Given triangle CDE (shown below) with a right angle at point E, what is the length of leg DE?
(F) 8
(G) 
(H) 6
(J) 
(K) 16
The 7 consecutive integers below add up to 511, x - 2, x - 1, x, x + 1, x + 2, x + 3, and x + 4. What is the value of x?
（A）71 （B） 72 （C） 73 （D） 74 （E） 75
Correct Answer: B
In the figure below, F, G, H, and J are collinear. 
, 
, and 
are line segments of equivalent length, and the measure of 
JHK is 120°. What is the degree measure of GFK?
(F) 30°(G) 45°(H) 60°(J) 120°(K) 150°
Correct Answer: F
William earned $3,200 per month as a teacher for the ten months from September to June. Then he took a job as a barista at a local café, where he earned $2,000 per month during July and August. What was his average monthly pay for the 12 months?
(A) $2,400(B) $2,500(C) $2,600(D) $2,800(E) $3,000
Correct Answer: E
More ACT Math Exam Questions
- 1
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?
- 2
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?
- 3
The graph of y = f(x) is shown in the standard (x,y) coordinate plane below with points V, W, X, Y, and Z labeled.
The y-intercept of the graph of y = f(x) is located at which of the following points?
- 4A basketball player has attempted 30 free throws and made 12 of them.
Starting now, if he makes every free throw attempted, what is the least number of additional free throws he must attempt to raise his free-throw percentage to at least 55%?
(Note: Free-throw percentage =
× 100.) - 5An urn contains 7 blue balls, 5 white balls, and 3 red balls. What is the probability that the first ball drawn at random from the urn will NOT be red?