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全部分类AlgebraGeometryNumber TheoryCounting, Probability & Statistics
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1994 AMC8 #3 · Algebra · ★★
Each day Maria must work 8 hours. This does not include the 45 minutes she takes for lunch. If she begins working at 7:25 A.M.\text{7:25 A.M.} and takes her lunch break at noon, then her working day will end at
Maria 每天需要工作 8 小时，不包括 45 分钟的午休时间。如果她于上午 7:25\text{7:25} 开始工作，并在中午开始午休，那么她的工作日将结束于

正确答案：C · 分值：1

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1994 AMC8 #4 · Geometry · ★★
Which of the following represents the result when the figure shown below is rotated clockwise 120∘120^\circ about its center?
以下哪个表示将下图绕其中心顺时针旋转 120∘120^\circ 后的结果？

正确答案：B · 分值：1

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1994 AMC8 #5 · Algebra · ★
Given that 1 mile=8 furlongs\text{1 mile} = \text{8 furlongs} and 1 furlong=40 rods\text{1 furlong} = \text{40 rods}, the number of rods in one mile is
已知 \text{1 英里} = \text{8 弗隆}，\text{1 弗隆} = \text{40 杆}，则 1 英里等于多少杆？

正确答案：B · 分值：1

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1994 AMC8 #6 · Number Theory · ★★
The unit's digit (one's digit) of the product of any six consecutive positive whole numbers is
任意六个连续正整数的乘积的个位数字是

正确答案：A · 分值：1

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1994 AMC8 #7 · Geometry · ★★
If ∠A=60∘\angle A = 60^\circ , ∠E=40∘\angle E = 40^\circ and ∠C=30∘\angle C = 30^\circ , then ∠BDC=\angle BDC =
如果 ∠A=60∘\angle A = 60^\circ，∠E=40∘\angle E = 40^\circ，∠C=30∘\angle C = 30^\circ，则 ∠BDC=\angle BDC =

正确答案：B · 分值：1

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1994 AMC8 #8 · Number Theory · ★★
For how many three-digit whole numbers does the sum of the digits equal 25 ?
有多少个三位正整数，其各位数字之和等于 25？

正确答案：C · 分值：1

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1994 AMC8 #9 · Algebra · ★★
A shopper buys a 100 dollar coat on sale for 20% off. An additional 5 dollars are taken off the sale price by using a discount coupon. A sales tax of 8% is paid on the final selling price. The total amount the shopper pays for the coat is
一位顾客以 20% 折扣买了一件 100 美元的外套。使用折扣券再减 5 美元。最终售价需缴纳 8% 的销售税。顾客买这件外套总共支付多少钱？

正确答案：A · 分值：1

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1994 AMC8 #10 · Number Theory · ★★
For how many positive integer values of NN is the expression 36/N+2 an integer?
有多少个正整数值的 NN 能使表达式 36N+2\dfrac{36}{N+2} 为整数？

正确答案：A · 分值：1

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1994 AMC8 #11 · Counting, Probability & Statistics · ★★★
Last summer 100 students attended basketball camp. Of those attending, 52 were boys and 48 were girls. Also, 40 students were from Jonas Middle School and 60 were from Clay Middle School. Twenty of the girls were from Jonas Middle School. How many of the boys were from Clay Middle School?
去年夏天 100 名学生参加了篮球夏令营。参加者中 52 名男生，48 名女生。另有 40 名来自 Jonas 中学，60 名来自 Clay 中学。女生中有 20 名来自 Jonas 中学。男生中有多少名来自 Clay 中学？

正确答案：B · 分值：1

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1994 AMC8 #12 · Geometry · ★★★
Each of the three large squares shown below is the same size. Segments that intersect the sides of the squares intersect at the midpoints of the sides. How do the shaded areas of these squares compare?
下面所示的三个大正方形大小相同。与正方形边相交的线段在边的中点处相交。这些正方形的着色面积相比如何？

正确答案：A · 分值：1

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1994 AMC8 #13 · Algebra · ★★★
The number halfway between 16\dfrac{1}{6} and 14\dfrac{1}{4} is
16\dfrac{1}{6} 和 14\dfrac{1}{4} 正中间的数是多少？

正确答案：C · 分值：1

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1994 AMC8 #14 · Algebra · ★★★
Two children at a time can play pairball. For 90 minutes, with only two children playing at time, five children take turns so that each one plays the same amount of time. The number of minutes each child plays is
双人壁球每次只能两名儿童同时玩。在 90 分钟内，只有两名儿童同时在玩，五名儿童轮流上场，使得每人玩的时间相同。每名儿童玩多少分钟？

正确答案：E · 分值：1

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1994 AMC8 #15 · Number Theory · ★★★
If this path is to continue in the same pattern:
then which sequence of arrows goes from point 425 to point 427 ?
如果该路径按同样的模式继续：
那么从点 425 到点 427 应该是哪个箭头序列？

正确答案：A · 分值：1

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1994 AMC8 #16 · Geometry · ★★★
The perimeter of one square is 3 times the perimeter of another square. The area of the larger square is how many times the area of the smaller square?
一个正方形的周长是另一个正方形周长的 3 倍。大正方形的面积是小正方形面积的多少倍？

正确答案：E · 分值：1

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1994 AMC8 #17 · Algebra · ★★★
Pauline Bunyan can shovel snow at the rate of 20 cubic yards for the first hour, 19 cubic yards for the second, 18 for the third, etc., always shoveling one cubic yard less per hour than the previous hour. If her driveway is 4 yards wide, 10 yards long, and covered with snow 3 yards deep, then the number of hours it will take her to shovel it clean is closest to
Pauline Bunyan 第一小时可以铲 20 立方码的雪，第二小时 19 立方码，第三小时 18 立方码，以此类推，每小时比前一小时少铲一立方码。如果她的车道宽 4 码、长 10 码，覆盖着 3 码深的雪，那么她铲完雪所需的小时数最接近

正确答案：D · 分值：1

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1994 AMC8 #18 · Algebra · ★★★
Mike leaves home and drives slowly east through city traffic. When he reaches the highway he drives east more rapidly until he reaches the shopping mall where he stops. He shops at the mall for an hour. Mike returns home by the same route as he came, driving west rapidly along the highway and then slowly through city traffic. Each graph shows the distance from home on the vertical axis versus the time elapsed since leaving home on the horizontal axis. Which graph is the best representation of Mike's trip?
Mike 离开家，在城市交通中向东缓慢行驶。当他到达高速公路上时，他更快速地向东行驶，直到到达购物中心并停下来。他在购物中心购物一小时。Mike 按原路返回，沿高速公路快速向西行驶，然后缓慢通过城市交通到达家。每个图表的纵轴表示离家距离，横轴表示离家后经过的时间。哪张图能最好地表示 Mike 的行程？

正确答案：B · 分值：1

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1994 AMC8 #19 · Geometry · ★★★
Around the outside of a 4 by 4 square, construct four semicircles (as shown in the figure) with the four sides of the square as their diameters. Another square, ABCDABCD , has its sides parallel to the corresponding sides of the original square, and each side of ABCDABCD is tangent to one of the semicircles. The area of the square ABCDABCD is
在一个 4 × 4 正方形的四边外侧，以正方形的四条边为直径作四个半圆（如图所示）。另一个正方形 ABCDABCD 的各边与原正方形的对应边平行，且 ABCDABCD 的每条边都与一个半圆相切。正方形 ABCDABCD 的面积是

正确答案：E · 分值：1

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1994 AMC8 #20 · Algebra · ★★★
Let W,X,Y and ZZ be four different digits selected from the set {1,2,3,4,5,6,7,8,9}.\{ 1,2,3,4,5,6,7,8,9\}. If the sum WX+YZ\dfrac{W}{X} + \dfrac{Y}{Z} is to be as small as possible, then WX+YZ\dfrac{W}{X} + \dfrac{Y}{Z} must equal
设 W,X,Y 和 ZZ 是从集合 {1,2,3,4,5,6,7,8,9}\{1,2,3,4,5,6,7,8,9\} 中选出的四个不同数字。
若要和 WX+YZ\dfrac{W}{X} + \dfrac{Y}{Z} 尽可能小，则 WX+YZ\dfrac{W}{X} + \dfrac{Y}{Z} 必须等于

正确答案：D · 分值：1

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1994 AMC8 #21 · Counting, Probability & Statistics · ★★★
A gumball machine contains 9 red, 7 white, and 8 blue gumballs. The least number of gumballs a person must buy to be sure of getting four gumballs of the same color is
一台口香糖机装有 9 颗红色、7 颗白色和 8 颗蓝色口香糖。要确保得到四颗同色的口香糖，最少需要买多少颗？

正确答案：C · 分值：1

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1994 AMC8 #22 · Counting, Probability & Statistics · ★★★
The two wheels shown below are spun and the two resulting numbers are added. The probability that the sum is even is
如图所示，两个转盘各自旋转一次，将所得两数相加。和为偶数的概率是

正确答案：D · 分值：1

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1994 AMC8 #23 · Number Theory · ★★★★
If XX, YY and ZZ are different digits, then the largest possible 3-digit sum for the addition problem shown below has the form
若 XX、YY 和 ZZ 是不同的数字，则如下所示加法算式的最大可能三位数和的形式为

正确答案：D · 分值：1

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1994 AMC8 #24 · Counting, Probability & Statistics · ★★★★
A 2 by 2 square is divided into four 1 by 1 squares. Each of the small squares is to be painted either green or red. In how many different ways can the painting be accomplished so that no green square shares its top or right side with any red square? There may be as few as zero or as many as four small green squares.
一个 2 × 2 的正方形被分成四个 1 × 1 的小正方形。每个小正方形要被涂成绿色或红色。共有多少种不同的涂色方式，使得没有绿色正方形与任何红色正方形共享其顶边或右边？小绿色正方形的数量可以从零到四个不等。

正确答案：B · 分值：1

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1994 AMC8 #25 · Number Theory · ★★★★
Find the sum of the digits in the answer to 9999⋯99⏟94 nines×4444⋯44⏟94 fours\underbrace{9999\cdots 99}_{94\text{ nines}} \times \underbrace{4444\cdots 44}_{94\text{ fours}} where a string of 94 nines is multiplied by a string of 94 fours.
求以下乘积的各位数字之和：
\underbrace{9999\cdots 99}_{94\text{ 个 9}} \times \underbrace{4444\cdots 44}_{94\text{ 个 4}}
即 94 个 9 组成的数乘以 94 个 4 组成的数。

正确答案：A · 分值：1

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