In the circle below, radius 
has a length of 10 meters, and central angle ∠AOB measures 30°. What is the area, in square meters, of shaded sector AOB?
(A)
(B) 
(C) 
(D) 
(E) 
RST is a right triangle with side lengths of r, s, and t, as shown below. What is the value of cos2 S + cos2 R?
(F) 1
(G) 
(H) 
(J) 
(K) 
Correct Answer: F
In the figure below, the vertices of parallelogram ABCD are A (2,-4), B (8,-4), C (10,-2), and D (4,-2). What is the area of the parallelogram?
（A）6
（B） 6
（C） 12
（D） 12
（E） 16
Correct Answer: C
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
More ACT Math Exam Questions
- 1
All of the following statements about rational and/or irrational numbers must be true EXCEPT:
- 2
For all t > 0, f(t) =
. Which of the following is true about f(t) ? - 3If the lengths of the sides of the triangle below are shown in inches, how many inches long is side
?
- 4
The figure below shows a ramp for skateboarders. The base of the ramp is 25 feet long, and it rises at a 10° angle.
Given the trigonometric calculations in the table below, how high off the ground will a skateboarder be at the top of the ramp, rounded to the nearest 0.1 foot?
- 5
The amplitude of the trigonometric function shown below is defined as the average of the absolute values of the maximum value of f(x) and the minimum value of f(x). The trigonometric function graphed below can be described by the equation f(x) = a sin(bx + c), where a, b, and c are real numbers. Which of the following values describes the amplitude of this function?
