In the figure shown below, points A, B, C, and D are collinear, and distances marked are in feet. Rectangle ADEG has an area of 48 square feet. What is the area, in square feet, of the trapezoid BCEF?
(A)16
(B) 20
(C) 26
(D) 36
(E) 58
Quadrilateral FGHJ is shown below in the standard (x,y) coordinate plane. For this quadrilateral, 
= 10, 
= 6, 
= 
, and 
= 12.
The circle below has an area of 64π cm2. A central angle with measure 24° intercepts minor arc 
. What is the length of minor arc , in centimeters?
(F) 
π
(G) 
π
(H) 
(J) 
π
(K) 192π
Correct Answer: H
A boat departs Port Isabelle, Texas, traveling to an oil rig. The oil rig is located 9 miles east and 12 miles north of the boat’s departure point. About how many miles is the oil rig from the departure point?
(A)3
(B)
(C)15
(D)21
(E)225
Correct Answer: C
In the standard (x,y) coordinate plane, line segment 
has end points C(-3,5) and D(11,-7). What is the midpoint of ?
（A）(14,-12) （B） (8, 2) （C） (7, 1) （D） (7, -6) （E） (4, -1)
Correct Answer: E
More ACT Math Exam Questions
- 1
Jacob works as a lifeguard at a local pool. At the beginning of a 12-hour overnight shift, the pool was full, and Jacob began draining it. After 2 hours, the pool was completely empty. He spent 3 hours cleaning the pool and then began filling it up again. The pool finished filling just as his shift ended. Which of the following graphs accurately describes the amount of water in the pool throughout Jacob’s shift?
- 2
If f(x) = x2+ 9 and g(x) = 24 + 4x,what is the value of
? - 3If 6x + 3 = 12 + 3x, then x =?
- 4Given that a = (3, 2) and b = (15, 8) in the standard (x, y) coordinate plane, what is the distance from a to b?
- 5
The volume of a right circular cone with the bottom removed to create a flat base can be calculated from the following equation: V =
πh(R2 + r2 + Rr), where h represents the height of the shape and R and r represent its radii as shown in the figure below:
This formula can be used to determine the capacity of a large coffee mug. Approximately how many cubic inches of liquid can the cup shown below hold if it is filled to the brim and its handle holds no liquid?
