2024年3月24日发(作者：福建教育院高升专数学试卷)
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SAT 数学真题精选
1. If 2 x + 3 = 9, what is the value of 4 x
(A) 5 (B) 9 (C) 15
–3 ?
(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).
（垂直） to L, what If line M (not shown) contains the point (0,0) and is perpendicular
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
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7. The least integer of a set of consecutive integers (
these integers is 127, how many integers are in this set?
(A) 126 (B) 127 (C) 252
连续整数 ) is –126. if the sum of
(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
nam
time; and each sophomore
’ s name is placed in the lottery 3 times; each junior ’ s
’ s name, 1 times. If a student ’ s name is chosen at random
’ s name will from the names in the lottery, what is the probability that a senior
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
Question #3: If a
(B) 2/3 (C) 4/9 (D) 1/2 (E) 2/9
2
+ 3 is divisible by 7, which of the following values can be a?
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(A)7 (B)8 (C)9 (D)11 (E)4
2
Question #4: What is the value of b, if x = 2 is a solution of equation x
(A)1/2 (B)-1/2 (C)5/2 (D)-5/2 (E)2
- b · x + 1 = 0?
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:
US
3
1
4
UK
2
4
1
Medals
gold
silver
bronze
(B)3 (C)6 (D)9 (E)4
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
lines l
1
and l
2
?
(b) x1 = 6 and x2 = -6
(d) x1 = -5 and x2 = 4
3
is perpendicular to both
(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
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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 αand βare the angles of the right triangle shown in the figure above, then sin
sin
2
βis equal to:
(a) cos( β) (b) sin( β) (c) 1 (d) cos
2
(β) (e) -1
2
α+
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)
a?
(a) a = 9 (b) a = 1 (c) a = 0 (d) a = 5 (e) a = 11
2
. What is the value of
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