2011 AMC amc8 真题 答案 详解

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中英双语真题

2011 AMC8
Problem 1
Margie bought 3 apples at a cost of 50 cents per apple. She paid with a 5-dollar bill. How much change did Margie receive?
Margie 买了 3 个苹果，每个 50 美分。她付了 5 美元，那么她应该找回多少零钱？
(A) $1.50 (B) $2.00 (C) $2.50 (D) $3.00 (E) $3.50

Problem 2
Karl's rectangular vegetable garden is 20 feet by 45 feet, and Makenna's is 25 feet by 40 feet. Which of the following statements are true?
Karl 的长方形蔬菜园的尺寸是 20 英尺 x 45 英尺，Makenna 的菜园是 25 英尺 x 40 英尺。下面哪句话是对的？
(A) Karl’s garden is larger by 100 square feet. | Karl 的菜园比 Makenna 的大 100 平方英尺。
(B) Karl’s garden is larger by 25 square feet. | Karl 的菜园比 Makenna 的大 25 平方英尺。
(C) The gardens are the same size. | 两人的菜园一样大。
(D) Makenna’s garden is larger by 25 square feet. | Makenna 的菜园比 Karl 的大 25 平方英尺。
(E) Makenna’s garden is larger by 100 square feet. | Makenna 的菜园比 Karl 的大 100 平方英尺。

英文真题

Compiled on: January 1, 2021 AMC8 2011 Problems Page 43 of 109 Q1. Margie bought 3 apples at a cost of 50 cents per apple. She paid with a 5-dollar bill. How much change did Margie receive? A) $1.50 B) $2.00 C) $2.50 D) $3.00 E) $3.50 Q2. Karl's rectangular vegetable garden is 20 feet by 45 feet, and Makenna's is 25 feet by 40 feet. Whose garden is larger in area? A) Karl's garden is larger by 100 square feet. B) Karl's garden is larger by 25 square feet. C) The gardens are the same size. D) Makenna's garden is larger by 25 square feet. E) Makenna's garden is larger by 100 square feet. Q3. Extend the square pattern of 8 black and 17 white square tiles by attaching a border of black tiles around the square. What is the ratio of black tiles to white tiles in the extended pattern? A) 8:17 B) 25:49 C) 36:25 D) 32:17 E) 36:17 Q4. Here is a list of the numbers of fish that Tyler caught in nine outings last summer: 2,0,1,3,0,3,3,1,2 Which statement about the mean, median, and mode is true? A) median < mean < mode B) mean < mode < median C) mean < median < mode D) median < mode < mean E) mode < median < mean Q5. What time was it 2011 minutes after midnight on January 1, 2011?

真题文字详解(英文)

Problem 1
Margie bought 3 apples at a cost of 50 cents per apple. She paid with a 5-dollar bill. How much change did Margie receive?
(A) $1.50 (B) $2.00 (C) $2.50 (D) $3.00 (E) $3.50

Solution
50 cents is equivalent to $0.50. Then the three apples cost 3 × $0.50 = $1.50. The change Margie receives is $5.00 - $1.50 = (E) $3.50
-Mathloverdoxx5223

Problem 2
Karl's rectangular vegetable garden is 20 feet by 45 feet, and Makenna's is 25 feet by 40 feet. Whose garden is larger in area?
(A) Karl’s garden is larger by 100 square feet.
(B) Karl’s garden is larger by 25 square feet.
(C) The gardens are the same size.
(D) Makenna’s garden is larger by 25 square feet.
(E) Makenna’s garden is larger by 100 square feet.

Solution
The area of a rectangle is given by the formula length times width. Karl's garden is 20 × 45 = 900 square feet and Makenna's garden is 25 × 40 = 1000 square feet. Since 1000 > 900, Makenna's garden is larger by 1000 - 900 = 100 square feet.
⇒ (E) Makenna’s garden is larger by 100 square feet.

Problem 3
Extend the square pattern of 8 black and 17 white square tiles by attaching a border of black tiles around the square. What is the ratio of black tiles to white tiles in the extended pattern?
(A) 8:17 (B) 25:49 (C) 36:25 (D) 32:17 (E) 36:17

Solution 1

真题文字详解(中英双语)

Problem 1
Margie bought 3 apples at a cost of 50 cents per apple. She paid with a 5-dollar bill. How much change did Margie receive?
马吉买了3个苹果，每个苹果的价格是50分钱。她用一张5美元的钞票付款。马吉收到了多少零钱？

(A) $1.50 (B) $2.00 (C) $2.50 (D) $3.00 (E) $3.50

Solution
50 cents is equivalent to $0.50. Then the three apples cost 3 × $0.50 = $1.50. The change Margie receives is $5.00 - $1.50 = (E) $3.50
50分钱相当于$0.50，那么三个苹果的价格是3×$0.50=$1.50，马吉收到的零钱是$5.00-$1.50=（E）$3.50

-Mathloveraldoxx5223 -数学爱好者阿多洛xxx5223

Problem 2
Karl's rectangular vegetable garden is 20 feet by 45 feet, and Makenna's is 25 feet by 40 feet. Whose garden is larger in area?
卡尔的矩形蔬菜园是20英尺乘以45英尺，而梅肯娜的蔬菜园是25英尺乘以40英尺。谁的花园面积更大？

(A) Karl’s garden is larger by 100 square feet.
(B) Karl’s garden is larger by 25 square feet.
(C) The gardens are the same size.
(D) Makenna’s garden is larger by 25 square feet.
(E) Makenna’s garden is larger by 100 square feet.

Solution
The area of a rectangle is given by the formula length times width. Karl's garden is 20 × 45 = 900 square feet and Makenna's garden is 25 × 40 = 1000 square feet. Since 1000 > 900, Makenna's garden is larger by 1000 - 900 = 100 square feet.
矩形的面积由长乘以宽给出。卡尔尔的花园是20×45=900平方英尺，而马肯娜的花园是25×40=1000平方英尺。由于1000>900，马肯娜的花园比卡尔尔的花园大1000-900=100平方英尺。

→(E) Makenna’s garden is larger by 100 square feet.
→(E) 马肯娜的花园比卡尔尔的花园大100平方英尺。

Problem 3