sat数学考试试题

SAT数学真题精选

1. If 2 x + 3 = 9, what is the value of 4 x – 3 ?

(A) 5 (B) 9 (C) 15 (D) 18 (E) 21

2. If 4(t + u) + 3 = 19, then t + u = ?

(A) 3 (B) 4 (C) 5 (D) 6 (E) 7

3. In the xy-coordinate (坐标) plane above, the line contains the points (0,0) and (1,2). If line M (not shown) contains the point (0,0) and is perpendicular （垂直） to L, what is an equation of M?

(A) y = -1/2 x

(B) y = -1/2 x + 1

(C) y = - x

(D) y = - x + 2

(E) y = -2x

4. If K is divisible by 2,3, and 15, which of the following is also divisible by these numbers?

(A) K + 5 (B) K + 15 (C) K + 20 (D) K + 30

(E) K + 45

5. There are 8 sections of seats in an auditorium. Each

section contains at least 150 seats but not more than 200 seats. Which of the following could be the number of seats in this auditorium?

(A) 800 (B) 1,000 (C) 1,100 (D) 1,300

(E) 1,700

6. If rsuv = 1 and rsum = 0, which of the following must be true?

(A) r < 1 (B) s < 1 (C) u= 2 (D) r = 0 (E) m = 0

7. The least integer of a set of consecutive integers (连续整数) is –126. if the sum of these integers is 127, how many integers are in this set?

(A) 126 (B) 127 (C) 252 (D) 253 (E) 254

8. A special lottery is to be held to select the student who

will live in the only deluxe room in a dormitory. There are 200 seniors, 300 juniors, and 400 sophomores who applied. Each senior’s name is placed in the lottery 3 times; each junior’s name, 2 time; and each sophomore’s name, 1 times. If a student’s name is chosen at random from the names in the lottery, what is the probability that a senior’s name will be chosen?

（A）1/8 (B) 2/9 (C) 2/7 (D) 3/8 (E)

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Question #1: 50% of US college students live on campus. Out of all students living on campus, 40% are graduate students. What percentage of US students are graduate students living on campus?

(A) 90% (B) 5% (C) 40% (D) 20% (E) 25% Question #2: In the figure below, MN is parallel with BC and AM/AB = 2/3. What is the ratio between the area of triangle AMN and the area of triangle ABC?

(A) 5/9 (B) 2/3 (C) 4/9 (D) 1/2 (E) 2/9 Question #3: If a2 + 3 is divisible by 7, which of the following values can be a?

(A)7 (B)8 (C)9 (D)11 (E)4

Question #4: What is the value of b, if x = 2 is a solution of equation x2 - b · x + 1 = 0?

(A)1/2 (B)-1/2 (C)5/2 (D)-5/2 (E)2

Question #5: Which value of x satisfies the inequality | 2x | < x + 1 ?

(A)-1/2 (B)1/2 (C)1 (D)-1 (E)2

Question #6: If integers m > 2 and n > 2, how many (m, n) pairs satisfy the inequality m n < 100?

(A)2 (B)3 (C)4 (D)5 (E)7

Question #7: The US deer population increase is 50% every 20 years. How may times larger will the deer population be in 60 years ?

(A)2.275 (B)3.250 (C)2.250 (D)3.375 (E)2.500

Question #8: Find the value of x if x + y = 13 and x - y = 5.