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 2025

Advent calendar 2024

Advent calendar 2023

Advent calendar 2022


List of all puzzles

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2026