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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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tournaments
floors
range
averages
3d shapes
folding tube maps
triangle numbers
square numbers
hexagons
sets
chalkdust crossnumber
coordinates
unit fractions
functions
expansions
people maths
complex numbers
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determinants
speed
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dates
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shape
games
dominos
powers
tangents
bases
colouring
fractions
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regular shapes
trigonometry
elections
prime factors
polygons
routes
books
menace
grids
money
tiling
gerrymandering
proportion
factors
2d shapes
doubling
indices
geometric means
axes
planes
crossnumbers
addition
rugby
calculus
surds
ellipses
matrices
odd numbers
multiples
digits
division
algebra
integration
dice
remainders
triangles
probability
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sequences
consecutive integers
palindromes
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digital products
mean
consecutive numbers
products
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medians
perimeter
sport
angles
lines
combinatorics
sum to infinity
spheres
star numbers
symmetry
pascal's triangle
binary
pentagons
area
means
scales
time
number
chocolate
coins
perfect numbers
parabolas
logic
christmas
arrows
graphs
volume
median
dodecagons
percentages
ave
numbers
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squares
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cryptic crossnumbers
balancing
square grids
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geometric mean
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