A certain watch costs $100, and a certain pearl necklace costs $300. If the cost of the watch increases by 5% and the cost of the pearl necklace decreases by 10%, what will be the sum of their new costs?
(A)$375
(B) $385
(C) $395
(D) $405
(E) $415
Which of the following is closest to the perimeter of quadrilateral FGHJ, in coordinate units?
(A)28 (B) 39.7 (C) 60 (D) 108 (E) 120
Quadrilateral FGHJ is shown below in the standard (x,y) coordinate plane. For this quadrilateral, = 10, = 6, = , and = 12.
Correct Answer: B
To make a cardboard table for her dollhouse, Ouisie uses a rectangular piece of cardboard measuring 40 inches wide and 60 inches long. She cuts out four equal-sized squares from each corner and folds down the sides at a 90° angle. If the top of the table measures 800 square inches, how tall, in inches, is the table?
(A)40 (B) 30 (C) 25 (D) 20 (E) 10
Correct Answer: E
What is the length, in coordinate units, of a diagonal of a square in the standard (x,y) coordinate plane with vertices at points (0,0), (4,0) and (4,4)?
(F) 3 (G) 4 (H) 4 (J) (K) 8
Correct Answer: H
More ACT Math Exam Questions
- 1
For all real values of a and b, the equation |a - b| = 5 can be interpreted as "the positive difference of a and b is 5." What is the positive difference between the 2 solutions for a?
- 2In the standard (x,y) coordinate plane, point B with coordinates of (5,6) is the midpoint of line and point A has coordinates at (9,4). What are the coordinates of C?
- 3
In the following figure, fis the midpoint of . Which of the following are the coordinates of f?
- 4What is the coefficient of x8 in the product of the polynomials below?
(–x4 + 3x3 - 5x2 + x - 5)(5x4 - 2x3 + x2 - 5x + 2)
- 5
Two hoses attached to separate water sources are available to fill a cylindrical swimming pool. If both hoses are used, the time it will take to fill the pool can be represented by the following equation: , where T1 and T2 represent the time needed for hoses 1 and 2, respectively, to fill the pool on their own, and Tc represents the time needed for hoses 1 and 2 to fill the pool working together. If hose 1 alone can fill the pool in exactly 20 minutes and hose 2 alone can fill the pool in exactly 60 minutes, how many minutes will it take to fill the pool if both hoses work simultaneously?