ACT Math Practice Test 25
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The volume, V, of a sphere is determined by the formula V = , where r is the radius of the sphere. What is the volume, in cubic inches, of a sphere with a diameter 12 inches long?
48π
72π
288π
864π
2304π
The number 0.002 is 100 times as large as which of the following numbers?
0.000002
0.00002
0.0002
0.02
0.2
An overlay of an accessibility ramp of a building is placed on the standard (x, y) coordinate plane so that the x-axis aligns with the horizontal. The line segment representing the side view of the ramp goes through the points (−2,−1) and (16,2). What is the slope of the accessibility ramp?
−3
−1⁄3
−1⁄6
1⁄6
In a 3-dimensional (x, y,z) space, the set of all points 5 units from the x-axis is:
a line.
2 parallel lines.
a circle.
a sphere.
a cylinder.
Due to inflation, a refrigerator that formerly sold for $450 now sells for 7% more. Which of the following calculations gives the current cost, in dollars, of the refrigerator?
450 + 7
450 + 450(0.07)
450 + 450(0.7)
450 + 450(7)
450(0.07)
Which of the following is an equivalent form of x + x(x + x + x)?
5x
x2 + 3x
3x2 + x
5x2
x3 + x
What is the value of b in the solution to the system of equations below?
3a − b = 18
a + 3b = −4
−10
−3
3
6
cannot be determined with the given information
If n = 10, then which of the following represents 552?
5n + 2
5n2 + 2
5n2 + 5n + 2
5n3 + 5n + 2
5n4 + 5n + 2
If 0 < pr < 1, then which of the following CANNOT be true?
p < 0 and r < 0
p < −1 and r < 0
p < −1 and r < −1
p < 1 and r < 1
p < 1 and r > 0
Which of the following is NOT a solution of (x − 5)(x − 3)(x + 3)(x + 9) = 0?
5
3
−3
−5
−9
The polygon below was once a rectangle with sides 10 and 14 before a triangle was cut off. What is the perimeter, in inches, of this polygon?
54
48
46
41
36
For a ≠ 0, is equivalent to:
1
3
a3
a4
a6
If x2 − y2 = 49 and x − y = 7, then x =?
14
7
4
−4
−7
Each of the 3 lines crosses the other 2 lines as shown below. Which of the following relationships, involving angle measures (in degrees) must be true?
I. m∠2 + m∠7 + m∠12 = 180°
II. m∠4 + m∠5 + m∠10 = 180°
III. m∠3 + m∠8 + m∠11 = 180°
I only
II only
III only
I and II only
I, II, and III
How many different positive 3-digit integers can be formed if the three digits 3, 4, and 5 must be used in each of the integers?
6
7
8
9
12
How many ordered pairs (x, y) of real numbers will satisfy the equation 5x − 7y = 13?
0
1
2
3
Infinitely many
In the figure below, what is the sum of p and q?
75°
150°
180°
285°
360°
If + 5 = 9, then x = ?
−4
2
4
8
16
One traffic light flashes every 6 seconds. Another traffic light flashes every 9 seconds. If they flash together and you begin counting seconds, how many seconds after they flash together will they next flash together?
6
9
18
36
54
Which of the following is equal to ?
−1⁄7
1⁄7
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