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 19

The sum of  consecutive even integers is . What is the largest of these  consecutive integers?

Solution

Let  be the 13th consecutive even integer that's being added up. By doing this, we can see that the sum of all 25 even numbers will simplify to  since . Now,  Remembering that this is the 13th integer, we wish to find the 25th, which is .

Problem 20

The least common multiple of  and  is , and the least common multiple of  and  is . What is the least possible value of the least common multiple of  and ?

Solution

We wish to find possible values of ,, and . By finding the greatest common factor of  and , algebraically, it's some multiple of and from looking at the numbers, we are sure that it is 3, thus  is 3. Moving on to  and , in order to minimize them, we wish to find the least such that the least common multiple of  and  is , . Similarly with  and , we obtain . The least common multiple of and  is 

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！