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. Tisha is building a wooden drying rack. The top of the rack is in the shape of a trapezoid. The trapezoid’s bases are 24 inches long and 38 inches long, respectively. Tisha will add a brace that joins the midpoints of the trapezoid’s 2 nonparallel sides to support her drying rack, as shown in the figure below. How many inches long will the brace be?
A. 26
B. 28
C. 31
D. 32
E. 33.5
2. Five different stores have different prices for a particular brand and style of T-shirts. Those prices are shown in the table below. Which of the 5 stores offers the lowest price for 6 of these T-shirts?
F. 1
G. 2
H. 3
J. 4
K. 5
3. What is the cost of \( 4\frac{4}{5} \) pounds of apples at $1.50 per pound?
(Note: No sales tax is charged.)
A. $4.40
B. $5.40
C. $6.00
D. $6.30
E. $7.20
4. A ball was dropped from a table, and the maximum rebound height, in inches, after each of the first 4 bounces was measured and recorded in the bar graph below. One of the following values is the mean of the 4 recorded heights. Which one?
F. 2.30
G. 2.50
H. 4.50
J. 5.75
K. 7.00
5. Matt works for the city of Centerville checking for expired parking meters. When checking meters, he travels a rectangular path that starts and ends at the corner of Main Street and 1st Avenue, as shown in the figure below. Matt travels this path 15 times in a typical day. In traveling this path 15 times, about how many miles does Matt travel?
(Note: 1 mile = 5,280 feet)
A. 13
B. 16
C. 31
D. 88
E. 352