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 games, 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

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

Archive

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