Pick a group from 2 to 6 students

You can move my desk or sit on the floor but if you move my desk you will put them back before the end of the period

This is a competition between all classes and each other

A milkman has two empty jugs: a three gallon jug and a five gallon jug.  How can he measure exactly one gallon without wasting any milk?

The milkman filled the three gallon jug, and then emptied the contents into the five gallon jug.  He then filled the three gallon jug again, and continued to fill the five gallon jug until it was full.  The milk remaining in the three gallon jug was precisely one gallon.

You are in the dark, and on the floor there are six shoes of three colors, and a heap of twenty-four socks, black and brown.  How many socks and shoes must you take into the light to be certain that you have a matching pair of socks and a matching pair of shoes?

Three socks and four shoes would guarantee that you would have a matching pair of each.  Since there are only two colors of socks, it doesn't matter how many are in the heap, as long as you take at least three, you are certain to have two of the same.  As for the shoes, you must pick four, because selecting only three could result in one shoe in each of the three colors!

There are three playing cards lying face up, side by side.  A five is just to the right of a two.  A five is just to the left of a two.  A spade is just to the left of a club, and a spade is just to the right of a spade. 

What are the three cards?

OR

A. The number of false statements here is one.

B. The number of false statements here is two.

C. The number of false statements here is three.

D. The number of false statements here is four.

Which of the above statements is true?

Option "C" is the answer: three statements are false.  Since each statement concludes that there is a different number of false statements, that proves that only one statement can be correct (hence the object is to decide which statement is true).  Given that one statement is true, by definition, the other three must be false!

What is the four-digit number in which the first digit is one-third the second, the third is the sum of the first and second, and the last is three times the second?

1349

Today little Frederick and his mother visited a school and a family. While they were there, they saw a band, checked out the litter, and noticed a sleuth standing nearby. Later that day, they watched an army and a troop for quite a while, and noticed they were standing beside a battery. As they were leaving to go home that day, Frederick and his mother saw a party just near the den and were indeed very happy.

What was happening here?

Frederick and his mother were at the zoo.

'school' of whales 'family' of otters 'band' of gorillas 'litter' of puppies 'sleuth' of bears 'army' of herrings 'troop' of dogfish 'battery' of barracuda 'party' of rainbow fish 'den' of snakes

What one subject is not being taught in your school that you would love to see added to your learning experience?

Assume 9 is twice 5; how will you write 6 times 5 in the same system of notation?

The answer is 27.  Once you assume that 9 is twice 5, you conclude that 5 = 4.5 (9/2).  Therefore, 6 times 4.5 is 27.

Adam scored 24 points in a game of basketball. He shot 4 three pointers but scored nothing from the free throw line. How many scoring shots did he have altogether?

10 4 three pointers 6 baskets

What number comes next?

20, 28, 40, 56, ______

8, 26, 56, 100, 160, 238, ______

76

The number of water lilies on the small lake doubles every day. When there is one water lily on the lake, it takes 60 days for the entire lake to be covered with water lilies. If it starts with 2 water lilies it takes 59 days to cover. If the lake is half covered how many days until it is completely covered?

1 Day, If the lake doubles everyday and the lake is half covered the next day it will be covered

What is the next letter in the sequence?

D F G H

J, they are in order just all vowels are removed

If you were in charge of planning something really special that could cheer up a group of sick kids at a nearby hospital, what would you plan?

Change one letter at a time, making a new word at each step.

FOOT

_ _ _ _

_ _ _ _

_ _ _ _

_ _ _ _

_ _ _ _

LIMP

Amy needs to connect her TV and DVD using 5 cables. For it to work properly Amy must get the connections exactly right. How many ways are there that won’t work for Amy

119, there are 120 ways to plug it in but only one is correct

Name as many prime number as you can in 1 minute.

One father said to another: “If you multiply the ages of my four children, you get 39.” How old are the children?

Come up with as many scenarios as you can

1, 1, 1, 39 1, 1, 3, 13

LIVE is to VILE as 3162 is to _____

6132

Which is the odd one out? Wrestling Football Cricket Ping Pong Volleyball Golf Rugby Polo

Wrestling it doesn’t use a ball

The man and his son have ages whose digits are the reverse of each other. The difference between their ages is 27. How old are they?

Come up with as many scenarios as possible

If you could carve any image you wanted into the side of a mountain, what would you sculpt out of the stone?

Is the blue on the inner left back or the outer left front?

Jenny and Yemini each started out with the same numbers of marbles. After Jenny bought 35 more, and Yemini lost 15, they now have 100 marbles between them. How many marbles did they each have initially?

They each had 40

Change one letter at a time, making a new word at each step.

Clip

_ _ _ _

_ _ _ _

_ _ _ _

Stay

A little wooden man is on top of an old clock. Every time clock strikes once the man jumps twice. The clock strikes every hour, striking the number of the hours. How many times does the little man jump in 24 hours?

12 am starts a new day!

288

Frank weighs half as much as John, and Hubert weighs three times as much as Frank. Their combined weight is 720 pounds. How much does each man weigh?

If John weighs twice as much as Frank, and Hubert three times as much, dividing their total weight by six gives us Franks weight (think x + 2x + 3x = 720). 720 divided by 6 tells us that Frank weighs, 120 pounds, so John weighs 240 pounds and Hubert 360.

What if a banana tasted like a pineapple? If you choose any fruit at all and make it taste like another fruit, which fruit would you choose and which fruit would it now taste like?

What is so delicate that it breaks if you even mention its name?

Silence

You are a prisoner sentenced to death. The Emperor offers you a chance to live by playing a simple game. He gives you 50 black marbles, 50 white marbles and 2 empty bowls. He then says, "Divide these 100 marbles into these 2 bowls. You can divide them any way you like as long as you use all the marbles. Then I will blindfold you and mix the bowls around. You then can choose one bowl and remove ONE marble. If the marble is WHITE you will live, but if the marble is BLACK... you will die."

How do you divide the marbles up so that you have the greatest probability of choosing a WHITE marble?

It won’t be 100% full proof but your chances are better

Place 1 white marble in one bowl, and place the rest of the marbles in the other bowl (49 whites, and 50 blacks).

This way you begin with a 50/50 chance of choosing the bowl with just one white marble, therefore life! BUT even if you choose the other bowl, you still have ALMOST a 50/50 chance at picking one of the 49 white marbles.

What word completes this sequence: 40, 30, 15?

There are 5 houses in 5 different colors. In each house lives a person with a different nationality. The 5 owners drink a certain type of beverage, smoke a certain brand of cigar, and keep a certain pet. No owners have the same pet, smoke the same brand of cigar, or drink the same beverage.

Somebody owns a fish. The question is: who?

Hints:The Brit lives in the red house.

The Swede keeps dogs as pets. The Dane drinks tea. The green house is on the left and next to the white house. The green homeowner drinks coffee. The person who smokes Pall Mall rears birds. The owner of the yellow house smokes Dunhill. The man living in the center house drinks milk. The Norwegian lives in the first house. The man who smokes Blends lives next to the one who keeps cats. The man who keeps the horse lives next to the man who smokes Dunhill. The owner who smokes Blue master drinks orange soda. The German smokes Prince. The Norwegian lives next to the blue house. The man who smokes Blends has a neighbor who drinks water.

The German has the fish

The Seven Bridges of Konigsberg

The people wondered whether or not one could walk around the city in a way that would involve crossing each bridge exactly once. Try it. Sketch the above map of the city on a sheet of paper and try to 'plan your journey' with a pencil in such a way that you trace over each bridge once and only once and you complete the 'plan' with one continuous pencil stroke.

Suppose they had decided to build one fewer bridge in Konigsberg, so that the map looked like this:

Now try the problem

Rearrange three golf balls so that the triangular pattern points down instead of up

How many triangles are located in the image below?

27 triangles.  There are 16 one-cell triangles, 7 four-cell triangles, 3 nine-cell triangles, and 1 sixteen-cell triangle.

How many squares can you create in this figure by connecting any 4 dots (the corners of a square must lie upon a grid dot).

There are 11 squares total; 5 small, 4 medium, and 2 large.

Name all Pythagorean triples you can in one minute.

Two fathers and two sons sat down to eat eggs for breakfast. They ate exactly three eggs, each person had an egg. The riddle is for you to explain how

1 grandfather, 1 father, 1 son

In a small town, the only barber is named Figaro. Some residents have bears and do not shave and still other shave themselves. Of those who do not have beards, however, Figaro shaves all who do not shave themselves. He shaves non of those who do shave themselves, for every man either shaves himself or Figaro shaves him, and no man adopts both methods. Does Figaro have a beard?

He has a beard

In a group of 20 boys, 14 have blue eyes, 12 have black hair, 11 are skinny, and 10 are tall. How many boys have all four features?

Two planes headed towards each other, and are currently 440 miles apart. If one is going 240 miles per hour and the other 360 miles per hour, how far apart will they be four minutes before they meet?

40 miles apart. Combining their speeds we know that they are closing the gap at 600 miles per hour, which is 10 miles per minute (600 divided by 60 minutes in an hour). Therefore they will go 40 miles in the last four minutes (4 minutes times 10 miles).

Which is the odd one out Elephant Sheep Pig Lizard Panda Platypus Tiger

Lizard, the rest are mammals

Five family members for a family portrait. How many combinations of people could pose for a photo?

120

The following verse spells out a word, letter by letter.  "My first" refers to the word's first letter, and so on.  What's the word that this verse describes?

My first is in fish but not in snailMy second in rabbit but not in tailMy third in up but not downMy fourth in tiara not in crownMy fifth in tree you plainly seeMy whole a food for you and me

F R U I T

Place the numbers 1 through 9 in the circles below, such that each side of the triangle adds up to 17

Complete the square logically.

Each symbol is associated with another's position; this upside-down spade is always to the left of a right-side-up heart.

Using six contiguous straight lines, connect all of the sixteen circles shown below. solution

          

If you look, you can't see me.If you see me, you cannot see anything else.I can make you walk if you can't.Sometimes I speak the truth.And sometimes I lie.

What am I?

A Dream.

Frank leaves home.  When he tries to return, a man wearing a mask blocks his path.

1.) What is Frank doing? 2.) What is the masked man's occupation? 3.) Where is Frank's "safe place?"

1.) Playing Baseball 2.) A Catcher 3.) 3rd Base

How is it possible to cut a traditional circular cake into 8 equal size pieces, with only 3 cuts?

Make the first two cuts as cross-sections, making 4 equal pieces.  The third and final cut is made horizontally through the middle, making a total of 8 pieces.

If you add the age of a man to the age of his wife, the result is 91.  He is now twice as old as she was when he was as old as she is now.

How old is the man and his wife?

The man is 52 and his wife is 39.

The puzzle refers to the man as once being as old as the wife is "now."  This gives you the first important piece of information; the man is older than the wife.  Second, you know that the two ages will add up to 91.  Third, you know that their difference in age is a constant variable.  You can't, however, assume that they are close in age, but they must both be middle aged, otherwise it would be difficult to generate a number as high as 91 under the parameters of the problem.

So, after gathering this information, and some guess and check work, you'd find that the man is now twice the age (52) of her age (26) when he was the age she is now (39).

There are three boxes, one contains only apples, one contains only oranges, and one contains both apples and oranges.  The boxes have been incorrectly labeled such that no label identifies the actual contents of the box it labels.  Opening just one box, and without looking in the box, you take out one piece of fruit.  By looking at the fruit, how can you immediately label all of the boxes correctly.

Which box did you open and how can you be sure to label all boxes correctly?

The box that must be opened is the one labeled "apples and oranges."  By definition, whichever fruit is inside, is the only fruit type that that box contains.  Let's say that you found an apple in that box that was labeled with both apples and oranges; because you know it must therefore only contain apples, then you conclude that the box that is labeled "oranges" cannot contain only oranges, as all boxes have been said to be mislabeled.  Thus, the box labeled "oranges" must contain both apples and oranges, leaving the box labeled "apples" to contain only oranges.

Bill, Ken, and Mark are, not necessarily in this order, a quarterback, a receiver, and a kicker.  The kicker, who is the shortest of the three, is a bachelor.  Bill, who is Ken's father-in-law, is taller than the receiver.

Who plays in which position

Since Bill is Ken's father-in-law, both Bill and Ken must be married.  This leaves the only remaining person, Mark, to be the bachelor (and hence the kicker).  Since Bill is taller than the receiver, Bill must not be the receiver.  By process of elimination, we conclude that Bill is the quarterback.  The remaining position (the receiver) goes to Ken.

Therefore, Bill is the quarterback, Ken is the receiver, and Mark is the kicker

If you could safety take a ride on the back of any wild animal, which animal would you most like to ride?

What happens on April 31st that confuses mathematicians?

There isn’t a 31st of April

Name as many perfect squares as you can in a minute

Today is Friday. You are to meet your brother two days after the day before the day after tomorrow. What day are you meeting?

Bill can solve 32 math riddles per hour, and his friend Sam takes three hours to solve the same number. If they both work on them, how long will it take for them to solve 32 math riddles?

If Bill solves them three times as fast, he would be solving 24 of the 32 riddles, while Sam did 8 of them. Since 24 is 3/4 of 32, it would take 3/4 of an hour, or 45 minutes for the two of them to solve the 32 math riddles.