Pierre competes in a triathlon, along a course as shown in the figure below. He begins swimming at starting point S and swims straight across the lake, gets on his bicycle at station A, bikes to station B, and then runs to finishing line F. The judges use a stopwatch to record his elapsed times of tA, tB, and tF hours from point S to points A, B, and F, respectively. If the distance, in miles, between points S and A along the racecourse is denoted by SA, then what is Pierre's average speed for this race, in miles per hour?
(F) 
(G) 
(H) 
(J) 
(K) 
The solution set of 5x + 9 ≥ 2(3x + 4) + 7 is shown by which of the following number line graphs?
(A) 
(B) 
(C) 
(D) 
(E) 
Correct Answer: A
Phil earned $800 at his summer job and saved all of his earnings. He
wants to buy a deluxe drum kit that is regularly priced at $925 but is
on sale for 
off. The drum kit is subject to 5% sales tax after all discounts are
applied. If Phil buys the kit on sale and gives the sales clerk his
entire summer earnings, how much change should he receive?
(F) $23 (G) $37 (H) $40 (J) $77 (K) None; Phil still owes $171.25.
Correct Answer: F
Pippin the guinea pig is running on her wheel when, due to a manufacturing error, the wheel breaks free of its axis. Pippin remains in her wheel, running in a straight line until the wheel has rotated exactly 15 times. If the diameter of the wheel is 10 inches, how many inches has the wheel rolled?
(F) 75 (G) 150 (H) 75π (J) 150π (K) 1,500π
Correct Answer: J
More ACT Math Exam Questions
- 1For all values of θ over which sin θ and cos θ are nonzero,
- 2A rectangular lot that measures 150 ft by 200 ft is completely fenced. What is the approximate length, in feet, of the fence?
- 3
The expression x2 + 2x - 15 can be written as the product of 2 binomials with integer coefficients. One of the binomials is (x + 5). Which of the following is the other binomial?
- 4
If pq+ 12 = 3p+ pr,and q– r= 7, what is the value of p?
- 5
A circle is inscribed in a square, as shown below. If x is the distance from the center of the circle to a vertex of the square, then what is the length of the radius of the circle, in terms of x?
