mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

Placing plates

Two players take turns placing identical plates on a square table. The player who is first to be unable to place a plate loses. Which player wins?

Show answer & extension

If you enjoyed this puzzle, check out Sunday Afternoon Maths LVIII,
puzzles about geometry, or a random puzzle.

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2025

Advent calendar 2024

Advent calendar 2023

Advent calendar 2022


List of all puzzles

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2026