If pq+ 12 = 3p+ pr,and q– r= 7, what is the value of p?
(A) –3
(B) –4
(C) 
(D) 
(E)
To make a cardboard table for her dollhouse, Ouisie uses a rectangular piece of cardboard measuring 40 inches wide and 60 inches long. She cuts out four equal-sized squares from each corner and folds down the sides at a 90° angle. If the top of the table measures 800 square inches, how tall, in inches, is the table?
（A）40 （B） 30 （C） 25 （D） 20 （E） 10
Correct Answer: E
An artist wants to cover the entire outside of a rectangular box with mosaic tiles. The dimensions of the box shown below are given in centimeters. If each tile is exactly one square centimeter, and the artist lays the tiles with no space between them, how many tiles will he need?
(F) 75 (G) 96 (H) 108 (J) 126 (K) 150
Correct Answer: K
For all x, (3x - 5)(4x + 3) = ?
（A）12x2 - 15 （B） 12x2 + 11x - 15 （C） 12x2 - 11x - 15 （D） 12x2 + 29x - 15 （E） 12x2 - 29x - 15
Correct Answer: C
More ACT Math Exam Questions
- 1
Isosceles triangle T1 has a base of 12 meters and a height of 20 meters. The vertices of a second triangle T2 are the midpoints of the sides of T1. The vertices of a third triangle, T3, are the midpoints of the sides of T2. Assume the process continues indefinitely, with the vertices of Tk+1 being the midpoints of the sides of Tk for every positive integer k. What is the sum of the areas, in square meters, of T1, T2, T3, …?
- 2
In the figure below, M is on
and Q is on 
The measurements are given in feet. Both NPQM and MQRL are trapezoids. The area, A, of a trapezoid is given by A = 
h(b1 + b2), where h is the height and b1 and b2 are the lengths of the 2 parallel sides.9.
What is the area of MQRL, in square feet?
- 3
A ferry boat travels from a dock on the mainland toward an island, stops to discharge and load passengers, then returns to the mainland dock. Among the following graphs, which one best represents the relationship between the distance, in kilometers, of the ferry from the island and the time, in minutes, from when the ferry leaves the mainland dock until it returns?
- 4
A trapezoidal driveway has the dimensions, in yards, given in the figure below. What is the area, in square yards, of the driveway?
- 5Aru watches a movie that is 120 minutes long in 2 sittings. The ratio of the 2 sitting times is 3:5. What is the length, in minutes, of the longer sitting?