Connecting the midpoints of opposite sides of any quadrilateral to the midpoints of the adjacent sides must always create which of the following?
(F) Point
(G) Line
(H) Circle
(J) Square
(K) Parallelogram
A small square table and an L-shaped table fit together with no space between them to create a large square table. The area of the large square table is 108 square feet and is nine times the area of the small square. What is x, the edge of the L-shaped table labeled in the figure below in square feet?
(A)2 (B) 4 (C) 4 (D) 4 (E) 12
Correct Answer: C
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
Which of the following is a prime factorization of 2,100?
(A)2 · 3 · 5 · 7 (B) 22 · 3 · 52 · 7 (C) 22 · 3 · 5 · 35 (D) 22 · 52 · 21 (E) 22 · 550
Correct Answer: B
More ACT Math Exam Questions
- 1
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?
- 2For all real numbers a, b, and c such that a < b and c > 0, which of the following inequalities, if any, must be true?
- 3
Dave is in Pikeston and needs to go to Danville, which is about 110 miles due south of Pikeston. From Danville, he'll head east to Rocketville, about 200 miles from Danville. As he sets out on his trip, a plane takes off from the Pikeston airport and flies directly to Rocketville. Approximately how far, in miles, does the plane fly?
- 4What real number is halfway between and ?
- 5Lines and intersect at point V on line , as shown in the figure below. The measures of 2 angles are given in terms of a, in degrees. What is the measure of XVZ in degrees?