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 

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

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

Archive

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