0571-86011706

八道SAT数学选择题

作者: 2012-08-09 14:23 来源:杭州编辑
收藏

     下面是八道SAT数学选择题的内容,包括了代数和几何两个部分。SAT数学选择题可以帮助大家更快更好的了解这个题型,可以帮助大家熟悉SAT数学词汇,掌握解题技巧,非常有用。大家一起来练习一下吧,不是很难。

  1.If (t minus 2)^2 = 0, what is the value of (t+3) times (t+6)

  (A) 40

  (B) 18

  (C) 9

  (D) 4

  (E) It cannot be determined from the information given. 

  2.Ifsquare root (x minus a) = square root (x + b), which of the following must be true?

  (A)a = 0

  (B)b = 0

  (C)a + b = 0

  (D)a minus b = 0

   (E)(a^2) + (b^2) = 0

  3.Every student who studies art in a certain school receives exactly one of the grades A, B, C, or D. If 1 over 5of the students receive A’s, 1 over 4receive B’s, 1 over 2receive C’s, and 10students receive D’s, how many students in the school study art? 

  (A) 30

  (B) 60

  (C) 100

  (D) 200

  (E) 500

 

  4.The circle above has center P. Given segments of the following lengths, which is the length of the longest one that can be placed entirely inside this circle?

  (A) 6.99

  (B) 7.00

  (C) 7.99

  (D) 8.10

  (E) 14.00

   5.In triangle A B C, the length of side line B Cis 2and the length of side line A Cis 12. Which of the following could be the length of side line A B?

   (A) 6

  (B) 8

  (C) 10

  (D) 12

  (E) 14  

  6.In the xy-plane, line lpasses through the points0 comma 0and2 comma 5. Linemis perpendicular to linel. What is the slope of linem?

  (A)negative 5 over 2

  (B)negative 2 over 5

  (C)2 over 5

  (D)5 over 2

  (E)5

  7.If(x + y)^2 =x^2 + y^2, which of the following statements must also be true?

  Roman numeral 1.x = 0

  Roman numeral 2.(x minus y)^2 = x^2 + y^2

  Roman numeral 3.x times y = 0  

  (A) None

  (B)Roman numeral 1only

  (C)Roman numeral 2only

  (D)Roman numeral 3only

  (E)Roman numeral 2andRoman numeral 3  

  8.A 6-sided number cube, with faces numbered 1 through 6, is to be rolled twice. What is the probability that the number that comes up on the first roll will be less than the number that comes up on the second roll?

  (A) 1 over 4

  (B) 1 over 3

  (C) 5 over 12

  (D) 7 over 12

  (E) 1 over 2  

  Explanation

  1.The correct answer is A

  Since (t minus 2) ^ 2 = (t minus 2) times (t minus 2) = 0, it follows that t minus 2 = 0, and so t = 2. Therefore, (t + 3) times (t+6) = (2+3) times (2+6) = (5) times (8) = 40.

  2.The correct answer is C

  Squaring both sides of the equationsquare root (x minus a) = square root (x + b)gives the equationx minus a = x + b. Subtractingxfrom both sides now givesnegative a = b, ora + b = 0.

  3.The correct answer is D

  The students who receive A’s, B’s, and C’s account for (1 over 5) + (1 over 4) + (1 over 2)of the students, that is, 19 over 20. This leaves 1 over 20of the students receiving D’s. You know that 10students receive D’s, so 10is 1 over 20of the total. This means that the total number of students is10times 20, or 200.  

  4.The correct answer is C

  Since the radius of the circle is 4, the diameter of the circle is 8. In a circle, the diameter is longer than any segment that can be placed entirely inside the circle. Therefore, segments of length 8.10 or length 14.00 could not be placed entirely within the circle, and the correct answer is 7.99.

  5.The correct answer is D

  By the Triangle Inequality, the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side. Therefore, B C + A B greater than A C, or 2 + A B greater than 12. Thus, A B greater than 10, which eliminates options (A), (B), and (C). Also by the Triangle Inequality, B C + A C greater than A B, or 14 greater than A B, which eliminates choice (E). Therefore, of the given choices, only choice (D), 12, could be the length of side.

   6.The correct answer is B

  Linelpasses through the points0 comma 0and2 comma 5, so the slope of linelis equal to(5 minus 0) over (2 minus 0) = 5 over 2. Linesland m are perpendicular, so the slope of line m is equal to the negative reciprocal of the slope of linel. Therefore, the slope of line m isnegative 1 over (5 over 2) = negative 2 over 5.

  7.The correct answer is E

  The quantity(x + y)^2can be expressed asx^2 + 2 times x times y + y^2. If(x + y)^2 = x^2 + y^2, then2 times x times y = 0andx times y = 0. Sincex times y = 0, eitherx = 0ory = 0or both. Therefore, statementRoman numeral 3must be true, but statementRoman numeral 1,x = 0, is not always true. For statementRoman numeral 2, you can write(x minus y)^2 = x^2 minus 2 times x times y + y^2, and sincex times y = 0, it follows that(x minus y)^2 = x^2 + y^2. Therefore, both statementsRoman numeral 2andRoman numeral 3must be true.

  8.The correct answer is C

  The outcome space for this experiment is the set of all ordered pairs (a comma b)where arepresents the first number that comes up, and brepresents the second one. Since aand bcan take all the values 1through 6, there will be a total of 36possible outcomes. The outcomes can be represented in a table as shown:  

math graphic

 

  Among all the pairs (a comma b), 6are pairs for which a = b. So 30remaining pairs will have a not equal to b. Notice that the number of pairs (a comma b)for which a less than bis the same with the number of pairs(a comma b)for which a greater than b. Therefore the number of pairs(a comma b)for which a less than b, is 15(half of 30). Then the probability that a less than bis equal to (number of pairs (a comma b) comma where a less than b) over (number of all possbile outcomes = 15 over 36 = 5 over 12.

  以上就是这八道SAT数学选择题的全部内容,很简单。但是大家一定要记得,不要拿这些SAT数学选择题的难度和真正的SAT数学考试的难度相比,因为SAT数学考试的难度比这个要高,大家从中需要了解的是SAT数学考试的出题方式和相关词汇。

     更多SAT数学选择题相关问题点击在线咨询,即有机会获取系统随机抽取幸运大奖,《2011-2012雅思真题集》、《托福核心词汇》等好礼等你来拿!

姓名:
电话:
提交需求
  • 品牌简介
  • 项目
  • 课程中心
  • 线上课堂
  • 留学服务
  • 校区地址
您想学习哪门课程
    您的目标分数
      您的学习周期
      • 一个月
      • 三个月
      • 六个月
      • 六个月以上
      获取报价

      我们将在一个工作日内通知您报价结果

      热门活动

      注册/登录

      +86
      获取验证码

      登录

      +86

      收不到验证码?

      知道了

      找回密码

      +86
      获取验证码
      下一步

      重新设置密码

      为您的账号设置一个新密码

      保存新密码

      密码重置成功

      请妥善保存您的密码
      立即登录

      为了确保您的帐号安全

      请勿将帐号信息提供给他人/机构