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48 votes
4 answers
4k views

Can you checkmate a king you can't see?

Motivation If you play bullet chess with time management skills as poor as mine, you often end up in endgame situations that require delivering checkmate by playing several premoves in a row. For ...
noedne's user avatar
  • 19.1k
9 votes
1 answer
1k views

Who wins in this knight-placement game?

Two players take turns placing knights on the squares of a standard 8x8 chessboard, so that no knight can take another. The player who is unable to do this loses. Which player has a winning strategy ...
Will.Octagon.Gibson's user avatar
26 votes
3 answers
1k views

White (king and 2 bishops) vs Black (king and 1 knight). White to play and mate in 2

White to play and mate in 2. Attribution: Glen Ferri
Will.Octagon.Gibson's user avatar
4 votes
0 answers
207 views

Police and Thieves

I played this game when I was young, but cannot find it online. It is played on a checkers board (e.g. the black squares of a chess board) between two players P and T. The game goes as follows: P ...
user21820's user avatar
  • 1,256
18 votes
2 answers
3k views

Playing with one Queen on a chessboard

Alice and Bob play a special chess game with alternate moves. Alics starts with an empty chessboard and puts a Queen at a field in the first row (A8-H8) or the right column (H1-H8). Now Bob is moving ...
ThomasL's user avatar
  • 12.3k
6 votes
4 answers
592 views

Crazy queen in checkers

Checkers Checkers, also called draughts, is an interesting game. all pieces are placed on black tile and are all pawns at the start. When a pawn reach the final line, a powerful piece is created: the ...
Untitpoi's user avatar
  • 2,709
1 vote
2 answers
319 views

The Monster and the Chessboard [duplicate]

You have a standard checkerboard with 64 squares and a coin in each square, randomly facing heads or tails up. There is an evil monster in the room with you and he arbitrarily selects some square and ...
NL628's user avatar
  • 7,500
26 votes
3 answers
4k views

16 pawns on a chess board with no three collinear: how do I go about solving this?

Here's a problem that was posed to me but I haven't seen anything about it anywhere online! I'm beginning to wonder if I'm just getting played! You have a chessboard and sixteen pawns. The puzzle is ...
Steve DSign's user avatar
31 votes
3 answers
4k views

A lonely pawn on the chessboard

Alice and Bob and the referee Conny play the following game with a pawn on a standard $8\times8$ chessboard: In the beginning, Conny places the pawn into the center of a randomly chosen square. All $...
Gamow's user avatar
  • 45.9k
7 votes
2 answers
948 views

A prime number game

Alice and Bob play the following game on a $9\times11$ chessboard. First Alice divides the chessboard into $33$ smaller rectangles of dimensions $1\times3$ and $3\times1$. Then Bob labels each of ...
Gamow's user avatar
  • 45.9k
13 votes
4 answers
3k views

The knight's game

Alice and Bob play the following game on a standard 8 by 8 chessboard. In the very beginning, Alice picks a square on the chessboard and places a knight on this square. Then Bob and Alice alternate ...
Gamow's user avatar
  • 45.9k
27 votes
4 answers
3k views

Black wants to go first!

Billy and Matthew decide to play a game of Chess. They live far away, so they decide to do it online. Matthew wants to play first, but the game randomly gave him the color black (who goes second.) ...
warspyking's user avatar
  • 14.5k
26 votes
4 answers
2k views

Lions and Zebras on a Chess Board

The black knight is our lion chasing 8 white bishop zebras which can't capture. Can the zebras evade the lion forever, if team zebra positions all the pieces and has the first turn? Rules: The game ...
Bob's user avatar
  • 4,273
6 votes
1 answer
424 views

Checkers Against The King

The king has invented a new game called King's Checkers. The rules are simple, it's exactly like regular Checkers, the only difference? The king plays first and all his pieces are automatically "king",...
warspyking's user avatar
  • 14.5k
12 votes
2 answers
2k views

Checkers with the devil

After however much inordinate time passed for the tree-pruning game to finish, you ended up winning, and Satan was infuriated. He was sure he'd come up with a game keep you in hell. But once again, ...
user avatar
6 votes
1 answer
886 views

2 bishops versus a lone king

There are 4 pieces on the board, the white and black kings, as well as 2 white bishops (on differently colored squares). The only way a stalemate occurs is if the black king is not in check, but ...
ghosts_in_the_code's user avatar
5 votes
5 answers
2k views

Coin flipping game

An $8\times8$ checkerboard is filled with two-sided coins (that are blue on one side and red on the other side). The following picture shows three examples of a cross (multiplication sign): the five ...
Abr001am's user avatar
  • 1,004
8 votes
2 answers
873 views

Block the snake

On a $9\times10$ checkerboard with $90$ squares, a game proceeds as follows: First, you place $x$ rocks on the board. Each rock occupies a single square. No rock may touch the edge of the ...
ghosts_in_the_code's user avatar
7 votes
2 answers
615 views

Placing dominoes on a 3x100 checkerboard

Alice and Bob play a game by alternately placing dominoes on a $3\times100$ checkerboard (3 rows, 100 columns). Alice has the first move. A move of Alice consists in placing a $1\times2$ (horizontal) ...
Gamow's user avatar
  • 45.9k
2 votes
3 answers
388 views

Capture The Runaway Mouse

Say you have a grid of 16x16 squares. Label them A through P and 1 through 16. Now say that at H8 there's a mouse that moves at 1 slot every turn. Also, you get to block a tile every turn. Say the ...
warspyking's user avatar
  • 14.5k