mscroggs.co.uk
mscroggs.co.uk

subscribe

Advent calendar 2015

19 December

1 = 1/2 + 1/4 + 1/8 + 1/16 + 1/16. This is the sum of 5 unit fractions (the numerators are 1).
In how many different ways can 1 be written as the sum of 5 unit fractions? (the same fractions in a different order are considered the same 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

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

Archive

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