A line in a plane separates the plane into how many sets of points that do not contain the line?
(A)0
(B) 1
(C) 2
(D) 3
(E) Cannot be determined
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 function y = f(x) can be classified as one of which of the following types of functions?
(F) Trigonometric (G) Quadratic (H) Absolute value (J) Cubic (K) Linear
Correct Answer: G
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
If cot θ = P, which of the following expressions must also equal P?
（A）tan θ
（B） csc θ - 1
（C） sin θ - cos θ
（D） 
（E） 
Correct Answer: E
More ACT Math Exam Questions
- 1
What is the largest value of m for which there exists a real value of n such that m2 = 196 – n2?
- 2
At 10:00, Angela starts from her home and runs at a constant pace to Kathleen’s house, which is exactly 2 miles away. Immediately, she and Kathleen turn around and walk back to Angela’s house exactly 4 miles an hour slower than Angela ran. When they arrive at Angela’s house, the time is 10:45. At what speed did Angela run?
- 3As shown in the standard (x,y) coordinate plane below, A (2,4) lies on the circle with center L (10,-2) and radius 10 coordinate units. What are the coordinates of the image of A after the circle is rotated 90° counterclockwise (?) about the center of the circle?
- 4
The volume of a right circular cone with the bottom removed to create a flat base can be calculated from the following equation: V =
πh(R2 + r2 + Rr), where h represents the height of the shape and R and r represent its radii as shown in the figure below:
This formula can be used to determine the capacity of a large coffee mug. Approximately how many cubic inches of liquid can the cup shown below hold if it is filled to the brim and its handle holds no liquid?
- 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?