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A 24-hour day is how many times as long as 60 seconds?

(A) 12

(B) 30

(C) 365

(D) 720

(E) 1,440

The Correct Answer
Explanation

During their daily training race, Carl has to stop to tie his shoes. Melissa, whose shoes are velcro, continues to run and gets 20 feet ahead of Carl. Melissa is running at a constant rate of 8 feet per second, and Carl starts running at a constant rate of 9.2 feet per second to catch up to Melissa. Which of the following equations, when solved for s, gives the number of seconds Carl will take to catch up to Melissa?

(F) 8s + 20 = 9.2s (G) 8s - 20 = 9.2s (H) (J) 8s = 20 (K) 9.2s = 20

Correct Answer: F

Isosceles triangle T1 has a base of 12 meters and a height of 20 meters. The vertices of a second triangle T2 are the midpoints of the sides of T1. The vertices of a third triangle, T3, are the midpoints of the sides of T2. Assume the process continues indefinitely, with the vertices of Tk+1 being the midpoints of the sides of Tk for every positive integer k. What is the sum of the areas, in square meters, of T1, T2, T3, …?

(F) 30 (G) 40 (H) 120 (J) 144 (K) 160

Correct Answer: K

In the standard coordinate plane, what is the distance between the points (5, 7) and (13, 11)?

(A)80 (B) 12 (C) image (D) 8 (E) image

Correct Answer: C

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