The Steps Puzzle
"There are 10 steps in front of you that you are about to climb. At any point, you can either take one step up, or you can jump two steps up. In how many unique ways can you climb the 10 steps?"
Found here with answer: http://wordplay.blogs.nytimes.com/2013/06/10/steps-2/?src=rechp&_r=0
Math Fun Days are a weekly event we're holding to get math teachers talking, problem solving and having fun together. Participants gather in Google hangouts and work together to solve compelling problems or play math games that they can then bring to students in their classrooms. If you want to participate or have a great problem for us to solve, tweet @ one of the moderators in the sidebar.
Friday, June 28, 2013
Camel and Bananas (MFD 2 P3)
"Question: The owner of a banana plantation has a camel. He wants to transport his 3000 bananas to the market, which is located after the desert. The distance between his banana plantation and the market is about 1000 kilometer. So he decided to take his camel to carry the bananas. The camel can carry at the maximum of 1000 bananas at a time, and it eats one banana for every kilometer it travels.
What is the largest number of bananas that can be delivered to the market?"
Found here: http://www.mytechinterviews.com/challenge-camel-and-bananas
The solution is in the link above.
The solution is in the link above.
Three Way Duel (MFD 2 P 2)
Andy, Bob and Charley are in a shootout. Andy has a 30% chance of hitting his target, Bob has a 100% chance of hitting his target and Charley has a 50% chance of hitting his target. They each shoot once in order Andy, Bob, Charley, Andy, Bob, etc until only one of them is left standing. What is Andy's best course of action?
Chocolate Bar Break (Math Fun Day 2 Problem 1)
You have a chocolate bar that is 3 x 5. What is the least number of breaks you can use to break it into 1x1 blocks? You can only break horizontally or vertically, can't stack the chocolate.
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