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. The 1st term in the geometric sequence below is −9. If it can be determined, what is the 6th term?
−9, 18, −36, 72, −144, …
A. −288
B. −216
C. 216
D. 288
E. Cannot be determined from the given information
2. A yogurt shop has 6 flavors of yogurt and 5 toppings. Each sundae consists of 1 yogurt flavor and 1 topping. Jaylen decided to surprise Takoda with a sundae, but he did not know her preferences. Given that Takoda has a preference of 1 flavor of yogurt and 1 topping from those available in the shop, what is the probability that Jaylen will choose the topping and yogurt that Takoda prefers?
3. How many minutes would it take a ship to travel 100 miles at a constant speed of 40 miles per hour?
A. 24
B. 40
C. 60
D. 150
E. 250
4. A fan has 3 evenly spaced blades of negligible thickness, as shown below. What is the measure of an angle between 2 blades?
F. 30°
G. 60°
H. 90°
J. 100°
K. 120°
5. ⎪6 − 5⎪ − ⎪3 − 7⎪ = ?
A. −5
B. −3
C. 3
D. 5
E. 21