## In ΔPQR, shown, what is the cos R?

(A)

(B)

(C)

(D)

(E)

The lead of a screw is the distance that the screw advances in a straight line when the screw is turned 1 complete turn. If a screw is 2 inches long and has a lead of inch, how many complete turns would get it all the way into a piece of wood?

(A)5 (B)10 (C)15 (D)20 (E)25

**Correct Answer: D**

In the standard (x,y) coordinate system, circle O has its center at (4,-3) and a radius of 12 units. Which of the following is an equation of the circle?

（A）(x - 4)^{2} + (y + 3)^{2} = 12
（B） (x + 4)^{2} + (y + 3)^{2} = 12
（C） (x + 4)^{2} - (y + 3)^{2} = 12
（D） (x - 4)^{2} + (y - 3)^{2} = 144
（E） (x - 4)^{2} + (y + 3)^{2} = 144

**Correct Answer: E**

In the following figure, the regular octagon has a side with a length of 1. What is the area of the shaded region?

(F) (G) (H) (J) (K)

**Correct Answer: H**

### More ACT Math Exam Questions

- 1Television screen sizes are determined by the diagonal length of the rectangular screen. Chad recently changed from watching a television with a 19-inch screen to a television with a similarly shaped 32-inch screen. If a car on the 19-inch screen appeared 12 inches long, how long, to the nearest inch, would the same car appear on the 32-inch screen?
- 2If sin then cos θ = ?
- 3
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? - 4In the figure below, triangles PQR, PSQ, and QSR are right triangles. If the measure of angle P is 55°, what is the measure of angle R?
- 5In a game, 100 marbles numbered 0-99 are placed into a box. A player draws 1 marble at random from the box. Without replacing the first marble, the player draws a second marble at random. If both marbles drawn have the same tens digit (that is, both are numbered 0-9 or 10-19 or 20-29, etc.), the player is a winner. If the first marble drawn is numbered 56, what is the probability that Terry will be a winner on the next draw?