下面为大家整理的是SAT数学题目的练习，共8道，都是代数方面的题目，后面附有详细的答案解析。SAT数学考试对中国考生来说最大的考验就是熟悉出题方式和解答方法，大家通过大量的练习才能达到这个目的，下面我们来看看详细内容吧。
获得更多信息咨询点击进入>>>>无忧免费咨询顾问或联系QQ客服：
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?
Answer Choices
(A) 
(B) 
(C) 
(D) 
(E) 
2.If 
and
, then
A.
B.
C.
D.
E.
3.The weights of
bags of apples range from
pounds to
pounds. If
is the weight, in pounds, of one of these bags, which of the following must be true?
Answer Choices
(A)
(B)
(C)
(D)
(E)
4.What is the maximum number of nonoverlapping squares with sides of length 3 that will fit inside of a square with sides of length 6?
Answer Choices
(A) Two
(B) Three
(C) Four
(D) Six
(E) Nine
5.The table above shows the temperatures, in degrees Fahrenheit, in a city in Hawaii over a one-week period. If 
represents the median temperature, 
represents the temperature that occurs most often, and 
represents the average (arithmetic mean) of the seven temperatures, which of the following is the correct order of 
, 
, and 
?
Answer Choices
(A) 
(B) 
(C) 
(D) 
(E) 
6.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?
Answer Choices
(A) 
(B) 
(C) 
(D) 
(E) 
7.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. 
8.A 
-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on concrete 
feet from the base of the building. If the top of the ladder slips down 
feet, then the bottom of the ladder will slide out
Answer Choices
(A) 
feet
(B) 
feet
(C) 
feet
(D) 
feet
(E) 
feet
Explanation
1.The correct answer is C
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
Since
and
, it follows that
and, therefore,
. So
.
3.The correct answer is B
If
is the weight, in pounds, of one of the bags of apples, then it must be true that
, because the weights of the bags range from
pounds to
pounds. These inequalities are equivalent to
, which are equivalent to
. Using the definition of absolute value, you have
.
4.The correct answer is C
Choice (C) is correct. A square with sides of length 3 has area 9, and a square with sides of length 6 has area 36. Thus at most 36 ÷ 9 = 4 squares of side length 3 can fit inside a square of side length 6 without overlapping. And in fact, it is possible to fit the four squares of side length 3 inside a square of side length 6 with no overlap; if the four squares with sides of length 3 are arranged in two rows with two squares in each row, they will fit inside of the square with sides of length 6 without overlapping. Therefore, the maximum number of nonoverlapping squares with sides of length 3 that will fit inside of a square with sides of length 6 is four.
5.The correct answer is A
To determine the correct order of 
, 
, and 
, it is helpful to first place the seven temperatures in ascending order as shown below.
The median temperature is the middle temperature in the ordered list, which is 
, so 
. The temperature that occurs most often, or the mode, is 
, so 
. To determine the average, you can add the seven numbers together and divide by 
. However, you can determine the relationship between the average and the median by inspection. The three numbers greater than 
are closer to 
than are the three numbers smaller than 
. Therefore, the average of the seven numbers will be less than 
. The correct order of 
, 
, and 
is 
.
6.The correct answer is D
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 of 
workers will be repeated.
There are 
ways of choosing the first worker to get an office. Then there will be 
ways of choosing the second worker to get an office, and 
ways of choosing the third worker. This is a total of 
possibilities. In these 
possible selections, each distinct group of 
workers will occur 
times. (There are 
possibilities for the first worker chosen from the group, 
for the second worker chosen, and only 
for the third.) Therefore, there are 
different ways the 
workers who get an office can be chosen from the 
workers.
How many of these 
possible groups of 
workers consist of 
men and 
woman? From the 
male workers, 
can be chosen in 
different ways. There are 
possibilities for the female worker. Therefore, 
of the groups of 
workers consist of 
men and 
woman.
Since there are 
different ways the 
workers who get an office can be chosen, and 
of these possible groups of 
workers consist of 
men and 
woman, the probability that the offices will be assigned to 
men and 
woman is 
, or 
.
7.The correct answer is A
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.
8.The correct answer is E
The ladder, the wall, and the ground form a right triangle with a 
-foot hypotenuse. At first, the bottom of the ladder is 
feet from the base of the building, so one leg of the right triangle measures 
feet; the length of the other leg, 
, can be found by solving 
, which is the Pythagorean theorem. From this, you can figure out that the other leg measures 
feet.
After the ladder slips down 
feet, the 
-foot leg of the right triangle becomes 
feet long. The other leg then has to be 
feet long. This length is found by solving 
, which is again the Pythagorean theorem.
Since the distance between the bottom of the ladder and the base of the building increases from
feet to 
feet, the amount that the bottom of the ladder slides out is 
feet.
以上就是这8道SAT数学练习题目的全部内容，非常详细。无忧小编建议大家在备考这些SAT数学题目的时候，可以根据答案和自己答题的实际情况，对数学方面的知识点和相关词汇进行更加有针对性的准备，就能更好的应对考试了。
更多SAT数学相关：
北京SAT数学培训
7道SAT数学练习题
5例SAT数学题目练习
SAT数学备考技巧之错题总结
