mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

The mutilated chessboard

You are given a chessboard where two diagonally opposite corners have been removed and a large bag of dominoes of such size that they exactly cover two adjacent squares on the chessboard.
Is it possible to place 31 dominoes on the chessboard so that all the squares are covered? If yes, how? If no, why not?

Show answer & extension

Tags: chess
If you enjoyed this puzzle, check out Sunday Afternoon Maths XV,
puzzles about chess, or a random puzzle.

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2023

Advent calendar 2022

Advent calendar 2021

Advent calendar 2020


List of all puzzles

Tags

dodecagons taxicab geometry bases quadrilaterals axes integers cube numbers parabolas indices doubling logic squares perfect numbers floors prime numbers lines money determinants elections 3d shapes dominos algebra trigonometry products time partitions regular shapes spheres area geometric means balancing scales advent sport numbers menace calculus shape matrices clocks angles albgebra range odd numbers probabilty the only crossnumber consecutive integers proportion division surds circles chalkdust crossnumber probability sums ave quadratics crossnumber crossnumbers shapes sequences rectangles rugby colouring folding tube maps dice complex numbers pascal's triangle perimeter chess addition cryptic crossnumbers coins means crosswords irreducible numbers tournaments square roots median decahedra gerrymandering routes polygons games speed sets multiplication remainders square numbers 2d shapes pentagons books integration multiples factors digital clocks averages cards graphs tiling people maths digits dates chocolate ellipses percentages tangents cryptic clues volume palindromes sum to infinity differentiation factorials grids cubics mean binary consecutive numbers star numbers triangles hexagons combinatorics christmas unit fractions digital products planes wordplay triangle numbers coordinates number geometric mean symmetry expansions functions arrows geometry fractions polynomials even numbers

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2024