mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

Cube multiples

Six different (strictly) positive integers are written on the faces of a cube. The sum of the numbers on any two adjacent faces is a multiple of 6.
What is the smallest possible sum of the six numbers?

Show answer & extension

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

Tetrahedral die

When a tetrahedral die is rolled, it will land with a point at the top: there is no upwards face on which the value of the roll can be printed. This is usually solved by printing three numbers on each face and the number which is at the bottom of the face is the value of the roll.
Is it possible to make a tetrahedral die with one number on each face such that the value of the roll can be calculated by adding up the three visible numbers? (the values of the four rolls must be 1, 2, 3 and 4)

Show answer & extension

Tags: dice

Archive

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

Tags

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

Archive

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