__ Black and White Hats__ Week of Oct. 19 - 23

Cannibals ambush a safari in the jungle and capture three men. The cannibals give the men a single chance to escape uneaten.

The captives are lined up in order of height, and are tied to stakes. The man in the rear can see the backs of his two friends, the man in the middle can see the back of the man in front, and the man in front cannot see anyone. The cannibals show the men five hats. Three of the hats are black and two of the hats are white.

Blindfolds are then placed over each man's eyes and a hat is placed on each man's head. The two hats left over are hidden. The blindfolds are then removed and it is said to the men that if one of them can guess what color hat he is wearing they can all leave unharmed.

The man in the rear who can see both of his friends' hats but not his own says, "I don't know". The middle man who can see the hat of the man in front, but not his own says, "I don't know". The front man who cannot see ANYBODY'S hat says "I know!"

How did he know the color of his hat and what color was it?

# Apples and Friends Puzzle Week of Oct. 13 - 16

You have a basket containing ten apples. You have ten friends, who each desire an apple. You give each of your friends one apple.Now all your friends have one apple each, yet there is an apple remaining in the basket.

How?

Bucket Challenge Week of Oct. 5 - 9

There are 6 pails, 3 of the pails are filled with water. Can you move only one pail and make a pattern of: full pail, empty pail, full pail, empty pail, full pail, empty pail?

**Cut a 3x3 Cube Puzzle** Week of Sept. 28 - Oct. 2

**Imagine a 3x3x3 cube. **

**How many cuts do we need to
break it into 27 1x1x1
(individual) cubes? **

**A cut may go through
multiple pieces.**

**Digit Daze** Week of Sept. 21- 25

A number is divisible by 9 if the sum of the digits of the number is divisible by 9. The five-digit number 15 678 is divisible by 9 since the sum of the digits is 1 + 5 + 6 + 7 + 8 or 27, which is divisible by 9.

If the sum of the digits of a number is not divisible by 9, then the number is not divisible by 9. The sum of the digits of the number 12 345 is 15. Since 15 is not divisible by 9, the number 12 345 is not divisible by 9.

A student has five identical cards which each have a 3 on them and five identical cards which each have a 6 on them.

Five of the ten cards are placed beside each other to form a five-digit number. How many different five-digit numbers can be formed such that the five-digit number is divisible by 9?

**Where Are You?** Week of Sept. 14 - 18

__Problem__:** The integers greater than 1 are arranged as shown in the following chart.**

**The pattern continues. Determine the exact location of the integer 2014. State the row number and the column letter (P, Q, R, S, T).**

**The Search is On**** **Week of Sept. 8 - 11

** **

The digits 1, 2, 3, 4, and 5 are each used exactly once to create a five digit number *abcde* which satisfies the following two conditions: (i) the two digit number ab is divisible by 4; and (ii) the two digit number cd is divisible by 3. Find all five digit numbers, formed using each of the digits 1 to 5 exactly once, that satisfy both conditions.

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