ACT Math Practice Test 11
Bộ sưu tập: Tuyển Tập Bộ Đề Thi Đại Học Hoa Kỳ (ACT) - Có Đáp Án Chi Tiết
Số câu hỏi: 20 câuSố mã đề: 1 đềThời gian: 1 giờ
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If 8a6b3 < 0, then which of the following CANNOT be true?
b < 0
b > 0
a = b
a < 0
a > 0
In the parallelogram below, lengths are given in inches. What is the area of the parallelogram, in square inches?
√94
7√47
49
63
16√47
The volume of a cube is given by the formula s3, where s is the length of a side. If a cube has a volume of 64,and the length of each side is halved, the new cube’s volume will be:
3
6
8
16
32
For the area of a square to triple, the new side lengths must be the length of the old sides multiplied by:
√3
3
4
2√3
9
When measured from a point on the ground that is a certain distance from the base of a cell phone tower, the angle of elevation to the top of the tower is 41°, as shown below. The height of the cell phone tower is 200 feet. What is the distance, in feet, to the cell phone tower?
200 tan 41°
200 sin 41°
200 cos 41°
200 sec 41°
200 cot 41°
What is the solution set of |3a − 2| ≤ 7?
{a: a ≤ 3}
{a: −5⁄3 ≤ a ≤ 3}
{a: −5⁄3 ≥ a ≥ 3}
{a: −5⁄3 ≤ a ≥ 3}
{a: −5⁄3 ≥ a ≤ 3}
The value of b that will make b⁄3 +2 = 1⁄4 a true statement lies between which of the following numbers?
−4 and −6
−1 and −3
−1 and 1
1 and 3
3 and 5
Which of the following operations will produce the smallest result when substituted for the blank in the expression:2⁄3 − 3?
In the figure below, tan ϕ = ?
1⁄√2
√2
1
3
3√2
In the standard (x,y) coordinate plane, which of the following lines goes through (3,4) and is parallel to y = 2x + 2?
y = 1⁄2x + 2
y = 2x − 2
y = 2x + 4
y = 2x + 10
y = 3x + 2
Points A, B, and C are three distinct points that lie on the same line. If the length of AB is 19 meters and the length of BC is 13 meters, then what are all the possible lengths, in meters, for AC?
6 only
32 only
6 and 32 only
Any number less than 32 or greater that 6
Any number greater than 32 or less than 6
The first and second terms of a geometric sequence are a and ab, in that order. What is the 643rd term of the sequence?
(ab)642
(ab)643
a642b
a643b
ab642
Given the vertices of parallelogram QRST in the stan dard (x, y) coordinate plane below, what is the area of triangle QRS, in square units?
24
28
48
60
80
Three distinct lines, all contained within a plane, separate that plane into distinct regions. What are all of the possible numbers of distinct regions of the plane that could be separated by any such three lines?
4, 6, 7
4, 5, 6
3, 5, 7
3, 5, 6
3, 4, 5
What is the smallest possible value for the product of 2 integers that differ by 7?
8
0
−6
−10
−12
The measure of the vertex angle of an isosceles triangle is (a + 30)°. The base angles each measure (2a − 15)°. What is the measure in degrees of one of the base angles?
36°
45°
57°
66°
90°
In the standard (x,y) coordinate plane, what is the equation of the line that passes through the origin and the point (3,4)?
y = 1⁄4x + 3⁄4
y = 1⁄4x - 1⁄3
y = 4⁄3x
y = 1⁄2x + 3⁄4
y = 9⁄4x
In a game, 80 marbles numbered 00 through 79 are placed in a box. A player draws 1 marble at random from the box. Without replacing the first marble, the player draws a second marble at random. If both marbles drawn have the same ones digit (that is, both marbles have a number ending in 0, 1, 2, 3, etc.), the player is a winner. If the first marble drawn is numbered 35, what is the probability that the player will be a winner on the next draw?
If a system of 2 linear equations in 2 variables has NO solution, and 1 of the equations is graphed in the (x,y) coordinate plane below, which of the following could be the equation of the other line?
y = −2
y = −1⁄4x + 2
y = −2x − 4
y = 4⁄3x + 2
y = 4x − 4
If log4x = 3, then x = ?
4 log3
12
64
81
1 mã đề 20 câu hỏi
1 mã đề 20 câu hỏi
1 mã đề 20 câu hỏi
1 mã đề 20 câu hỏi
1 mã đề 20 câu hỏi