ACT math practice test 51

1. A rectangle is four times as long as it is wide. If the width of the rectangle is 4.5 cm, what is the rectangle's area, in square centimeters?

A. 17
B. 18
C. 45
D. 72
E. 81

2. A bubble gum machine has 120 red, blue, yellow, and green gumballs in it. If 30 are yellow, 32 are red, and 28 are green, what is the probability that the next gumball out of the machine is NOT blue?

F. img
G. img
H. 25%
J. 1:4
K. 2:1

3. Which of the following is equivalent to 4 × 10-5?

A. -2,000,000
B. -400,000
C. 0.00002
D. 0.00004
E. 0.000004

4. If a 25-foot ladder leans against a building and the base of the ladder is 15 feet from the bottom of the building, at what height does the top of the ladder touch the building?

F. 10 ft.
G. 18 ft.
H. 20 ft.
J. 30 ft.
K. 40 ft.

5. Which of the following is equivalent to image?

A. img
B. img
C. img
D. img
E. img

6. What is the perimeter of a square with an area of 49?

F. 7
G. 14
H. 20
J. 28
K. 49

7. What is the slope of the line 4y = -2x + 4?

A. -2
B. img
C. 1
D. 2
E. 4

8. What is the slope of any line perpendicular to the line 5x - 4y = -12 in the standard (x, y) coordinate plane?

F. -4
G. img
H. img
J. img
K. img

9. Given imgXYZ with the angle measures shown below, and that point P lies on image, what is m imageXYZ?

img

A. 25°
B. 65°
C. 75°
D. 85°
E. 140°

10. What is the area of a circle with a radius of 6?

F. 8π
G. 12π
H. 16π
J. 32π
K. 36π

11. Bette's 2 pieces of bacon and 1 egg cost $2.10. Jed's 3 pieces of bacon and 2 eggs cost $3.45. How much does 1 egg cost?

A. 45 cents
B. 50 cents
C. 60 cents
D. 70 cents
E. 75 cents

12. M, N, and x are all integers greater than 1. Given that img, what must x equal?

F. 11
G. 12
H. 132
J. 216
K. 2,592

13. If imagey is the vertex of isosceles imgXYZ (shown below), what is the value of a?

img

A. 16°
B. 17°
C. 34°
D. 36°
E. 39°

14. A function f is defined by f(x) = -3x2 + 4x. What is the value of f(4)?

F. -40
G. -32
H. 32
J. 52
K. 136

15. In the figure below, image intersects image at point R, m imageTRS = 25°, and imageQRT is a right angle. What is the measure of imageMRP?

img

A. 75°
B. 90°
C. 105°
D. 115°
E. 165°