ACT Math Practice Questions: Part C

1. In Mrs. Hartley's foreign language class, students must take both a written exam and an oral exam. In the past, 85% of her students passed the written exam and 70% of those who passed the written exam also passed the oral exam. Based on these figures, about how many students in a random group of 100 students would you expect to pass both exams?

A. 85
B. 78
C. 70
D. 65
E. 60

2. If sin , then which of the following could be tan A?

F.
G.
H. 1
J.
K. 4

3. If x is any number other than 3 and 6, then

A. 18
B. 1
C. 0
D. -1
E. -18

4.

F.
G.
H.
J.
K.

5. Δ ABC is similar to Δ XYZ. AB is 5 inches long, BC is 8 inches long, and AC is 3 inches long. If the longest side of Δ XYZ is 20 inches long, what is the perimeter, in inches, of Δ XYZ ?

A. 16
B. 28
C. 40
D. 64
E. 88

6. Sides , , and of square ABCD are broken up by points W, X, Y, and Z as shown below. If is 6 inches long, what is the area, in square inches, of the shaded region?

F. 36
G. 32
H. 20
J. 16
K. 12

7. In the figure below, AC is the diameter of the circle, B is a point on the circle, AB is congruent to BC, and D is the midpoint of AC. What is the degree measure of angle ABD?

A. 30°
B. 45°
C. 60°
D. 90°
E. Cannot be determined from the given information

8. In the standard (x, y) coordinate plane, what are the coordinates of the midpoint of a line segment with endpoints (-1,3) and (2,5)?

F. (1,8)
G. (3,2)
H.
J.
K.

9. Maria posted a time of 37 minutes and 29 seconds for a 5-mile running course. About how many miles per hour did she average during the run?

A. 12
B. 10
C. 8
D. 7
E. 5

10. For the 2 functions f(x) and g(x), tables of values are shown below. What is the value of g ( f(-1))?

F. -3
G. 0
H. 2
J. 3
K. 8

11. For positive real numbers x, y, and z, which of the following expressions is equivalent to ?

A.
B.
C.
D.
E.

12. The formula for the area of a trapezoid is , where b1 and b2 are the lengths of the two parallel sides and h is the height. Which of the following is an expression for b1?

F.
G.
H.
J. 2(Ah - b2)
K.

13. The line graphed below shows the predicted gasoline use for a certain truck. Which of the following is the closest estimate of this truck's predicted rate of gasoline use, in miles per gallon?

A. 25
B. 20
C. 16
D. 10
E. 8

14. The graph of y = ax2 + bx + c in the standard (x, y) coordinate plane is shown below. When y = 0, which of the following best describes the solution set for x?

F. 2 imaginary solutions
G. 1 double imaginary solution
H. 1 real and 1 imaginary solution
J. 1 double imaginary solution
K. 2 real solutions

15. If |x| = x + 12, then x = ?

A. -12
B. -6
C. 0
D. 6
E. 12