A circular running track is being built in a fenced-in athletic field 100 feet wide and 150 feet long. If a border of 10 feet is needed between the outside edge of the track and the fence, what is the radius of the largest track that can be built?
(F) 40
(G) 45
(H) 65
(J) 90
(K) 110
Al bikes a trail to the top of a hill and back down. He bikes up the hill in m minutes, then returns twice as quickly downhill on the same trail. What is the total time, in hours, that Al spends biking up the hill and back down?
(A) (B) (C) (D) (E) 2m
Correct Answer: B
If the solutions to the equation (x + a)(x + b) = 0 are x = 8 and x = -, then a + b = ?
(A)-13 (B) -12 (C) -6.5 (D) 6.5 (E) 12
Correct Answer: C
Which of the following inequalities specifies precisely the real values of x that are solutions to the inequality -5 < -3x - 7?
(A)x < 4 (B) (C) (D) (E) x > 4
Correct Answer: B
More ACT Math Exam Questions
- 1To make space for new merchandise, a clothing store offered a 15% discount on all current stock.What is the sale price of a jacket that regularly sells for $42?
- 2
(3a + 2b)(a - b2) is equivalent to
- 3
In the following figure, is a chord of the circle centered at O,with . If KL= 12 and MO= 6, what is the area of the circle?
- 4The graph of the trigonometric function f(x) = 2 sin x is represented below. Which of the following is true of this function?
- 5In the figure below, square ABCD has a side length of 6 inches, and squares AEFG and CHIJ each have a side length of 1 inch. What is the area, in square inches, of the shaded pentagon DGFIJ?