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 Advent calendar 2024,
puzzles about quadrilaterals, 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

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

Archive

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