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

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

Archive

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