amcdrill | AMC8 AMC10 AMC12 Practice

Q1

Casey's shop class is making a golf trophy. He has to paint 300 dimples on a golf ball. If it takes him 2 seconds to paint one dimple, how many minutes will he need to do his job?

凯西的商店课正在制作一个高尔夫奖杯。他必须在高尔夫球上画300个坑坑。如果他画一个坑坑需要2秒，他需要多少分钟来完成他的工作？

(A) 4 4 (B) 6 6 (C) 8 8 (D) 10 10 (E) 12 12

Q2

I'm thinking of two whole numbers. Their product is 24 and their sum is 11. What is the larger number?

我在想两个整数。它们的乘积是24，它们的和是11。较大的数是多少？

(A) 3 3 (B) 4 4 (C) 6 6 (D) 8 8 (E) 12 12

Q3

Granny Smith has $63. Elberta has $2 more than Anjou and Anjou has one-third as much as Granny Smith. How many dollars does Elberta have?

Granny Smith 有 $63。Elberta 比 Anjou 多 $2，Anjou 有 Granny Smith 三分之一那么多。Elberta 有多少美元？

(A) 17 17 (B) 18 18 (C) 19 19 (D) 21 21 (E) 23 23

Q4

The digits 1, 2, 3, 4 and 9 are each used once to form the smallest possible even five-digit number. The digit in the tens place is

数字1、2、3、4和9各用一次，形成可能的最小的偶五位数。十分位上的数字是

(A) 1 1 (B) 2 2 (C) 3 3 (D) 4 4 (E) 9 9

Q5

On a dark and stormy night Snoopy suddenly saw a flash of lightning. Ten seconds later he heard the sound of thunder. The speed of sound is 1088 feet per second and one mile is 5280 feet. Estimate, to the nearest half-mile, how far Snoopy was from the flash of lightning.

在一个漆黑暴风雨的夜晚，史努比突然看到一道闪电。10秒后他听到了雷声。声速是1088英尺每秒，1英里是5280英尺。估计到最近的半英里，史努比距离闪电有多远。

(A) 1 1 (B) 1 1/2 $1\frac{1}{2}$ (C) 2 2 (D) 2 1/2 $2\frac{1}{2}$ (E) 3 3

Q6

Six trees are equally spaced along one side of a straight road. The distance from the first tree to the fourth is 60 feet. What is the distance in feet between the first and last trees?

六棵树等间距地沿着一条直路的单侧排列。从第一棵树到第四棵树的距离是60英尺。第一棵树和最后一棵树之间的距离是多少英尺？

(A) 90 90 (B) 100 100 (C) 105 105 (D) 120 120 (E) 140 140

Q7

What is the number of square inches in the area of the small kite?

小风筝的面积有多少平方英寸？

(A) 21 21 (B) 22 22 (C) 23 23 (D) 24 24 (E) 25 25

Q8

Genevieve puts bracing on her large kite in the form of a cross connecting opposite corners of the kite. How many inches of bracing material does she need?

Genevieve在大风筝上加了支撑，形成一个连接风筝对角线的十字。她需要多少英寸的支撑材料？

(A) 30 30 (B) 32 32 (C) 35 35 (D) 38 38 (E) 39 39

Q9

The large kite is covered with gold foil. The foil is cut from a rectangular piece that just covers the entire grid. How many square inches of waste material are cut off from the four corners?

大风筝覆盖着金箔。箔是从刚好覆盖整个网格的矩形片裁剪的。从四个角切掉的废料有多少平方英寸？

(A) 63 63 (B) 72 72 (C) 180 180 (D) 189 189 (E) 264 264

Q10

A collector offers to buy state quarters for 2000% of their face value. At that rate how much will Bryden get for his four state quarters?

一位收藏家提出以面值的2000%购买州立25美分硬币。以这个价格，Bryden的四个州立25美分硬币能得到多少钱？

(A) $20 $20 (B) $50 $50 (C) $200 $200 (D) $500 $500 (E) $2000 $2000

Q11

Points A, B, C, and D have these coordinates: A(3,2), B(3,-2), C(-3,-2) and D(-3,0). The area of quadrilateral ABCD is

点 A、B、C 和 D 的坐标分别是：A(3,2)、B(3,-2)、C(-3,-2) 和 D(-3,0)。四边形 ABCD 的面积是

(A) 12 12 (B) 15 15 (C) 18 18 (D) 21 21 (E) 24 24

Q12

If $a \otimes b = \frac{a+b}{a-b}$, then $(6 \otimes 4) \otimes 3 =$

如果 $a \otimes b = \frac{a+b}{a-b}$，则 $(6 \otimes 4) \otimes 3 =$

(A) 4 4 (B) 13 13 (C) 15 15 (D) 30 30 (E) 72 72

Q13

Of the 36 students in Richelle's class, 12 prefer chocolate pie, 8 prefer apple, and 6 prefer blueberry. Half of the remaining students prefer cherry pie and half prefer lemon. For Richelle's pie graph showing this data, how many degrees should she use for cherry pie?

Richelle 班上有 36 名学生，其中 12 名喜欢巧克力派，8 名喜欢苹果派，6 名喜欢蓝莓派。剩下的学生有一半喜欢樱桃派，一半喜欢柠檬派。在 Richelle 的派图中，樱桃派应该使用多少度？

(A) 10 10 (B) 20 20 (C) 30 30 (D) 50 50 (E) 72 72

Q14

Tyler has entered a buffet line in which he chooses one kind of meat, two different vegetables and one dessert. If the order of food items is not important, how many different meals might he choose? Meat: beef, chicken, pork Vegetables: baked beans, corn, potatoes, tomatoes Dessert: brownies, chocolate cake, chocolate pudding, ice cream

Tyler 在自助餐队伍中选择一种肉类、两种不同的蔬菜和一种甜点。如果食物项目的顺序不重要，他可以选择多少种不同的餐点？肉类：牛肉、鸡肉、猪肉蔬菜：烤豆子、玉米、土豆、西红柿甜点：布朗尼、巧克力蛋糕、巧克力布丁、冰激凌

(A) 4 4 (B) 24 24 (C) 72 72 (D) 80 80 (E) 144 144

Q15

Homer began peeling a pile of 44 potatoes at the rate of 3 potatoes per minute. Four minutes later Christen joined him and peeled at the rate of 5 potatoes per minute. When they finished, how many potatoes had Christen peeled?

Homer 以每分钟 3 个土豆的速度开始剥 44 个土豆的堆。四分钟后 Christen 加入他，以每分钟 5 个土豆的速度剥。当他们完成时，Christen 剥了多少个土豆？

(A) 20 20 (B) 24 24 (C) 32 32 (D) 33 33 (E) 40 40

Q16

A square piece of paper, 4 inches on a side, is folded in half vertically. Both layers are then cut in half parallel to the fold. Three new rectangles are formed, a large one and two small ones. What is the ratio of the perimeter of one of the small rectangles to the perimeter of the large rectangle?

一张边长4英寸的正方形纸张，沿垂直方向对折。然后两层纸都沿平行于折痕的方向切成两半。形成了三个新矩形，一个大的和两个小的。其中一个小矩形的周长与大矩形的周长之比是多少？

(A) $\frac{1}{3}$ $\frac{1}{3}$ (B) $\frac{1}{2}$ $\frac{1}{2}$ (C) $\frac{3}{4}$ $\frac{3}{4}$ (D) $\frac{4}{5}$ $\frac{4}{5}$ (E) $\frac{5}{6}$ $\frac{5}{6}$

Q17

For the game show *Who Wants To Be A Millionaire?*, the dollar values of each question are shown in the following table (where K = 1000). Between which two questions is the percent increase of the value the smallest? [Table: Question 1 to 15 values: 100,200,300,500,1K,2K,4K,8K,16K,32K,64K,125K,250K,500K,1000K]

在游戏节目《谁想成为百万富翁？》中，各题的美元价值如以下表格所示（其中K=1000）。哪两题之间的价值百分比增长最小？[表格：第1至15题价值：100,200,300,500,1K,2K,4K,8K,16K,32K,64K,125K,250K,500K,1000K]

(A) From 1 to 2 从1到2 (B) From 2 to 3 从2到3 (C) From 3 to 4 从3到4 (D) From 11 to 12 从11到12 (E) From 14 to 15 从14到15

Q18

Two dice are thrown. What is the probability that the product of the two numbers is a multiple of 5?

掷两个骰子。两个数字之积是5的倍数的概率是多少？

(A) $\frac{1}{36}$ $\frac{1}{36}$ (B) $\frac{1}{18}$ $\frac{1}{18}$ (C) $\frac{1}{6}$ $\frac{1}{6}$ (D) $\frac{11}{36}$ $\frac{11}{36}$ (E) $\frac{1}{3}$ $\frac{1}{3}$

Q19

Car M traveled at a constant speed for a given time. This is shown by the dashed line. Car N traveled at twice the speed for the same distance. If Car N's speed and time are shown as solid line, which graph illustrates this?

汽车M以恒定速度行驶了一段时间。这由虚线所示。汽车N以两倍速度行驶相同的距离。如果汽车N的速度和时间由实线所示，哪张图示意了这一点？

(A)

(B)

(C)

(D)

(E)

Q20

Kaleana shows her test score to Quay, Marty and Shana, but the others keep theirs hidden. Quay thinks, "At least two of us have the same score." Marty thinks, "I didn't get the lowest score." Shana thinks, "I didn't get the highest score." List the scores from lowest to highest for Marty (M), Quay (Q) and Shana (S).

Kaleana向Quay、Marty和Shana展示她的考试分数，但其他人隐藏了他们的分数。Quay想：“我们至少有两个人的分数相同。” Marty想：“我没有得到最低分。” Shana想：“我没有得到最高分。” 将Marty (M)、Quay (Q)和Shana (S)的分数从最低到最高列出。

(A) S,Q,M S,Q,M (B) Q,M,S Q,M,S (C) Q,S,M Q,S,M (D) M,S,Q M,S,Q (E) S,M,Q S,M,Q

Q21

The mean of a set of five different positive integers is 15. The median is 18. The maximum possible value of the largest of these five integers is

一个由五个不同正整数组成的集合的平均数是15。中位数是18。这五个整数中最大的数可能的最大值是

(A) 19 19 (B) 24 24 (C) 32 32 (D) 35 35 (E) 40 40

Q22

On a twenty-question test, each correct answer is worth 5 points, each unanswered question is worth 1 point and each incorrect answer is worth 0 points. Which of the following scores is NOT possible?

在一份20题的测试中，每题正确得5分，每题未答得1分，每题错误得0分。以下哪个分数是不可能的？

(A) 90 90 (B) 91 91 (C) 92 92 (D) 95 95 (E) 97 97

Q23

Points R, S and T are vertices of an equilateral triangle, and points X, Y and Z are midpoints of its sides. How many noncongruent triangles can be drawn using any three of these six points as vertices?

点$R,S,T$是一个等边三角形的顶点，点$X,Y,Z$是其边的中点。用这六个点中的任意三个作为顶点，可以画出多少个非全等的三角形？

(A) 1 1 (B) 2 2 (C) 3 3 (D) 4 4 (E) 20 20

Q24

Each half of this figure is composed of 3 red triangles, 5 blue triangles and 8 white triangles. When the upper half is folded down over the centerline, 2 pairs of red triangles coincide, as do 3 pairs of blue triangles. There are 2 red-white pairs. How many white pairs coincide?

这个图形的每一半由3个红三角形、5个蓝三角形和8个白三角形组成。当上半部分沿中心线向下折叠时，有2对红三角形重合，3对蓝三角形重合。有2对红白对。有多少对白三角形重合？

(A) 4 4 (B) 5 5 (C) 6 6 (D) 7 7 (E) 9 9

Q25

There are 24 four-digit whole numbers that use each of the four digits 2, 4, 5 and 7 exactly once. Only one of these four-digit numbers is a multiple of another one. Which of the following is it?

有24个四位数，它们恰好各使用一次数字2、4、5、7。其中只有一个四位数是另一个的倍数。以下哪个是它？

(A) 5724 5724 (B) 7245 7245 (C) 7254 7254 (D) 7425 7425 (E) 7542 7542

AMC8 2001