The following figure shows a regular octagon inscribed in a circle. The arc length from Ato Bis 6π. What is the area of the shaded region of the circle?
(F) 8π
(G) 16π
(H) 24π
(J) 36π
(K) 64π
If the height of an equilateral triangle is 9, what is its area?
(F) 27(G) 54(H) 81(J) 
(K) 
Correct Answer: J
The expression 23fg - 6f(5f +3g) is equivalent to:
(F) 5fg - 30f2 (G) 25fg (H) 3g - 7fg (J) 41fg - 30f2 (K) 30f2 - 5fg
Correct Answer: F
In the figure below, M is on 
and O is on 
. 
and 
are parallel. The dimensions given are in feet. What is the length, in feet, of 
?
（A）39 （B） 91 （C） 105 （D） 273 （E） 294
Correct Answer: B
More ACT Math Exam Questions
- 1In
XYZ, shown below, 
= 30. Which of the following represents the length of 
?
(Note: For a triangle with sides of lengths x, y, and z, and respective opposite angles measuring X, Y, and Z, it will be true that:
, according to the law of sines.) - 2
In the following figure, line aand line b are parallel and pass through the points shown. What is the equation for line b?
- 3On a level field, a telephone pole 24 feet tall casts a shadow 6 feet long, and at the same time of day, another nearby telephone pole casts a shadow 18 feet long. How many feet tall is the second telephone pole?
- 4In the figure below, where
ABC ~ XYZ, lengths are given in inches and the perimeter of ABC is 576 inches. What is the length, in inches, of 
?
(Note: The symbol ~ means "is similar to.")
- 5
What is the length, in coordinate units, of a diagonal of a square in the standard (x,y) coordinate plane with vertices at points (0,0), (4,0) and (4,4)?