amc12_2004ap[1]

amc12_2004ap[1] - 1 1 Alicia earns \$20 per hour of which...

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1 1. Alicia earns \$20 per hour, of which 1 . 45% is deducted to pay local taxes. How many cents per hour of Alicia’s wages are used to pay local taxes? (A) 0 . 0029 (B) 0 . 029 (C) 0 . 29 (D) 2 . 9 (E) 29 2. On the AMC 12, each correct answer is worth 6 points, each incorrect answer is worth 0 points, and each problem left unanswered is worth 2.5 points. If Charlyn leaves 8 of the 25 problems unanswered, how many of the remaining problems must she answer correctly in order to score at least 100? 3. For how many ordered pairs of positive integers ( x, y ) is x +2 y = 100? 4. Bertha has 6 daughters and no sons. Some of her daughters have 6 daughters, and the rest have none. Bertha has a total of 30 daugh- ters and granddaughters, and no great-granddaughters. How many of Bertha’s daughters and grand-daughters have no daughters? 5. The graph of a line y = mx + b has a y-intercept between 0 and 1 and a slope between 0 and -1. Which of the following is true? (A) mb < - 1 (B) - 1 < mb < 0 (C) mb = 0 (D) 0 < mb < 1 (E) mb > 1 6. Let U = 2 · 2004 2005 , V = 2004 2005 , W = 2003 · 2004 2004 , X = 2 · 2004 2004 , Y = 2004 2004 and Z = 2004 2003 . Which of the following is largest?

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