9/12/10 IMP POW Linear Nim In this POW‚ we had to play a game called Linear Nim. In this game‚ we drew 10 lines on a paper‚ and we had to take turns crossing out 1‚ 2‚ or 3 of the marks. The person that crossed out the last mark was the winner. The first task of this POW was to find a winning strategy for this game. After we found this out‚ we were supposed to make variations to the game‚ for instance starting with more or less marks‚ or allowing a player to cross out more or less marks. We were
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“A Sticky Gum Problem” POW 4 Problem statement: The next scenario is very similar. In this one‚ Ms. Hernandez passed a different gumball machine the next day with three different colors Once again her twins each want a gumball of the same color‚ and each gumball is still one cent. What is the most amount of money that Ms. Hernandez would have to spend in order to get each of her daughters the same color gumball? In the last scenario‚ Mr. Hodges and his triplets pass the same gumball machine
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Touchdowns = 3 pts. I did the same as above. 3‚6‚9‚12‚15‚18‚21‚24‚27 I looked at the patterns and knew that if the team only scored field goals they would go up by 5 pts. each score. If the team only scored touchdowns they would go up by 3 pts. each score. I decided that I was going to keep looking for patterns in the numbers for different combanations ex. one field goal the rest touchdowns. To keep track of the patterns i was going to make a chart 1-100 of all the patterns and numbers. 1 2 3 4 5 6
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IMP POW 1: The Broken Eggs Problem Statement: A farmer’s cart hits a pothole‚ causing all her eggs to fall out and break. Luckily‚ she is unhurt. To cover the cost of the eggs‚ her insurance agent needs to know how many she had. She can’t remember the number‚ but can remember some problems she had when packing the eggs. When she put the eggs in groups of two to six eggs‚ there was always one left over. However‚ in groups of seven‚ there were none left over. From what she knows‚ how can she figure
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whose value is either greater than or less that the other 11 by an unknown amount. One can compare the sum of the values of a number of items in a set with the sum of the values of items in a disjoint set to see which one is greater. This comparison is also called "weighing." Find the least number of ways to determine which item has a greater or lesser value. Process From the previous POW it was concluded that it would take 5 weighings as described
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POW Problem Statement A. A farmer is going to sell her eggs at the market when along the way she hits a pot hole causing all of her eggs to spill and break. She meets an insurance agent to talk about the incident‚ and during the conversation he asks‚ how many eggs did you have? The farmer did not know any exact number‚ but proceeded to explain to the insurance agent that when she was packing the eggs‚ she remembered that when she put the eggs in groups of 2-6 she had even groups with 1 left over
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Vapor deposition modeling for an entrenched wafer geometry L. J. Willett‚ S. K. Loyalka‚a) and R. V. Tompson Nuclear Engineering Program and Particulate Systems Research Center‚ University of Missouri-Columbia‚ Columbia‚ Missouri 65211 ͑Received 11 February 1998; accepted 30 October 1998͒ Empirical
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POW 16: Spiralaterals Problem Statement: Spiralaterals-a spiralateral is a sequence of numbers that forms a pattern or a spiral like shape. Spiralaterals can form a complete spiral-like shape or it could form an open spiral that never recrosses itself or return to it ’s original starting point. To make a spiralateral: Each spiralateral is based on a sequence of numbers.To draw the spiralateral‚ you need to choose a starting point. The starting point is always "up" on
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to San Francisco from New York How many ships from San Francisco would you meet? I assumed that entering and exiting the harbor does not count as meeting a ship. I also assumed that there was already (only) one ship at see and that it had traveled 3 months when the main ship leaves. Process: My first thought were ‘‘ok lets draw a picture” they were shortly followed by “dang i cant draw North and South America”. Then I had an amazing thought “The Americas form a triangle‚ I can draw a triangle
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11/15/09 Class G Lauren McCarthy Pow 3: Eight Bags of Gold Problem Statement A king divides his gold among 8 trusted people. One of the trusted people is selling his gold. The king wants to find the thief but only has a pan balance. Being conservative‚ he wants to use the pan balance as few times as possible. What is the least number of trials he will have to do in order to guarantee that he has found the lightest bag? Process To solve the problem‚ I accumulated the least number of trials into
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