ACT Math Practice Test 7
Đề thi nằm trong 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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Points B and C lie on segment AD as shown below. The length of segment AD is 25 units; the segment AC is 19 units long; and the segment BD is 14 units long. How many units long, if it can be determined, is the segment BC?
5
6
8
11
Cannot be determined from the given information.
The table below shows the number of pounds of apples grown last year in 4 cities. (Each whole apple on the graph represents 1,000 pounds of apples.) According to the graph, what fraction of the apples grown in all 4 cities were grown in Appleton?
5⁄24
1⁄4
1⁄6
5⁄19
3⁄16
The hypotenuse of the right triangle LMN shown below is 22 feet long. The cosine of angle L is 2⁄3. How many feet long is the segment LM?
18.4
16.5
11.0
6.7
4.7
After a snowstorm, city workers removed an estimated 12,000 cubic meters of snow from the downtown area. If this snow were spread in an even layer over an empty lot with dimensions 62 meters by 85 meters, about how many meters deep would the layer of snow be?
Less than 1
Between 1 and 2
Between 2 and 3
Between 3 and 4
More than 4
The length L, in meters, of a spring is given by the equation L = (2⁄3)F+0.05, where F is the applied force in newtons. Approximately what force, in newtons, must be applied for the spring’s length to be 0.23 meters?
0.12
0.18
0.20
0.24
0.27
A chord 8 inches long is 3 inches from the center of a circle, as shown below. What is the radius of the circle, to the nearest tenth of an inch?
4.0
4.3
5.0
6.9
8.5
For the right triangle ABC shown below, what is tan B?
a⁄b
a⁄c
b⁄a
c⁄a
c⁄b
Which of the following is a solution to the equation x2 + 25x = 0?
50
25
5
−5
−25
What is the slope-intercept form of 6x − 2y − 4 = 0?
y = 6x − 2
y = 3x + 2
y = 3x − 2
y = −3x + 2
y = −6x − 4
For all positive integers a, b, and c, which of the following expressions is equivalent to a⁄c?
In the figure below, ABCD is a trapezoid. E lies on line AD, and angle measures are as marked. What is the measure of angle CDB?
25°
30°
55°
80°
100°
The ratio of the side lengths for a triangle is exactly 7:11:13. In a second triangle similar to the first, the shortest side is 9 inches long. To the nearest tenth of an inch, what is the length of the longest side of the second triangle?
14.1
15
16.7
17.3
Cannot be determined from the given information.
A square is circumscribed about a circle of a 5-foot radius, as shown below. What is the area of the square, in square feet?
144
100
25π
50
25
Members of the fire department lean a 26-foot ladder against a building. The side of the building is perpendicular to the level ground so that the base of the ladder is 10 feet away from the base of the building. To the nearest foot, how far up the building does the ladder reach?
12
15
20
22
24
The larger of two numbers exceeds three times the smaller number by 4. The sum of twice the larger number and 4 times the smaller number is 58. If x is the smaller number, which equation below determines the correct value of x?
3(2x + 4) + 4x = 58
3(2x − 4) + 3x = 58
2(3x + 4) + 2x = 58
2(3x + 4) + 4x = 58
2(2x − 4) + 4x = 58
A park has the shape and dimensions, in miles, given below. The park office is located halfway between point A and point D. Which of the following is the location of the park office from point A? (Note: The park’s borders run east–west or north–south.)
3 miles east and 41⁄2 miles north
41⁄2 miles east and 4 miles south
4 miles east and 41⁄2 miles south
6 miles east and 4 miles south
6 miles east and 41⁄3 miles south
If b = a + 3, then (a − b)4 = ?
81
27
−3
−27
−81
Parallelogram ABCD, with dimensions in inches, is shown in the diagram below. What is the area of the parallelogram, in square inches?Parallelogram ABCD, with dimensions in inches, is shown in the diagram below. What is the area of the parallelogram, in square inches?
60
72
180
240
260
For all pairs of real numbers S and T where S = 4T −7, T = ?
s⁄4-7
s⁄4+7
4S + 7
What is the x-coordinate of the point in the standard (x, y) coordinate plane at which the two lines y = −2x + 7 and y = 3x − 3 intersect?
10
5
3
2
1