## The circle shown below has a radius of 5 meters, and the length of chord XY is 8 meters. If C marks the center of the circle, what is the length, in meters, of segment CZ?

(A)

(B) 3

(C)

(D) 5

(E) 9

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**

In the figure below, ABCD is a rectangle, AB = AE, and E, F, G, and H lie on AD. Of the angles BEA, BFA, BGA, BHA, and ∠BDA, which one has the greatest tangent?

(F) ∠BEA (G) ∠BFA (H) ∠BGA (J) ∠BHA (K) ∠BDA

**Correct Answer: F**

For which of the following values of c will there be 2 distinct real solutions to the equation 5x^{2} + 16x + c = 0?

（A）3 （B） 9 （C） 14 （D） 15 （E） 20

**Correct Answer: A**

### More ACT Math Exam Questions

- 1
Eldridge opened a savings account with an initial balance of $1,000. After that, every month for 8 months, she made one deposit to the account, always for the same amount. During that time, she made just one withdrawal.

Which of the following graphs accurately describes these transactions over an 8-month period?

- 2What real number is halfway between and ?
- 3Kaylee is planning to purchase a car. She will need to borrow some of the money and has a chart, shown below, that will help her to approximate her monthly payment. The chart gives the approximate monthly payment per $1,000 borrowed. A local dealership is having an end-of-the-modelyear clearance sale and is offering 5% annual interest on new-car loans for 36, 48, or 60 months. The maximum amount that Kaylee can budget for her monthly car payment is $300. Of the following loan amounts, which one represents the maximum amount that Kaylee can borrow at 5% annual interest while staying within her budget?
- 4 What is the median of 0.024, 0.008, 0.1, 0.024, 0.095, and 0.3
- 5
Among the following arithmetic operations, which could the emoticon represent given that the equation (8 2)

^{3}- (4 1)^{2 }= 48 is true?I. Subtraction

II. Multiplication

III. Division