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

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

Archive

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