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Advent calendar 2017
6 December
All 2017 advent puzzles
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\(p(x)\) is a quadratic with real coefficients. For all real numbers \(x\),
$$x^2+4x+14\leq p(x)\leq 2x^2+8x+18$$
\(p(2)=34\). What is \(p(6)\)?
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106
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geometry
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ave
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dominos
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sum to infinity
odd numbers
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shape
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cards
addition
regular shapes
median
consecutive integers
sport
taxicab geometry
geometric mean
division
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colouring
grids
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triangles
wordplay
numbers
number
pentagons
unit fractions
coordinates
rugby
routes
perimeter
digital clocks
proportion
scales
sequences
decahedra
consecutive numbers
doubling
ellipses
dice
averages
determinants
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folding tube maps
christmas
mean
differentiation
albgebra
pascal's triangle
bases
combinatorics
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time
clocks
algebra
indices
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