mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

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

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

Archive

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