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Advent calendar 2022
14 December
All 2022 advent puzzles
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Holly draws a line of connected regular pentagons like this:
She continues the pattern until she has drawn 204 pentagons. The perimeter of each pentagon is 5. What is the perimeter of her line of pentagons?
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The two pentagons at the end of the pattern each contribute 4 units to the permimeter. The remaining 202 pentagons each contribute 3 units to the perimeter. This gives a total perimeter of 2×4+202×3=
614
.
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consecutive numbers
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binary
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irreducible numbers
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division
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axes
money
dominos
medians
powers
calculus
palindromes
ellipses
arrows
clocks
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factorials
integers
tournaments
parabolas
averages
means
tiling
even numbers
expansions
routes
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lines
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