无忧雅思网_雅思预测_雅思机经_雅思考试_雅思资料下载_雅思名师_2018年雅思考试时间

SAT数学练习题两道(附答案)

  下面是两道SAT数学练习题的内容,包括了答案解析。SAT数学练习题是大家熟悉SAT数学考试出题方式和思考方向最重要的途径,下面我们一起来看看这两道SAT数学练习题的具体内容吧,看看有哪些可取之处。

  1、IfSis the set of positive integers that are multiples of7, and ifTis the set of positive integers that are multiples of13, how many integers are in the intersection ofSandT?

  Answer Choices

  (A) None

  (B) One

  (C) Seven

  (D) Thirteen

  (E) More than thirteen

  The correct answer is E

  Explanation

  The intersection of sets Sand Tis the set of integers that are in Sand also in T. Set Sconsists of all positive integers that are multiples of 7, and set Tconsists of all positive integers that are multiples of 13, so the intersection of Sand Tis the set of positive integers that are multiples of both 7and 13. This is the set of all positive integers that are multiples of 7 times 13 = 91. There are an infinite number of positive integers that are multiples of 91, so there are more than thirteen integers in the intersection of Sand T.

  2、If kis divisible by 2, 3, and 15, which of the following is also divisible by these numbers?

 

  Answer Choices

  (A) k + 5

 

  (B) k + 15

 

  (C) k + 20

 

  (D) k + 30

 

  (E) k + 45

 

  The correct answer is D

  Explanation

  Since kis divisible by 2, 3, and 15, kmust be a multiple of 30, as 30is the least common multiple of 2, 3, and 15. Some multiples of 30are 0, 30, 60, 90, and 120.

 

  If you add two multiples of 30, the sum will also be a multiple of 30. For example, 60and 90are multiples of 30and their sum, 150, is also a multiple of 30.

 

  If you add a multiple of 30to a number that is not a multiple of 30, the sum will not be a multiple of 30. For example, 60is a multiple of 30and 45is not. Their sum, 105, is not a multiple of 30.

 

  The question asks which answer choice is divisible by 2, 3, and 15; that is, which answer choice is a multiple of 30. All the answer choices are in the form of "kplus a number." Only choice (D), k + 30, has kadded to a multiple of 30. The sum of kand 30is also a multiple of 30, so the correct answer is choice (D).

  以上就是这两道SAT数学练习题的全部内容,后面的答案解析非常清晰详细。大家在备考SAT数学考试的时候,一定要以掌握解题的思路为备考的重点,对于知识点的补充要更加的全面,这样才能更好的迎接SAT数学考试。

更多SAT数学相关:

北京SAT数学培训

SAT数学练习题目两道

SAT数学练习题一道

SAT数学考试内容和范围