Paulette, Quentin, and Rosie each donated money to a charity. Paulette gave as much money as Quentin and Rosie gave together. If Quentin had given three times more than he gave, he would have given $40 more than Paulette. And if Rosie had given $20 less, she would have given half as much as Paulette. How much did Paulette give?
(A) $80
(B) $120
(C) $160
(D) $200
(E) $240
If x = 3, then x2 + 2x - 12 = ?
(A)-3 (B) 0 (C) 3 (D) 6 (E) 21
Correct Answer: C
Television screen sizes are determined by the diagonal length of the rectangular screen. Chad recently changed from watching a television with a 19-inch screen to a television with a similarly shaped 32-inch screen. If a car on the 19-inch screen appeared 12 inches long, how long, to the nearest inch, would the same car appear on the 32-inch screen?
(A)16 (B) 18 (C) 20 (D) 22 (E) 24
Correct Answer: C
(A) (B) (C) (D) (E)
Correct Answer: C
More ACT Math Exam Questions
- 1For all xy ≠ 0, and when both x and y are greater than 1, the expression equals which of the following?
- 2
The volume of a cone, which is derived by treating it as a pyramid with infinitely many lateral faces, is given by the formula V = πr2h, where r is the radius of the base and h is the height. If the radius is halved and the height is doubled, what will be the ratio of the new volume to the old volume?
- 3
A heart-shaped ornament is made from a square and two semicircles, each of whose diameter is a side of the square. The ornament is shown in the standard (x,y) coordinate plane below, where 1 coordinate unit represents 1 inch. The coordinates of six points on the border of the ornament are given. What is the perimeter, in inches, of the ornament?
- 4
What is the value of 4 + 3x – y when x = 3 and y = -1?
- 5A carpet company uses the following formula for estimating the number of square feet, a, of carpeting needed for a room x feet by y feet, containing a stairway w feet by z feet, with n stairs: a = xy + w[z(2n - 1) + 2n] What is the company's estimate for the number of square feet of carpeting needed for a room that is 15 feet by 18 feet, containing a stairway that is 6 feet by 6 feet with 8 stairs?