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Jane ran around the perimeter of a rectangular park at a constant rate of 10 feet per second. The park has an area of 67,500 square feet, and its length is exactly three times its width. For how many seconds did Jane run?

(F) 60

(G) 120

(H) 240

(J) 360

(K) 480

When asked the price, in dollars, of his fancy calculator, Albert responded, "If you take the square root of the price, then add the price, the result is 66." What is the price, in dollars, of Albert's calculator?

(F) 169(G) 144(H) 121(J) 13(K) 12

Correct Answer: G

A rock band, The Young Sohcahtoans, is trying to design a t-shirt logo. The measurements they have chosen are represented on the figure below. The angle to the right of the logo "TYS" has a degree measure of 35°, and the side of the figure has a measure of 10 in. Which of the following expressions gives the measure, in inches, of the diagonal top side of the figure?

(A) 10 tan 35° (B) 10 cos 35° (C) 10 sin 35° (D) (E)

Correct Answer: D

At 10:00, Angela starts from her home and runs at a constant pace to Kathleen’s house, which is exactly 2 miles away. Immediately, she and Kathleen turn around and walk back to Angela’s house exactly 4 miles an hour slower than Angela ran. When they arrive at Angela’s house, the time is 10:45. At what speed did Angela run?

(F) 6 miles per hour(G) 6.5 miles per hour(H) 7 miles per hour(J) 7.5 miles per hour(K) 8 miles per hour

Correct Answer: K