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single(完整版)sat数学考试试题(可编辑修改word版)

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2021-01-10 23:03
tags:英语考试, 外语学习

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2021年1月10日发(作者:张雨绮)

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

第 1 页 共 11 页

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) 1/2


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 a
2
+ 3 is divisible by 7, which of the following values can be a?

第 2 页 共 11 页

(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 x
2
- 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.
(A)2
Question #9:

(B)3 (C)6 (D)9 (E)4
US
3
1
4
UK
2
4
1
Medals
gold
silver
bronze
The number of medals won at a track and field championship is shown in the table
above. What is the percentage of bronze medals won by UK out of all medals won by
the 2 teams?
(A)20% (B)6.66% (C)26.6% (D)33.3% (E)10%

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Question #10: The edges of a cube are each 4 inches long. What is the surface area, in
square inches, of this cube?
(A)66 (B)60 (C)76 (D)96 (E)65



Question #1: The sum of the two solutions of the quadratic equation f(x) = 0 is equal
to 1 and the product of the solutions is equal to -20. What are the solutions of the
equation f(x) = 16 - x ?
(a) x1 = 3 and x2 = -3
(c) x1 = 5 and x2 = -4
(e) x1 = 6 and x2 = 0
Question #2: In the (x, y) coordinate plane, three lines have the equations:
l
1
: y = ax + 1
l
2
: y = bx + 2
l
3
: y = cx + 3
Which of the following may be values of a, b and c, if line l
3
is perpendicular to both
lines l
1
and l
2
?
(a) a = -2, b = -2, c = .5
(c) a = -2, b = -2, c = -2
(e) a = 2, b = -2, c = 2
(b) a = -2, b = -2, c = 2
(d) a = -2, b = 2, c = .5
(b) x1 = 6 and x2 = -6
(d) x1 = -5 and x2 = 4

第 4 页 共 11 页

Question #3: The management team of a company has 250 men and 125 women. If
200 of the managers have a master degree, and 100 of the managers with the master
degree are women, how many of the managers are men without a master degree? (a)
125 (b) 150 (c) 175 (d) 200 (e) 225
Question #4: In the figure below, the area of square ABCD is equal to the sum of the
areas of triangles ABE and DCE. If AB = 6, then CE =




(a) 5
Question #5:

(b) 6 (c) 2 (d) 3 (e) 4
If α and β are the angles of the right triangle shown in the figure above, then sin
2
α +
sin
2
β is equal to:
(a) cos(β) (b) sin(β) (c) 1 (d) cos
2
(β) (e) -1
Question #6: The average of numbers (a + 9) and (a - 1) is equal to b, where a and b
are integers. The product of the same two integers is equal to (b - 1)
2
. What is the
value of a?
(a) a = 9 (b) a = 1 (c) a = 0 (d) a = 5 (e) a = 11

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