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