AMC真题(附答案)1AMC真题(附答案)1.pdf

2013 年美国数学竞赛 AMC12A 真题 Problem 1 Square has side length . Point is on , and the area of is . What is ? Problem 2 A softball team played ten games, scoring , and runs. They lost by one run in exactly five games. In each of the other games, they scored twice as many runs as their opponent. How many total runs did their opponents score? Problem 3 A flower bouquet contains pink roses, red roses, pink carnations, and red carnations. One third of the pink flowers are roses, three fourths of the red flowers are carnations, and six tenths of the flowers are pink. What percent of the flowers are carnations? Problem 4 What is the value of 1 Problem 5 Tom, Dorothy, and Sammy went on a vacation and agreed to split the costs evenly. During their trip Tom paid $ , Dorothy paid $ , and Sammy paid $ . In order to share the costs equally, Tom gave Sammy dollars, and Dorothy gave Sammy dollars. What is ? Problem 6 In a recent basketball game, Shenille attempted only three-point shots and two-point shots. She was successful on of her three-point shots and of her two-point shots. Shenille attempted shots. How many points did she score? Problem 7 The sequence has the property that every term beginning with the third is the sum of the previous two. That is, Suppose that and . What is ? Problem 8 Given that and