In the following figure, the area of the large square is 81. What is the area of the shaded square?
(F) 45
(G) 
(H) 
(J) 
(K) 
In a complex plane, the vertical axis is the imaginary axis and the horizontal axis is the real axis. Within the complex plane, a complex number a + bi is comparable to the point (a, b) in the standard (x, y) coordinate plane. 
is the modulus of the complex point a + bi. Which of the complex numbers F, G, H, J, and K below has the smallest modulus?
（A）F （B） G （C） H （D） J （E） K
Correct Answer: B
A right triangle has sides measuring 12 inches, 35 inches, and 37 inches. What is the cosine of the angle that lies opposite the 35-inch side?
(F) 
(G) 
(H) 
(J) 
(K) 
Correct Answer: J
Aru watches a movie that is 120 minutes long in 2 sittings. The ratio of the 2 sitting times is 3:5. What is the length, in minutes, of the longer sitting?
（A）8 （B） 15 （C） 45 （D） 60 （E） 75
Correct Answer: E
More ACT Math Exam Questions
- 1Doug, who runs track for his high school, was challenged to a race by his younger brother, Matt. Matt started running first, and Doug didn’t start running until Matt had finished a quarter-mile lap on the school track. Doug passed Matt as they both finished their sixth lap. If both boys ran at a constant speed, with Doug running 2 miles an hour faster than Matt, what was Matt’s speed?
- 2The 7 consecutive integers below add up to 511, x - 2, x - 1, x, x + 1, x + 2, x + 3, and x + 4. What is the value of x?
- 3For all
is equivalent to: - 4
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?
- 5What value must be added to 9x2 - 30x in order to complete the square (that is, make it a perfect square trinomial)?