Sunday Afternoon Maths XXXIII

 Posted on 2014-11-02 

Fair dice

Timothy and Urban are playing a game with two six-sided dice. The dice are unusual: Rather than bearing a number, each face is painted either red or blue.
The two take turns throwing the dice. Timothy wins if the two top faces are the same color, and Urban wins if they're different. Their chances of winning are equal.
The first die has 5 red faces and 1 blue face. What are the colours on the second die?

Show answer & extension

Half digits

Source: Maths Jam
Can you use each of the digits 1 to 9 to make a fraction which is equal to a half?

Show answer & extension

Tags: numbers


Twelve friends want to share a pizza. One of the friends is very fussy and will not eat the centre of the pizza.
Is it possible to split a (circular) pizza into twelve identical pieces such that there is at least one piece which does not touch the centre?

Show answer & extension

If you enjoyed these puzzles, check out Advent calendar 2019,
puzzles about triangles, or a random puzzle.


Show me a random puzzle
 Most recent collections 

Advent calendar 2019

Sunday Afternoon Maths LXVII

Coloured weights
Not Roman numerals

Advent calendar 2018

Sunday Afternoon Maths LXVI

Cryptic crossnumber #2

List of all puzzles


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


Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2020