AMC8考题和答案解析.docx

1、AMC8考题和答案解析WORD 资料 . 可编辑2017 AMC 8 考题及答案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,

2、then how many votes were cast all together?Problem 3What is the value of the expression ?专业技术 . 整理分享WORD 资料 . 可编辑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 measures of the angl

3、es of a triangle are in the ratio, what is the degree measure of the largest angle of thetriangle?Problem 7专业技术 . 整理分享WORD 资料 . 可编辑Let be a 6-digit positive integer, such as 247247, whose first threedigits are the same as its last three digits taken in the same order. Whichof the following numbers m

4、ust also be a factor of ?Problem 8Malcolm wants to visit Isabella after school today and knows the streetwhere she lives but doesnt know her house number. She tells him, Myhouse number has two digits, and exactly three of the following fourstatements about it are true.(1) It is prime.(2) It is even.

5、(3) It is divisible by 7.(4) One of its digits is 9.This information allows Malcolm to determine Isabellas house number.What is its units digit?Problem 9专业技术 . 整理分享WORD 资料 . 可编辑All of Marcys marbles are blue, red, green, or yellow. One third of hermarbles are blue, one fourth of them are red, and si

6、x 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 the box. What is theprobability that 4 is the largest value selected?Problem 11A square-s

7、haped 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专业技术 . 整理分享WORD 资料 . 可编辑The smallest positive integer greater than 1 that leaves a remainder of 1when divided by 4, 5, and 6 lies between which

8、 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, how many games did he win?Problem 14Chloe and Zoe are both students in Ms. Demeanors math class. Lastnight they

9、 each solved half of the problems in their homeworkassignment alone and then solved the other half together. Chloe hadcorrect answers to only of the problems she solved alone, butoverall of her answers were correct. Zoe had correct answers toof the problems she solved alone. What was Zoes overallper

10、centage of correct answers?专业技术 . 整理分享WORD 资料 . 可编辑Problem 15In the arrangement of letters and numerals below, by how manydifferent paths can one spell AMC8? 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) lette

11、r. One example of such a path istraced in the picture.Problem 16In the figure below, choose point on so that andhave equal perimeters. What is the area of ?专业技术 . 整理分享WORD 资料 . 可编辑Problem 17Starting with some gold coins and some empty treasure chests, I tried toput 9 gold coins in each treasure ches

12、t, 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. How many gold coins did I have?Problem 18In the non-convex quadrilateral shown below, is aright angle, , , , and .专业技术 . 整理分享WORD 资料 . 可编辑What is the area of quadrilat

13、eral ?Problem 19For any positive integer , the notation denotes the product ofthe integers through . What is the largest integer for which isa factor of the sum ?Problem 20An integer between and , inclusive, is chosen at random.What is the probability that it is an odd integer whose digits are alldi

14、stinct?Problem 21Suppose , , and are nonzero real numbers, and .What are the possible value(s) for ?专业技术 . 整理分享WORD 资料 . 可编辑Problem 22In the right triangle , , , and angle is a rightangle. A semicircle is inscribed in the triangle as shown. What is theradius of the semicircle?Problem 23Each day for

15、four days, Linda traveled for one hour at a speed thatresulted in her traveling one mile in an integer number of minutes. 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 tra

16、veled was also an integer number ofmiles. What was the total number of miles for the four trips?Problem 24专业技术 . 整理分享WORD 资料 . 可编辑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 ca

17、lled her on December 31, 2016. On howmany days during the next year did she not receive a phone call fromany of her grandchildren?Problem 25In the figure shown, and are line segments each of length 2,and . Arcs and are each one-sixth of a circlewith radius 2. What is the area of the region shown?专业技术 . 整理分享WORD 资料 . 可编辑2017 AMC 8 Answer Key1. A2. E3. C4. D5. B6. D7. A8. D9. D10. C11. C12. D13. B14. C15. D16. D17. C18. B19. D专业技术 . 整理分享WORD 资料 . 可编辑20. B21. A22. D23. C24. D25. B专业技术 . 整理分享