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Advent calendar 2022
14 December
All 2022 advent puzzles
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Holly draws a line of connected regular pentagons like this:
She continues the pattern until she has drawn 204 pentagons. The perimeter of each pentagon is 5. What is the perimeter of her line of pentagons?
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The two pentagons at the end of the pattern each contribute 4 units to the permimeter. The remaining 202 pentagons each contribute 3 units to the perimeter. This gives a total perimeter of 2×4+202×3=
614
.
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sequences
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2d shapes
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spheres
cryptic clues
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tiling
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3d shapes
scales
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mean
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cubics
triangles
symmetry
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fractions
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albgebra
planes
combinatorics
addition
rugby
tangents
chalkdust crossnumber
grids
ave
dates
volume
digital products
games
christmas
area
unit fractions
partitions
powers
coins
palindromes
squares
floors
proportion
sets
quadrilaterals
perimeter
regular shapes
algebra
elections
calculus
tournaments
ellipses
products
factors
integers
multiples
differentiation
hexagons
dominos
remainders
arrows
number
colouring
square numbers
range
star numbers
surds
median
crosswords
pentagons
odd numbers
probabilty
coordinates
angles
neighbours
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chocolate
even numbers
taxicab geometry
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shape
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pascal's triangle
geometric mean
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© Matthew Scroggs 2012–2025
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