2010 AMC 12B Problems.docxVIP

2010Problem 1 Makarla attended two meetings during her -hour work day. The first meeting took minutes and the second meeting took twice as long. What percent of her work day was spent attending meetings? Problem 2 A big is formed as shown. What is its area? Problem 3 A ticket to a school play cost dollars, where is a whole number. A group of 9th graders buys tickets costing a total of $, and a group of 10th graders buys tickets costing a total of $. How many values for are possible? Problem 4 A month with days has the same number of Mondays and Wednesdays.How many of the seven days of the week could be the first day of this month? Problem 5 Lucky Larrys teacher asked him to substitute numbers for , , , , and in the expression and evaluate the result. Larry ignored the parenthese but added and subtracted correctly and obtained the correct result by coincidence. The number Larry sustituedfor , , , and were , , , and , respectively. What number did Larry substitudefor ? Problem 6 At the beginning of the school year, of all students in Mr. Wells math class answered Yes to the question Do you love math, and answered No. At the end of the school year, answered Yes and answerws No. Altogether, of the students gave a different answer at the beginning and end of the school year. What is the difference between the maximum and the minimum possible values of ? Problem 7 Shelby drives her scooter at a speed of miles per hour if it is not raining, and miles per hour if it is raining. Today she drove in the sun in the morning and in the rain in the evening, for a total of miles in minutes. How many minutes did she drive in the rain? Problem 8 Every high school in the city of Euclid sent a team of students to a math contest. Each participant in the contest received a different score. Andreas score was the median among all students, and hers was the highest score on her team. Andreas teammates Beth and Carla placed th and th, respectively. How many schools are in the city? Problem 9