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考题1-2 2017 AMC 8

2018-08-06 重点归纳

AMC 8数学竞赛专为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 1

Which of the following values is largest?

$\textbf{(A) }2+0+1+7\qquad\textbf{(B) }2 \times 0 +1+7\qquad\textbf{(C) }2+0 \times 1 + 7\qquad\textbf{(D) }2+0+1 \times 7\qquad\textbf{(E) }2 \times 0 \times 1 \times 7$

Solution 1

We compute each expression individually according to the order of operations. We get 2+0+1+7=10,2*0+1+7=8,2+0*1+7=9,2+0+1*7=9,2*0*1*7=0,. Since 10 is the greatest out of these numbers, (A)2+0+1+7 is the answer.

Problem 2

Alicia, Brenda, and Colby were the candidates in a recent election for student president. The pie chart below shows how the votes were distributed among the three candidates. If Brenda received 36 votes, then how many votes were cast all together?

2018 AMC 8考题1-2

$\textbf{(A) }70\qquad\textbf{(B) }84\qquad\textbf{(C) }100\qquad\textbf{(D) }106\qquad\textbf{(E) }120$

Solution 1

Let x be the total amount of votes casted. From the chart, Brenda received 30% of the votes and had 36 votes. We can express this relationship as 30/100x=36. Solving for x, we get x=(E)120.

Solution 2

We're being asked for the total number of votes cast -- that represents 100% of the total number of votes (obviously). Brenda received 36 votes, which is 30/100=3/10 of the total number of votes. Multiplying 36 by 10/3 we get the total number of votes, which is (E)120

以上就是小编对AMC 8数学竞赛官方真题以及解析的介绍，希望对你有所帮助，更多学习资料请持续关注AMC数学竞赛网！