MATH 230 Midterm: MATH 230 2008 Winter Test 1

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9 Jan 2019
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Answer all 6 questions on the sheets provided - use the backs of the sheets if necessary. Rules governing examinations: each candidate must be prepared to produce, upon request, a. Arithmetic: (4pts) express as a product of primes: (a) (27 17)2 (b) (121)3, (4pts) compute the greatest common divisor and the least common multiple for the pair of integers (108, 180). You may leave your answer as a product of primes. Page 3 of 8 pages: (2pts)determine the integer nearest to the given fraction. Page 4 of 8 pages: (10pts) simplify (a) (cid:16) 2(cid:17)5 (b) 15 65 (c) 6 48 7 27 (d) q3 5q5 3q 6. Page 5 of 8 pages: (5pts) evaluate. A brief response without explanation is su cient here. Explain (b) is it possible to draw a connected graph in the plane with 8 vertices, 10 edges and 5 faces.