1) The man who invented it doesn't want it. The man who bought it doesn't need it. The man who needs it doesn't know it. What is it?
2) Give me food, and I will live; give me water, and I will die. What am I?
3) I have holes in my top and bottom, my left and right, and in the middle. But I still hold water. What am I?
4) What goes around the world but stays in a corner?
5) I can run but not walk. Wherever I go, thought follows close behind. What am I?
6) A solo dice game is played thusly: one each turn, a normal pair of dice is rolled. The score is calculated by taking the product, rather than the sum, of the two numbers shown on the dice.
On a particular game, the score for the second roll is five more than the score for the first; the score for the third roll is six less than that of the second; the score for the fourth roll is eleven more than that of the third; and the score for the fifth roll is eight less than that of the fourth. What was the score for each of these five throws?
7) A high school has a strange principal. On the first day, he has his students perform an odd opening day ceremony:
There are one thousand lockers and one thousand students in the school. The principal asks the first student to go to every locker and open it. Then he has the second student go to every second locker and close it. The third goes to every third locker and, if it is closed, he opens it, and if it is open, he closes it. The fourth student does this to every fourth locker, and so on. After the process is completed with the thousandth student, how many lockers are open?