2006 AMC amc8 真题 答案 详解

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中英双语真题

2006 AMC8
Problem 1
Mindy made three purchases for $1.98, $5.04, and $9.89. What was her total, to the nearest dollar?
Mindy buys three items priced at $1.98, $5.04, and $9.89. How much does she need to pay in total, rounded to the nearest dollar?
(A) $10 (B) $15 (C) $16 (D) $17 (E) $18

Problem 2
On the AMC 8 contest Billy answers 13 questions correctly, answers 7 questions incorrectly and doesn't answer the last 5. What is his score?
In the AMC 8 competition, Billy answered 13 questions correctly, 7 questions incorrectly, and did not answer the last 5 questions. What is his score?
(A) 1 (B) 6 (C) 13 (D) 19 (E) 26

Problem 3
Elisa swims laps in the pool. When she first started, she completed 10 laps in 25 minutes. Now she can finish 12 laps in 24 minutes. By how many minutes has she improved her lap time?
Elisa swims laps in the swimming pool. At first, she completed 10 laps in 25 minutes. Now she can complete 12 laps in 24 minutes. By how many minutes has she reduced her lap time?
(A) (\frac{1}{2}) (B) (\frac{3}{4}) (C) 1 (D) 2 (E) 3

英文真题

Compiled on: January 1, 2021 AMC8 2006 Problems Page 67 of 109 Q1. Mindy made three purchases for: $1.98 dollars, $5.04 dollars, and $9.89 dollars. What was her total, to the nearest dollar? A) 10 B) 15 C) 16 D) 17 E) 18 Q2. On the AMC 8 contest Billy answers 13 questions correctly, answers 7 questions incorrectly and doesn't answer the last 5. What is his score? A) 1 B) 6 C) 13 D) 19 E) 26 Q3. Elisa swims laps in the pool. When she first started, she completed 10 laps in 25 minutes. Now, she can finish 12 laps in 24 minutes. By how many minutes has she improved her lap time? A) (\frac{1}{2}) B) (\frac{3}{4}) C) 1 D) 2 E) 3 Q4. Initially, a spinner points west. Chenille moves it clockwise (2\frac{1}{4}) revolutions and then counterclockwise (3\frac{3}{4}) revolutions. In what direction does the spinner point after the two moves? A) north B) east C) south D) west E) northwest Q5. Points A, B, C and D are midpoints of the sides of the larger square. If the larger square has area 60, what is the area of the smaller square? A) 15 B) 20 C) 24 D) 30 E) 40 Q6. The letter T is formed by placing two (2\times 4) inch rectangles next to each other, as shown. What is the perimeter of the T, in inches?

真题文字详解(英文)

Problem 1
Mindy made three purchases for $1.98 dollars, $5.04 dollars, and $9.89 dollars. What was her total, to the nearest dollar?
(A) 10 (B) 15 (C) 16 (D) 17 (E) 18

Solution
The three prices round to $2, $5, and $10, which have a sum of (D) 17.
We know that there will not be a rounding error, as the total amount rounded is clearly less than $0.50.

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Problem 2
On the AMC 8 contest Billy answers 13 questions correctly, answers 7 questions incorrectly and doesn't answer the last 5. What is his score?
(A) 1 (B) 6 (C) 13 (D) 19 (E) 26

Solution
As the AMC 8 only rewards 1 point for each correct answer, everything is irrelevant except the number Billy answered correctly, (C) 13.

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Problem 3
Elisa swims laps in the pool. When she first started, she completed 10 laps in 25 minutes. Now, she can finish 12 laps in 24 minutes. By how many minutes has she improved her lap time?
(A) ( \frac{1}{2} ) (B) ( \frac{3}{4} ) (C) 1 (D) 2 (E) 3

Solution
When Elisa started, she finished a lap in ( \frac{25}{10} = 2.5 ) minutes. Now, she finishes a lap in ( \frac{24}{12} = 2 ) minutes. The difference is ( 2.5 - 2 = \textbf{(A)} \frac{1}{2} ).

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Problem 4
Initially, a spinner points west. Chenille moves it clockwise ( 2\frac{1}{4} ) revolutions and then counterclockwise ( 3\frac{3}{4} ) revolutions. In what direction does the spinner point after the two moves?
(A) north (B) east (C) south (D) west (E) northwest

真题文字详解(中英双语)

Problem 1
Mindy made three purchases for $1.98 dollars, $5.04 dollars, and $9.89 dollars. What was her total, to the nearest dollar?
Mindy 进行了三次购买，分别花费了 $1.98 美元、$5.04 美元和 $9.89 美元。她的总花费是多少（四舍五入到最近的整数）？
(A) 10 (B) 15 (C) 16 (D) 17 (E) 18

Solution
The three prices round to $2, $5, and $10, which have a sum of (D) 17.
这三个价格分别四舍五入为 $2、$5 和 $10，它们的总和是 (D) 17。
We know that there will not be a rounding error, as the total amount rounded is clearly less than $0.50.
我们知道不会有四舍五入误差，因为四舍五入后的总金额明显小于 $0.50。

Problem 2
On the AMC 8 contest Billy answers 13 questions correctly, answers 7 questions incorrectly and doesn't answer the last 5. What is his score?
在 AMC 8 竞赛中，Billy 答对了 13 道题，答错了 7 道题，还有 5 道题未作答。他的得分是多少？
(A) 1 (B) 6 (C) 13 (D) 19 (E) 26

Solution
As the AMC 8 only rewards 1 point for each correct answer, everything is irrelevant except the number Billy answered correctly, (C) 13.
AMC 8 考试每答对一题只奖励 1 分，因此除了 Billy 答对的题数 (C) 13 以外，其他都是无关紧要的。

Problem 3
Elisa swims laps in the pool. When she first started, she completed 10 laps in 25 minutes. Now, she can finish 12 laps in 24 minutes. By how many minutes has she improved her lap time?
艾丽莎在游泳池里游泳。当她刚开始的时候，她在 25 分钟内完成了 10 圈。现在，她可以在 24 分钟内完成 12 圈。她的圈速提高了多少分钟？
(A) ( \frac{1}{2} ) (B) ( \frac{3}{4} ) (C) 1 (D) 2 (E) 3

Solution
When Elisa started, she finished a lap in ( \frac{25}{10} = 2.5 ) minutes. Now, she finishes a lap in ( \frac{24}{12} = 2 ) minutes. The difference is ( 2.5 - 2 = (A) \frac{1}{2} ).
艾丽莎刚开始的时候，她完成一圈需要 ( \frac{25}{10} = 2.5 ) 分钟。现在，她完成一圈需要 ( \frac{24}{12} = 2 ) 分钟。时间差是 ( 2.5 - 2 = (A) \frac{1}{2} )。