The 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?
(A)
π 
(B) 
(4 + 3)
(C) 
π
(D) (4π + 3)
(E) 5π
A right triangle, shown below, has a longer leg measuring 16
centimeters. How long is the hypotenuse of the triangle, in centimeters?
(A) 8
(B) 8
(C) 16
(D) 16
(E) 32
Correct Answer: E
The Northampton Volunteer Association has built a rectangular sandbox for a local elementary school and is ready to fill it with sand. The sandbox is 60 inches wide, 72 inches long, and will be filled 18 inches deep. Under the assumption that 1 bag of sand can fill 3,600 cubic inches of the sandbox, what is the minimum number of bags of sand they will need in order to fill the sandbox?
(A) 1 (B) 7 (C) 12 (D) 21 (E) 22
Correct Answer: E
Which of the following values of x does NOT satisfy the inequality |x-3|≥12?
(F) -15 (G) -12 (H) -9 (J) 9 (K) 15
Correct Answer: J
More ACT Math Exam Questions
- 1If 0° < θ < 90° and tan θ =
, what is sin θ + cos θ? - 2
Which of the following is a possible solution for x in terms of k for the equation
? - 3Which of the following is the solution set for x such that 3x - 9 ≥ - 3(9 - x)?
- 4
If
, then n! =? - 5
The employees at Belinda's Paint Store are having a competition to see who can create the most new accounts over a period from January to June in a certain year. Data is missing because one of the employees began to erase it from the white board, thinking that the competition was over. The numbers in the chart below have been confirmed with the assistant manager's personal records.
At the beginning of the year, Maura wanted to average 30 new accounts per month for the first four months of the year. How many new accounts did she need to create in March in order to reach this goal?