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

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

Archive

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