mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

One two three

Each point on a straight line is either red or blue. Show that it's always possible to find three points of the same color in which one is the midpoint of the other two.

Show answer & extension

Tags: colouring
If you enjoyed this puzzle, check out Sunday Afternoon Maths XLIII,
puzzles about colouring, 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

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

Archive

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