AMC8竞赛真题(英文版)及答案

1、1. Rachelle uses 3 pounds of meat to make 8 hamburgers for her family. How many pounds of meat does she need to make 21 hamburgers for a neighborhood picnic?2 1(A) 6(B)G(C)(D)8(E)02. In ihf county of East WestrnoTe, statisticians estimate there is a baby born oven* 8 hours and a death every day. To

2、the nearest hundred, how many people are aildetl to llie iHjpulatiuu of Easl VVeslmoitf icii yuai ?(A) 600(B) 700(C) 800(D) 900(E) 10003. On Eebruary 13 lhe Oshkosh Northwester listed the length of daylight as 10 hours and 24 ndnutcs、the sunrise 昭 6:57 am, and the sunset as 8:1 PM. The length of day

3、light and sunrise were correct, but the sunsorder two inches wide on all sides of the photograph. The? photograph measures 8 inches high and 10 inches wide. What is the area of the boTder, in SQuare inches?(A) 36(B) 40(C) 64(D)沦 (E) 887. Isabels must take four 100-point tests in her math class. Her

4、goal is to achieve an average grade of at least 95 on the tests Her tirt two test scores were 97 and 91. After swing her score on the third test, she realized that she could still rcadi her goal. What is the lowest possible score she could have inside on the third test?(A) IK) (B) 92(C) 95(D) 96(E)

5、978. A shop advertthat everytliing is half price in today x sale. In additioiu a coupon gives a 20% discount oil sale prices. Using the coupon the price today represents what percentcige discount off the original price?(A) 10(B) S3 (C) 40(D) 60(E) 709. lite Fort Worth Zoo has a number of two-lesRcd

6、birds and a number of fonr- lc話cd mcunmal. On one visit to the zoo. Margie counted 200 heads and 522 legs. How many of the animals that Margie* counted were two*ggcd birds?(A) 61(B) 122(C) 139(D) 150(E) 1G110. How mnny 4-digit numbers greater than 1000 are there that use the four digits of 2012?(A)G

7、 (B) 7(C)8(D) 9(E) 121 L The mean, median, and unique mode of the positive integers 3. 4. 5, 6, G. 7, x are allWhat is the value of r?(A) 5(B) 6(C)7(D) 11(E) 1212. What is the units digit of 132012?(A) 1(B) 3(C)5(D) 7(E) 013. Jani ar bought some pencils costing more than % penny each at the school l

8、ookstore and paid $13 Sharona bought some of the sain ptixils and paid $187How many inorc peneib did Sharona buy than Jainar?(A) 2(B)3(C)4(D) 5(E) G14. In the BIG N. a middle school football conference, each team plays every other team exactly once. If a total of 21 conference games were played duri

9、ng the 2fll2 叫 how many teams were members of the BIG N conference?(A)G (B) 7(C)8(D)9(E) 10Th? smallest number greater than 2 rli：；t ieuves a remainder of 2 wlien divided by 3, 4、5, or 6 lies between what numl)ere?(A) 40 and 50(B) 51 and 55(C) 56 and GO (D) GI and Go(E) G6 and 991G Each of the digit

10、s C. 1. 2. 3. 4. 5. G. 7, 8, and 9 u used only once to make two five-digit nuinbcrs so that they have the largest posable bum. Which of the following： could be one of the inmibee?(A) 76531(B) 86724(C) 87431(D) 96240(E) 974()317. A square with an integer side length is cut into 10 squares, all of whi

11、ch have integer side length and at legist. 8 of which have area l.讥hat is the smallest possible valiw of the length of the xid of the original square?(A) 3(B) t (C5(D)6(E) 718. What is the smallest positive integcT that in neither prime nor square and that has no prixne Factor les than 50?(A) 3127(B

12、) 3133(C) 3137(D) 3139(E) 314919. In a jar of red, gnien. and blue marbles. all but G are red marbles, nil but 8 are green, and all but A are blue llow many marbles are in the jar?(A) 6(B) 8(C) 9(D) 10(E) 1820. What is the correct ordering of the three numbers 島.and 希.in increasing order?/AX975心579

13、957(A)W (B) 192123(C) 2319c&97759(D)Ii23en border What is the Area of one of the whit squares, in squ；ire feet?(A) 5y(B) 10(C 10v/5(D) 50(E) SOv22. Lt R be a st of nin distinct integers Six of the elements of the set are 2 3. I, 9、and 14. What is the number of possible values of the median of R?(A)

14、4(B) 5(C) 6(D) 7(E) 823. An equilateral triangle and a reguIaT hex Agon have equal perimeters. If the area of the triangle is 4. what is the area of the hexagon?(A) 4(B) 5(C) G (D) 4v5(E) 6、勺24. A circle of radius 2 is cut into four congruent are. The four arc are joined to form thft star figure sho

15、wn What is the ratio of the area of the star figure to the area uf the original circle?(A)(B)丄 匕 (D)(E)-7171Mrifl25. A square with arra is inscribed in a squarr- with arm 3. with one wrtrx of the- smaller squar& on each side of the larger squiirc A vortex of the smaller square divides a sid? of the larger square into