Let x, y, and z be distinct positive integers. What is the fourth term of the geometric sequence below?
2xz, 2x2yz, 2x3y2z,…
(F) 2x2yz
(G) 2x4y3z
(H) 2x3yz2
(J) 4x3y2z
(K) 4x4y3z2
What values of x are solutions in the equation x2 + 4x = 12?
（A）8 and 12 （B） 0 and 4 （C） -2 and 6 （D） -4 and 0 （E） -6 and 2
Correct Answer: E
If x and y are integers such that y > 12 and 2x + y = 19, which of the following is the solution set for x?
（A）x ≥ 4 （B） x ≥ 3 （C） x ≤ 4 （D） x ≤ 3 （E） x ≤ 0
Correct Answer: D
In the grid shown below, each small square has a side length of 1 unit. In the shaded region, each vertex lies on a vertex of a small square. What is the area, in square units, of the shaded region?
(A) 35 (B) 25 (C) 24 (D) 19 (E) 13
Correct Answer: D
More ACT Math Exam Questions
- 1Lines p, q, r, and s are shown in the figure below and the set of all angles that are supplementary to
x is {1,3,8,11}. Which of the following is the set of all lines that must be parallel?
- 2
The perimeter of a square is 36 inches. What is the area of the square, in square inches?
- 3
Triangle
ACE, shown in the figure below, is isosceles with base 
. B lies on and D lies on 
. Segments 
and 
bisect 
AEC and CAE respectively. Which one of the following angle congruences is necessarily true?
- 4
The volume of a cone, which is derived by treating it as a pyramid with infinitely many lateral faces, is given by the formula V =
πr2h, where r is the radius of the base and h is the height. If the radius is halved and the height is doubled, what will be the ratio of the new volume to the old volume?
- 5
Gregor works as a political intern and receives a monthly paycheck. He spends 20% of his paycheck on rent and deposits the remainder into a savings account. If his deposit is $3,200, how much does he receive as his monthly pay?