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SAT数学练习题5道(附答案)

  下面为大家整理的是5道SAT数学练习题的内容,后面都附有详细的答案解析。SAT数学考试是非常注重对考生实际运用知识点能力的考察的,所以大家在备考的时候,一定要多加练习才行。下面我们来看看详细内容吧。

math image

   1.In the figure above, the length ofline A Bis2 times xand the length ofline B Cis3 times x. If a point is chosen at random fromline A C, what is the probability that the point will lie online B C?

  (A)2 over 5

   (B)1 over 2 

  (C)3 over 5 

  (D)2 over 3 

  (E)5 over 6 

  2.What is the volume of a cube with surface area 54 times (x ^ 2)

  (A) 9 * (x^2)

  (B) 27 * x^3

  (C) 81 * (x^2)

  (D) 81 * (x^3)

  (E) 729 * (x^3)

  3.A group of workers can harvest all the grapes from10square meters of a vineyard in1 over 2minute. At this rate, how many minutes will the group need to harvest all the grapes from100square meters of this vineyard?

  Answer Choices

  (A)5

  (B)10 

  (C)20 

  (D)50 

  (E)60 

 

  4.The function f is graphed in the x y-plane above. If the function g is defined by function g of x = function f of x + 4, for how many values of x between negative 5 and 15 does function g of x equal 0?

  (A) None

  (B) One

  (C) Two

  (D) Three

  (E) More than three

  5.The sum of the positive odd integers less than50is subtracted from the sum of the positive even integers less than or equal to50. What is the resulting difference?

  (A)0 

  (B)25 

  (C)50 

  (D)100 

  (E)200

  Explanation

  1.The correct answer is C

  The probability that a point chosen fromline A Cwill lie online B Cis the ratio of the length ofline B Cto the length ofline A C. The length ofline A Bis2 times xand the length ofline B Cis3 times x, so the length ofline A Cis5 times x. Therefore, the ratio of the length ofline B Cto the length ofline A Cis(3 times x) over (5 times x) = 3 over 5.

  2.The correct answer is B

  Every cube has 6identical square faces. Since the total surface area of this cube is 54 times (x ^ 2), each face has area (54 times (x ^ 2)) over 6 equals 9 times (x ^2). Therefore, each edge has length square root (9 times (x ^2)), or 3 times x. The volume is (3 times x) ^ 3, or 27 times (x ^ 3).

  3.The correct answer is A

  Since100square meters is10times10square meters,10times as much time is needed to harvest the grapes from the100square meters of vineyard. 10 times 1 over 2minute= 10 over 2, which equals5minutes.

  4.The correct answer is C

  The graph of the function g is the same as the graph of the function f translated up 4 units. The function f intersects the x-axis three times, but if the graph is shifted up 4 units, then the graph will intersect the x-axis only twice. Therefore, function g of x is equal to 0 for exactly two values of x between negative 5 and 15.

   5.The correct answer is B

  The sum of the positive odd integers less than50is1 + 3 + 5 + ... + 45 + 47 + 49, and the sum of the positive even integers less than or equal to50is2 + 4 + 6 + ... + 46 + 48 + 50. When the first sum is subtracted from the second, the terms can be regrouped to form(2 minus 1) plus (4 minus 3) + ... + (48 minus 47) + (50 minus 49), which is just1 + 1 + 1 + ... + 1, where there are25ones. Therefore, the correct answer is25.

  以上就是这5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,以便及时调整自己的备考方案,提高备考的效率。