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PREP07 Test 2
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During a trip on an expressway, Don drove a total of x miles. His average speed on a certain 5-mile section of the expressway was 30 miles per hour, and his average speed for the remainder of the trip was 60 miles per hour. His travel time for the x-mile trip was what percent greater than it would have been if he had traveled at a constant rate of 60 miles per hour for the entire trip?
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PREP07 Test 2
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$$-2 < P \le -1$$$$-1 < Q \le 0$$$$0 < R \le 1$$$$1 < S \le 2$$For the inequalities above, what is the maximum possible value of P + Q + R + S ?
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PREP07 Test 2
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If xy + k = k and x is not 0, which of the following must be true?
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PREP07 Test 2
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The diameter of circle S is equal in length to a side of a certain square. The diameter of circle T is equal in length to a diagonal of the same square. The area of circle T is how many times the area of circle S ?
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PREP07 Test 2
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A television network sells advertising time on a certain program at the rate of $10,000 per minute. If the program is shown once a day for 5 days a week, what is the cost of advertising on this program for 3 weeks at 30 seconds per day?
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PREP07 Test 2
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If x is an even integer and y is an odd integer, which of the following is even?
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PREP07 Test 2
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The lunch menu at a certain restaurant contains 4 different entrees and 5 different side dishes. If a meal consists of 1 entree and 2 different side dishes, how many different meal combinations could be chosen from this menu?
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PREP07 Test 2
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A school purchased 2 computers whose prices were $1,000 and $2,000, respectively. The school is to purchase 2 more computers from a list of computers whose prices range from $1,000 to $2,000, inclusive. The greatest possible average (arithmetic mean) price of the 4 computers is how much greater than the least possible average price of the 4 computers?
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PREP07 Test 2
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Connie paid a sales tax of 8 percent on her purchase. If the sales tax had been only 5 percent, she would have paid $12 less in sales tax on her purchase. What was the total amount that Connie paid for her purchase including sales tax?
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PREP07 Test 2
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A grocer stacked oranges in a pile. The bottom layer was rectangular with 3 rows of 5 oranges each. In the second layer from the bottom, each orange rested on 4 oranges from the bottom layer, and in the third layer, each orange rested on 4 oranges from the second layer. Which of the following is the maximum number of oranges that could have been in the third layer?
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PREP07 Test 2
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 The figure shows the top side of a circular medallion made of a circular piece of colored glass surrounded by a metal frame, represented by the shaded region. If the radius of the medallion is r centimeters and the width of the metal frame is s centimeters, then in terms of s and r, what is the area of the metal frame, in square centimeters?
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PREP07 Test 2
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At 12:00 noon, the temperature in a certain storage room was 64. If the temperature in the storage room decreased at a constant rate of 2 per hour for the next 8 hours, what was the temperature in the storage room at 8:00 in the evening?
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PREP07 Test 2
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The area of a square garden is A square feet and the perimeter is P feet. If A = 2P + 9, what is the perimeter of the garden, in feet?
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PREP07 Test 2
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A certain brand of gasoline costs $1.25 per gallon. Using this gasoline, if a car averages 30 miles to the gallon, what is the cost of the gasoline needed for the car to travel 120 miles?
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PREP07 Test 2
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If x and y are positive, which of the following must be greater than $${1}\over{\sqrt{x+y}}$$?I. $${\sqrt{x+y}}\over{2x}$$II. $$(\sqrt{x}+ {\sqrt{y})}\over{(x+y)}$$III. $${(\sqrt{x}- \sqrt{y})}\over{(x+y)}$$
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PREP07 Test 2
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What is the greatest prime factor of $${4}^{17} - {2}^{28}$$ ?
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PREP07 Test 2
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The temperature of a certain cup of coffee 10 minutes after it was poured was 120 degrees Fahrenheit. If the temperature F of the coffee t minutes after it was poured can be determined by the formula $$F = 120(2^{-at}) + 60$$, where F is in degrees Fahrenheit and a is a constant, then the temperature of the coffee 30 minutes after it was poured was how many degrees Fahrenheit?
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PREP07 Test 2
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The mass of 1 cubic meter of a substance is 800 kilograms under certain conditions. What is the volume, in cubic centimeters, of 1 gram of this substance under these conditions? (1 kilogram = 1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters)
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PREP07 Test 1
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 In the circle above, PQ is parallel to diameter OR, and OR has length 18. What is the length of minor arc PQ ?
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PREP07 Test 1
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 In the figure above, points P and Q lie on the circle with center O. What is the value of s ?
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