mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

5 December

Today's number is the number of ways that 35 can be written as the sum of distinct numbers, with none of the numbers in the sum being divisible by 9.
Clarification: By "numbers", I mean (strictly) positive integers. The sum of the same numbers in a different order is counted as the same sum: eg. 1+34 and 34+1 are not different sums. The trivial sum consisting of just the number 35 counts as a sum.

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

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

Archive

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