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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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graphs
neighbours
spheres
remainders
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sets
digital products
quadratics
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dates
averages
coordinates
xor
means
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products
clocks
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folding tube maps
colouring
mean
sum to infinity
matrices
dominos
differentiation
floors
probability
books
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bases
range
ave
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doubling
division
chess
cryptic crossnumbers
addition
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volume
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multiplaction squares
pentagons
scales
shape
angles
integration
rectangles
planes
digital clocks
even numbers
3d shapes
geometric mean
sport
square roots
hexagons
routes
perimeter
time
proportion
parabolas
speed
grids
elections
tiling
circles
cubics
wordplay
dice
prime numbers
trigonometry
geometry
numbers
multiples
unit fractions
2d shapes
christmas
people maths
lines
binary
tangents
money
integers
partitions
games
palindromes
polynomials
cryptic clues
cube numbers
balancing
determinants
axes
consecutive integers
polygons
quadrilaterals
area
powers
percentages
algebra
factors
triangles
medians
indices
star numbers
squares
pascal's triangle
chalkdust crossnumber
lists
triangle numbers
median
geometric means
crossnumbers
arrows
taxicab geometry
dodecagons
square numbers
square grids
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