and working systematically. Finding a solution involves asking 'What if?', anticipating consequences and checking that a plan works. The board also provides a natural setting for exploring coordinates, symmetry and spatial relationships. Although expertise in the game of chess does not automatically translate into stronger mathematics, discussing and explaining solutions to chess puzzles can help pupils develop useful habits of precision and logical argument."

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