mscroggs
.co.uk
mscroggs
.co.uk
blog
puzzles
academic
talks
contact
subscribe
subscribe
Loading image...
Puzzles
Showing puzzles tagged "pentagons".
Show all puzzles.
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?
Show answer
Hide answer
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
.
Tags:
pentagons
End of puzzles.
Archive
Show me a random puzzle
Most recent collections
Advent calendar 2023
Advent calendar 2022
Advent calendar 2021
Advent calendar 2020
List of all puzzles
Tags
even numbers
quadrilaterals
ave
shape
perfect numbers
area
advent
money
dice
chess
crossnumber
digits
menace
integers
folding tube maps
routes
geometric mean
gerrymandering
planes
binary
proportion
bases
multiples
calculus
digital clocks
square roots
coordinates
taxicab geometry
polynomials
rugby
books
clocks
wordplay
angles
graphs
geometric means
colouring
tiling
doubling
probabilty
cube numbers
percentages
logic
lines
partitions
spheres
symmetry
probability
addition
pascal's triangle
functions
quadratics
cryptic clues
triangles
sets
shapes
perimeter
time
means
number
the only crossnumber
factorials
people maths
elections
irreducible numbers
cubics
mean
axes
chalkdust crossnumber
floors
palindromes
median
tangents
polygons
rectangles
sums
squares
square numbers
integration
division
balancing
range
combinatorics
numbers
coins
parabolas
3d shapes
scales
remainders
geometry
decahedra
factors
products
indices
pentagons
triangle numbers
grids
speed
volume
expansions
surds
arrows
chocolate
christmas
2d shapes
circles
matrices
tournaments
crossnumbers
trigonometry
dominos
multiplication
unit fractions
complex numbers
crosswords
cards
averages
dates
ellipses
games
dodecagons
albgebra
sum to infinity
fractions
sequences
digital products
consecutive integers
cryptic crossnumbers
hexagons
odd numbers
sport
star numbers
algebra
consecutive numbers
differentiation
determinants
prime numbers
regular shapes
Archive
Show me a random puzzle
▼ show ▼
▲ hide ▲
Most recent collections
Advent calendar 2023
Advent calendar 2022
Advent calendar 2021
Advent calendar 2020
List of all puzzles
Tags
2d shapes
cubics
sequences
shape
binary
ave
advent
crossnumber
elections
square roots
dice
regular shapes
dates
angles
odd numbers
even numbers
division
factors
chess
multiplication
digital products
number
perimeter
triangle numbers
median
percentages
sport
numbers
money
chalkdust crossnumber
squares
means
floors
lines
rugby
3d shapes
consecutive integers
taxicab geometry
factorials
cube numbers
the only crossnumber
star numbers
geometric means
perfect numbers
addition
integers
planes
ellipses
polynomials
prime numbers
fractions
mean
decahedra
games
expansions
colouring
probability
complex numbers
probabilty
square numbers
volume
pascal's triangle
folding tube maps
combinatorics
bases
crossnumbers
calculus
polygons
speed
parabolas
trigonometry
digital clocks
spheres
hexagons
graphs
albgebra
circles
pentagons
irreducible numbers
quadratics
tangents
menace
products
determinants
time
shapes
christmas
sums
averages
sets
partitions
integration
dodecagons
geometric mean
differentiation
cryptic clues
arrows
dominos
tournaments
logic
palindromes
gerrymandering
doubling
crosswords
coordinates
digits
area
surds
proportion
chocolate
scales
tiling
matrices
remainders
grids
axes
sum to infinity
rectangles
wordplay
consecutive numbers
balancing
quadrilaterals
triangles
symmetry
cryptic crossnumbers
indices
multiples
unit fractions
algebra
range
clocks
coins
cards
books
functions
geometry
people maths
routes
© Matthew Scroggs 2012–2024
![](javascript:showlimage("adv2022-pents.png"))
