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Problem Solving and Creativity John Paxton paxton@cs.montana.edu Computer Science Department Montana State University March 18, 2007

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Supply the Missing Words! 60 = M in an H Minutes, Hour

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Supply the missing words! 26 = L of the A 7 = W of the A W 1001 = A N 12 = S of the Z 54 = C in a D (with the J) 9 = P in the S S 88 = P K

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Supply the missing words! 13 = S on the A F 32 = D F at which W F 8 = S on a S S 200 = D for P G in M 3 = B M (S H T R) 90 = D in a R A

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Supply the missing words! 4 = Q in a G 24 = H in a D 1 = W on a U 5 = D in a Z C 57 = H V 11 = P on a F T 1000 = W that a P is W

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Supply the missing words! 29 = D in F in a L Y 64 = S on a C 40 = D and N of the G F 80 = D to G A the W 2 = N it T to T 18 = H on a G C

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What is the common phrase? bad

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What is the common phrase? i 4 i

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What is the common phrase? dribble

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What is the common phrase beating beating bush beating beating

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What is the common phrase? B A R

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What is the common phrase? Pot 0 0 0 0 0 0 0 0

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What is the common phrase? give get

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What is the common phrase? knee light

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What is the common phrase? uPLATm

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What is the common phrase? D H E T A

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What is the common phrase? poFISHnd

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What is the common phrase? 13579 AZ

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What is the common phrase? ch poorri

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What rule was used? 8 5 4 9 1 7 6 3 2 0

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Missionaries and Cannibals MMM CCC

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Water Jug 5 4 2

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10 8 4

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Water Jug 15 10 5

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Counterfeit Coins A counterfeit coin weighs 11 g. A genuine coin weighs 10 g. A stack of coins contains 10 coins. There are 9 stacks containing only genuine coins. There is 1 counterfeit stack containing only counterfeit coins. What is the fewest number of weighings?

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Lightbulb Problem There are three lightbulbs in one room. There are three light switches in another room. The rooms are on different floors of a building. Can you determine how the switches and bulbs are connected using one trip?

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Why is a manhole cover round? It can’t fall in. It rolls. It won’t damage cars. It uses the least materials.

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Night Crossing Person 1 takes 1 minute. Person 2 takes 2 minutes. Person 3 takes 5 minutes. Person 4 takes 10 minutes. There is one flashlight. At most two people can cross at once. How fast can the four people cross?

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Ants There are three ants at the three corners of a regular triangle. Each ant starts moving in a straight line toward another, randomly chosen corner. What is the probability that none of the ants collide?

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Billiard Balls You have eight billiard balls. One of them is defective, meaning that it weighs more than the others. How do you tell, using a balance, which ball is defective in two weighings?

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Library How would you locate a specific book in a big library? There’s no catalog and no librarian to help you.

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Money Sharing Christina and Julia have $21 between them Christina has $20 more than Julia. How much does each person have?

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How many petals are there around the roses?

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Thank you! Questions??

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