POW 9: Around the Horn Problem Statement During the time of crossing the overland trail‚ many people instead chose to take the ship route which went around Cape Horn at the tip of South America. The points that we are given to keep in mind are: -A ship leaves New York for San Francisco on the first of every month at noon‚ and vice versa for a ship coming from San Francisco. -Each ship arrives exactly six months after it leaves. With these things‚ we are also going to assume that:
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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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Problem Statement: A football league scores points for field goals as five points and touchdowns as three points. They want to know what the highest amount of points that is impossible to score. Process: I thought that maybe there was patterns in certain combinations. Field goals = 5 pts. Then I listed the multiples of 5 to 25. 5‚10‚15‚20‚25 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
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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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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 by the equation for an unknown item value: However‚ this is an overestimate as there is a way to determine the lighter of nine items with only two weighings. This was overlooked in the last POW (Eight Bags of Gold). Nine items can be weighed by dividing into three sets of size three. Comparing two sets together would
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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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Problem Statement: Some families didn’t want to travel overland to California so they took ships around Cape Horn at the tip of South America. Say a ship leaves San Francisco for New York the first of every month at noon. At the same time a ship leaves New York for san Francisco. Every ship arrives exactly 6 months after it leaves. If you were going 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
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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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Problem Statement My task was to find 3 equations‚ that would give me an answer‚ if I had certain information. The first was to find one that if you knew that there were four pegs on the boundary‚ and none on the interior‚ you could get the area. The second was if you knew that there were 4 pegs on the boundary‚ and you knew how many were on the interior‚ you could get the area. And last‚ if you had the number on the interior‚ and the number on the boundary‚ you could get the area. Process
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