If 0° ≤ x° ≤ 180° and 4cos2x = 1, then x= ?
(A) 0°
(B) 60°
(C) 90°
(D) 150°
(E) 180°
Which of the following is equivalent to –8(x– 2) < 3x– 6?
(F) x< 2(G) x> 2(H) x≥–2(J) x< –2(K) x> –2
Correct Answer: G
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?
(A) 3,200 (B) 1,750 (C) 1,600 (D) 600 (E) 500
Correct Answer: C
For what value of x, if any, is the equation (x - 1)2 = (x - 7)2 true?
(F) -4
(G) -1
(H) 0
(J) 4
(K) There is no value of x for which the equation is true.
Correct Answer: J
More ACT Math Exam Questions
- 1
The circle below has an area of 64π cm2. A central angle with measure 24° intercepts minor arc
. What is the length of minor arc , in centimeters?
- 2
The following figure shows the graph of
. Which of the answer choices are the correct amplitude and period of this function?
- 3
A painter needs to reach the top of a tall sign in the middle of a flat and level field. He uses a ladder of length x to reach a point on the sign 15 feet above the ground. The angle formed where the ladder meets the ground is noted in the figure below as θ. Which of the following relationships must be true?
- 4
A heart-shaped ornament is made from a square and two semicircles, each of whose diameter is a side of the square. The ornament is shown in the standard (x,y) coordinate plane below, where 1 coordinate unit represents 1 inch. The coordinates of six points on the border of the ornament are given. What is the perimeter, in inches, of the ornament?
- 5
The product of 2 distinct positive prime numbers is an even number, and one less than the product is a prime number. All of the following prime numbers could be one of the original prime numbers EXCEPT: