# Puzzles

## Archive

Show me a random puzzle**Most recent collections**

#### Sunday Afternoon Maths LXVII

Coloured weightsNot Roman numerals

#### Advent calendar 2018

#### Sunday Afternoon Maths LXVI

Cryptic crossnumber #2#### Sunday Afternoon Maths LXV

Cryptic crossnumber #1Breaking Chocolate

Square and cube endings

List of all puzzles

## Tags

square numbers triangle numbers polygons hexagons sport partitions factorials functions scales people maths indices multiples rectangles geometry irreducible numbers unit fractions angles parabolas circles volume arrows probability regular shapes games averages algebra palindromes chess surds lines books perimeter ellipses graphs ave percentages pascal's triangle cryptic clues colouring division star numbers floors square roots squares christmas menace shape wordplay prime numbers routes coins addition rugby dates numbers triangles remainders integers cryptic crossnumbers dodecagons chocolate means symmetry mean sums money folding tube maps digits odd numbers perfect numbers chalkdust crossnumber differentiation cards quadratics sum to infinity crossnumbers proportion integration factors dice speed 2d shapes calculus clocks probabilty bases multiplication area planes time shapes crosswords cube numbers taxicab geometry balancing spheres coordinates trigonometry sequences number doubling complex numbers grids fractions logic 3d shapes advent## 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.