6道SAT数学练习题目.

2017-08-06 作者： 368阅读

　　下面为大家整理的是SAT数学题目的练习，共6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.The sum of the positive odd integers less thanis subtracted from the sum of the positive even integers less than or equal to. What is the resulting difference?

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　2.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?

　　(A) Two

　　(B) Three

　　(D) Six

　　(E) Nine

　　3.There arestudents in a biology class, and onlyof them are seniors. Ifjuniors are added to the class, how many students in the class will not be seniors?

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　4.If square root (x minus a) = square root (x + b), which of the following must be true?

　　Answer Choices

　　(A) a = 0

　　(B) b = 0

　　(D) a minus b = 0

　　(E) (a^2) + (b^2) = 0

　　5.If the function is dined by , and if , what is the value of ?

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

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

　　The circle above has center P. Given segments of the following lengths, which is the length of the longest one that can be placed entirely inside this circle?

　　(A) 6.99

　　(B) 7.00

　　(D) 8.10

　　(E) 14.00

　　Explanation

　　1.The correct answer is B

　　The sum of the positive odd integers less thanis, and the sum of the positive even integers less than or equal tois. When the first sum is subtracted from the second, the terms can be regrouped to form, which is just, where there areones. Therore, the correct answer is.

　　2.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.

　　3.The correct answer is D

　　At first, there arestudents in the class, andof them are seniors. It follows that initiallystudents are not seniors. Ifjuniors are added to the class, there will be, or, students in the class who are not seniors.

　　4.The correct answer is B

　　Squaring both sides of the equation square root (x minus a) = square root (x + b) gives the equation x minus a = x + b. Subtracting x from both sides now gives negative a = b, or a + b = 0

　　5.The correct answer is A

　　If the functionis dined by, and, then. Therore,.

　　6.The correct answer is C

　　Since the radius of the circle is 4, the diameter of the circle is 8. In a circle, the diameter is longer than any segment that can be placed entirely inside the circle. Therore, segments of length 8.10 or length 14.00 could not be placed entirely within the circle, and the correct answer is 7.99.

　　以上就是这6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。