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

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

Archive

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