mscroggs.co.uk
mscroggs.co.uk

subscribe

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

Pizza

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 Sunday Afternoon Maths LXVII,
puzzles about digits, 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

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

Archive

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