mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

21 December

There are 3 ways to order the numbers 1 to 3 so that no number immediately follows the number one less that itself:
Today's number is the number of ways to order the numbers 1 to 6 so that no number immediately follows the number one less that itself.

Show answer

13 December

There are 6 ways to split the sequence of the numbers 1 to 5 into three shorter sequences:
Today's number is the number of ways to split the sequence of the numbers 1 to 10 into five shorter sequences.

Show answer

18 December

Today's number is the maximum number of pieces that a (circular) pancake can be cut into with 17 straight cuts.

15 December

If the numbers 1 to 7 are arranged 7,1,2,6,3,4,5 then each number is either larger than or a factor of the number before it.
How many ways can the numbers 1 to 7 be arranged to that each number is either larger than or a factor of the number before it?

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

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

Archive

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