505-555 (Easy)
Tanks A and B are each in the shape of a right circular cylinder. The interior of Tank A has a height of 10 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank B?
Sub 505 (Easy)
If 1 x − 1 x + 1 = 1 x + 4 , then x could be
Sub 505 (Easy)
If a sphere with radius r is inscribed in a cube with edges of length e, which of the following expresses the relationship between r and e ?
Sub 505 (Easy)
The figure above shows a path around a triangular piece of land. Mary walked the distance of 8 miles from P to Q and then walked the distance of 6 miles from Q to R. If Ted walked directly from P to R, by what percent did the distance that Mary walked exceed the distance that Ted walked?
Sub 505 (Easy)
Which of the following is closest to √ 4.2 (1 , 590) 15.7 − − − − √ ?
505-555 (Easy)
In a certain high school, 80 percent of the seniors are taking calculus, and 60 percent of the seniors who are taking calculus are also taking physics. If 10 percent of the seniors are taking neither calculus nor physics, what percent of the seniors are taking physics?
505-555 (Easy)
Mark and Ann together were allocated n boxes of cookies to sell for a club project. Mark sold 10 boxes less than n and Ann sold 2 boxes less than n. If Mark and Ann have each sold at least one box of cookies, but together they have sold less than n boxes, what is the value of n?
Sub 505 (Easy)
During a recent storm, 9 neighborhoods experienced power failures of durations 34, 29, 27, 46, 18, 25, 12, 35, and 16 minutes, respectively. For these 9 neighborhoods, what was the median duration, in minutes, of the power failures?
555-605 (Medium)
A service provider charges c dollars for the first 50 hours of service used per month and 40 cents for each 30 minutes in excess of 50 hours used during the month. If x is an integer greater than 50, which of the following expressions gives this service provider's charge, in dollars, for a month in which x hours of service were used?
Sub 505 (Easy)
Based on the rates above, how much would Company X charge a customer with a low-use contract for using 95 message units in a month?
505-555 (Easy)
A ladder of a fire truck is elevated to an angle of 60° and extended to a length of 70 feet. If the base of the ladder is 7 feet above the ground, how many feet above the ground does the ladder reach?
Sub 505 (Easy)
The graph above shows the height of the tide, in feet, above or below a baseline. Which of the following is closest to the difference, in feet, between the heights of the highest and lowest tides on July 13 at Bay Cove?
Sub 505 (Easy)
If the length of a diagonal of a square is
2
√
x
2
x
√
, what is the area of the square in terms of x ?
Sub 505 (Easy)
10, 4, 26, 16
What is the median of the numbers shown?
Sub 505 (Easy)
The figure above represents a semicircular archway over a flat street. The semicircle has a center at O and a radius of 6 feet. What is the height h, in feet, of the archway 2 feet from its center?
Sub 505 (Easy)
In the figure above, what are the coordinates of point R ?
Sub 505 (Easy)
Ron is 4 inches taller than Amy, and Barbara is 1 inch taller than Ron. If Barbara's height is 65 inches, what is the median height, in inches, of these three people?
505-555 (Easy)
The figure shown above represents a modern painting that consists of four differently colored rectangles, each of which has length l and width w. If the area of the painting is 4,800 square inches, what is the width, in inches, of each of the four rectangles?
605-655 (Medium)
The parallelogram shown has four sides of equal length. What is the ratio of the length of the shorter diagonal to the length of the longer diagonal?
Sub 505 (Easy)
In the figure above, what is the ratio of the measure of angle B to the measure of angle A?