mscroggs.co.uk
mscroggs.co.uk
Click here to win prizes by solving the mscroggs.co.uk puzzle Advent calendar.
Click here to win prizes by solving the mscroggs.co.uk puzzle Advent calendar.

subscribe

Puzzles

The taxman

In a very strange country, the tax system works as follows.
£1, £2, £3 up to £12 are available.
You pick an amount. You keep this amount, but the taxman takes any factors of it. You cannot pick any amount without a factor.
This continues until you can take no more money. The taxman gets any remaining money.
For example, you might play as follows:
In this example, you end with £22 and the taxman ends with £56.
Is it possible to get more money than the taxman? What is the most you can get?

Show answer & extension

Tags: numbers, money
If you enjoyed this puzzle, check out Sunday Afternoon Maths XLII,
puzzles about numbers, or a random puzzle.

Archive

Show me a random puzzle
 Most recent collections 

Sunday Afternoon Maths LXVII

Coloured weights
Not Roman numerals

Advent calendar 2018

Sunday Afternoon Maths LXVI

Cryptic crossnumber #2

Sunday Afternoon Maths LXV

Cryptic crossnumber #1
Breaking Chocolate
Square and cube endings

List of all puzzles

Tags

planes doubling algebra probability number chess remainders geometry coins volume square roots wordplay lines coordinates dates dodecagons spheres partitions triangle numbers graphs cryptic crossnumbers menace star numbers multiplication surds functions 3d shapes dice arrows crosswords crossnumbers rugby triangles palindromes prime numbers angles 2d shapes multiples probabilty complex numbers scales clocks averages pascal's triangle rectangles proportion christmas logic cryptic clues mean floors bases money sequences means square numbers ave sport ellipses shapes chalkdust crossnumber shape speed digits regular shapes irreducible numbers integration integers advent polygons cards quadratics sums hexagons symmetry balancing area sum to infinity factors squares addition trigonometry colouring unit fractions folding tube maps calculus perfect numbers differentiation factorials grids games taxicab geometry cube numbers chocolate circles division percentages odd numbers books numbers indices routes time fractions people maths perimeter parabolas

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2019