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Dividing Five Diamonds Equally

How can five people divide a bag of five diamonds equally without cutting them while still leaving one diamond remaining in the sack?

Give four of the lucky folks a diamond each, then give the fifth person the bag with the remaining diamond still inside.

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Buckets of Coins

Which would be worth more, a bucket full of nickels or a half bucket of dimes?

The half bucket of dimes. It might be tempting to say they’d be worth the same, since a nickel is worth half as much as a dime. This would be accurate if they were the same size, but the dime is smaller. Thus more dimes would fit in the same space, resulting in more value for you, you lucky dog.

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Archaeologist Laughed At

An archaeologist publicizes his find, a coin marked 649 BC, but is laughed at by his peers. Why?

No coins were ever marked BC because the BC / AD dating system wasn’t even devised until 525 AD. And it wasn’t widely used until after 800 AD.

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Why This Particular Order?

Why are these letters grouped in this particular order?

1) DFGHLPRU
2) KSTV
3) CO
4) AIW
8) MN

The letters are grouped by the number of U.S. States beginning with that letter. M and N are tied for each starting eight states.

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What Letter Comes Next?

The letters in this series are ones that don’t begin something. Figure out what that something is, and what letter comes next.

B E J ?

Q. The thing they don’t begin is states in the United States of America. The final three letters in the series are X, Y and Z.

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Groups of Creatures

These are names given to groups of creatures or things, but they have been scrambled. What is the correct arrangement?

Colony of Birds
Horde of Spiders
Den of Wild Pigs
Clutter of Crows
Nest of Snakes
Park of Elks
Doylt of Ferrets
Gang of Machine Guns
Business of Swine
Volery of Artillery
Hover of Gnats
Drift of Frogs

Colony of Frogs
Horde of Gnats
Den of Snakes
Clutter of Spiders
Nest of Machine Guns
Park of Artillery
Doylt of Swine
Gang of Elks
Business of Ferrets
Volery of Birds
Hover of Crows
Drift of Wild Pigs

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Books By Charles Dickens

Pair these words to make nine titles of books by Charles Dickens:

A LITTLE    1 RUDGE
B PICKWICK  2 COPPERFIELD
C EDWIN     3 TIMES
D BARNABY   4 CHUZZLEWIT
E NICHOLAS  5 PAPERS
F HARD      6 HOUSE
G BLEAK     7 DROOD
H DAVID     8 DORRIT
I MARTIN    9 NICKLEBY

A 8 = LITTLE DORRIT
B 5 = PICKWICK PAPERS
C 7 = EDWIN DROOD
D 1 = BARNABY RUDGE
E 9 = NICHOLAS NICKLEBY
F 3 = HARD TIMES
G 6 = BLEAK HOUSE
H 2 = DAVID COPPERFIELD
I 4 = MARTIN CHUZZLEWIT

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Complete the Word Square

A word square is a combination of words that can be spelled horizontally and vertically.

The most well known is called the Sator Square (in Latin):

S A T O R
A R E P O
T E N E T
O P E R A
R O T A S

What five words complete this word square?

I T C H E S
T _ _ _ _ _
C _ _ _ _ _
H _ _ _ _ _
E _ _ _ _ _
S _ _ _ _ _

Thrust, Crisco, Hussar, Escape and Stores.

Making this lovely word square below:

I T C H E S
T H R U S T
C R I S C O
H U S S A R
E S C A P E
S T O R E S
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What is the secret to this?

What is the secret to this?

A1
C1
E3
H3

What comes next?

I2.

Each entry is a letter, in alphabetical order starting with A, followed by the number of occurrences of that letter in the phrase “What is the secret to this”.

There’s one ‘a’, thus we get A1. There are no ‘b’s so it doesn’t appear, then there’s one ‘c’, and so on.

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Wily Winifred and the Case of the Odd Numbers

Mrs. Shine was having a rough day and wanted a break. So she asked her class to calculate the sum of the first 50 odd numbers. In a few moments, Winifred was at her desk with the correct answer of 2,500. Stunned, Mrs. Shine figured she must have gotten lucky, and sent precocious Winifred back to her seat with the task of finding the sum of the first 75 odd numbers. Again, Winifred returned in seconds with the correct answer (5,625).

How did Winifred find the answer so quickly?

Winifred, being the precocious child she is, realized there was a pattern when computing smaller sums of odd numbers.

First 3: 1 + 3 + 5 = 9
First 4: 1 + 3 + 5 + 7 = 16
First 5: 1 + 3 + 5 + 7 + 9 = 25

Do you see the pattern like our dear friend Winnie?

For the first n odd numbers, the sum is equal to n2. Thus the first 50 is 502, or 2,500, and the first 75 is 752, or 5,625.

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