【GRE考满分题库检索】GRE 题目搜索_数学

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题目内容
The figure represents a flat rectangular plot of land that consists of a rectangular parking lot and a surrounding sidewalk of uniform width. If the area of the parking lot is $$\frac{3}{5}$$ of the area of the entire plot of land, what is the width, in feet, of the sidewalk?
ABCD is a square, and the shaded regions are square. Quantity A The area of the shaded region / the area of unshaded region Quantity B $$\frac{x}{y}$$
Which line(s), k, l or n, can divide the rectangle into two parts that have an area ratio of 2:1? Indicate all such lines.
Each side of square S has length 2. Five different points lie inside S but not on the sides of S. Quantity A The distance between the closest two points among the five points Quantity B $$\sqrt{2}$$
ABCD is a square, what is the area of the shaded region?
The length of each side of quadrilateral ABCD is 5. Quantity A The length of diagonal AC Quantity B 5
ABCD is a square and CEFD is a rhombus. Quantity A The area of ABCD Quantity B The area of CEFD
Quantity A The ratio of the longer diagonal to the shorter diagonal in a parallelogram whose four sides are the same Quantity B 2
A metalworker has two sheets of metal. The first sheet is in the shape of an equilateral parallelogram with two opposite angles of measure 60 degrees each. The second sheet is in the shape of a square. If the metalworker cuts out the largest possible circle from each sheet, then the areas of the two circles will be equal. What is the ratio of the area of the first sheet to the area of the second sheet?
A tank in the shape of a right circular cylinder is enclosed by walls and fencing. The figure shows a horizontal cross section of the tank and the enclosure, where the circle representing the tank is tangent to each of the four line segments representing the sides of the enclosure. The lengths of the fencing represented by line segments AD and CD are 17.5 meters and 14.5 meters, respectively, and the length of the wall represented by line segment BC is 7 meters. Approximately what is the circumference of the tank in meters?
The bottom of the figure is 13 feet What is the area of the above figure? _____ square feet
What is the area of the shaded area as shown above?
The two circles in the figure above both have center O. The square is inscribed in the larger circle and circumscribed about the smaller circle. If x is the radius of the larger circle, what is the radius of the smaller circle, in terms of x?
There is a circle inscribed in the big square, and a smaller square inscribed in the circle. Giving that the side length of the big square is $$\sqrt{2}$$, what is the side length of the small square?
As shown in the figure, a square and a rectangle are inscribed in a circle. If one side length of the square is 4, and one side of the rectangle has length 5. What is the area of the rectangle?
Triangle ABC is inscribed in the circle. Quantity A The radius of the circle Quantity B The length of AC
Quantity A $$\frac{y}{x}$$ Quantity B $$\frac{x+y}{2}$$
In the circle shown above, the radius is 4. ABC is an isosceles triangle, CD is perpendicular to AB, what is the length of AB?
Circle X and circle Y have the same area. The radius of circle A is twice the radius of circle X. The diameter of circle B is 75 percent greater than the diameter of circle Y. Quantity A The area of circle A Quantity B The area of circle B
In the ceiling of a room, an opening was cut in the shape of a square with sides that are 1 foot in length. A circular fixture will be placed over the opening. If the circular fixture covers the square opening completely, which of the following could be the diameter of the circular fixture, in inches? (Note: 1 foot = 12 inches) Indicate all such diameters.