mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

Rotating round table

At a large dinner, 24 people are to sit evenly spaced around a round table. Place cards are laid to show where everyone should sit. Unfortunately nobody notices the name cards and the guests sit down with nobody in the correct seat.
Show that it is possible to rotate the table so that at least two people will be in the correct seats.

Show answer & extension

Tags: numbers
If you enjoyed this puzzle, check out Sunday Afternoon Maths XLIV,
puzzles about numbers, 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

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

Archive

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