6道精选SAT数学练习题.

2017-08-06 作者： 297阅读

　　下面是6道SAT数学练习题的内容，都是精选自SAT官方每日一题的数学部分。SAT数学练习题可以帮助大家更快更好的解答SAT数学题，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。

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　　1.The histogram above shows the distribution of 31 black cherry trees, by height. For example, the ltmost bar represents the black cherry trees that are at least 60 feet, but not less than 65 feet, in height. Based on the histogram, which of the following can be the average (arithmetic mean) height of the 31 black cherry trees?

　　Answer Choices

　　(A) 70 feet

　　(B) 72 feet

　　(D) 78 feet

　　(E) 80 feet　　

　　2.In the figure above, O is the center of the circle and triangle A B O is equilateral. If the sides of triangle A B O are of length 6, what is the length of line B C?

　　(A) 3 times square root 3

　　(B) 4 times square root 3

　　(D) 9

　　(E) 12

　　3.When the positive integer n is divided by 5, the remainder is 0. What is the remainder when 3n is divided by 5?

　　(A) 0

　　(B) 1

　　(D) 3

　　(E) 4

　　4.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

　　(D) 7 over 12

　　(E) 1 over 2

　　5.The quadratic functionis graphed in the-plane above. Iffor all values of, which of the following could be the coordinates of point?

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　6.In a certain lawn-mower factory, 0.06 percent of all mowers produced are dective. On the average, there will be 3 dective mowers out of how many produced?

　　(A) 500

　　(B) 1800

　　(D) 18000

　　(E) 50000

　　Explanation

　　1.The correct answer is C

　　The histogram does not give the recorded heights for each cherry tree, but rather the intervals in which the heights lie. Thus, to find possible values for the average (arithmetic mean) height, one can find lower and upper bounds for the average height by calculating the averages of lower and upper interval bounds of the histogram with the frequencies given. A lower bound for the average, found by using the value at the lt endpoint of the interval, is feet, and so feet would be an upper bound for the average height. Therore, the average height of the 31 black cherry trees can be between 72.74 feet and 77.74 feet. Of the choices given, only 74 feet can be a possible value for the average height of the 31 black cherry trees.

　　2.The correct answer is C

　　Choice (C) is correct. Since triangle A B O is equilateral, each of its angles has measure

　　60 degrees. It follows that angle B O C has measure 120 degrees. Since line O B and line O C are radii of the same circle, they are of equal length, and so delta O C B is isosceles. Hence angle O B C and angle O C B each have measure 30 degrees. Thus angle A B C has measure 60 degrees + 30 degrees = 90 degrees, and so triangle A B C is a 30 degrees minus 60 degrees minus 90 degrees right triangle. Since line A B, the side opposite the 30 degrees angle in triangle A B C, is of length 6, it follows that line B C, the side opposite the 60 degrees angle, is of length 6 times square root 3

　　3.The correct answer is A

　　Choice (A) is correct. When the positive integer n is divided by 5, the remainder is 0. It follows that n is a multiple of 5. Therore, 3n is also a multiple of 5, and so the remainder when 3n is divided by 5 is likewise 0.

　　4.The correct answer is C

　　The outcome space for this experiment is the set of all ordered pairs where represents the first number that comes up, and represents the second one. Since and can take all the values through , there will be a total of possible outcomes. The outcomes can be represented in a table as shown:　　　　Among all the pairs , are pairs for which . So remaining pairs will have . Notice that the number of pairs for which

is the same with the number of pairsfor which . Therore the number of pairsfor which , is (half of ). Then the probability that is equal to .

　　5.The correct answer is C

　　The fact thatfor all values ofmeans that the pointis the maximum of the quadratic function, somust be the vertex of the parabola. The parabola intersects the-axis at the pointsand, somust be halfway betweenand. Therore,. Of the choices, the only one with-coordinate equal tois. Therore,could be the coordinates of point.

　　6.The correct answer is C

　　Recall that 0.06 percent means 0.06 out of every 100, or 6 out of every 10000. The question asks for an equivalent ratio: 3 out of how many. The ratio 6 out of 10000 can be reduced (by dividing both members by 2) to 3 out of 5000.

　　以上就是这6道精选SAT数学练习题的全部内容。大家一定要记得，不要拿这些SAT数学练习题的难度和真正的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。