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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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integers
chocolate
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balancing
digital clocks
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angles
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2d shapes
ellipses
multiplication
triangles
expansions
tournaments
coordinates
percentages
digits
cubics
determinants
christmas
dodecagons
crosswords
crossnumber
regular shapes
gerrymandering
geometry
people maths
wordplay
albgebra
triangle numbers
prime numbers
ave
floors
algebra
decahedra
sum to infinity
games
averages
sums
division
sport
sets
squares
integration
quadrilaterals
routes
chalkdust crossnumber
quadratics
consecutive numbers
digital products
means
chess
dates
coins
range
cube numbers
even numbers
circles
speed
scales
arrows
functions
cryptic crossnumbers
shapes
pentagons
menace
folding tube maps
square roots
cryptic clues
fractions
volume
spheres
indices
irreducible numbers
polynomials
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