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 2024
Advent calendar 2023
Advent calendar 2022
Advent calendar 2021
List of all puzzles
Tags
probabilty
cryptic crossnumbers
averages
division
floors
fractions
prime numbers
2d shapes
bases
balancing
probability
elections
pascal's triangle
the only crossnumber
dodecagons
polygons
crosswords
folding tube maps
symmetry
doubling
mean
dates
sport
games
time
calculus
integration
tangents
advent
dominos
chess
dice
digits
surds
cards
square numbers
indices
logic
shape
powers
combinatorics
percentages
squares
odd numbers
triangles
consecutive integers
geometric means
parabolas
square roots
speed
sum to infinity
differentiation
lines
multiplication
area
albgebra
unit fractions
numbers
numbers grids
grids
algebra
crossnumbers
chalkdust crossnumber
menace
colouring
3d shapes
perfect numbers
neighbours
cube numbers
wordplay
planes
sums
geometry
star numbers
number
functions
spheres
integers
multiples
cryptic clues
money
tournaments
cubics
axes
even numbers
determinants
digital clocks
circles
gerrymandering
means
medians
polynomials
christmas
angles
geometric mean
books
sequences
clocks
factorials
rectangles
partitions
people maths
median
digital products
graphs
proportion
quadratics
palindromes
trigonometry
matrices
coins
tiling
volume
range
binary
taxicab geometry
complex numbers
square grids
factors
decahedra
shapes
sets
ellipses
perimeter
irreducible numbers
consecutive numbers
products
chocolate
scales
ave
triangle numbers
pentagons
addition
rugby
regular shapes
expansions
remainders
quadrilaterals
hexagons
coordinates
arrows
routes
Archive
Show me a random puzzle
▼ show ▼
▲ hide ▲
Most recent collections
Advent calendar 2024
Advent calendar 2023
Advent calendar 2022
Advent calendar 2021
List of all puzzles
Tags
balancing
factors
arrows
menace
albgebra
spheres
3d shapes
probability
sequences
determinants
wordplay
quadrilaterals
polynomials
medians
consecutive integers
fractions
rugby
cryptic crossnumbers
remainders
speed
sets
dates
taxicab geometry
prime numbers
digital clocks
integration
probabilty
expansions
addition
shapes
coins
2d shapes
colouring
range
digital products
tangents
proportion
unit fractions
even numbers
regular shapes
crossnumbers
floors
squares
axes
bases
coordinates
symmetry
ave
dice
square numbers
clocks
crosswords
differentiation
combinatorics
pascal's triangle
lines
chalkdust crossnumber
time
division
geometric mean
shape
multiples
palindromes
games
decahedra
dominos
tournaments
indices
numbers grids
elections
triangles
area
cards
tiling
the only crossnumber
matrices
chocolate
partitions
perfect numbers
cube numbers
consecutive numbers
powers
parabolas
odd numbers
geometric means
integers
folding tube maps
sums
rectangles
factorials
calculus
christmas
advent
square grids
chess
triangle numbers
books
functions
scales
mean
number
people maths
numbers
dodecagons
volume
graphs
cubics
square roots
sport
products
geometry
routes
complex numbers
circles
doubling
means
digits
hexagons
gerrymandering
perimeter
logic
binary
irreducible numbers
quadratics
cryptic clues
median
grids
star numbers
surds
multiplication
polygons
percentages
angles
pentagons
trigonometry
averages
sum to infinity
neighbours
planes
money
algebra
ellipses
© Matthew Scroggs 2012–2025