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 2024

Advent calendar 2023

Advent calendar 2022

Advent calendar 2021


List of all puzzles

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2025