mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

7 December

What is the area of the largest triangle that fits inside a regular hexagon with area 952?

Show answer

Dodexagon

In the diagram, B, A, C, D, E, F, G, H, I, J, K and L are the vertices of a regular dodecagon and B, A, M, N, O and P are the vertices of a regular hexagon.
Show that A, M and E lie on a straight line.

Show answer & extension

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2023

Advent calendar 2022

Advent calendar 2021

Advent calendar 2020


List of all puzzles

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2024