GACE: Mathematics Practice Test Questions
with Complete Solutions
The path of ball thrown into the air is modeled by the first quadrant graph of the equation h = -
16t2 + 64t + 5, where h is the height of the ball in feet and t is time in seconds after the ball is
thrown. What is the average rate of change in the ball's height with respect to time over the
interval [1, 3]? 0 feet/second
Zeke drove from his house to a furniture store in Atlanta and then back home along the same
route. It took Zeke three hours to drive to the store. By driving an average of 20 mph faster on
his return trip, Zeke was able to save an hour of diving time. What was Zeke's average driving
speed on his round trip? 48 mph
Determine the number of diagonals of a dodecagon. 54
A circular bracelet contains 5 charms, A, B, C, D, and E, attached at specific points around the
bracelet, with the clasp located between charms A and B. The bracelet is unclasped and stretched
out into a straight line. On the resulting linear bracelet, charm C is between charms A and B,
charm D is between charms A and C, and charm E is between charms C and D. Which of these
statements is (are) necessarily true?
I. The distance between charms B and E is greater than the distance between charms A and D.
with Complete Solutions
The path of ball thrown into the air is modeled by the first quadrant graph of the equation h = -
16t2 + 64t + 5, where h is the height of the ball in feet and t is time in seconds after the ball is
thrown. What is the average rate of change in the ball's height with respect to time over the
interval [1, 3]? 0 feet/second
Zeke drove from his house to a furniture store in Atlanta and then back home along the same
route. It took Zeke three hours to drive to the store. By driving an average of 20 mph faster on
his return trip, Zeke was able to save an hour of diving time. What was Zeke's average driving
speed on his round trip? 48 mph
Determine the number of diagonals of a dodecagon. 54
A circular bracelet contains 5 charms, A, B, C, D, and E, attached at specific points around the
bracelet, with the clasp located between charms A and B. The bracelet is unclasped and stretched
out into a straight line. On the resulting linear bracelet, charm C is between charms A and B,
charm D is between charms A and C, and charm E is between charms C and D. Which of these
statements is (are) necessarily true?
I. The distance between charms B and E is greater than the distance between charms A and D.
