Danielle's living room is a rectangle with the dimensions 16 feet by 18 feet. If she partially covers the bare floor with a circular throw rug with a diameter of 12 feet, what is the approximate area of bare floor, in square feet, that remains exposed?
(Note: Assume the rug lies completely flat and does not touch any wall.)
(F) 113
(G) 144
(H) 175
(J) 288
(K) Cannot be determined without knowing the exact position of the rug
The minutes and seconds on a 60-minute digital timer are represented by 3 or 4 digits. What is the largest product that can be obtained by multiplying the digits in one of these representations?
(Note: When the timer displays 16:15, the product of the digits is (1)(6)(1)(5) = 30.)
(F) 90
(G) 2,025
(H) 3,481
(J) 3,600
(K) 6,561
Correct Answer: G
In the circle below, O is the center and measures 5 inches from chord . The area of the circle is 169π square inches. What is the length of , in inches?
(A)12 (B) 13 (C) 18 (D) 24 (E) 26
Correct Answer: D
Which of the following inequalities represents the graph shown below on the real number line?
(A) 0 < x < 5 (B) 0 < x ≤ 4 (C) -2 < x ≤ 4 (D) 1 < x ≤ 4 (E) 0 < x ≤ 4
Correct Answer: B
More ACT Math Exam Questions
- 1
What is the y-intercept of the line given by the equation 7x – 3y = 21?
- 2If 3x+ 5y= 4, which of the following is equivalent to the expression (6x+ 10y)(100x+ 100y)?
- 3
Wade is making a tile mosaic. He begins the project by laying tile at a speed of 50 pieces per hour for 3.5 hours. He is then interrupted from his work for 60 minutes. He resumes working and lays tile at a speed of 35 pieces per hour, until he has laid 280 pieces of tile total. How many hours did Wade spend working on the mosaic after he was interrupted?
- 4In a complex plane, the vertical axis is the imaginary axis and the horizontal axis is the real axis. Within the complex plane, a complex number a + bi is comparable to the point (a, b) in the standard (x, y) coordinate plane. is the modulus of the complex point a + bi. Which of the complex numbers F, G, H, J, and K below has the smallest modulus?
- 5
The following figure shows the graph of an equation y= ax2+ bx+ c.Which of the answer choices CANNOT be true