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Advent calendar 2017
2 December
All 2017 advent puzzles
~
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There are three cards; one number is written on each card. You are told that the sums of pairs of cards are 99, 83 and 102. What is the sum of all three cards?
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Adding up all three sums of pairs (284) will give twice the sum of the three numbers. So the sum of the three numbers is 142.
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List of all puzzles
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functions
advent
multiplication
ellipses
cryptic clues
symmetry
people maths
colouring
tiling
books
surds
arrows
consecutive numbers
pascal's triangle
probabilty
sport
time
star numbers
even numbers
scales
graphs
axes
neighbours
sum to infinity
taxicab geometry
lines
mean
cubics
pentagons
speed
quadratics
sequences
partitions
gerrymandering
range
polygons
digital products
determinants
volume
wordplay
geometric means
balancing
dates
dodecagons
perimeter
dice
integration
rugby
angles
proportion
hexagons
powers
clocks
crossnumbers
median
square numbers
geometry
numbers grids
integers
the only crossnumber
medians
squares
tournaments
fractions
digits
money
planes
coordinates
factors
digital clocks
consecutive integers
calculus
coins
menace
percentages
sets
division
matrices
area
doubling
expansions
indices
factorials
prime numbers
games
tangents
decahedra
odd numbers
dominos
crosswords
routes
cryptic crossnumbers
3d shapes
averages
elections
shapes
geometric mean
2d shapes
triangle numbers
chocolate
quadrilaterals
chalkdust crossnumber
folding tube maps
circles
rectangles
probability
parabolas
differentiation
chess
perfect numbers
unit fractions
logic
combinatorics
triangles
shape
trigonometry
multiples
albgebra
square roots
cube numbers
algebra
floors
spheres
complex numbers
remainders
irreducible numbers
numbers
christmas
bases
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addition
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