Whenever a, b, and c are positive real numbers, which of the following expressions is equivalent to 
(A) 
(B) 
(C) 
(D) log4(a - c) - log8 2b
(E) log4(a - c) - log8b2
In the following triangle, what is the value of sec n?
A. 
B. 
C. 
D. 
E. 
(A) (B) (C) (D) (E)
Correct Answer: C
Abandoned mines frequently fill with water. Before an abandoned mine can be reopened, the water must be pumped out. The size of pump required depends on the depth of the mine. If pumping out a mine that is D feet deep requires a pump that pumps a minimum of + 4D – 250 gallons per minute, pumping out a mine that is 150 feet deep would require a pump that pumps a minimum of how many gallons per minute?
(A)362 (B)500 (C)800 (D)1,250 (E)1,750
Correct Answer: D
The figure below is a pentagon (5-sided figure). Suppose a second pentagon were overlaid on this pentagon. At most, the two figures could have how many points of intersection?
(A) 1 (B) 2 (C) 5 (D) 10 (E) Infinitely many
Correct Answer: E
More ACT Math Exam Questions
- 1
In the following figure, each circle is tangent to the other two circles, and the two shaded circles are identical to each other. What is the ratio of the shaded region to the nonshaded region?
- 2
The table below gives the values of f(x) for selected values of x in the function f(x) = (x + 4)2 - 1, where x and y are both real numbers.
MON are shown in the standard (x,y) coordinate plane below. Rectangle MPQR is shown shaded. Point P lies on 
, point Q lies on 
, and point R lies on 
.