Time: 15 minutes
Find the value of X3-28x2 when x=30.
How many multiples of 3 are between 100 and 1000?
Find, in simplest form, the sum of all fractions in the form n/5, where n is a positive odd integer less than 10.
Time: 15 minutes
After 4 tests Carl's average (mean) in Math is exactly 88. What must he get on the fifth test in order to raise the mean to exactly 90?
Find the smallest whole number value of n such that (.5)n < .01
Find the greatest 3-digit number which leaves a remainder of 1 when divided by any single digit prime number.
Time: 15 minutes
Find 2 positive numbers whose product is 225 and whose quotient is 4.
Find the least positive integer value of n such that .515151...n is an integer.
ABCD is a square with diagonal AC. Altitude BE is drawn in triangle ABC, then an altitude is drawn from E in triangle ABE, and so on. If the tenth altitude drawn has length 1, find the length of AB.
Time: 15 minutes
Find the smallest whole number value of n such that one of the digits of 5n is a 9.
Solve for x: .333...x = .222... (Express your answer as a repeating decimal.)
Josh can run 4 laps around the playground in 5 minutes, but Randy can do 5 laps in 4 minutes. What percent of Randy's speed is Josh's speed?
Time: 15 minutes
Arrange in order from least to greatest:
A=-32 B=(-3)2
& C=-3-2 D=(-3)-2
(Write your answer from left to right.)
Solve for x: 1/2 + 1/x = 1/3
Triangle XYZ is circumscribed about the same circle in which triangle ABC is inscribed. How may times AB is XY?
Time: 15 minutes
In the country of Solaria, the most common coin is the Floobah. If a floobah is exactly 3/32 of an inch thick, how many floobahs will it take to make a stack exactly one foot tall?
Correct to the nearest hundredth, how much greater than the negative square root of 30 is the positive square root of 20?
Difficult Dottie wishes to ship a thin curtain rod in a cubical box, without bending the rod. If the curtain rod is 21 inches long, find the smallest possible whole number of inches for the length of each edge of the cube. (You may ignore the thickness of the rod.) to top
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