Puzzle 1
Painter Pete, our local DIY expert, is renovating the local hospital.
He has to number each of the rooms in the hospital with plastic numbers.
However, he has run out of the number 9.
Unfortunately, he has no spare 6's available, which certainly would have been useful.
How many 9's must Pete buy in order to number all 1,000 rooms?
Puzzle Copyright © Kevin Stone
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Hint
Don't forget the extra 9's in 90, 91, etc.
Answer
300.
Reasoning
Start with: 9, 19, 29, 39, 49, 59, 69, 79, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99 – which is 20 9's.
We then repeat this for 100, 200, 300, up to 900 – which is 200 9's.
But from 900 to 999 we have an extra 100 9's as each starts with a 9.
So the total is 300.
Puzzle 2
Below you will find 9 well-known five-letter words, with only their endings remaining.
Once you have found the words, their initial letters are an anagram of a 9-letter word.
What is the word?
--xic
--ien
--nre
--ppo
--pil
--loo
--day
--uip
--elf
Puzzle Copyright © Kevin Stone
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Hint
The anagrammed word begins with the letter S.
Answers
Spaghetti.
--xic = t oxic
--ien = a lien
--nre = g enre
--ppo = h ippo
--pil = p upil
--loo = i gloo
--day = t oday
--uip = e quip
--elf = s helf
Giving the letters TAGHPITES, which is an anagram of SPAGHETTI.
Puzzle 3
What number comes next in this sequence:
1 · 4 · 8 · 13 · 21 · 30 · 36 · ?
Puzzle Copyright © Kevin Stone
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Hint
Try writing the numbers out as letters.
Answer
45.
Reasoning
Each term increases by the number of letters in the previous term (ignoring any hyphens).
1 + length("ONE") = 4
4 + length("FOUR") = 8
8 + length("EIGHT") = 13
13 + length("THIRTEEN") = 21
21 + length("TWENTYONE") = 30
30 + length("THIRTY") = 36
36 + length("THIRTYSIX") = 45
Puzzle 4
Place JANUARY, FEBRUARY, MARCH, APRIL, MAY, JUNE, JULY, AUGUST, SEPTEMBER, OCTOBER, NOVEMBER, DECEMBER, into the grid. The sequence will snake around, but cannot go diagonally, nor cross itself.
Puzzle Copyright © Cihan Altay
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