2013 AMC 8 第 1 题

先试着解答 2013 AMC 8 第 1 题,然后核对你的答案与视频与精心整理的解答,解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 2013 AMC 8 解答,或核对答案。

所有题目均经美国数学协会(MAA)官方合法授权使用。

1.

丹妮卡想把她的模型车排成若干行,每行正好 66 辆。她现在有 2323 辆模型车。为了能用这种方式排好所有车,她最少还需要买多少辆?
Danica wants to arrange her model cars in rows with exactly 66 cars in each row. She now has 2323 model cars. What is the smallest number of additional cars she must buy in order to be able to arrange all her cars this way?
11
22
33
44
55
答案:A
知识点:整除性估算
小提示:
找出大于 2323 的下一个 66 的倍数
Find the next multiple of 66 after 2323.
大提示:
只需要再买一辆车就能达到那个倍数
Only one more car is needed to reach that multiple.
视频讲解:
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文字解答:
为了让丹妮卡把模型车排成每行正好六辆,她拥有的模型车数量必须是 66 的倍数。大于 2323 的最小这样的数是 2424,所以她必须再买 11 辆车。
所以正确答案是 A。
In order for Danica to arrange her model cars in rows of exactly six, the number of model cars she has must be a multiple of six. The smallest multiple of 66 greater than 2323 is 24,24, so she must buy 11 more car to attain this amount.
Thus, A is the correct answer.
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