Puzzle 1
How many squares, of any size, are on a board divided up into 6 squares by 6 squares?
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Hint
How many 1 x 1 squares are there?
Answer
91 squares.
Reasoning
Squares of size:
1 x 1 = 36
2 x 2 = 25
3 x 3 = 16
4 x 4 = 9
5 x 5 = 4
6 x 6 = 1
Total = 36 + 25 + 16 + 9 + 4 + 1 = 91.
Puzzle 2
Below, you will find some eight-letter words, with only their endings remaining.
Can you find the words?
-----yee
-----egy
-----igm
-----lse
-----com
-----bet
-----lel
-----dee
Puzzle Copyright © Kevin Stone
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Hints
The first letters of the words are: E, S, P, C, I, A, P, A.
Answers
-----yee = employee
-----egy = strategy
-----igm = paradigm
-----lse = convulse
-----com = intercom
-----bet = alphabet
-----lel = parallel
-----dee = attendee
Puzzle 3
Look at the following sentence once, and once only. How many times can you find the letter F?
Furry foxes of far origin often come of age far before scientific study forecasts.
Puzzle Copyright © Kevin Stone
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Answer
There are 10 letter Fs.
Sometimes the F in 'of' aren't always counted.
Puzzle 4
A rich aristocrat decided that he would give every man 45 dollars and every woman 60 dollars.
Only one ninth of the men and only one twelfth of the women collected their dues.
Can you tell me how much money the aristocrat spent if there were 3552 people in total?
Puzzle Copyright © Kevin Stone
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Hint
It doesn't actually matter how many men or women there were.
Answer
17,760 dollars.
If there were M men, then there were (3552 − M) women.
So one ninth of the men each received 45 dollars and one twelve of the women each received 60 dollars. So the total received was:
= 45 x 1 x M + 60 x 1 x (3552 − M)
— ——
9 12
Simplify the two fractions by dividing the 45 by 9, and the 60 by 12 respectively.
= 5 x M + 5 x (3552 − M)
= 5M + 17760 − 5M
= 17760
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