Math Riddles

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These are the best and most fun math riddles we can find. All of these tricky riddles are based on real math concepts and can be solved with purely math and logic.


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Riddle: There are three jars full of equal amounts quarters, dimes, and penny's. Which one has the highest value?

Answer: The jar full of quarters would have the highest value because a quarter is worth more than a dime and penny. Amount refers to quantity, so if they have equal amounts there will be an equal number of each.


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You have a large number of friends coming over and they all get thirsty. Your first friend asks for 1/2 a cup of water. Your second friend asks for 1/4 a cup of water. Your third friend asks for 1/8 a cup of water, etc.

How many cups of water do you need to serve your friends?

Answer: Just one. If your friends kept asking for water like this forever one cup would be enough.


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Riddle: Every time a man lies his nose grows to 150 percent of its size. Every time he tells the truth it shrinks to 50 percent of its size.

What will happen if he alternates between lies and the truth?

Answer: For every pair of a truth and a lie his nose will shrink to 75 percent of its previous size prior to this truth and lie. So the correct answer is 0. As the number of times he tells a lie and the truth ((3/4)n) approaches infinity the length of his nose approaches 0.


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Riddle: If you have 30 white socks, 22 black socks, and 14 blue socks scattered across the floor in the dark, how many would you have to grab to get a matching pair?

Answer: 4. Once you grab 4 you will definitely have 2 of the same color.


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Riddle: There are 100 passengers boarding a 100 passenger airplane. When passenger 1 gets onto the plane, he is dissoriented, so he randomly picks a seat. Each of the remaining passengers (2, 3, 4, etc.) get onto the plane and take their seat if it is available or picks one of the remaining seats at random if it is not.

What is the chance that the last passenger (passenger 100) will get his seat?

Answer: There is a 50 percent chance.

When the last passenger gets on seats 2 - 99 will be taken for sure. Each of these passengers would take their seats if they were available, so the only seat remaining at the end would be 1 or 100. So there is a 50 percent chance that passenger 100 would get seat 100.


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