Given parallel lines l and m, which of the following choices lists a pair of angles that must be congruent?
(F) ∠1 and ∠2
(G) ∠1 and ∠3
(H) ∠2 and ∠3
(J) ∠2 and ∠5
(K) ∠3 and ∠5
After Jean spent 90% of her vacation money, $100 remained. How much vacation money did she originally have?
(A)$111 (B) $191 (C) $900 (D) $1,000 (E) $1,111
Correct Answer: D
What is the equation for a line that intersects the origin and is perpendicular to 2x– 4y= 13?
(A) y= –2(B) y= 2x(C) y= –2x(D) (E)
Correct Answer: C
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
Correct Answer: C
More ACT Math Exam Questions
- 1If 6x2 + x - c = (cx - 1)(3x + 2), what is the value of c?
- 2If p and q are positive integers, and 6pq4 and 12p2q2 have a greatest common factor of 1,050, then which of the following is a possible value for the sum of p and q?
- 3
In the qualifying rounds for a race, Rusty and Dale drive their cars around a 6,000-foot oval track. Rusty and Dale each drive 8 laps in the qualifying rounds in lanes of identical length.
In the qualifying rounds, Rusty averages 180 seconds per lap until he begins the last lap. He then goes into a lower gear. He averages 190 seconds per lap for this qualifying round. How many seconds does Rusty take to drive the final lap?
- 4Which of the following expressions is equivalent to the inequality 6x – 8 > 8x + 14?
- 5
When (2x + 4)2 is written in the format ax2 + bx + c, where a, b, and c are integers, what is the value of a + b - c?