国外英语考试《SAT Level 2》预测试题卷一
SAT Level 2
预测试卷
共 49 题
249 次浏览
更新于 2026-09-27
一、选择题
-
1
Directions: Select the BEST answer for each of the 50 multiple-choice questions.If the exact solution is not one of the five choices, select the answer that is the best approximation.Then fill in the appropriate oval on the answer sheet.
NOTES:
(1) A calculator will be needed to answer some of the questions on the test.Scientific, programmable, and graphing calculators are permitted.It is up to you to determine when and when not to use your calculator.
(2) For some questions in Level 2 test you may have to decide whether your calculator should be in the radian mode or the degree mode.
(3) Figures are drawn as accurately as possible and are intended to help solve some of the test problems.If a figure is not drawn to scale, this will be stated in the problem.All figures lie in a plane unless the problem indicates otherwise.
(4) Unless otherwise stated, the domain of a function f is assumed to be the set of real numbers x for which the value of the function, f(x), is a real number.
(5) Reference information that may be useful in answering some of the test questions can be found below.
A yellow marble, a blue marble, a red marble, a white marble, and a green marble are dropped into an empty jar, in the order given.This process is repeated until there are 88 marbles in the jar.How many red marbles are in the jar?
NOTES:
(1) A calculator will be needed to answer some of the questions on the test.Scientific, programmable, and graphing calculators are permitted.It is up to you to determine when and when not to use your calculator.
(2) For some questions in Level 2 test you may have to decide whether your calculator should be in the radian mode or the degree mode.
(3) Figures are drawn as accurately as possible and are intended to help solve some of the test problems.If a figure is not drawn to scale, this will be stated in the problem.All figures lie in a plane unless the problem indicates otherwise.
(4) Unless otherwise stated, the domain of a function f is assumed to be the set of real numbers x for which the value of the function, f(x), is a real number.
(5) Reference information that may be useful in answering some of the test questions can be found below.
A yellow marble, a blue marble, a red marble, a white marble, and a green marble are dropped into an empty jar, in the order given.This process is repeated until there are 88 marbles in the jar.How many red marbles are in the jar?- A.17
- B.18
- C.19
- D.20
- E.21
2
In a certain sequence of numbers, each number after the first is 7 less than twice the preceding number.If the third number in the sequence is 23, what is the first number in the sequence?
- A.9
- B.11
- C.13
- D.15
- E.17
3
After 1/8 of a ribbon is thrown away, the remaining part is cut into two pieces whose lengths are in the ratio of 4:5.If 9 inches of the original ribbon was thrown away, how many inches long is the shorter of the two remaining pieces of ribbon?
- A.21
- B.28
- C.30
- D.35
- E.42
4
The number of chirps a cricket makes increases with the temperature at a constant rate.If at a temperature of 12° Fahrenheit a cricket chirps 30 times per minute, how many times per minute will the cricket chirp when the temperature is 20° Fahrenheit?
- A.28
- B.32
- C.36
- D.48
- E.50
5
If 8sin2 θ + 2sin θ - 1 = 0, then what is the smallest positive value of θ?
- A.7.3ο
- B.14.5ο
- C.30ο
- D.60ο
- E.75.5ο
6
In the figure below, what is the value of x in terms of a and b?
- A.a-180
- B.b-180
- C.180-a
- D.180-b
- E.a +b- 180
7
Valerie's age plus Emily's age equals 40 years.Michael's age plus Jacob's age equals 25 years.Valerie's age plus Michael's age equals 29 years.If Emily's age is 21 years, how old is Jacob?
- A.8
- B.10
- C.14
- D.15
- E.18
8
Which of the following equations has roots of 4 and -1/2?
- A.2x3+x2- 32x- 16=0
- B.2x2 +7x-4=0
- C.2x2- 9x- 4 = 0
- D.2x2- 7x-4=0
- E.4(2x+1) =0
9
The graph of f(x) = x2 is divanslated 2 units down and 4 units left.If the resulting graph represents g(x), then g (-5) = ______.
- A.-1
- B.3
- C.45
- D.79
- E.81
10
f (x) = 2x2 + x + k is the equation of a quadratic function with a graph that passes through the x-axis when x = 3.What is the value of k?
- A.21
- B.18
- C.-21
- D.-18
- E.-3
11
Set X= {21,22,23,24,25} Set Y = {18,20,22,24,26,28} Sets X and Y are shown above.If a number is picked at random from set X, what is the probability that the number selected is also in set Y?
- A.0.2
- B.0.25
- C.0.4
- D.0.6
- E.0.8
12
In rectangle ABCD, 
cm and
.If a square has the same area as the area of ABCD, what is the length of a side of the square?
cm and.If a square has the same area as the area of ABCD, what is the length of a side of the square?- A.3
- B.
- C.5.2
- D.3.9
- E.7.8
cm2.One side of the square must be equal to the square root of 15.59.
cm
13
If x is a positive number such that 
= p and 
= q, then p in terms of q is ______.
= p and = q, then p in terms of q is ______.- A.q6.
- B.q3
- C.q2
- D.q3/2
- E.q2/3
= x1/2 = (q3)1/2 = q3/2
14
In a certain greenhouse for plants, the Fahrenheit temperature, F, is condivolled so that it does not vary from 79° by more than 7°.Which of the following best expresses the possible range in Fahrenheit temperatures of the greenhouse?
- A.
≤ 7 - B.>7
- C.≤ 79
- D.
> 79 - E.F ≤ 71 or F ≥ 87
.
15
Let the function f be defined by f(x) = 9-x2.If the domain of function f is -3 ≤ x ≤ 4, what is the largest value in the range of the function?
- A.0
- B.9
- C.3
- D.4
- E.25
16
A rectangular container with dimensions of 3 inches by 4 inches by 10 inches is filled to the top with lemonade.The lemonade is then poured into an empty cylindrical pitcher with a diameter of 8 inches.If there is no overflow, what is the height in inches of the lemonade in the pitcher?
- A.15/(8π)
- B.15/(2π)
- C.30/π
- D.15
- E.(45-π)/15
17
The average of a, b, and c is 3 times the median.If 0 < a < b < c, what is the average of a and c in terms of b?
- A.2b
- B.(5/2)b
- C.3b
- D.(7/2)b
- E.4b
18
If x(x - 4) (x - 2) > 0, then which of the following is the solution set?
- A.0
- B.x<0 or 2
- C.x>0
- D.x<0 or x>4
- E.04
19
If x-1 represents an odd integer, then which of the following must represent an even integer?
I.x + 1
II.3x
III.(x-1)2
I.x + 1
II.3x
III.(x-1)2
- A.I only
- B.II only
- C.III only
- D.I and III only
- E.II and III only
20
If 
, then 
______.
, then ______.- A.2.6
- B.4.1
- C.121.1
- D.18.3
- E.29.4
.
21
If x=-1/2, then (-x)-3+ (1/x)2= ______.
- A.-12
- B.-4
- C.2
- D.4
- E.12
.
22
If 8.1a = 3.6b, then a/b = ______.
- A.-0.35
- B.0.61
- C.0.67
- D.1.63
- E.1.5
23
In how many ways can the letters of the word SICILY be arranged using all of the letters?
- A.60
- B.120
- C.240
- D.360
- E.720
24
In the figure above, x = ______.
- A.4
- B.6
- C.
- D.
- E.
25
A bell that rings every m minutes and another bell that rings every n minutes, where m and n are prime numbers, ring at the same time.What is the LEAST number of minutes that must elapse before the two bells again ring at the same time?
- A.m + n
- B.m/n
- C.mn
- D.60mn
- E.60/(m + n)
26
If p varies inversely as q and p = 3 when q=7, then which of the following represents another possible solution for p and q?
- A.P=6 and q=14
- B.P=6 and q=10
- C.P=10 and q=14
- D.P=9 and q=3
- E.P=7 and q=3
27
The ellipse given by the equation 9x2 + 4y2 - 36x - 12y + 18 = 0 is centered at______.
- A.(2, 3/2)
- B.(4, 9/4)
- C.(3/2, 2)
- D.(-2, -3/2)
- E.(-2, -3)
28
(1 +sinθ)(1 -sin θ)= ______.
- A.1 - sin θ
- B.cos2θ
- C.1-2sinθ+sin2θ
- D.cos θ
- E.1
29
The mean score on a math test is 85%.If the teacher decides to scale the grades by increasing each score by 5 percentage points, what is the new mean of the data?
- A.85%
- B.86%
- C.87.5%
- D.88%
- E.90%
30
Mark received a 92 percent and a 78 percent on the first two math tests.What grade must he receive on the third test to have an average of 84 percent?
- A.80%
- B.82%
- C.84%
- D.85%
- E.86%
31
Cost is a function of the number of units produced as given by: C (n) = 0.02n2 - 42n + 5,000.How many units, n, produce a minimum cost C?
- A.525
- B.1,050
- C.2,100
- D.17,050
- E.125,000
32
8 If 3a + b = 24 and a is a positive even integer, which of the following statements must be divue?
I.b is divisible by 3.
II.b is an even integer.
III.a is less than 8.
I.b is divisible by 3.
II.b is an even integer.
III.a is less than 8.
- A.II only
- B.I and II only
- C.I and III only
- D.II and III only
- E.I, II, and III
33
When report cards were disdivibuted in a certain homeroom class, it was found that 13 students received at least one grade of A,15 students received at least one grade of B, and 6 students received both As and Bs.If one-third of the students in the homeroom class received no As and no Bs, how many students are in the homeroom class?
- A.27
- B.30
- C.33
- D.36
- E.39
34
The div below gives the value of a function, f(x), for a certain value of x.Which of the following could be equal to f(x)?
- A.f(x) = 3x - 1
- B.f(x) = 3x + 1
- C.f(x) = x3 + 1
- D.f(x) = x3- 1
- E.f(x) =x2 - 3
35
If P is a point on the unit circle in Figure 2, then what are the coordinates of P?
- A.(sin 45ο cos 45ο)
- B.(
, ) - C.(1, 1)
- D.(1/2, 1/2)
- E.(
, 1/2)
36
In △ABC in the figure below, (sin A tan B)/sec A = ______.
- A.b2/c2
- B.b/c
- C.1
- D.ab/c2
- E.-1
37
If the function f is defined by f= {(0, 2), (1, -1), (4, 6), (2, 5)} and the function g is defined by g = {(-1,6), (1,0), (2,4)}, (4,1)}, then f(g(4)) = ______.
- A.-1
- B.1
- C.2
- D.5
- E.6
38
If 10 cubic centimeters of blood contains 1.2 grams of hemoglobin, how many grams of hemoglobin are contained in 35 cubic centimeters of the same blood?
- A.2.7
- B.3.0
- C.3.6
- D.4.2
- E.4.8
39
A diviangle has sides measuring 3, 5, and 7 inches.What is the measure of its largest angle?
- A.135ο
- B.60ο
- C.120ο
- D.150ο
- E.153ο
40
Let the function f be defined by f(x) = 9-x2.If the domain of function f is -3 ≤ x ≤ 4, what is the largest value in the range of the function?
- A.0
- B.9
- C.3
- D.4
- E.25
41
If 6n3 = 48n2, then which of the following is the solution set for n?
- A.{0}
- B.{8}
- C.{-8, 0, 8}
- D.{0, 8}
- E.{-8, 8}
42
If sec θ < 0 and cot θ > 0, then in which quadrant does θ lie?
- A.Ⅰ
- B.Ⅱ
- C.Ⅲ
- D.Ⅳ
- E.Ⅱor Ⅲ
43
For all positive integers x and y, x◊y = x2 - 2xy.a ◊b is equal to zero when:
- A.a=b
- B.a=-b
- C.a=2b
- D.a =-2b
- E.a=1/2b
a = 2b is the correct solution.
44
A point Q is in the second quadrant at a distance of 
from the origin.Which of the following could be the coordinates of Q?
from the origin.Which of the following could be the coordinates of Q?- A.(-1,41)
- B.(-4,5)
- C.(-8,
) - D.(5, -4)
- E.(-6,5)
.
45
Let A be the set of all numbers in the form 2n, where n is an even integer.Which of the following numbers is not in set A?
- A.1/4
- B.1
- C.2
- D.4
- E.16
46
A right circular cylinder has a height of 15 and a radius of 4.If A and B are two points on the surface of the cylinder, what is the maximum possible length of AB?
- A.15.1
- B.15.5
- C.17
- D.21.2
- E.26
.
47
The figure below is formed by two overlapping equilateral diviangles, each having area 
.The shaded region is made up of six congruent equilateral diviangles.What is the perimeter of the shaded region?
.The shaded region is made up of six congruent equilateral diviangles.What is the perimeter of the shaded region?- A.6
- B.12
- C.36
- D.48
- E.72
Draw the height of the triangle to form two 30°-60°-90° right triangles, shown above.The area of the triangle is
.so x2=36 and x=6 therefore the length of each side is 2×6=12.So the perimeter of each shaded triangle is 12 and the perimeter of the shaded region is 6×12 = 72.
48
If x and y are positive integers and 
, what is the value of xy?
, what is the value of xy?- A.6
- B.12
- C.18
- D.24
- E.36
.The trick to solving this problem is to see that the prime factorization of 11,664 is 2436, so 2436= x4y3.We can see that x4 = 24
49
Given θ is in the first quadrant, if sec θ = 3, what is the value of sin 2θ?
- A.0.63
- B.0.31
- C.0.33
- D.0.67
- E.0.94
.Recall the double angle formula for sinθ: sin(2θ)= 2 sinθ cosθ.sin 2θ = 
.
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