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 2024

Advent calendar 2023

Advent calendar 2022

Advent calendar 2021


List of all puzzles

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2025