## How many different positive 3-digit integers can be formed if the three digits 3, 4, and 5 must be used in each of the integers?

(A)6

(B) 7

(C) 8

(D) 9

(E) 12

Given triangle CDE (shown below) with a right angle at point E, what is the length of leg DE?

(F) 8 (G) (H) 6 (J) (K) 16

**Correct Answer: H**

A basketball player has attempted 30 free throws and made 12 of them. Starting now, if he makes every free throw attempted, what is the least number of additional free throws he must attempt to raise his free-throw percentage to at least 55%?

(Note: Free-throw percentage =

× 100.)

（A）5 （B） 10 （C） 16 （D） 17 （E） 29

**Correct Answer: B**

Avi is trying to draw a map of his most recent bike ride. He chose to place Market Street on the x-axis and Broad Street on the y-axis. He rode 60 m at an angle of 60° relative to Market Street, then rode 100 m at an angle of 45° relative to Market Street, and finally rode 35 m directly north on Broad Street. How many meters north of Market Street did Avi ride?

(A) 35 (B) 115 (C) 195 (D) 50 + 30 (E) 35 + 50 + 30

**Correct Answer: E**

### More ACT Math Exam Questions

- 1What is the distance, in coordinate units, between the points S (-, 7) and T(-3, 9) in the standard (x, y) coordinate plane?
- 2
Triangle ACE, shown in the figure below, is isosceles with base . B lies on and D lies on . Segments and bisect AEC and CAE respectively. Which one of the following angle congruences is necessarily true?

- 3In the figure below, both circles are centered around X. The length of XY is 2 units and the length of XZ is 6 units. If the smaller circle is cut out of the larger circle, how much of the area, in square units, of the larger circle will remain?
- 4In the figure below, 3 lines intersect at the indicated angles. What is the degree measure of x?
- 5If x
^{2}- 36a^{2}= 5ax, what are the two solutions for x in terms of a?