AMC数学竞赛8专为8年级及以下的初中学生设计，但近年来的数据显示，越来越多小学4-6年级的考生加入到AMC 8级别的考试行列中，而当这些学生能在成绩中取得“A”类标签，则是对孩子数学天赋的优势证明，不管是对美高申请还是今后在数学领域的发展都极其有利！那么接下来跟随小编来看一下AMC 8的官方真题以及官方解答吧：

Problem 15

What is the largest power of  that is a divisor of ?

Solution

First, we use difference of squares on  to get . Using difference of squares again and simplifying, we get . Realizing that we don't need the right-hand side because it doesn't contain any factor of 2, we see that the greatest power of  that is a divisor  is .

Problem 16

Annie and Bonnie are running laps around a -meter oval track. They started together, but Annie has pulled ahead, because she runs  faster than Bonnie. How many laps will Annie have run when she first passes Bonnie?

Solution

Each lap Bonnie runs, Annie runs another quarter lap, so Bonnie will run four laps before she is overtaken. This means that Annie and Bonnie are equal so that Annie needs to run another lap to overtake Bonnie. That means Annie will have run  laps.

以上就是小编对AMC竞赛官方真题以及解析的介绍，希望对你有所帮助，更多AMC真题下载请持续关注AMC数学竞赛网！