amcdrill | AMC8 AMC10 AMC12 Practice

Q1

A circle and two distinct lines are drawn on a sheet of paper. What is the largest possible number of points of intersection of these figures?

一张纸上画了一个圆和两条不同的直线。这些图形相交点的最大可能数量是多少？

(A) 2 2 (B) 3 3 (C) 4 4 (D) 5 5 (E) 6 6

Q2

How many different combinations of \$5 bills and \$2 bills can be used to make a total of \$17? Order does not matter in this problem.

用5美元钞票和2美元钞票凑成总计17美元，有多少种不同的组合？本题中顺序无关。

(A) 2 2 (B) 3 3 (C) 4 4 (D) 5 5 (E) 6 6

Q3

What is the smallest possible average of four distinct positive even integers?

四个不同的正偶整数的最小可能平均数是多少？

(A) 3 3 (B) 4 4 (C) 5 5 (D) 6 6 (E) 7 7

Q4

The year 2002 is a palindrome (a number that reads the same from left to right as it does from right to left). What is the product of the digits of the next year after 2002 that is a palindrome?

年份2002是一个回文数（从左到右和从右到左读相同）。2002年之后下一个回文年的各位数字乘积是多少？

(A) 0 0 (B) 4 4 (C) 9 9 (D) 16 16 (E) 25 25

Q5

Carlos Montado was born on Saturday, November 9, 2002. On what day of the week will Carlos be 706 days old?

卡洛斯·蒙塔多于2002年11月9日星期六出生。706天后，卡洛斯是星期几？

(A) Monday 星期一 (B) Wednesday 星期三 (C) Friday 星期五 (D) Saturday 星期六 (E) Sunday 星期日

Q6

A birdbath is designed to overflow so that it will be self-cleaning. Water flows in at the rate of 20 milliliters per minute and drains at the rate of 18 milliliters per minute. One of these graphs shows the volume of water in the birdbath during the filling time and continuing into the overflow time. Which one is it?

一个鸟浴设计成会溢水以实现自清洁。水以每分钟20毫升的速率流入，以每分钟18毫升的速率排出。其中一个图表显示了鸟浴在填充时间及溢水时间的水量变化。哪一个是正确的？

(A)

(B)

(C)

(D)

(E)

Q7

The students in Mrs. Sawyer's class were asked to do a taste test of five kinds of candy. Each student chose one kind of candy. A bar graph of their preferences is shown. What percent of her class chose candy E?

Sawyer夫人的班级学生进行五种糖果的味觉测试。每位学生选择一种糖果。他们的偏好柱状图如图所示。她班上有多少百分比的学生选择了糖果E？

(A) 5 5 (B) 12 12 (C) 15 15 (D) 16 16 (E) 20 20

Q8

How many of his European stamps were issued in the '80s?

他的欧洲邮票中有多少是80年代发行的？

(A) 9 9 (B) 15 15 (C) 18 18 (D) 24 24 (E) 42 42

Q9

His South American stamps issued before the '70s cost him

他在70年代之前发行的南美邮票花费了他

(A) $0.40 $0.40 (B) $1.06 $1.06 (C) $1.80 $1.80 (D) $2.38 $2.38 (E) $2.64 $2.64

Q10

The average price of his '70s stamps is closest to

他的70年代邮票的平均价格最接近

(A) 3.5¢ 3.5美分 (B) 4¢ 4美分 (C) 4.5¢ 4.5美分 (D) 5¢ 5美分 (E) 5.5¢ 5.5美分

Q11

A sequence of squares is made of identical square tiles. The edge of each square is one tile length longer than the edge of the previous square. The first three squares are shown. How many more tiles does the seventh square require than the sixth?

一个由相同正方形瓦片构成的正方形序列。每个正方形的边长比前一个正方形的边长多一个瓦片长度。展示了前三个正方形。第七个正方形比第六个正方形多需要多少瓦片？

(A) 11 11 (B) 12 12 (C) 13 13 (D) 14 14 (E) 15 15

Q12

A board game spinner is divided into three regions labeled A, B and C. The probability of the arrow stopping on region A is $\frac{1}{3}$ and on region B is $\frac{1}{2}$. The probability of the arrow stopping on region C is

一个棋盘游戏转盘分为三个区域，标有A、B和C。箭头停在区域A的概率为$\frac{1}{3}$，停在区域B的概率为$\frac{1}{2}$。箭头停在区域C的概率是

(A) $\frac{1}{12}$ $\frac{1}{12}$ (B) $\frac{1}{6}$ $\frac{1}{6}$ (C) $\frac{1}{5}$ $\frac{1}{5}$ (D) $\frac{1}{3}$ $\frac{1}{3}$ (E) $\frac{2}{5}$ $\frac{2}{5}$

Q13

For his birthday, Bert gets a box that holds 125 jellybeans when filled to capacity. A few weeks later, Carrie gets a larger box full of jellybeans. Her box is twice as high, twice as wide and twice as long as Bert's. Approximately, how many jellybeans did Carrie get?

伯特生日时得到一个满载时可容纳125颗果冻豆的盒子。几周后，嘉莉得到一个更大的满载果冻豆的盒子。她的盒子高度、宽度和长度都是伯特的盒子的两倍。大约，嘉莉得到了多少颗果冻豆？

(A) 250 250 (B) 500 500 (C) 625 625 (D) 750 750 (E) 1000 1000

Q14

A merchant offers a large group of items at 30% off. Later, the merchant takes 20% off these sale prices and claims that the final price of these items is 50% off the original price. The total discount is

一个商人对一大群商品打7折。后来，商人再对这些折后价格打8折，并声称这些商品的最终价格是原价的50% off。总折扣是

(A) 35% 35% (B) 44% 44% (C) 50% 50% (D) 56% 56% (E) 60% 60%

Q15

Which of the following polygons has the largest area?

下列哪个多边形面积最大？

(A) A A (B) B B (C) C C (D) D D (E) E E

Q16

Right isosceles triangles are constructed on the sides of a 3-4-5 right triangle, as shown. A capital letter represents the area of each triangle. Which one of the following is true?

在3-4-5直角三角形的各边上构造直角等腰三角形，如图所示。大写字母表示每个三角形的面积。以下哪一个是正确的？

(A) $X + Z = W + Y$ $X + Z = W + Y$ (B) $W + X = Z$ $W + X = Z$ (C) $3X + 4Y = 5Z$ $3X + 4Y = 5Z$ (D) $X + W = \frac{1}{2}(Y + Z)$ $X + W = \frac{1}{2}(Y + Z)$ (E) $X + Y = Z$ $X + Y = Z$

Q17

In a mathematics contest with ten problems, a student gains 5 points for a correct answer and loses 2 points for an incorrect answer. If Olivia answered every problem and her score was 29, how many correct answers did she have?

在一场有十道题的数学竞赛中，学生答对一题得5分，答错一题扣2分。如果Olivia回答了所有题目，她的得分为29，她答对了几题？

(A) 5 5 (B) 6 6 (C) 7 7 (D) 8 8 (E) 9 9

Q18

Gage skated 1 hr 15 min each day for 5 days and 1 hr 30 min each day for 3 days. How long would he have to skate the ninth day in order to average 85 minutes of skating each day for the entire time?

Gage连续5天每天滑冰1小时15分钟，又连续3天每天滑冰1小时30分钟。为了整个9天平均每天滑冰85分钟，第九天他需要滑冰多长时间？

(A) 1 hr 1小时 (B) 1 hr 10 min 1小时10分 (C) 1 hr 20 min 1小时20分 (D) 1 hr 40 min 1小时40分 (E) 2 hr 2小时

Q19

How many whole numbers between 99 and 999 contain exactly one 0?

99和999之间有多少个整数恰好包含一个0？

(A) 72 72 (B) 90 90 (C) 144 144 (D) 162 162 (E) 180 180

Q20

The area of triangle $XYZ$ is 8 square inches. Points $A$ and $B$ are midpoints of congruent segments $\overline{XY}$ and $\overline{XZ}$. Altitude $\overline{XC}$ bisects $\overline{YZ}$. The area (in square inches) of the shaded region is

三角形$XYZ$的面积是8平方英寸。点$A$和$B$分别是全等线段$\overline{XY}$和$\overline{XZ}$的中点。高$\overline{XC}$平分$\overline{YZ}$。阴影区域的面积（平方英寸）是

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

Q21

Harold tosses a nickel four times. The probability that he gets at least as many heads as tails is

Harold 抛掷一枚五分镍币四次。他得到至少与反面一样多的正面的概率是

(A) $\frac{5}{16}$ $\frac{5}{16}$ (B) $\frac{3}{8}$ $\frac{3}{8}$ (C) $\frac{1}{2}$ $\frac{1}{2}$ (D) $\frac{5}{8}$ $\frac{5}{8}$ (E) $\frac{11}{16}$ $\frac{11}{16}$

Q22

Six cubes, each an inch on an edge, are fastened together, as shown. Find the total surface area in square inches. Include the top, bottom and sides.

六个每个边长一英寸的立方体被粘在一起，如图所示。求总表面积（平方英寸）。包括顶部、底部和侧面。

(A) 18 18 (B) 24 24 (C) 26 26 (D) 30 30 (E) 36 36

Q23

A corner of a tiled floor is shown. If the entire floor is tiled in this way and each of the four corners looks like this one, then what fraction of the tiled floor is made of darker tiles?

展示了一个铺砖地板的一个角落。如果整个地板都以这种方式铺砖，并且四个角落看起来都像这个，那么铺砖地板中有多少分数是深色瓷砖？

(A) $\frac{1}{3}$ $\frac{1}{3}$ (B) $\frac{4}{9}$ $\frac{4}{9}$ (C) $\frac{1}{2}$ $\frac{1}{2}$ (D) $\frac{5}{9}$ $\frac{5}{9}$ (E) $\frac{8}{9}$ $\frac{8}{9}$

Q24

Miki has a dozen oranges of the same size and a dozen pears of the same size. Miki uses her juicer to extract 8 ounces of pear juice from 3 pears and 8 ounces of orange juice from 2 oranges. She makes a pear-orange juice blend from an equal number of pears and oranges. What percent of the blend is pear juice?

Miki 有一打大小相同的橙子和一打大小相同的梨。Miki 用榨汁机从3个梨中榨出8盎司梨汁，从2个橙子中榨出8盎司橙汁。她用等数量的梨和橙子制作梨橙汁混合饮料。这个混合饮料中有百分之多少是梨汁？

(A) 30 30 (B) 40 40 (C) 50 50 (D) 60 60 (E) 70 70

Q25

Loki, Moe, Nick and Ott are good friends. Ott had no money, but the others did. Moe gave Ott one-fifth of his money, Loki gave Ott one-fourth of his money and Nick gave Ott one-third of his money. Each gave Ott the same amount of money. What fractional part of the group's money does Ott now have?

Loki、Moe、Nick 和 Ott 是好朋友。Ott 没有钱，但其他人有。Moe 给了 Ott 他钱的一第五，Loki 给了 Ott 他钱的一第四，Nick 给了 Ott 他钱的三分之一。每人都给了 Ott 等量的钱。Ott 现在拥有团体总钱款的几分之几？

(A) $\frac{1}{10}$ $\frac{1}{10}$ (B) $\frac{1}{4}$ $\frac{1}{4}$ (C) $\frac{1}{3}$ $\frac{1}{3}$ (D) $\frac{2}{5}$ $\frac{2}{5}$ (E) $\frac{1}{2}$ $\frac{1}{2}$

AMC8 2002