How many different positive integers are factors of both 28 and 42?
(A) 1
(B) 2
(C) 3
(D) 4
(E) More than 4
In the qualifying rounds for a race, Rusty and Dale drive their cars around a 6,000-foot oval track. Rusty and Dale each drive 8 laps in the qualifying rounds in lanes of identical length.
In the qualifying rounds, Rusty averages 180 seconds per lap until he begins the last lap. He then goes into a lower gear. He averages 190 seconds per lap for this qualifying round. How many seconds does Rusty take to drive the final lap?
(F) 155 (G) 160 (H) 185 (J) 200 (K) 260
Correct Answer: K
Given that a = (3, 2) and b = (15, 8) in the standard (x, y) coordinate plane, what is the distance from a to b?
(A)5 (B) 8 (C) 4 (D) 6 (E) 18
Correct Answer: D
When x = 5 and y = 2, the expression
(A)
(B)
(C)
(D)
(E)
Correct Answer: A
More ACT Math Exam Questions
- 1
If A, x, and y are all distinct numbers, and A = , which of the following represents x in terms of A and y?
- 2
MicroCorp will hold its annual company picnic next week and will assign 3 planning duties to its employees. One person selected will reserve a venue, another will arrange catering, and a third will plan activities. There are 10 employees eligible to fulfill these duties, and no employee can be assigned more than one duty. How many different ways are there for duties to be assigned to employees?
- 3
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?
- 4
As shown in the figure below, a skateboard ramp leading from the top of a boulder is 10 feet long and forms a 32° angle with the level ground. Which of the following expressions represents the height, in feet, of the boulder?
- 5The second term of an arithmetic sequence is -2, and the third term is 8. What is the first term?
(Note: An arithmetic sequence has a common difference between consecutive terms.)