Puzzle 1
Using all of the letters A to Z, each once only, complete these common words.
cl--h
co--h
di-r-
-rea-
in-e-
-ok-r
-a-or
-ua-l
re-e-
-to-e
s-am-
ya--t
-eb-a
Puzzle Copyright © Kevin Stone
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Hint
The 4th word begins with the letter F.
Answers
cl--h = cloth (OT)
co--h = cough (UG)
di-r- = diary (AY)
-rea- = freak (FK)
in-e- = index (DX)
-ok-r = joker (JE)
-a-or = manor (MN)
-ua-l = quail (QI)
re-e- = rebel (BL)
-to-e = stove (SV)
s-am- = swamp (WP)
ya--t = yacht (CH)
-eb-a = zebra (ZR)
This puzzle isn't guaranteed to have a unique answer, can you find another?
Puzzle 2
What word comes next:
jangled · febrifuge · marbles · apricot · mayflower · jungle · julienne · ?
Choose from:
augment, elephant, autumn, juiciest
Puzzle Copyright © Kevin Stone
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Hint
Look at the start of each word.
Answer
augment.
The first three letters are the same as the first three letters of the months in order.
Puzzle 3
Can you find three consecutive prime numbers …
… which total 190,747 when multiplied together?
Puzzle Copyright © Kevin Stone
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Hint
Try finding the cube root of 190,747.
Answer
53, 59, and 61.
Reasoning
Start by taking the cube root of 190,747, which is approximately 57.56.
The next highest prime number is 59:
190,747 ÷ 59 = 3,233
Let's try the next prime number, which is 61:
3,233 ÷ 61 = 53
53, 59, and 61, are all prime, and are consecutive, so this is the answer.
Double-Checking
53 x 59 x 61 = 190,747
Puzzle 4
Which is larger:
seconds in a week
minutes in a year
Puzzle Copyright © Kevin Stone
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Hint
There are 60 seconds in a minute, and 60 minutes in an hour.
Answer
Seconds in a week.
Reasoning
There are 60 x 60 x 24 x 7 = 604,800 seconds in a week.
There are 60 x 24 x 365 = 525,600 minutes in a (non-leap) year.
