Topic: More Optimization Problems
Assigned work:
pg. 310 - 22
pg. 320 - 8, 10, 12, 13, 15, 18
pg. 401 - 4, 7, 12
DCVI Links
Course Pages
September 2011
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Links
- Blueprint Education Planner
- Career Cruising
- Crime Stoppers of Perth County
- EBSCO
- Google Scholar
- Grolier Encyclopedia
- GSC 2nd-ary
- INFOTRAC
- JobFutures
- Link to Learning 9-12
- Ontario College Information
- Ontario University Information
- Purdue Online Writing Lab (OWL)
- Student Research Guide
- Success for Life (AMDSB)
- Teen Health and Wellness
- Town of St. Marys Public Library
- YouthConnect.ca
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SOLVE:
How many primes among the positive integers, written as usual in the base 10, are such that their digits are alternating 1's and 0's, beginning and ending with 1?
89B1 A dart, thrown at random, hits a square target. Assuming that any two parts of the target of equal area are equally likely to be hit, find the probability that the point hit is nearer to the center than to any edge.
88B1 A composite is a product ab with a and b positive integers greater than 1. Show that every composite is expressible as
xy + xz + yz + 1,
with x, y, and z positive integers.
82B1 Let M be the midpoint of side BC of a general triangle ABC. Using the smallest possible n, describe a method for cutting triangle AMB into n triangles which can be reassembled to form a triangle congruent to triangle AMC.
89B4 Can a countably infinite set have an uncountable collection of non-empty subsets such that the intersection of any two of them is finite?
_____________________________
Who has been digging up old Putnam contest questions? If you want solutions, I refer you to this site: http://www.math.niu.edu/~rusin/problems-math/
Posted by: muah hahahaha | August 17, 2010 at 10:23 PM
but i wanted to see if you could do them. I could care less about seeing the answers. also im surprised you actually saw this in the summer. it amuses me.
Posted by: muah hahahaha | August 20, 2010 at 12:31 AM
I don't even understand what these are asking!
Posted by: Ian D | August 20, 2010 at 12:32 AM