A 24-hour day is how many times as long as 60 seconds?
(A) 12
(B) 30
(C) 365
(D) 720
(E) 1,440
During their daily training race, Carl has to stop to tie his shoes. Melissa, whose shoes are velcro, continues to run and gets 20 feet ahead of Carl. Melissa is running at a constant rate of 8 feet per second, and Carl starts running at a constant rate of 9.2 feet per second to catch up to Melissa. Which of the following equations, when solved for s, gives the number of seconds Carl will take to catch up to Melissa?
(F) 8s + 20 = 9.2s (G) 8s - 20 = 9.2s (H) (J) 8s = 20 (K) 9.2s = 20
Correct Answer: F
Isosceles triangle T1 has a base of 12 meters and a height of 20 meters. The vertices of a second triangle T2 are the midpoints of the sides of T1. The vertices of a third triangle, T3, are the midpoints of the sides of T2. Assume the process continues indefinitely, with the vertices of Tk+1 being the midpoints of the sides of Tk for every positive integer k. What is the sum of the areas, in square meters, of T1, T2, T3, …?
(F) 30 (G) 40 (H) 120 (J) 144 (K) 160
Correct Answer: K
In the standard coordinate plane, what is the distance between the points (5, 7) and (13, 11)?
(A)80 (B) 12 (C) (D) 8 (E)
Correct Answer: C
More ACT Math Exam Questions
- 1If m, located at (-1, 2), is the midpoint of , and the coordinates of a are (2, 9), what are the coordinates of b?
- 2In the following figure, the area of the shaded region is 10% of the area of the circle. If the radius of the circle is 10, what is the arc length from Pto Q?
- 3A surveyor took and recorded the measurements shown in the figure below. If the surveyor wants to use these 3 measurements to calculate the length of the pond, which of the following would he find to be the most useful?
- 4
The measure of the sum of the interior angles of a regular n-sided polygon is (n - 2)180°. A regular octagon is shown below. What is the measure of the designated angle?
- 5In RST below, S is a right angle, = 7 units, and = 2 units. What does csc T equal?