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五道SAT数学题目练习及解析

下面为大家整理的是关于SAT数学题目练习的相关内容,包括了5道题目,后面附有详细的答案解析。sat数学题目的练习有助于大家更快更好的掌握数学考试的出题方式和答题技巧,下面大家就和我们一起来看看这些题目的详细内容吧。

1.At Central High School, the math club has members and the chess club hasmembers. If a total of students belong to only one of the two clubs, how many students belong to both clubs?

Answer Choices

(A)

(B)

(C)

(D)

(E)

2.Read the following SAT test question and then click on a button to select your answer.

In the figure above, which quadrants contain pairs that satisfy the condition ?

Answer Choices

(A)only

(B) and only

(C) and only

(D) and only

(E) , , , and

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

Answer Choices

(A)

(B)

(C)

(D)

(E)

4.A special lottery is to be held to select the student who will live in the only deluxe room in a dormitory. There are seniors, juniors, and sophomores who applied. Each senior's name is placed in the lottery times; each junior's name, times; and each sophomore's name, time. What is the probability that a senior's name will be chosen?

Answer Choices

(A)

(B)

(C)

(D)

(E)

5.Read the following SAT test question and then click on a button to select your answer.

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

Answer Choices

(A)

(B)

(C)

(D)

(E)

Explanation

1.The correct answer is C

Let stand for the number of students who belong to both clubs. The members of the math club can be broken down into two groups: those who are in both clubs (there are students in this category) and those who are in the math club only (there are students in this category).

The members of the chess club can also be broken down into two groups: students who are in both clubs and students who are in the chess club only.

Since a total of students belong to only one of the two clubs, you know that . Solving this equation gives , so students belong to both clubs

2.The correct answer is C

In order for to satisfy , it must be true that and are equal to each other and not equal to zero. An example of such a pair is , which is in quadrant .

In quadrant , all the values are negative and all the values are positive, so in quadrant , and cannot be equal. For example, the pair does not satisfy the condition, since , not .

In quadrant , the values and the values are both negative, so it is possible for and to be equal. For example, the pair is in quadrant and .

In quadrant , and cannot be equal because the values are positive and the values are negative. For example, the pair does not satisfy the condition, since .

The quadrants that contain pairs that satisfy the given condition are quadrants and only.

3.The correct answer is C

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

4.The correct answer is D

To determine the probability that a senior's name will be chosen, you must determine the total number of seniors' names that are in the lottery and divide this number by the total number of names in the lottery. Since each senior's name is placed in the lottery times, there are seniors' names. Likewise, there are juniors' names and sophomores' names in the lottery. The probability that a senior's name will be chosen is .

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. Therefore,. Of the choices, the only one with-coordinate equal tois. Therefore,could be the coordinates of point.

以上就是这5例SAT数学题目练习的全部内容,非常详细,包括了一些相对比较难的图表题目。大家可以在备考自己的SAT数学考试的时候,对这些题目进行适当的参考和练习,以便更好的应对数学考试。

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