Dr. Bartels fell into a ditch 18 feet deep. Each day she moved 6 feet up the wall of the ditch, to slip back 3 feet at night. How many days will it take Dr. Bartels to reach the top of the ditch?
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I am a multiple of 9. I am also the result of a single-digit number raised to the third power. What am I?
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Vikki receives an allowance of $2.25 every Monday. One Monday, she was paid in nickels, dimes and quarters. She was given 14 coins in all. What coins was she given?
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Marcus spent an afternoon in the woods near a golf course collecting golf balls. On his way home, he was stopped by the golf course owner, who demanded half his golf balls plus two. After the golf course owner counted out his take, March encountered the golf pro who made the same demand. After the golf pro counted out his take, he encountered his father, who demanded half his golf balls plus two. After his father counted out his golf balls, Marcus had two golf balls left. How many golf balls did he begin to collect at the golf course before he had to give up all but 2 of them?
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Four elementary teachers have different favorite subjects. The teachers' names are Carey, Sabrina, Dian, and Marcia. The favorite subjects are science, mathematics, dance, and critical thinking. No one has a favorite subject that begins with the same letter as her first name. Sabrina is a friend of the teacher who likes to dance. Carey's favorite subject is mathematics. Who likes which subject?
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The sum of 9 numbers is 2759. If each of the 9 numbers is increased by 10, what is the sum of the new number?
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Poison is a two-person game, in which any number of obejcts (e.g., blocks) are put out (or drawn). A player may take (cross out) one or two items on his or her turn. The object of the game is not to be the player who takes (crosses out) the last item. Find a winning strategy for playing Poison with 26 objects.
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You have just finished your tennis lesson and are gathering up the balls. Suppose you were to stack up all the balls in the shape of a pyramid. I wonder how high it would be? Questions: Suppose that you have 100 tennis balls. You want to build the largest triangular pyramid that you can. How many balls are in your pyramid? How many levels high is the pyramid? How many more balls would you need to build a pyramid with one more level?
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Larry decided to count the pennies he had in his piggy bank. He decided it would be quicker to count by five. However, he ended with 2 uncounted pennies. So he tried counting by threes and finally by fours. In each case, there was one remaining penny. Though he knew he had less than $1.00 worth of pennies, he still did not have an exact count. How many pennies did Larry have in his bank?
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Maggie was trying desparately to study for her final exams. Unfortunately, the faucet in her apartment kitchen leaked making a dripping sound. Worse, her roof leaked making a binging shound as the water dripped into a pan placed under the leak. The noise was about to drive Maggie crazy when she noticed the soothing rhythm made by the drips and bings. The drips and bings had started at exactly the same time. The drips occurred 3 times a minute, the bings 5 times a minute and each drip and bing was at an equal interval. If the bings and drips kept up for 8 hours, how often would a bing and a drip happen at the same time?
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I have nickels, dimes and quarters in my pocket. If I remove three coins, what amount of money can they be? (There are lots of questions to be asked with this problem.)
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I have two coins that make 55 cents. If one of them is not a nickel, what are the two coins?
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A negotiation session between Serbians and Ethnic Albanians was held at the home of President Milosevic. The negotiators were evenly divided between Serbians and Ethnic Albanians. President Milosevic is considered one of the Serbians at the session.
At the beginning of the negotiation session, President Milosevic shook hands with all his guests. Among the guests, Serbians shook hands with each other and Ethnic Albanians shook hands with each other; but Serbians and Ethnic Albanians simply greeted one another with rather formal nods. Feelins do run high!
Thirty-six handshakes occurred as the party began.
1. How many people (including the host) attended the negotiation session?
2. If 150 people (including the host) attended the negotiation session, how many handshakes occurred?
3. Develop another question using the information from this problem.
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Three alert soldiers -- Joe, Kevin, and Luke -- stood in a row at attention as their Captain read them their orders. The Captain indicated that he needed three men to work in the pits of the rifle range changing targets - a dusty, and if you are not careful, a dangerous job. He also needed two safety officers who would sit in a tall tower behind the shooters and who would watch for unsafe practices. As the three soldiers had marched to the Captain's office, they had seen three white helmets (for pit crew members) and two red helmets(for safety officers) sitting out on a table. The Captain, being a man of few words, went to the table behind the soldiers, chose three helmets, and put them on the three soldiers from behind. Because the Captain was a timit man and did not like to confront complaining, he did not tell the men what color helmet (assignment) he had given them. He simply ordered them to march to the rifle range where they would discover their assignment well out of his earshot.
As they marched, Luke, the last soldier in line teased, "I have no idea what color helmet I'm wearing, but I know the color you two guys have."
Much to Luke's surprise, Joe, the first soldier in line, said, "Well, I know what color helmet I'm wearing."
What color helmet was Joe wearing? How did he know when Luke did not?
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Jane wrote the numbers from 1 through 45 on her paper. How many times did Jane write 4?
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