University:
College Entrance Preparation
Course:
ACT Preparation (Mathematics)
Academic year:

2023
Views:

337

Pages:

1
Author:

MathMonk

ACT Math Practice for Pi Day 1.) If the circumference of a circle is 14π, what is its area? A. B. C. D. E. 7 7π2 14π 49π 49π2 2.) Euclid and Pythagoras go to a bistro, and each orders a slice of pie. Euclid orders a slice of chocolate pie for $3.50, and Pythagoras orders a slice of strawberry rhubarb pie for x dollars. The mathematicians decide to leave a total tip of $3.14 and to split the bill evenly. If the total amount that Euclid pays is $5.70, what is the value of x? A. B. C. D. E. $4.76 $5.70 $6.28 $7.90 $11.40 3.) Which of the following functions has a period of 3π? A. 𝑓𝑓 (𝑥𝑥) = 3πcos(5x) + 3 2 B. 𝑓𝑓 (𝑥𝑥) = −sin � 𝑥𝑥 + π� − 2 3 C. 𝑓𝑓 (𝑥𝑥) = cos(𝑥𝑥 − 3π) + 7 3 D. 𝑓𝑓 (𝑥𝑥) = 2sin � 𝑥𝑥� − 3π 2 3π E. 𝑓𝑓 (𝑥𝑥) = −5sin � � 𝑥𝑥 4.) A pie plate shaped like a right cylinder has an exterior radius of 9 inches and an exterior height of 4 inches. If it is made of glass that 1 has a uniform thickness of 4 inch, which of the following options is closest to the maximum volume of pie filling that it can hold? A. B. C. D. E. 254 in3 794 in3 851 in3 900 in3 1017 in3