## Scott's swimming pool has a depth of 8 feet and holds 13,000 gallons of water when full. Because of the warm weather, 10% of the water in the pool evaporates each day. Scott fills the pool with water and comes back the next day to measure the amount of water remaining in the pool. He considers this "Day 1" because it was taken 1 day after the pool was filled, and he labels his measurement as such. The next day, he measures the amount of water again, and he labels the results "Day 2" because it is now 2 days after he filled the pool. If Scott continues, on which day will he measure the pool that it is less than half full?

(A)5

(B) 6

(C) 7

(D) 8

(E) 9

The perimeter of a rectangle is 20 cm. If the width is 4 cm, find the length of the rectangle.

（A） 5 cm （B） 6 cm （C） 15 cm （D） 25 cm （E）32 cm

**Correct Answer: B**

In the triangles shown below, what is the average of angles a, b, c, d, and e?

（A）30° （B） 45° （C） 54° （D） 60° （E） 72°

**Correct Answer: C**

In the figure below, all line segments that intersect are perpendicular. Using only the segments and vertices in the figure, how many distinct rectangles are there with areas less than the area of ADLI? (Note: If 2 rectangles have all four vertices in common, then they are not distinct.)

（A）7 （B） 8 （C） 17 （D） 18 （E） 19

**Correct Answer: C**

### More ACT Math Exam Questions

- 1In 1905, the distance between the edge of a lake and Marker X was 75 meters. In 2005, the distance between the edge of this lake and Marker X was 825 meters. If the edge of this lake withdrew from Marker X at a linear rate, then what was the distance, in meters, between the edge of the lake and Marker X in 1985 ?
- 2For which values of x will 3(x + 4) ≥ 9(4 + x)?
- 3
A heart-shaped ornament is made from a square and two semicircles, each of whose diameter is a side of the square. The ornament is shown in the standard (

*x*,*y*) coordinate plane below, where 1 coordinate unit represents 1 inch. The coordinates of six points on the border of the ornament are given. What is the perimeter, in inches, of the ornament? - 4
What is the perimeter, in feet, of a rectangle with width 8 feet and length 17 feet?

- 5Mike sold 3 pounds of beef at his deli on Wednesday and 2 pounds of beef on Saturday. Which of the following ranges includes the total amount of beef, in pounds, Mike sold during these two days?