The point (24,3) on a standard (x,y) coordinate plane is halfway between points (z,2z + 1) and (15z,z - 4). What is the value of z?
(F) 1
(G) 1.5
(H) 3
(J) 7
(K) 24
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
A rectangular piece of cloth has a length of 6 feet and a width of 1.5 feet. Brad estimates that the area is 12 square feet. His estimate is approximately what percent greater than the actual area?
(F) 75% (G) 66% (H) 33% (J) 25% (K) 17%
Correct Answer: H
How the ACT is graded?
The ACT has four subject areas on the exam. Each subject area is scored on a scaled score between 1 and 36. Those scores are then calculated into a composition score which also ranges from 1 to 36.
More ACT Math Exam Questions
- 1
In the standard (x,y) coordinate plane, what is the area of the circle (x - 3)2 + (y + 2)2 = 25?
- 2
Wade is making a tile mosaic. He begins the project by laying tile at a speed of 50 pieces per hour for 3.5 hours. He is then interrupted from his work for 60 minutes. He resumes working and lays tile at a speed of 35 pieces per hour, until he has laid 280 pieces of tile total. How many hours did Wade spend working on the mosaic after he was interrupted?
- 3Melissa attaches her dog's leash to a metal anchor in the grass so that
the dog can roam only within a radius of 12 feet in any direction from
the anchor. A map of the area accessible to the dog is shown below in
the standard (x,y) coordinate plane, with the anchor at the origin and 1 coordinate unit representing 1 foot.
Which of the following is an equation of the circle shown on the map? - 4
What is the value of x when
+ 7 = 6? - 5
If
, then n =