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Advent calendar 2022
14 December
All 2022 advent puzzles
~
More information
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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pentagons
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complex numbers
elections
palindromes
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pentagons
sequences
square roots
crossnumber
numbers
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speed
chalkdust crossnumber
cryptic clues
rugby
lines
tournaments
chocolate
bases
probability
expansions
unit fractions
fractions
crosswords
consecutive numbers
coins
2d shapes
calculus
logic
integration
sets
scales
doubling
gerrymandering
time
angles
chess
even numbers
squares
functions
games
cryptic crossnumbers
factors
proportion
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triangle numbers
dice
irreducible numbers
people maths
polygons
digital clocks
range
books
shapes
grids
division
averages
means
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menace
mean
sum to infinity
money
sport
addition
volume
christmas
integers
the only crossnumber
combinatorics
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graphs
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products
median
parabolas
number
tiling
perimeter
factorials
remainders
prime numbers
decahedra
triangles
matrices
circles
shape
polynomials
coordinates
axes
dodecagons
clocks
symmetry
differentiation
consecutive integers
albgebra
planes
digital products
geometry
sums
spheres
quadrilaterals
taxicab geometry
percentages
determinants
advent
perfect numbers
odd numbers
3d shapes
algebra
multiplication
indices
dominos
tangents
partitions
star numbers
colouring
rectangles
digits
multiples
routes
folding tube maps
ave
cards
arrows
trigonometry
probabilty
hexagons
regular shapes
floors
geometric means
pascal's triangle
geometric mean
area
quadratics
wordplay
cube numbers
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