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SAT数学练习题目五道

  下面为大家推荐的是五道SAT数学练习题的内容,后面附有详细的答案解析。SAT数学题对于中国考生来说难度不大,但是想要拿到高分也不是一件那么容易的事,需要经过大家不断的练习才行。

  1.In a class of80seniors, there are3boys for every5girls. In the junior class, there are3boys for every2girls. If the two classes combined have an equal number of boys and girls, how many students are in the junior class?

  (A)72 

  (B)80 

  (C)84 

  (D)100 

  (E)120 

  2.Four distinct lines lie in a plane, and exactly two of them are parallel. Which of the following could be the number of points where at least two of the lines intersect?  

       Roman numeral 1. Three 

       Roman numeral 2. Four  

       Roman numeral 3. Five

  Answer Choices

  (A) Roman numeral 1only 

  (B)Roman numeral 3only 

  (C) Roman numeral 1and Roman numeral 2only 

  (D) Roman numeral 1and Roman numeral 3only

   (E) Roman numeral 1, Roman numeral 2, and Roman numeral 3 

  3.If the graph of the functionfunction fin thex times y-plane contains the points(0 comma negative 9),(1 comma negative 4), and(3 comma 0), which of the following CANNOT be true?

  (A) The graph offunction fhas a maximum value.

  (B)y less than or equal to 0for all points(x comma y)on the graph offunction f.

  (C) The graph offunction fis symmetric with respect to a line.

  (D) The graph offunction fis a line.

  (E) The graph offunction fis a parabola.

  4.All numbers divisible by both 4and 15are also divisible by which of the following? 

  Answer Choices

  (A) 6 

  (B) 8 

  (C) 18 

  (D) 24 

  (E) 45 

graphic

  5.In a survey, a group of students from Westville High School were asked about their favorite movie genre. Each student in the group selected exactly one movie genre, and the data collected are summarized in the circle graph above. If 40 more students chose Action than Fiction, how many students were surveyed in total?

  (A) 100

  (B) 150

  (C) 200

  (D) 250

  (E) 300

  Explanation

  1.The correct answer is D

  Among theeightyseniors, there areboys for everygirls, so3 over 8of the seniors, or30, are boys and5 over 8, or50, are girls. Among the juniors,3 over 5are boys and2 over 5are girls. Ifxstands for the total number of juniors, then3 over (5 times x)are boys and2 over (5 times x)are girls. The total number of senior and junior boys is30 plus 3 over (5 times x). The total number of senior and junior girls is50 + 2 over (5 times x). The question states that these quantities are equal, so30 + 3 over (5 times x) = 50 + 2 over (5 times x). Solving this gives150 + 3 times x = 250 + 2 times x, orx = 100 .

  2.The correct answer is D

  Since exactly two of the four lines are parallel, the other two lines are not parallel. If the two non-parallel lines intersect at a point that is not on either one of the parallel lines, then the configuration of lines will give a total of 5points of intersection. (The best way to verify this is by drawing the two parallel lines and then putting in the other two lines.) If, on the other hand, the two non-parallel lines intersect at a point that is on one of the parallel lines, then there will be a total of 3points of intersection in the figure. (Again, a sketch is the best way to verify this.) Any arrangement of the four lines will again yield either 3or 5points of intersection. Since you can’t obtain four points of intersection, the correct answer is Roman numeral 1and Roman numeral 3only. 

  3.The correct answer is D

  If the graph of the functionfunction f, which contains the points(0 comma negative 9),(1 comma negative 4), and(3 comma 0), were a line, then the slope of the segment connecting the points(0 comma negative 9)and(1 comma negative 4)would be the same as the slope of the segment connecting the points(1 comma negative 4)and(3 comma 0). However, the slope of the segment connecting the points(0 comma negative 9)and(1 comma negative 4)is5, and the slope of the segment connecting the points(1 commanegative 4)and(3 comma 0)is2. Therefore, the graph offunction fcannot be a line.

  The statements in the other four options could be true. For example, if the equation offunction fwerey = minus (x minus 3)^2, then the graph offunction fwould contain the points(0 comma minus 9),(1 comma minus 4), and(3 comma 0). The graph offunction fwould be a parabola symmetric with respect to the line with equationx = 3. The maximum value offunction fwould occur at the point(3 comma 0), andy less than or equal to 0would be true for all points(x comma y)on the graph offunction f.

  4.The correct answer is A

  All numbers divisible by both 4and 15are the multiples of 4and 15. Since 4and 15have no prime factor in common (4 = 2^2 comma 15 = 3 times 5), then the least common multiple of 4and 15is equal to their product, namely 4 times 15 = 60. Every other multiple of 4and 15is divisible by 60. Thus, if 60is divisible by a number then all the multiples of 4and 15are divisible by that number. Therefore, it is enough to check by which number in the given options is 60divisible. Only 6divides60and none of the other do. The answer must be (A)

  5.The correct answer is D

  From the circle graph,30 %of the students surveyed chose Action and14 %chose Fiction as their favorite movie genre. Hence40students is equal to30 % minus 14 % = 16 %of the total number of students surveyed. LetNbe the number of students surveyed; then the last statement can be written symbolically as0.16 times N = 40. Solving forNgivesN = 250. Therefore, the total number of students surveyed was250.

  以上就是这五道SAT数学练习题目的全部内容,非常详细。大家可以在备考自己的SAT数学考试的时候,对此加以适当的参考和借鉴。