*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 town of Ashville has three bus stations (A, B, and C) that offer round-trip fares to its business district at both peak and off-peak rates. The matrices below show the average weekly sales for each station at each rate and the costs for both rates. In an average week, what are the combined peak and off-peak sales for Ashville's three bus stations?

（A）$780 （B） $1,590 （C） $1,950 （D） $2,090 （E） $2,340

**Correct Answer: D**

A 16-piece orchestra wants to choose one of its members to speak at performances. They decide that this member CANNOT be one of the 4 soloists in the group. What is the probability that Itzhak, who is NOT a soloist, will be chosen as the speaker?

(A) 0(B) (C) (D) (E)

**Correct Answer: C**

What is the smallest positive integer that is divisible by 3, divisible by 5, and divisible by 6 (with no remainders)?

（A）15 （B） 30 （C） 60 （D） 90 （E） 180

**Correct Answer: B**

### More ACT Math Exam Questions

- 1If 35% of a given number is 14, then what is 20% of the given number?
- 2
In the figure below, rectangle ABCD shares with CDE, diagonal of the rectangle extends in a straight line beyond D to E to create , and the measure of CDE is 155°. What is the measure of CBD?

- 3
In the following figure, what is the value of

*y*in terms of*x*? - 4
If a number sequence begins 1, 3, 4, 6, 7, 9, 10, 12 . . ., which of the following numbers does NOT appear in the sequence?

- 5Payton ran 1 miles on Monday, 2 miles on Tuesday, and 1 miles on Wednesday. What is the median distance that he ran?