mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

More doubling cribbage

Source: Inspired by Math Puzzle of the Week blog
Brendan and Adam are playing lots more games of high stakes cribbage: whoever loses each game must double the other players money. For example, if Brendan has £3 and Adam has £4 then Brendan wins, they will have £6 and £1 respectively.
In each game, the player who has the least money wins.
Brendan and Adam notice that for some amounts of starting money, the games end with one player having all the money; but for other amounts, the games continue forever.
For which amounts of starting money will the games end with one player having all the money?

Show answer & extension

If you enjoyed this puzzle, check out Sunday Afternoon Maths LII,
puzzles about games, or a random puzzle.

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

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

Archive

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