In the figure below, square ABCD has a side length of 6 inches, and squares AEFG and CHIJ each have a side length of 1 inch. What is the area, in square inches, of the shaded pentagon DGFIJ?
(A)9
(B) 12.5
(C) 17
(D) 18
(E) 20.5
The triangle shown below has a hypotenuse with a length of 13 feet. The measure of 
A is 20° and the measure of B is 70°. Which of the following is closest to the length, in feet, of 
?
(Note: sin 70° ≈ 0.9397
cos 70° ≈ 0.3420
tan 70° ≈ 2.747)
(A) 4.4 (B) 5 (C) 12 (D) 12.2 (E) 35.7
Correct Answer: A
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） 
Correct Answer: E
Consider all positive integer values a and b such that the product ab = 8. For how many values does there exist a positive integer c that satisfies both 2a = c and cb = 256?
(A) Infinitely many (B) 6 (C) 4 (D) 2 (E) 0
Correct Answer: C
More ACT Math Exam Questions
- 1
The 12 numbers on a circular clock are equally spaced around the edges of the clock. Belinda chooses an integer, n, that is greater than 1. Beginning at a randomly chosen number, Belinda goes around the circle counterclockwise and paints in every nth number. She continues going around and around the clock, painting in every nth number, until all twelve numbers on the clock are painted. Which of the following could have been Belinda's integer n?
- 2
What is the value of 4 + 3x – y when x = 3 and y = -1?
- 3A size 8 dress that usually sells for $60 is on sale for 30% off. Victoria has a store credit card that entitles her to an additional 10% off the reduced price of any item in the store. Excluding sales tax, what is the price Victoria pays for the dress?
- 4
If the first day of the year is a Monday, what is the 260th day?
- 5
If x = -
and x = 
are the roots of the quadratic equation ax2 + bx + c = 0, then which of the following could represent the two factors of ax2 + bx + c?