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