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 time, 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


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


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