Consider all positive integer values a and b such that the product ab = 8. For how many values does there exist a positive integer c that satisfies both 2a = c and cb = 256?
(A) Infinitely many
(B) 6
(C) 4
(D) 2
(E) 0
The cross-sectional view of a tent is shown below. If the tent is 6 feet wide at its base, then which of the following expressions could be used to calculate the height of the tent, in feet?
(F) 
(G) 3 tan 40°
(H) 
(J) 6 tan 40°
(K) 3 tan 80°
Correct Answer: H
Each of the following values could represent a probability EXCEPT:
(A) 0.00004
(B) 0.7
(C) 
(D) 
(E) 
Correct Answer: E
At the company YouGroove, 35 employees work in the sales department and 50 employees work in the operations department. Of these employees, 15 work in both the sales and the operations departments. How many of the 110 employees at YouGroove do NOT work in either the sales or the operations departments?
(F) 10 (G) 15 (H) 20 (J) 35 (K) 40
Correct Answer: K
More ACT Math Exam Questions
- 1
A recent survey of book critics asked 30 critics how many stars out of a possible 5 they gave to a recent novel from a popular author. The 30 critics' responses are summarized by the histogram below.
To the nearest hundredth, what is the average star review for the 30 reviews?
- 2The perimeter of an elliptical billiard table is to be covered with red
velvet. The perimeter of an ellipse is given by the formula
, where l is the length and w
is the width, as shown in the diagram below. If the length is 4 feet
and the width is 3 feet, what is the outside perimeter of the ellipse in
feet?
- 3The stem-and-leaf plot below shows the scores for each golfer in a
recent tournament at the Lehigh Valley Golf Club. There were 13 golfers
participating in the tournament.
(Note: For example, a score of 72 would have a stem value of 7 and a leaf value of 2.) Which of the following is closest to the mean score of all the golfers in the tournament?
- 4
Greg is making a triangular sail for a boat, shaped like a right triangle and shown below.
To determine how much trim to buy for the sail, Greg calculated the sail's perimeter. What is the sail's perimeter, in feet?
- 5
20% of 20 is equal to 50% of what number?