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 money, 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

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

Archive

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