下面是为大家准备的2013年8月17日—8月23日的6道SAT考试数学选择题练习题。同学们在备考SAT数学的过程中，一定要加强习题的练习，熟练到能充分理解题意，争取得到满分。
1.To make an orange dye,
parts of red dye are mixed with
parts of yellow dye. To make a green dye,
parts of blue dye are mixed with
part of yellow dye. If equal amounts of green and orange are mixed, what fraction of the new mixture is yellow dye?
(A)
(B)
(C)
(D)
(E)
2.
Which of the following could be the equation of the function graphed in the 
above?
(A) 
(B) 
(C) 
(D) 
(E) 
3.Of
employees,
are to be assigned an office and
are to be assigned a cubicle. If
of the employees are men and
are women, and if those assigned an office are to be chosen at random, what is the probability that the offices will be assigned to
of the men and
of the women?
(A)
(B)
(C)
(D)
(E)
4.The price of
pounds of apples is
dollars. If the apples weigh an average of
pound for every
apples, which of the following is the average price, in cents, of a dozen such apples?
(A)
(B)
(C)
(D)
(E)
5.If
, what is the value of
?
(A)
(B)
(C)
(D)
(E)
6.For how many positive two-digit integers is the ones digit greater than twice the tens digit?
(A)
(B)
(C)
(D)
(E)
参考答案及解析：
1.The correct answer is C
Explanation
Suppose that
quarts of the final mixture of dye will be made. Since it is to be made from equal amounts of orange and green dye, it will consist of
quarts of orange dye and
quarts of green dye. Since the orange dye has
parts yellow dye for each
parts total dye,
of it is yellow dye. Similarly,
of the green dye is yellow dye. The amount of yellow in the final mixture is given by
So
of the final mixture is yellow dye.
Note: Although “quarts” were used to express the amount of the final mixture, it could have been pints or any other unit of liquid measure.
2.The correct answer is D
Explanation
The function with equation 
and the function with equation 
each have a minimum value of 
when 
, but the function graphed does not have a minimum value of 
, so these options cannot be correct. The graph of the function with equation 
contains the point 
, but the function graphed does not contain any points with negative 
, so this option cannot be correct. The graph of the function with equation 
is not symmetric with respect to the 
, so it cannot be the equation of the function graphed. Therefore, the only equation that could correspond to the function graphed is 
. Its graph is the absolute value of a parabola opening upward with vertex at 
.
3.The correct answer is D
Explanation
Of the
office workers,
are to be assigned an office. This is an example of combinations: to find the number of ways of choosing
of the
workers, you can count the number of ways of selecting the workers one at a time and then divide by the number of times each group ofworkers will be repeated.
There areways of choosing the first worker to get an office. Then there will be
ways of choosing the second worker to get an office, andways of choosing the third worker. This is a total of
possibilities. In these
possible selections, each distinct group of
workers will occur
times. (There arepossibilities for the first worker chosen from the group,
for the second worker chosen, and only
for the third.) Therefore, there are
different ways theworkers who get an office can be chosen from theworkers.
How many of these
possible groups ofworkers consist of
men and
woman? From themale workers,
can be chosen indifferent ways. There are
possibilities for the female worker. Therefore,
of the groups ofworkers consist of
men and
woman.
Since there aredifferent ways theworkers who get an office can be chosen, and
of these possible groups of
workers consist ofmen andwoman, the probability that the offices will be assigned to
men and
woman is
, or
.
4.The correct answer is A
Explanation
If
apples weigh
pound, then a dozen (
) apples weigh
pounds. The price of a dozen apples is the price of
pounds of apples. The price of
pounds of apples is
dollars, or
cents, so the price of
pounds of apples is
of
cents, or
cents.
5.The correct answer is A
Explanation
If
, then
, so
.
6.The correct answer is A
Explanation
The correct answer is (A). If the tens digit is
, there are
positive two-digit integers with the ones digit greater than twice the tens digit:
and
. If the tens digit is
, there are
positive two-digit integers with the ones digit greater than twice the tens digit:
and
. If the tens digit is
, there are
positive two-digit integers with the ones digit greater than twice the tens digit:
and
. If the tens digit is
, there is
positive two-digit integer with the ones digit greater than twice the tens digit:
. If the tens digit is equal to or greater than
, then the ones digits, which cannot be greater than
, is not greater than twice the tens digit. Therefore, there is a total of
positive two-digit integers for which the ones digit is greater than twice the tens digit.
以上就是关于6道SAT考试数学选择题练习题及其答案和解析，非常详细。同学们在备考阶段，一定要加强习题的练习以及题意的理解，争取SAT数学满分。
