8道SAT数学练习题目.

　　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。

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　　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 ofbags of apples range frompounds topounds. Ifis 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

　　Sinceand, it follows thatand, therore,. So.

　　3.The correct answer is B

　　Ifis the weight, in pounds, of one of the bags of apples, then it must be true that, because the weights of the bags range frompounds topounds. These inequalities are equivalent to, which are equivalent to. Using the dinition 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. Therore, 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 . Therore, 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.) Therore, 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. Therore, 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 fromfeet 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。澳际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。

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