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