2025 AMC 8 第 7 题
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所有题目均经美国数学协会（MAA）官方合法授权使用。
7.
在 Xochi 教授班最近的一次考试中：
• 名学生得分至少为 ，
• 名学生得分至少为 ，
• 名学生得分至少为 ，
• 名学生得分至少为 。
有多少名学生得分至少为 且低于 ？
On the most recent exam in Prof. Xochi’s class,
• students earned a score of at least
• students earned a score of at least
• students earned a score of at least and
• students earned a score of at least
How many students earned a score of at least and less than
答案：D
小提示：
这些分数组是嵌套的
The score groups are nested
大提示：
从至少 的人数中减去至少 的人数
Subtract the students with scores at least from those at least
视频讲解：
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文字解答：
注意各档人数逐步增加，这是因为条件变得越来越宽。
要包括所有至少 的 名学生，但排除所有至少 的 名学生。因此答案是 ，选 D。
Notice that the numbers of students in each category keep increasing, which makes sense because the categories are getting broader.
We want to include all of the students who earned a score of at least but exclude all of the students who earned a score of at least So, the answer is which is choice D.
其他年份的第 7 题
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