Which of the following gives the equation for the circle in the standard (x,y) coordinate plane with a center at (4,-8) and a circumference of 10π square coordinate units?
(A) (x - 4)2 + (y + 8)2 = 25
(B) (x - 4)2 + (y + 8)2 = 100
(C) (x + 8)2 + (y - 4)2 = 25
(D) (x + 8)2 - (y - 4)2 = 100
(E) (x + 8)2 + (y - 4)2 = 100
What is the area of ΔRST in the following figure?
(A) 84(B) 91(C) 96(D) 105(E) 120
Correct Answer: A
For the first several weeks after hiring a private tutor, Teddy's score on a standardized test increased slowly. As Teddy began to understand the concepts more clearly, though, his standardized test scores improved more rapidly. After several more weeks, Teddy stopped working with his tutor and his scores did not improve any more. Which of the following graphs could represent all of Teddy's standardized test scores as a function of time, in weeks, after he hired a private tutor?
(F) (G) (H) (J) (K)
Correct Answer: F
If 15% of nis 300, what is 22% of n?
(F) 400(G) 440(H) 480(J) 525(K) 550
Correct Answer: G
More ACT Math Exam Questions
- 1In the figure below, where ABC ~ XYZ, lengths are given in inches and the perimeter of ABC is 576 inches. What is the length, in inches, of ?
(Note: The symbol ~ means "is similar to.")
- 2
If a+ 2b= 2, what is the value of ?
- 3
When adding fractions, a useful first step is to find the least common denominator (LCD) of the fractions. What is the LCD for these fractions?
- 4
The volume, V, of the right circular cone with radius r and height h, shown below, can be found using the formula V = r 2h. A cone-shaped paper cup has a volume of 142 cubic centimeters and a height of 8.5 centimeters. What is the radius, to the nearest centimeter, of the paper cup?
- 5
If 0° ≤ x° ≤ 180° and 4cos2x = 1, then x= ?