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WorksheetsGRE Quant - Geometry 1
Total questions: 20
Worksheet time: 13mins
Quantity A is greater
Quantity B is greater
The two quantities are equal
The relationship cannot be determined from the information given
Quantity A is greater
Quantity B is greater
The two quantities are equal
The relationship cannot be determined from the information given
2
3
4
5
6
(a)
Quantity A is greater
Quantity B is greater
The two quantities are equal
The relationship cannot be determined from the information given
Quantity A is greater
Quantity B is greater
The two quantities are equal
The relationship cannot be determined from the information given
(a)
In the xy-coordinate system, a circle with a radius √30 and a center (2, 1) intersects the x-axis at (k, 0). One possible value of k is
2+ √22
2+ √26
2+ √31
2+ √34
2+ √35
The figure shows the graph of the equation y = k–x2, where k is a constant. If the area of triangle ABC is 1/ 8, what is the value of k?
Give your answer to the nearest 0.01
(a)
If the circle with center O has an area of 9π, what is the area of the equilateral triangle ABC?
9√3
18
12√3
24
16√3
(a)
Quantity A is greater
Quantity B is greater
The two quantities are equal
The relationship cannot be determined from the information given
(3,2)
(3,3)
(4,4)
(5,2)
(6,2)
(a)
In the xy-plane, line k is a line that does not pass through the origin. Which of the following statements individually provide(s) sufficient additional information to conclude that the slope of line k is negative?
Indicate all such statements.
The x-intercept of line k is twice the y-intercept of line k.
The product of the x-intercept and the y-intercept of line k is positive.
Line k passes through the points (a, b) and (r, s), where (a-r)(b, s) is less than 0.
Quantity A is greater
Quantity B is greater
The two quantities are equal
The relationship cannot be determined from the information given
If a circle of radius length 4 and an equilateral triangle of side 4 are made to overlap as shown, what is the approximate area of the shaded region?
1
2
4
8
16
Which of the following is the perimeter of an equilateral triangle with a side of x, if √x8=81?
27
9√3
9
3√3
3
The length of a rectangular floor is twice its width. The floor is partially covered by a rectangular carpet whose length is the same as the length of the floor and whose width is two feet less than the width of the floor. If the area of the carpet is 160 sq. feet, what is the length, in feet, of the floor?
8
16
20
24
32
The length of one edge of a cube equals 4. What is the distance between the center of the cube and one of its vertices?
4√2
3√2
2√3
3√3
5√3
