The width of a rectangular cardboard box is half its length and twice its height. If the box is 12 cm long, what is the volume of the box in cubic centimeters?
(A)72
(B) 216
(C) 252
(D) 1,296
(E) 1,728
The employees of two factories, X and Y, are comparing their respective production records. Factory X has already produced 18,000 units and can produce 120 units per day. Factory Y has produced only 14,500 units but can produce 155 units per day. If d represents the number of days (that is, days during which each factory is producing its maximum number of units), which of the following equations could be solved to determine the number of days until X's total production equals Y's total production?
(A) 18,000 + 120d = 14,500 + 155d(B) 18,000 + 155d = 14,500 + 120d(C) (18,000 + 120)d = (14,500 + 155)d(D) (120 + 155)d = 18,000 - 14,500(E) (120 + 155)d = 18,000 + 14,500
Correct Answer: A
In the circle below, radius 
has a length of 10 meters, and central angle ∠AOB measures 30°. What is the area, in square meters, of shaded sector AOB?
（A）
（B） 
（C） 
（D） 
（E） 
Correct Answer: E
A basketball player has attempted 30 free throws and made 12 of them. Starting now, if he makes every free throw attempted, what is the least number of additional free throws he must attempt to raise his free-throw percentage to at least 55%?
(Note: Free-throw percentage =
× 100.)
（A）5 （B） 10 （C） 16 （D） 17 （E） 29
Correct Answer: B
More ACT Math Exam Questions
- 1To make space for new merchandise, a clothing store offered a 15% discount on all current stock.What is the sale price of a jacket that regularly sells for $42?
- 2As shown in the standard (x,y) coordinate plane below, A (2,4) lies on the circle with center L (10,-2) and radius 10 coordinate units. What are the coordinates of the image of A after the circle is rotated 90° counterclockwise (?) about the center of the circle?
- 3
Which of the following correctly factors the expression 25x4 - 16y8?
- 4
For the first several weeks after hiring a private tutor, Teddy's score on a standardized test increased slowly. As Teddy began to understand the concepts more clearly, though, his standardized test scores improved more rapidly. After several more weeks, Teddy stopped working with his tutor and his scores did not improve any more. Which of the following graphs could represent all of Teddy's standardized test scores as a function of time, in weeks, after he hired a private tutor?
- 5What is a good score on the ACT for a 10th grader?