ACT Math Practice Test 31
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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What is the y-coordinate of the point in the standard (x,y) coordinate plane at which the 2 lines y = 3x + 4 and y = 2x + 6 intersect?
1
2
4
6
10
What is the least common multiple of 3, 4a, 5b, and 6ab?
15ab
60ab
60a2b
120ab
120a2b
A chord 32 centimeters long is 6 centimeters from the center of a circle, as shown below. What is the radius of the circle, to the nearest tenth of a centimeter?
5.3
13.9
17.1
26.0
38.0
What is the slope-intercept form of 10x − y − 8 = 0?
y = −2x
y = −10x − 8
y = −10x + 8
y = 10x − 8
y = 10x + 8
The temperature, t, in degrees Fahrenheit, in a certain city on a certain spring day satisfies the inequality |t − 34| ≤ 40. Which of the following temperatures, in degrees Fahrenheit, is NOT in this range?
74
16
0
−6
−8
If 5 times a number x is subtracted from 15, the result is negative. Which of the following gives the possible value(s) for x?
All x < 3
All x > 3
10 only
3 only
0 only
Quadrilateral QRST is shown below in the standard (x,y) coordinate plane. For this quadrilateral, QT = 5, RS = , ST = 3, and RQ = 6, all in coordinate units.
Which of the following is closest to the perimeter of quadrilateral QRST, in coordinate units?
26.0
22.5
19.8
15.0
14.0
Quadrilateral QRST is shown below in the standard (x,y) coordinate plane. For this quadrilateral, QT = 5, RS = , ST = 3, and RQ = 6, all in coordinate units.
Which of the following are the coordinates of the image of R under a 90◦ counterclockwise rotation about the origin?
(5,−1)
(1,5)
(1,−5)
(−1,−5)
(−5,−1)
Quadrilateral QRST is shown below in the standard (x,y) coordinate plane. For this quadrilateral, QT = 5, RS = , ST = 3, and RQ = 6, all in coordinate units.
What is the length of QS in coordinate units?
√8
8
4
In the right triangle shown below, which of the following statements is true about ∠X?
cos X =
sin X =
tan X =
cos X =
sin X =
What is the largest integer value of t that satisfies the inequality > ?
30
19
18
10
8
A circle in the standard (x, y) coordinate plane has center (12,−5) and radius 4 coordinate units. Which of the following is an equation of the circle?
(x − 12)2 + (y − 5)2 = 4
(x − 12)2 − (y + 5)2 = 4
(x − 12)2 − (y − 5)2 = 8
(x − 12)2 + (y − 5)2 = 16
(x − 12)2 + (y + 5)2 = 16
The hypotenuse of right triangle ABC shown below is 16 inches long. The sine of angle A is . About how many inches long is ?
8.0
9.6
12.4
14.3
15.6
The costs of carriage rides of different lengths, given in half miles, are shown in the table below:
Each cost consists of a fixed charge and a charge per half mile. What is the fixed charge?
$0.50
$1.00
$5.50
$5.00
$1.50
If a and b are positive integers such that the greatest common factor of a2b2 and ab3 is 45, then which of the following could b equal?
3
5
9
15
45
The ratio of the side lengths for a triangle is exactly 15:14:12. In a second triangle similar to the first, the longest side is 10 inches long. To the nearest tenth of an inch, what is the length of the shortest side of the second triangle?
6.4
8.0
9.3
12.0
Cannot be determined from the given information
When x/y = 4, x2 − 12y2 =?
0
4y2
−4y2
−8y2
4y
The larger of two numbers exceeds twice the smaller number by 9. The sum of twice the larger and 5 times the smaller number is 74. If a is the smaller number, which equation below determines the correct value of a?
5(2a + 9) + 2a = 74
5(2a − 9) + 2a = 74
(4a + 9) + 5a = 74
2(2a + 9) + 5a = 74
2(2a − 9) + 5a = 74
If n = m + 2, then (m − n)4 =?
16
8
1
−8
−16
For x2 ≠ 169, =?