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?
(A) 19
(B) 50
(C) 105
(D) 109
(E) 438
Consider the exponential equation y = 
, where K and p are positive real constants and x is a positive real number. The value of y decreases as the value of x increases if and only if which of the following statements about p is true?
(F) 0 < p < 1 (G) 1 < p < 2 (H) p > -1 (J) p > 0 (K) p > 1
Correct Answer: F
If -9(y - 13) = 16, then y = ?
(A) -
(B) -
(C) -
(D) -
(E) 
Correct Answer: E
For all real numbers x and y such that the product of y and 4 is x, which of the following expressions represents the sum of y and 4 in terms of x?
（A）x + 4
（B） 4x + 4
（C） 4(x + 4)
（D） 
（E） 
Correct Answer: E
More ACT Math Exam Questions
- 1
Below is the graph that a specialty automobile manufacturer uses to plot the speed tests done on his new cars. The speed is recorded in units of
and is conducted for a period of 9 seconds. A certain order of 3 of the
following 6 actions describes the results of the speed test depicted in
the graph below. Which order is it?
I. Constant speed for 1 second
II. Constant speed for 3 seconds
III. Speed increase for 4 seconds
IV. Speed increase for 9 seconds
V. Speed decrease for 2 seconds
VI. Speed decrease for 7 seconds
- 2The stem-and-leaf plot below shows the scores for each golfer in a
recent tournament at the Lehigh Valley Golf Club. There were 13 golfers
participating in the tournament.
(Note: For example, a score of 72 would have a stem value of 7 and a leaf value of 2.) Which of the following is closest to the mean score of all the golfers in the tournament?
- 3
Which of the following is a complete factorization of the expression 12b2c + 6bc + 3b?
- 4In the figure below, all line segments intersect at right angles, and
all measurements are given in inches. What is the perimeter of the
figure in inches?
- 5Doug, who runs track for his high school, was challenged to a race by his younger brother, Matt. Matt started running first, and Doug didn’t start running until Matt had finished a quarter-mile lap on the school track. Doug passed Matt as they both finished their sixth lap. If both boys ran at a constant speed, with Doug running 2 miles an hour faster than Matt, what was Matt’s speed?