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Advent calendar 2022
1 December
All 2022 advent puzzles
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One of the vertices of a rectangle is at the point \((9, 0)\). The \(x\)-axis and \(y\)-axis are both lines of symmetry of the rectangle.
What is the area of the rectangle?
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The only way this is possible is if the rectangle is this square:
The area of this square is
162
.
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Advent calendar 2023
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List of all puzzles
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addition
polygons
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routes
time
averages
numbers
cryptic clues
calculus
complex numbers
axes
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proportion
digital clocks
shapes
functions
hexagons
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matrices
combinatorics
logic
people maths
number
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3d shapes
regular shapes
bases
cryptic crossnumbers
multiplication
taxicab geometry
quadratics
pascal's triangle
quadrilaterals
palindromes
integration
coins
consecutive integers
fractions
cube numbers
sets
square numbers
colouring
planes
rectangles
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algebra
circles
balancing
decahedra
2d shapes
tiling
wordplay
christmas
digital products
digits
books
polynomials
geometry
square roots
multiples
area
clocks
unit fractions
symmetry
factors
albgebra
odd numbers
sport
advent
floors
gerrymandering
ellipses
range
geometric mean
binary
determinants
arrows
the only crossnumber
star numbers
chocolate
speed
surds
sums
triangles
perimeter
division
ave
shape
products
dodecagons
partitions
dominos
prime numbers
remainders
irreducible numbers
scales
crossnumber
graphs
tournaments
factorials
rugby
cards
median
folding tube maps
angles
indices
differentiation
cubics
chalkdust crossnumber
grids
squares
dice
probabilty
coordinates
even numbers
pentagons
tangents
money
integers
expansions
sum to infinity
volume
perfect numbers
geometric means
menace
probability
sequences
spheres
consecutive numbers
parabolas
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elections
triangle numbers
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