A password for a computer system requires exactly 6 characters. Each character can be either one of the 26 letters from A to Z or one of the ten digits from 0 to 9. The first character must be a letter and the last character must be a digit. How many different possible passwords are there?
(A) less than 107
(B) between 107and 108
(C) between 108and 109
(D) between 109and 1010
(E) more than 1010
For all nonzero y and z, =?
(A) 109 (B) 10 (C) 1 (D) (E)
Correct Answer: C
When x = 5 and y = 2, the expression
(A)
(B)
(C)
(D)
(E)
Correct Answer: A
In the figure below, the vertices of parallelogram ABCD are A (2,-4), B (8,-4), C (10,-2), and D (4,-2). What is the area of the parallelogram?
(A)6 (B) 6 (C) 12 (D) 12 (E) 16
Correct Answer: C
More ACT Math Exam Questions
- 1For all real numbers a, b, and c such that a < b and c > 0, which of the following inequalities, if any, must be true?
- 2
In early November in Winnipeg, Manitoba, the temperatures for each of nine consecutive days were -9°C, 3°C, -7°C, 2°C, 5°C, 1°C, 0°C, -8°C, and -7°C. What was the median of the temperatures for these nine days in early November?
- 3
What is the area of ΔRST in the following figure?
- 4
The graph of the function f(x) = is shown in the standard (x,y) coordinate plane below. Which of the following, if any, is a list of each of the vertical asymptotes of f(x)?
- 5
In the figure shown below, and are parallel and = . If ABC is 130° and BAF is 22°, what is the measure of AEF?