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

8道SAT数学练习题及答案

  下面为大家整理的是8道SAT数学练习题的内容,后面附有详细的答案解析。SAT数学题拥有自己的逻辑关系和解题方法,这些都是大家在备考的时候,需要格外注意的部分。下面我们一起来看看这些数学题的详细内容吧。

  1.If a, b, and care numbers such that a over b = 3and b over c = 7, then (a+b) over (b+c)is equal to which of the following? 

  (A) 7 over 2

  (B)7 over 8

  (C) 3 over 7

  (D) 1 over 7

  (E) 21 

  2.A woman drove to work at an average speed of 40miles per hour and returned along the same route at 30miles per hour. If her total traveling time was 1hour, what was the total number of miles in the round trip? 

  Answer Choices

  (A) 30 

  (B) 30 and 1 over 7 

  (C) 34 and 2 over 7 

  (D) 35 

  (E) 40 

  3.What is the equation of the line parallel to the x-axis and four units above the x-axis? 

  (A)x = negative 4 

  (B)x = 4 

  (C)y = negative 4 

  (D)y = 0 

  (E)y = 4 

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

  Answer Choices

  (A) 40

  (B) 18

  (C) 9

  (D) 4

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

  5.A florist buys roses at 0.50 centsapiece and sells them for 1 dollarapiece. If there are no other expenses, how many roses must be sold in order to make a profit of 300 dollars

  (A) 100

  (B)150

  (C) 200

  (D) 300

  (E) 600 

  6.The stopping distance of a car is the number of feet that the car travels after the driver starts applying the brakes. The stopping distance of a certain car is directly proportional to the square of the speed of the car, in miles per hour, at the time the brakes are first applied. If the car’s stopping distance for an initial speed of 20miles per hour is 17feet, what is its stopping distance for an initial speed of 40miles per hour? 

  Answer Choices

  (A) 34feet 

  (B) 51feet 

  (C) 60feet 

  (D) 68feet 

  (E) 85feet  

  7.If Sis the set of positive integers that are multiples of 7, and if Tis the set of positive integers that are multiples of 13, how many integers are in the intersection of Sand T

  (A) None

  (B) One

  (C) Seven

  (D) Thirteen

  (E) More than thirteen

  8.8, a, 14, b, 20, ...

  The first term of the sequence above is 8. Which of the following could be the formula for finding the n thterm of this sequence for any positive integer n?

  Answer Choices

  (A) (2 times n) + 6

  (B) (3 times n + 5)

  (C) (5 times n) + 3

  (D) (6 times n) + 2

  (E) (6 times n) + 5

  Explanation

  1.The correct answer is A

  From a over b = 3is implied that (a+b) over b = 4(1) 

  And from b over c = 7is implied that b over (b+c) = 7 over 8(2) 

  If we multiply (1) and (2) together, we have that (a+b) over (b+c) = 4 times (7 over 8) = 7 over 2( bis canceled out).

  2.The correct answer is C

  Let trepresent the time it took the woman to drive to work. Since her total traveling time was 1hour, the time it took her to return home is 1 minus t. The distance in miles can be found using the formula distance = (rate) times (time). The distance traveled to work is 40 times t, and the return distance is 30 times (1 minus t). Since the distance to work is the same as the return distance, 40 times t = 30 times (1 minus t). Solving for tyields t = (3 over 7). So the distance one way is 40 times (3 over 7) = (120 over 7) = 17 times (1 over 7)miles. The total number of miles in the round trip is 2 times (17 times (1 over 7)), or 34 times (2 over 7)miles.

  3.The correct answer is E

  A line that is parallel to thex-axis and four units above thex-axis is the vertical translation of thex-axis four units upward. Since thex-axis is a horizontal line and has equationy = 0, it follows that the line parallel to thex-axis and four units above thex-axis has equationy = 4.

  4.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.

  5.The correct answer is E

  Each rose brings a profit of 1.00 dollarminus 0.50 dollar, or 0.50 dollar. The number of roses that need to be sold to make a profit of 300 dollarsis 300 dollars divided by 0.50 dollar. This is 600roses.

  6.The correct answer is D

  The stopping distance is directly proportional to the square of the initial speed of the car. If srepresents the initial speed of the car, in miles per hour, and drepresents the stopping distance, you have that the stopping distance is a function of sand that function d of s = c times (s^2), where cis a constant. Since the car’s stopping distance is 17feet for an initial speed of 20miles per hour, you know that 17 = c times 20^2. Therefore, c = 17 over 20^2 = 0.0425, and the car's stopping distance for an initial speed of 40miles per hour is 0.0425 times 40^2 = 68feet. 

  7.The correct answer is E

  The intersection of setsSandTis the set of integers that are inSand also inT. SetSconsists of all positive integers that are multiples of7, and setTconsists of all positive integers that are multiples of13, so the intersection ofSandTis the set of positive integers that are multiples of both7and13. This is the set of all positive integers that are multiples of7 times 13 = 91. There are an infinite number of positive integers that are multiples of91, so there are more than thirteen integers in the intersection ofSandT.

  8.The correct answer is B

  You do not know the value of the secondterm or the fourthterm of the sequence, but you do know the values of the first, third, and fifthterms. The correct formula must give 8as the value of the firstterm, 14as the value of the thirdterm, and 20as the value of the fifthterm. Choice E, (6 times n) + 5, gives 11, not 8, as the value of the firstterm. Choice A, (2 times n) + 6, gives 12, not 14, as the value of the thirdterm. Choice C, (5 times n) + 3, gives 18, not 14, as the value of the thirdterm. Choice D, (6 times n) + 2, gives 20, not 14, as the value of the thirdterm. This leaves choice B, (3 times n + 5), which gives the correct values for thefirst, third, and fifthterms of the sequence.

  以上就是这8道SAT数学练习题及答案的详细内容,包括了一些常见的知识点。大家可以在备考的时候,对此加以适当的练习和应用,测试自己在数学方面知识点的掌握情况。

更多SAT数学相关:

北京SAT数学培训

SAT数学题型及应对方法介绍

中国考生需要在SAT数学考试中使用计算器吗?

SAT数学填空题满分答题原则13个