Welcome to our “Daily Math Practice Challenge: Preparing for the ACT Exam”! This challenge is designed to help you engage in targeted math practice every day, gearing up for the ACT exam. Through daily exercises, you will enhance your problem-solving speed, deepen your understanding of mathematical concepts, and strengthen your ability to tackle a variety of math problems.

1. A student in a chemistry lab had 25 mL of a solution composed of only water and acid. The solution contained 80% water. The student added 50 mL of 100% water to this solution. What is the percent of acid in the new solution?

2. A ramp has a horizontal length of 12 feet and a vertical height of 1 foot. Which of the following expressions gives the measure of the acute angle the ramp makes with the horizontal?

3. For a fund-raising project, your class decided to sell school supplies. They bought the following items to sell: 1,000 pencils at a cost of 5¢ each; 500 pens at 30¢ each; and 500 packages of notebook paper at 50¢ per package. Your class charged these prices: pencils 10¢ each; pens 50¢ each; and notebook paper $1.00 per package. At the end of the school year, your class had sold 980 pencils, 462 pens, and 459 packages of notebook paper. How much profit did your class make on this project?

(Note: The class donated the unsold items to a youth shelter.)

A. $450.00

B. $400.00

C. $370.90

D. $367.10

E. $338.00

4. Aimée commutes to work on an interstate highway, and she had been averaging 60 miles per hour over her 1-hour round-trip. Lately, the trip has been taking 15 minutes longer each way because of road construction. What is her average speed, in miles per hour, for a round-trip with the construction delays?

F. 30

G. 35

H. 40

J. 45

K. 50

5. Increasing both the length and width of a rectangle by 20% will increase the area of the rectangle by what percent?

A. 4%

B. 20%

C. 40%

D. 44%

E. 80%