In the following figure, 
is a chord of the circle centered at O,with 
. If KL= 12 and MO= 6, what is the area of the circle?
(A) 36π
(B) 48π
(C) 72π
(D) 96π
(E) 144π
A rectangular solid consisting of 18 smaller cubes that are identical is positioned in the standard (x,y,z) coordinate system, as shown below. Vertex M has coordinates of (-1,3,0) and point O on the y-axis has coordinates of (0,3,0). What are the coordinates of vertex N?
(F) (3,0, 2) (G) (2,2, 0) (H) (3,0,-1) (J) (0,2, 2) (K) (2,0, 2)
Correct Answer: K
In cubic meters, what is the volume of a large cube whose edges each measure 6 meters in length?
(F) 18 (G) 36 (H) 64 (J) 108 (K) 216
Correct Answer: K
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
More ACT Math Exam Questions
- 1
Which trigonometric function (where defined) is equivalent to
? - 2
Jasper wants to measure the altitude of his kite. He ties the kite string to a spike driven into the ground and measures the angle between the string and the ground. Then, he creates 2 similar triangles by adjusting the distance between an 8 foot pole and the spike until the angle created by a piece of string tied to the top of the pole and to the spike with the ground is the same as the angle he measured previously. The length of the string to the kite is 85 feet and the length of the string to the pole is 17 feet. Which of the following is closest to the height, in feet, that the kite is above the ground?
- 3To 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?
- 4
If 0° ≤ x° ≤ 180° and 4cos2x = 1, then x= ?
- 5A carpet company uses the following formula for estimating the number of square feet, a, of carpeting needed for a room x feet by y feet, containing a stairway w feet by z feet, with n stairs: a = xy + w[z(2n - 1) + 2n] What is the company's estimate for the number of square feet of carpeting needed for a room that is 15 feet by 18 feet, containing a stairway that is 6 feet by 6 feet with 8 stairs?