Riddle:

This number added to it's square, and the digits of that summation added together, bring it back to itself. What is it?

3. 3 squared is 9. 3+9=12. Take the two digits of the summation and add them; 1+2=3. In short; 3-9-12-3. This can also work with the number 0 and 9.

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Riddle:

A 300 ft. train is traveling 300 ft. per minute must travel through a 300 ft. long tunnel.  How long will it take the train to travel through the tunnel?

Two minutes. It takes the front of the train one minute and the rest of the train will take two minutes to clear the tunnel.

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Riddle:

There is a creature which could double its size every day. So, if the creature is put in a tank then it will fill the tank in 10 days.

How many days would it take for the creature to fill 1/2 and 1/4 of the tank?

9 days to fill 1/2 and 8 days to fill 1/4 of the tank.  If the creature fills the tank in 10 days and it doubles every day, on the ninth day it would fill 1/2 the tank. Thus on the 8th day it will fill 1/4 of tank.

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Riddle:

Place three matches on a table. Tell a friend to add two more matches to make eight.

Add two matches to make a roman numeral eight.

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Riddle:

How can you measure nine minutes with have two hourglasses, one four minute and one seven minute?

Turn over both hourglasses at once. When the four-minute hourglass runs out, turn it over. When the seven-minute hourglass runs out, turn it over. When the four-minute timer runs out this time (eight minutes have elapsed), the seven-minute hourglass has been running for one minute. Now turn over the seven minute timer back over. When the timer runs out, nine minutes have elapsed.

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Riddle:

A hundred stones are placed, in a straight line, a yard distant from each other. How many yards must a person walk, who undertakes to pick them up, and place them in a basket stationed one yard from the first stone?

In solving this question it is clear that to pick up the first stone and put it into the basket, the person must walk two yards, one in going for the stone and another in returning with it; that for the second stone he must walk four yards, and so on increasing by two as far as the hundredth, when he must walk two hundred yards, so that the sum total will be the product of 202 multiplied by 50, or 10,100 yards. If any one does not see why we multiply 202 by 50 in getting the answer, we refer him to his arithmetic.

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Riddle:

If two's company and three's a crowd, what are four and five?

Four and five is nine.

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Riddle:

A man bumps into his mathematician friend on the street that he hasn't seen in 5 years. The man asks the mathematician how old his children are. The mathematician, who always replies in riddles said, "I now have three children. The sum of their ages is equal to the number of windows on the building in front of you and the product of their ages equals 36." The friend then says "I need one more piece of information." The mathematician then replies "My youngest child has blue eyes." What are the ages of the mathematicians three children?

They are 6, 6, and 1.

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Riddle:

Tom volunteered to be the chief organizer for the world's tether ball championships. There were 657 contestants from around the world. The tournament was set up whereby the winner would advance and the loser would be eliminated. Since there was an odd number of participants, the initial pairing leaves one player out. That player gets a bye and automatically advances to the next round. How many matches will Tom have to schedule to determine the tether ball champion?

656 matches will be needed.

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Riddle:

A certain number has three digits. The sum of the three digits equals 36 times this number. Seven times the left digit plus 9 is equal to 5 times the sum of the two other digits. 8 times the second digit minus 9 is equal to the sum of the first and third.

What is the number?