In ΔPQR, shown, what is the cos R?
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 = ?
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?