课程咨询
美国本科留学资料领取

扫码添加助教

免费领取

备考资料大礼包

扫码关注公众号

SAT数学: 练习题及解析(4)

2016-02-11 16:36:00来源:网络

  下面是几道SAT数学练习题,每道题目后面都有答案和详细的解析,希望同学们在练习的时候先不看答案,看看自己的能做对几道题,然后再与答案对照,找出错题原因,针对自己的SAT数学复习进行查漏补缺。

  1. If f(x) = (x + 2) / (x-2) for all integers except x=2, which of the following has the greatest value?

  A. f(-1)

  B. f(0)

  C. f(1)

  D. f(3)

  E. f(4)

SAT数学练习题 含详细答案及解析(4)

  2. ABCD is a square of side 3, and E and F are the mid points of sides AB and BC respectively. What is the area of the quadrilateral EBFD ?

  A. 2.25

  B. 3

  C. 4

  D. 4.5

  E. 6

  3. If n ≠ 0, which of the following must be greater than n?

  I 2n

  II n²

  III 2 - n

  A. I only

  B. II only

  C. I and II only

  D. II and III only

  E. None

  4. After being dropped a certain ball always bounces back to 2/5 of the height of its previous bounce. After the first bounce it reaches a height of 125 inches. How high (in inches) will it reach after its fourth bounce?

  A. 20

  B. 15

  C. 8

  D. 5

  E. 3.2

  5. n and p are integers greater than 1

  5n is the square of a number

  75np is the cube of a number.

  The smallest value for n + p is

  A. 14

  B. 18

  C. 20

  D. 30

  E. 50

  1.Correct Answer: D

  Explanation:

  You can solve this by back solving – substitute the answer choices in the expression and see which gives the greatest value.sat

  A (-1 + 2) / (-1-2) = -2 / 2 = -1;

  B (0 + 2) / (0-2) = 2/ -2 = -1;

  C (1 + 2) / (1-2) = 3/-1 = -3;

  D (3 + 2) / (3-2) = 5/1 = 5;

  E (4+ 2) / (4-2) = 6/2 = 3

  If you had just chosen the largest value for x you would have been wrong. So although it looks a long method, it is actually quick and accurate since the numbers are really simple and you can do the math in your head.

  2.Correct Answer: D

  Explanation:

  (Total area of square - sum of the areas of triangles ADE and DCF) will give the area of the quadrilateral 9 - (2 x ½ x 3 x 1.5) = 4.5

  3.Correct Answer: E

  Explanation:

  Remember that n could be positive negative or a fraction. Try out a few cases: In case I, if n is -1, then 2n is less than n. In case II, if n is a fraction such as ½ then n2 will be less than n. In case III, if n is 2, then 2-n = 0, which is less than n. Therefore, none of the choices must be greater than n

  4.Correct Answer: C

  Explanation:

  If after each bounce it reaches 2/5 of the previous height, then after the second bounce it will reach 2/5 x 125. After the third it will reach 2/5 x 2/5 x 125. After the fourth it will reach 2/5 x 2/5 x 2/5 x 125. This cancels down to 2 x 2 x 2 = 8

  5.Correct Answer: A

  Explanation:

  The smallest value for n such that 5n is a square is 5. 75np can now be written as 75 x 5 x p. This gives prime factors.... 3 x 5 x 5 x 5 x p To make the expression a perfect cube, p will have to have factors 3 x 3 , and hence p =9 n + p = 5 + 9 = 14

更多SAT考试真题、SAT数学、SAT词汇资料,敬请关注新东方在线SAT频道!

SAT水平能力测试【0元免费测试】

本文关键字: SAT数学 练习题及解析

美本留学资料大礼包

微信扫描二维码 回复【美本资料】

机考SATCB官方样题|可汗练习题|AP全科大纲/备考资料包

更多资料
更多>>
更多内容

添加美本助教号

自动领取备考资料大礼包

1. 打开手机微信【扫一扫】,识别上方二维码;
2.添加【美本助教】,自动领取留学备考资料大礼包。

可汗学院新SAT题目完整版

微信扫描下方二维码 即可获取

更多>>
更多公开课>>

2023美本留学资料免费领取

微信添加美本助教

新东方美本助教
更多>>
更多资料

添加新东方在线美本助教号

自动领取备考资料大礼包

1. 打开手机微信【扫一扫】,识别上方二维码;
2.添加【Ella助教】,自动领取留学备考资料大礼包。