On an xy-graph, three corners of a parallelogram are located at (3, 3), (4, – 4), and (–2, –1). Which of the following points could be the remaining corner?
(A) (8, 0)
(B) (8, –1)
(C) (–1, 9)
(D) (–3, 6)
(E) (–5, 7)
Evan purchased 6 boxes of sugar cookies, each box containing 10 snack bags and each bag containing 12 cookies. Evan could have purchased the same amount of cookies by buying how many family-sized packs of 30 cookies each?
(A)12 (B) 24 (C) 48 (D) 72 (E) 180
Correct Answer: B
A trapezoid has parallel bases that measure 3 inches and 9 inches and a height that measures 6 inches. What is the area, in square inches, of the trapezoid?
(F) 18 (G) 24 (H) 30 (J) 36 (K) 54
Correct Answer: J
In 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?
(A)F (B) G (C) H (D) J (E) K
Correct Answer: B
More ACT Math Exam Questions
- 1
The lengths of 2 sides are not given in the polygon below. If each angle between adjacent sides measures 90°, then, in meters, what is the perimeter of the polygon?
- 2If xy = 144, x + y = 30, and x > y, what is the value of x – y ?
- 3If 3(2x - 1) = 11x + 27, then x = ?
- 4What math is in the ACT?
- 5Stacie has a bag of solid colored jellybeans. Each jellybean is orange, purple, or pink. If she randomly selects a jellybean from the bag, the probability that the jellybean is orange is , and the probability that it is purple is . If there are 72 jellybeans in the bag, how many pink jellybeans are in the bag?