amcdrill | AMC8 AMC10 AMC12 Practice

Q1

Which pair of numbers does NOT have a product equal to 36?

以下哪一对数的乘积不等于36？

(A) {-4, -9} {-4, -9} (B) {-3, -12} {-3, -12} (C) {1/2, -72} {1/2, -72} (D) {1, 36} {1, 36} (E) {3/2, 24} {3/2, 24}

Q2

When the fraction 49/84 is expressed in simplest form, then the sum of the numerator and the denominator will be

将分数49/84化成最简形式后，分子和分母的和是

(A) 11 11 (B) 17 17 (C) 19 19 (D) 33 33 (E) 133 133

Q3

Which of the following numbers has the largest prime factor?

以下哪个数的最大质因数最大？

(A) 39 39 (B) 51 51 (C) 77 77 (D) 91 91 (E) 121 121

Q4

1000 × 1993 × 0.1993 × 10 =

(A) 1.993 × 10³ 1.993 × 10³ (B) 1993.1993 1993.1993 (C) (199.3)² (199.3)² (D) 1,993,001.993 1,993,001.993 (E) (1993)² (1993)²

Q5

Which one of the following bar graphs could represent the data from the circle graph?

以下哪个条形图可能代表圆图中的数据？

(A)

(B)

(C)

(D)

(E)

Q6

A can of soup can feed 3 adults or 5 children. If there are 5 cans of soup and 15 children are fed, then how many adults would the remaining soup feed?

一罐汤可以喂饱 3 个成人或 5 个孩子。如果有 5 罐汤并喂饱了 15 个孩子，那么剩下的汤可以喂饱多少成人？

(A) 5 5 (B) 6 6 (C) 7 7 (D) 8 8 (E) 10 10

Q7

3³ + 3³ + 3³ =

$3^3 + 3^3 + 3^3 =$

(A) 3⁴ 3⁴ (B) 9³ 9³ (C) 3⁹ 3⁹ (D) 27³ 27³ (E) 3²⁷ 3²⁷

Q8

To control her blood pressure, Jill's grandmother takes one half of a pill every other day. If one supply of medicine contains 60 pills, then the supply of medicine will last approximately

为了控制血压，吉尔的祖母每隔一天吃半片药。如果一盒药含有 60 片，那么这盒药大约能用

(A) 1 month 1个月 (B) 4 months 4个月 (C) 6 months 6个月 (D) 8 months 8个月 (E) 1 year 1年

Q9

Consider the operation * defined by the following table: [table: 1*1=2,1*2=4,1*3=1,1*4=3; 2*?= table incomplete but from text; example 3*2=1]. Then (2 * 4) * (1 * 3) =

考虑由下表定义的操作 *：[表格：1*1=2,1*2=4,1*3=1,1*4=3; 2*?=表格不完整但从文本；例如3*2=1]。那么 (2 * 4) * (1 * 3) =

(A) 1 1 (B) 2 2 (C) 3 3 (D) 4 4 (E) 5 5

Q10

This line graph represents the price of a trading card during the first 6 months of 1993.

这条线图表示了 1993 年前 6 个月一张交易卡的价格。

(A) January 一月 (B) March 三月 (C) April 四月 (D) May 五月 (E) June 六月

Q11

Consider this histogram of the scores for 81 students taking a test: The median is in the interval labeled

考虑这81名学生考试成绩的直方图：中位数位于标记的区间

(A) 60 60 (B) 65 65 (C) 70 70 (D) 75 75 (E) 80 80

Q12

See the picture:

看图片：

(A) 9 9 (B) 10 10 (C) 15 15 (D) 16 16 (E) 19 19

Q13

The word "HELP" in block letters is painted in black with strokes 1 unit wide on a 5 by 15 rectangular white sign with dimensions as shown. The area of the white portion of the sign, in square units, is

单词“HELP”用1单位宽的黑线条在5×15的白色矩形标志上涂成块字母，尺寸如图所示。标志白色部分的面积（平方单位）是

(A) 30 30 (B) 32 32 (C) 34 34 (D) 36 36 (E) 38 38

Q14

The nine squares in the table shown are to be filled so that every row and every column contains each of the numbers 1, 2, 3. Then A + B =

表中的九个方格要填写，使得每行和每列都包含数字1、2、3。然后 A + B =

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

Q15

The arithmetic mean (average) of four numbers is 85. If the largest of these numbers is 97, then the mean of the remaining three numbers is

四个数的算术平均数（平均值）是85。其中最大的数是97，则其余三个数的平均数是

(A) 81.0 81.0 (B) 82.7 82.7 (C) 83.0 83.0 (D) 84.0 84.0 (E) 84.3 84.3

Q16

\frac{1}{1 + \frac{1}{2 + \frac{1}{3}}} =

(A) \frac{1}{6} \frac{1}{6} (B) \frac{3}{10} \frac{3}{10} (C) \frac{7}{10} \frac{7}{10} (D) \frac{5}{6} \frac{5}{6} (E) \frac{10}{3} \frac{10}{3}

Q17

Square corners, 5 units on a side, are removed from a 20 unit by 30 unit rectangular sheet of cardboard. The sides are then folded to form an open box. The surface area, in square units, of the interior of the box is

从一张20单位×30单位的矩形硬纸板上切掉四个边长为5单位的正方形角，然后将边折起形成一个开口盒子。盒子内部表面积是（平方单位）

(A) 300 300 (B) 500 500 (C) 550 550 (D) 600 600 (E) 1000 1000

Q18

The rectangle shown has length AC = 32, width AE = 20, and B and F are midpoints of AC and AE, respectively. The area of the quadrilateral ABDF is

如图所示的矩形，长AC=32，宽AE=20，B和F分别是AC和AE的中点。四边形ABDF的面积是

(A) 320 320 (B) 325 325 (C) 330 330 (D) 335 335 (E) 340 340

Q19

(1901 + 1902 + 1903 + \dots + 1993) - (101 + 102 + 103 + \dots + 193) =

$(1901 + 1902 + 1903 + \dots + 1993) - (101 + 102 + 103 + \dots + 193) =

(A) 167,400 167,400 (B) 172,050 172,050 (C) 181,071 181,071 (D) 199,300 199,300 (E) 362,142 362,142

Q20

When $10^{93} - 93$ is expressed as a single whole number, the sum of the digits is

当$10^{93} - 93$表示为单个整数时，其各位数字之和是

(A) 10 10 (B) 93 93 (C) 819 819 (D) 826 826 (E) 833 833

Q21

If the length of a rectangle is increased by 20% and its width is increased by 50%, then the area is increased by

如果一个长方形的长增加20%，宽增加50%，那么面积增加了

(A) 10% 10% (B) 30% 30% (C) 70% 70% (D) 80% 80% (E) 100% 100%

Q22

Pat Peano has plenty of 0’s, 1’s, 3’s, 4’s, 5’s, 6’s, 7’s, 8’s and 9’s, but he has only twenty-two 2’s. How far can he number the pages of his scrapbook with these digits?

Pat Peano 有大量的 0、1、3、4、5、6、7、8 和 9，但他只有二十二个 2。他能用这些数字为他的剪贴簿编号到多少页？

(A) 22 22 (B) 99 99 (C) 112 112 (D) 119 119 (E) 199 199

Q23

Five runners, P, Q, R, S, T, have a race, and P beats Q, P beats R, Q beats S, and T finishes after P and before Q. Who could NOT have finished third in the race?

五个跑步者 P、Q、R、S、T 参加比赛，P 打败 Q，P 打败 R，Q 打败 S，T 在 P 之后 Q 之前结束。谁不可能获得第三名？

(A) P and Q P 和 Q (B) P and R P 和 R (C) P and S P 和 S (D) P and T P 和 T (E) P, S and T P, S 和 T

Q24

What number is directly above 142 in this array of numbers? [triangular array 1 to ...]

在这个数字阵列中，142 正上方的数字是什么？[三角阵列 1 到 ...]

(A) 99 99 (B) 119 119 (C) 120 120 (D) 121 121 (E) 122 122

Q25

A checkerboard consists of one-inch squares. A square card, 1.5 inches on a side, is placed on the board so that it covers part or all of the area of each of n squares. The maximum possible value of n is

一个棋盘由一英寸见方的方格组成。一个边长 1.5 英寸的方形卡片放在棋盘上，使得它覆盖了 n 个方格的部分或全部区域。n 的最大可能值是

(A) 4 or 5 4 或 5 (B) 6 or 7 6 或 7 (C) 8 or 9 8 或 9 (D) 10 or 11 10 或 11 (E) 12 or more 12 或更多

AMC8 1993