ACT数学备考，每日一练（四）

　　ACT考试的第二部分是数学（Mathematics Test），时长为60分钟，共60道题。对于中国考生来说，ACT数学的题目相对简单，并且可以使用计算器。但是，能拿到满分的考生并不多。

　　ACT数学考察内容主要包括：

　　算术（Pre-Algebra）

　　初级代数（Elementary Algebra）

　　中级代数（Intermediate Algebra）

　　几何坐标（Coordinate Geometry）

　　平面几何（Plane Geometry）

　　三角学（Trigonometry）

　　试题分析

　　16. For the imaginary number i, which of the followingis a possible value of i to the nth power if n is an integer less than 5?

　　F. 0

　　G. -1

　　H. -2

　　J. -3

　　K. -4

　　正确答案选G。

　　17. A dress that usually sells for $60 is on sale for30% off. Shondra has a store credit card that gives her an additional 10% offthe reduced price of any item. Excluding sales tax, what is the price she paysfor the dress?

　　A. $22.20

　　B. $24.75

　　C. $34.00

　　D. $36.00

　　E. 37.80

　　正确答案选择E。 $60 x30% = $18，也就这件衣服折扣价为$42，在$42的基础上打了10%的折扣，即$42 x 10$% = $4.20，折合$37.8。

　　18. Two similar triangles have perimeters in the ratioof 5:6. The sides of the larger triangle measure 12 in, 7 in and 5 in. What isthe perimeter in inches of the smaller triangle?

　　F. 18

　　G. 20

　　H. 22

　　J. 24

　　K. 32

　　正确答案选择G。首先，最大三角形周长为24，按照比例，5/6 = x / 24，所以 x = 20。

　　19. A hamster is running on his wheel when the wheelbreaks free of its axis due to a mechanical error. The hamster remains in thewheel, running in a straight line until the wheel has rotated exactly 15 times.If the diameter of the wheel is 10 inches, how many inches has the wheelrolled?

　　A. 75

　　B. 150

　　C. 75pi

　　D. 150pi

　　E. 1,500pi

　　正确答案选择D。直径为10，周长为10pi，转了15次，即 乘以15，为150pi。

　　20. Janie has 5 novels and 7 memoirs on the bookshelfin her dorm room. As she randomly selects a book to read at the end of thenight, what is the probability that the book she selects is a novel?

　　F. 1/5

　　G. 5/7

　　H. 1/12

　　J. 5/12

　　K. 7/12

　　正确答案选择J。　　

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