【GRE考满分题库检索】GRE 题目搜索_数学

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题目内容
The perimeter of square S is 28, and the perimeter of equilateral triangle T is 30. Quantity A The area of the region enclosed by $$S$$ Quantity B The area of the region enclosed by $$T$$
Square EFGH is inscribed in square ABCD. The length of AH is 4 and the length of HD is 3. Quantity A The length of AD Quantity B The length of FH
The circle with center B has radius r $$DC=\frac{r}{\sqrt{2}}$$ Quantity A The perimeter of $$\triangle$$ BCD Quantity B $$r+{r\sqrt{2}}$$
Five identical squares are placed side by side, creating a rectangle with perimeter 60. What is the area of the rectangle? ______________
A rancher uses 240 meters of fencing to build two adjacent rectangular corrals on a flat piece of land along the side of a barn, as shown in the figure. The width of each corral is x meters, the two corrals share one common side, and no fencing is required along the side of the barn. Disregarding the thickness of the fence, what is the total area, in square meters, of the two corrals in terms of $$x$$?
In the figure, ABCE is a square. What is the area of quadrilateral ABCD?______________
Quantity A The length of the semicircular arc PQ Quantity B $$15$$
A rectangular tile with length l and width w is shown above. What is the ratio of the area of the shaded region of the tile to the area of the tile that is not shaded?
E, F, and G are midpoints of three of the sides of square ABCD, respectively. Quantity A The ratio of the area of triangular region ECG to the area of triangular region AFD. Quantity B $$\frac{3}{5}$$
Square RSTW is rotated 360 degrees around vertex $$S$$, where $$S$$ is fixed. The path of vertex W is a circle, $$C$$, with radius $$r$$. Quantity A The area of the circular region enclosed by $$C$$ Quantity B $$50π$$
Earth makes a complete revolution around the Sun once per year in a nearly circular orbit that has a radius of about $$93x10^6$$ miles. Of the following, which is closest to the distance in miles, that Earth travels in that orbit in one year?
In the figure above, the vertices of square BDFH are the midpoints of the sides of square ACEG, and a circle is inscribed in square BDFH. lf the radius of the circle is $$ \sqrt{2} $$ , what is the length of each side of square ACEG?
In the figure above, KLMN is a square. If s is the length of a side of the square, what is the area of the circular region in terms of $$s$$?
The figure shows two circles that are each tangent to three sides of rectangle RSTW and that have centers at $$P$$ and $$Q$$, respectively. If each circle has a circumference of $$c$$, what is the area of rectangular region RSTW in terms of $$c$$?
A total of 64 cubical blocks, each 3 inches on an edge, are stacked in layers to form a large cubical block, What is the volume, in cubic inches, of the large block?
The cube has vertices A, B, C, D, E, F, G, and H and edges of length 1. Line segments BH and EG are not shown. Quantity A The measure of angle BHD Quantity B The measure of angle FGE
The right circular cylinder shown has a diameter of 10, a height of h, and a total surface area of 130π, including the side, top, and bottom. Quantity A $$h$$ Quantity B $$10$$
A rectangular label is attached to a right circular cylinder with radius $$r$$. The label which encircles the cylinder without overlap, has width w and an area equal to the area of the base of the cylinder. Quantity A $$w$$ Quantity B $$r$$
The figure shows a set of four revolving rectangular doors, each of which is 4 feet wide and 10 feet high. The doors revolve 360 degrees around the fixed axis that is formed where the four doors connect. Which of the following is closest to the minimum number of cubic feet of space that is required for the set of doors to revolve?
Consider a sphere such that the ratio of the surface area of the sphere to its volume is 7. What is the radius of the sphere? (Note: The surface area of a sphere with radius r is $$4πr^2$$, and the volume of a sphere with radius r is $$\frac{4}{3}$$ $$πr^3$$.)