Winter 2015 Math 211 Final Exam Name_______________________________ Instructions: Show ALL work. Simplify wherever possible. Clearly indicate your final answer. Problem Number Points Possible Score 1 15 2 20 3 20 4 15 5 20 6 10 7 20 8 20 9 20 Subtotal 160 Extra credit 15 Total 160
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Final - 211 - W15webpages.sou.edu/~stonelakb/math/pdf/Final Exam - 211...2) Determine'if'the'number'111,000,111,000,111,000,111,000,111,000,111,000,111,000'is'divisible'by'...
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1) Let'A'be'the'set'of'integers'from'"5'to'5.'Define'a'relation'R'on'A'where' a, b( ) 'is'in'R'if' a2 + ab + b ≥ 0 '''a) Is'this'relation'reflexive?'Why'or'why'not?'
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b) Is'this'relation'symmetric?'Why'or'why'not?'''''''''''''''''
b) A'rectangular'field'measures'160'yards'by'172'yards.''I'want'to'divide'the'field'into'squares,'each'the'same'size?''If'the'sides'of'these'squares,'measured'in'yards,'are'to'have'whole'number'lengths,'what'is'the'largest'possible'size'for'those'squares?'How'many'squares'of'this'size'will'there'be?''
c) One'where'neither'the'measurement'nor'partative'method'is'appropriate,'so'instead'you'use'the'missing'factor'approach.'
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Extra Credit: The pyramid below is called a “prime pyramid.” Each row in the pyramid begins with a 1, and the nth row ends with the number n. In each row, the consecutive numbers from 1 to n are rearranged in such a way that the sum of any two adjacent numbers is prime. Complete the rest of the pyramid. 1