mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

7 December

The picture below shows eight regular decagons. In each decagon, a red triangle has been drawn with vertices at three of the vertices of the decagon.
The area of each decagon is 240. What is the total area of all the red triangles?

Show answer

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2025

Advent calendar 2024

Advent calendar 2023

Advent calendar 2022


List of all puzzles

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2026