For some real number a, the graph of y = (a + 3)x + 5 in the standard (x, y) coordinate plane passes through the point (3, 11). What is the slope of this line?
(A)-5
(B) -2
(C) -1
(D) 2
(E) 5
The geometric mean of 3 positive numbers is the cube root of the product of the 3 numbers. What is the geometric mean of 2, 4, and 27?
(A) 6 (B) 11 (C) 21 (D) 72 (E) 216
Correct Answer: A
An 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?
（A）
（B） 
（C） 
（D） 
（E） 
Correct Answer: E
In the diagram below, 
ABC is isosceles and BCD is equilateral. 
= 
and the measure of 
ABC is half the measure of BAC. What is the measure of ABD?
(F) 36° (G) 60° (H) 72° (J) 96° (K) 150°
Correct Answer: J
More ACT Math Exam Questions
- 1A size 8 dress that usually sells for $60 is on sale for 30% off. Victoria has a store credit card that entitles her to an additional 10% off the reduced price of any item in the store. Excluding sales tax, what is the price Victoria pays for the dress?
- 2
If you drive 60 miles at 90 miles an hour, how many minutes will the trip take you?
- 3What is the smallest positive integer that is divisible by 3, divisible by 5, and divisible by 6 (with no remainders)?
- 4
There are 45 musicians in an orchestra, and all play two instruments. Of these musicians, 36 play the piano, and 22 play the violin. What is the maximum possible orchestra members who play both the piano and the violin?
- 5In the figure below,
and 
bisect each other at e. The measure of 
CAE is 80° and the measure of BDE is 60°. What is the measure of CEA?
