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
If a number sequence begins 1, 3, 4, 6, 7, 9, 10, 12 . . ., which of the following numbers does NOT appear in the sequence?
(F) 34(G) 43(H) 57(J) 65(K) 72
Correct Answer: J
An integer from 299 through 1,000, inclusive, will be chosen randomly. What is the probability that the number chosen will have 1 as at least 1 of its digits?
(A) (B) (C) (D) (E)
Correct Answer: B
What is the perimeter, in feet, of a rectangle with width 8 feet and length 17 feet?
(F) 25(G) 34(H) 50(J) 136(K) 272
Correct Answer: H
More ACT Math Exam Questions
- 1Let the operation # be defined for the set of real numbers by: Which of the following statements are true for all real numbers x, y, and z? I. x # y = y # x II. (x # y) # z = x # (y # z) III. 0 # x = 0
- 2
The dimensions of a block of cheese are 12 inches by 3 inches by 3 inches. What is the volume, in cubic inches, of the block of cheese?
- 3
A function is defined for x and y such that f(x, y) = -2xy + y + x - 4. So, for x = 2 and y = 3, f(2, 3) = -2 × 2 × 3 + 3 + 2 - 4 = -12 + 1 = -11. If x and y are to be chosen such that f(x,y) = f(y,x), then which of the following restrictions must be placed on x and y?
- 4Which of the following values for a in the equation 3x + 3a - 5 = 5x - a causes the solution for x to be 6?
- 5On 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?