*RST* is a right triangle with side lengths of *r*, *s*, and *t*, as shown below. What is the value of cos^{2} *S* + cos^{2} *R*?

(F) 1

(G)

(H)

(J)

(K)

The perimeter of an elliptical billiard table is to be covered with red velvet. The perimeter of an ellipse is given by the formula , where l is the length and w is the width, as shown in the diagram below. If the length is 4 feet and the width is 3 feet, what is the outside perimeter of the ellipse in feet?

（A）π （B） (4 + 3) （C） π （D） (4π + 3) （E） 5π

**Correct Answer: A**

What is the volume, in cubic centimeters, of a cone with a height of 9 centimeters and a base with a radius of 4 centimeters? (The volume of a cone is , where R is the radius of the base of the cone and h is the height of the cone.)

（A）144π （B） 72π （C） 48π （D） 16π （E） 9π

**Correct Answer: C**

The area of the square in the figure below is 324 square centimeters, and the two small isosceles right triangles are congruent. What is the combined area, in square centimeters, of the 2 small triangles?

(F) 108

(G) 162

(H) 216

(J) 324

(K) 648

**Correct Answer: J**

### More ACT Math Exam Questions

- 1
Each of the following values could represent a probability EXCEPT:

- 2
What is the slope of the line given by the equation 8 = 3y - 5x?

- 3
In the figure below, the circle with center O is tangent to , , , and . The measure of angle BDE is 75° and the measure of DEA is 105°.

The lines in which of the following pairs of lines are necessarily parallel?

I. and

II. and

III. and

- 4
What is the result when you add the matrix to the matrix and multiply the result by 2?

- 5In the figure below, m is the midpoint of and LMP is equilateral. If = 8, what is the length of ?