Educational Cards

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The golden coin game

In this take-away game you start with a pile of tokens and each turn remove between 1 and k of...

Intermediate Mathematics
Nim and the nim-sum

Nim has several rows of counters. Each turn a player removes any number of counters from a single...

Advanced Mathematics
The colour of a square from its coordinates

Every square is light or dark, and you can tell which without looking at a board. Number the files...

Beginner Mathematics
Northcott's game is Nim in disguise

Northcott's game puts a black and a white piece on each row of a board; on your turn you slide your...

Advanced Mathematics
Twelve knights guard the board

What is the fewest knights that together attack every empty square? That minimum is the knight...

Advanced Mathematics
Each square has a name

The board is a coordinate grid. The eight columns are files , labelled a to h from White's left....

Beginner Mathematics
1
Piece values as numbers

Give each piece its standard value: pawn 1, knight 3, bishop 3, rook 5, queen 9. Now the pieces are...

Beginner Mathematics
1
Balancing two armies

Build two armies of equal total value from the piece values pawn 1, knight 3, bishop 3, rook 5,...

Intermediate Mathematics
The eight queens puzzle

Place eight queens so that no two attack each other: none sharing a rank, file, or diagonal. Many...

Advanced Mathematics
Nicht angreifende Damen und Symmetrie

Zwei Damen greifen einander nicht an, wenn sie weder Reihe noch Linie noch Diagonale teilen. Mit...

Intermediate Mathematics
The pigeonhole principle

The pigeonhole principle says that if you place more items than boxes, some box holds at least two...

Intermediate Mathematics
Eine geheime Figur erschließen

Eine unbekannte Figur zeigt einige erreichbare Felder. Daraus soll ihre Zugregel erschlossen...

Intermediate Mathematics