2018年AMC8考題和答案解析

1、WORD格式WORD 資料 . 可編輯2021 AMC 8考題及答案Problem 1Which of the following values is largest?Problem 2Alicia, Brenda, and Colby were the candidates in a recent election forstudent president. The pie chart below shows how the votes weredistributed among the three candidates. If Brenda received 36 votes,then h

2、ow many votes were cast all together?Problem 3What is the value of the expression?專業(yè)資料整理WORD格式專業(yè)技術(shù) . 整理分享專業(yè)資料整理WORD格式WORD 資料 . 可編輯Problem 4When 0.000315 is multiplied by 7,928,564 the product is closest to whichof the following?Problem 5What is the value of the expression?Problem 6If the degree meas

3、ures of the angles of a triangle are in the ratio, what is the degree measure of the largest angle of thetriangle?Problem 7專業(yè)資料整理WORD格式專業(yè)技術(shù) . 整理分享專業(yè)資料整理WORD格式WORD 資料 . 可編輯Letbe a 6-digit positive integer, such as 247247, whose first threedigits are the same as its last three digits taken in the same

4、 order. Whichof the following numbers must also be a factor of?Problem 8Malcolm wants to visit Isabella after school today and knows the streetwhere she lives but doesn't know her house number. She tells him, "Myhouse number has two digits, and exactly three of the following fourstatements

5、about it are true."(1) It is prime.(2) It is even.(3) It is divisible by 7.(4) One of its digits is 9.This information allows Malcolm to determine Isabella's house number.What is its units digit?Problem 9專業(yè)資料整理WORD格式專業(yè)技術(shù) . 整理分享專業(yè)資料整理WORD格式WORD 資料 . 可編輯All of Marcy's marbles are blue, re

6、d, green, or yellow. One third of hermarbles are blue, one fourth of them are red, and six of them are green.What is the smallest number of yellow marbles that Marcy could have?Problem 10A box contains five cards, numbered 1, 2, 3, 4, and 5. Three cards areselected randomly without replacement from

7、the box. What is theprobability that 4 is the largest value selected?Problem 11A square-shaped floor is covered with congruent square tiles. If the totalnumber of tiles that lie on the two diagonals is 37, how many tiles coverthe floor?Problem 12專業(yè)資料整理WORD格式專業(yè)技術(shù) . 整理分享專業(yè)資料整理WORD格式WORD 資料 . 可編輯The sm

8、allest positive integer greater than 1 that leaves a remainder of 1when divided by 4, 5, and 6 lies between which of the following pairs ofnumbers?Problem 13Peter, Emma, and Kyler played chess with each other. Peter won 4games and lost 2 games. Emma won 3 games and lost 3 games. If Kylerlost 3 games

9、, how many games did he win?Problem 14Chloe and Zoe are both students in Ms. Demeanor's math class. Lastnight they each solved half of the problems in their homeworkassignment alone and then solved the other half together. Chloe hadcorrect answers to onlyof the problems she solved alone, butover

10、allof her answers were correct. Zoe had correct answers toof the problems she solved alone. What was Zoe's overallpercentage of correct answers?專業(yè)資料整理WORD格式專業(yè)技術(shù) . 整理分享專業(yè)資料整理WORD格式WORD 資料 . 可編輯Problem 15In the arrangement of letters and numerals below, by how manydifferent paths can one spell AMC

11、8? Beginning at the A in the middle, apath allows only moves from one letter to an adjacent (above, below,left, or right, but not diagonal) letter. One example of such a path istraced in the picture.Problem 16In the figure below, choose pointonso thatandhave equal perimeters. What is the area of?專業(yè)資

12、料整理WORD格式專業(yè)技術(shù) . 整理分享專業(yè)資料整理WORD格式WORD 資料 . 可編輯Problem 17Starting with some gold coins and some empty treasure chests, I tried toput 9 gold coins in each treasure chest, but that left 2 treasure chestsempty. So instead I put 6 gold coins in each treasure chest, but then Ihad 3 gold coins left over. Ho

13、w many gold coins did I have?Problem 18In the non-convex quadrilateralshown below,is aright angle, and.專業(yè)資料整理WORD格式專業(yè)技術(shù) . 整理分享專業(yè)資料整理WORD格式WORD 資料 . 可編輯What is the area of quadrilateral?Problem 19For any positive integer, the notationdenotes the product ofthe integersthrough. What is the largest inte

14、gerfor whichisa factor of the sum?Problem 20An integer betweenand, inclusive, is chosen at random.What is the probability that it is an odd integer whose digits are alldistinct?Problem 21Suppose, andare nonzero real numbers, and.What are the possible value(s) for?專業(yè)資料整理WORD格式專業(yè)技術(shù) . 整理分享專業(yè)資料整理WORD格式W

15、ORD 資料 . 可編輯Problem 22In the right triangle, and angleis a rightangle. A semicircle is inscribed in the triangle as shown. What is theradius of the semicircle?Problem 23Each day for four days, Linda traveled for one hour at a speed thatresulted in her traveling one mile in an integer number of minut

16、es. Eachday after the first, her speed decreased so that the number of minutesto travel one mile increased by 5 minutes over the preceding day. Eachof the four days, her distance traveled was also an integer number ofmiles. What was the total number of miles for the four trips?Problem 24專業(yè)資料整理WORD格式

17、專業(yè)技術(shù) . 整理分享專業(yè)資料整理WORD格式WORD 資料 . 可編輯Mrs. Sanders has three grandchildren, who call her regularly. One callsher every three days, one calls her every four days, and one calls herevery five days. All three called her on December 31, 2021. On howmany days during the next year did she not receive a phone call fromany of her grandchildren?Problem 25In the figure shown,andare line segments each of length 2,and. Arcsandare each one-sixth of a circlewith radius 2. What is the area of t