mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

2 December

Today's number is the area of the largest dodecagon that it's possible to fit inside a circle with area \(\displaystyle\frac{172\pi}3\).

Show answer

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

Polygraph

Draw a regular polygon. Connect all its vertices to every other vertex. For example, if you picked a pentagon or a hexagon, the result would look as follows:
Colour the regions of your shape so that no two regions which share an edge are the same colour. (Regions which only meet at one point can be the same colour.)
What is the least number of colours which this can be done with?

Show answer & extension

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

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

Archive

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