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Test your basic knowledge |
GRE Math: Geometry
Start Test
Study First
Subjects
:
gre
,
math
,
geometry
Instructions:
Answer 45 questions in 15 minutes.
If you are not ready to take this test, you can
study here
.
Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.
This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.
1. Volume of a cube
Edge³
180°
Straight Angle
Do not have slopes!
2. The surface area of a cynlinder plus top and bottom
360°
Straight Angle
45 45 90 Right triangles (x - x - x*square root of 2)
2(pi)rh+2(pi)r²
3. Formula for the surface area of a cube
Square (versus a rectangle)
6e²
360°
Do not have slopes!
4. For any given perimeter - the rectangle with the largest AREA is a
N-2
P=2(l+w)
Square (versus a rectangle)
2(pi)rh
5. The consecutive angles in a parallelogram equal
180°
6e²
Negative
(n-2) x 180
6. In a Rectangle - each angles measures
A=½(base1+base2)(height)
360°
90°
Square (versus a rectangle)
7. Vertical lines
360°
Do not have slopes!
L²+w²+h²=d²
N-2
8. In a Regular Polygon - the measure of each exterior angle
360°
Do not have slopes!
360/n
(pi)r²
9. Area of a Rectangle:
(pi)r²h
A=(side)² or A=½(diagonal)²
P=4s (s=side)
Negative
10. In any Regular Polygon - the measure of each interior angle
Edge³
A=(side)² or A=½(diagonal)²
(n-2)x180/n
Straight Angle
11. Surface area of a rectangular solid
2(lw+lh+wh)
(pi)r²
Parallelogram
y2-y1/x2-x1
12. If an arc measures x - the length of the arc is
y2-y1/x2-x1
x/360 x 2(pi)r or x/360 x C
180
360°
13. If you measure all exterior angles in a polygon - they all equal
True
360°
(pi)r²h
360/n
14. The Perimeter of a Square
Do not have slopes!
360°
P=4s (s=side)
(n-2) x 180
15. In any polygon - all external angles equal up to
zero
P=2(l+w)
Edge³
360°
16. Slope of any line that goes up from left to right
Circumference/diameter c/d
Straight Angle
A=½(base1+base2)(height)
Positive
17. Area of a circle
360°
(pi)r²
L²+w²+h²=d²
90°
18. If a pair of parallel lines is cut by a transversal that'S not perpendicular - the sum of any acute angle and any obtuse angle is
(n-2)x180/n
360°
4/3(pi)r³
180
19. The sum of the angles in a quadrilateral is
Circumference/diameter c/d
360°
45 45 90 Right triangles (x - x - x*square root of 2)
Positive
20. Circumference of a circle
Pi(diameter)
6e²
Straight Angle
L²+w²+h²=d²
21. If one of the angles formed by an intersection is right - they'Re all right
Square (versus a rectangle)
A=(base)(height)
x/360 x (pi)r² or x/360 x A
True
22. Distance Formula
D=Square root of (x2-x1)²+(y2-y1)²
P=2(l+w)
45 45 90 Right triangles (x - x - x*square root of 2)
(pi)r²h
23. Formula for a diagonal
360°
180
L²+w²+h²=d²
Circumference/diameter c/d
24. Volume of a Sphere
360°
2(lw+lh+wh)
4/3(pi)r³
P=2(l+w)
25. For any given Area - the rectangle with the smallest perimeter is a
zero
45 45 90 Right triangles (x - x - x*square root of 2)
Positive
Square (versus a rectangle)
26. Area of a Parallelogram:
Straight Angle
Parallelogram
A=(base)(height)
90°
27. In a rectangle - all angles are
Positive
2(pi)r
4/3(pi)r³
Right
28. Each diagonal divides a square into 2
2(pi)r
(n-2)x180/n
360°
45 45 90 Right triangles (x - x - x*square root of 2)
29. Volume of a rectangular solid
(n-2) x 180
(length)(width)(height)
Straight Angle
Pi(diameter)
30. Any n-sided polygon can be divided into how many triangles? (by drawing diagonals from one vertical)
(pi)r²
N-2
x/360 x (pi)r² or x/360 x A
360/n
31. Volume of a Cylinder
x/360 x (pi)r² or x/360 x A
(length)(width)(height)
360°
(pi)r²h
32. An Angle that'S 180°
45 45 90 Right triangles (x - x - x*square root of 2)
D=Square root of (x2-x1)²+(y2-y1)²
A=½(base1+base2)(height)
Straight Angle
33. Pi
2(pi)rh
Isosceles Trapezoid
Circumference/diameter c/d
6e²
34. What kind of trapezoid has equal parallel sides?
L²+w²+h²=d²
360/n
4/3(pi)r³
Isosceles Trapezoid
35. Surface area of a cylinder
2(pi)rh
Circumference/diameter c/d
360°
N-2
36. The sum of the measures of the n angles in a polygon with n sides
True
Pi(diameter)
(n-2) x 180
Square (versus a rectangle)
37. The area of a sector formed by an arc and 2 radii
x/360 x (pi)r² or x/360 x A
Isosceles Trapezoid
2(lw+lh+wh)
Negative
38. Area of a Trapezoid:
(pi)r²
A=½(base1+base2)(height)
Do not have slopes!
P=4s (s=side)
39. Slope
A=(side)² or A=½(diagonal)²
A=½(base1+base2)(height)
y2-y1/x2-x1
180°
40. The Perimeter of a rectangle
Square (versus a rectangle)
P=2(l+w)
Pi(diameter)
x/360 x (pi)r² or x/360 x A
41. The sum of all angles around a point
(n-2)x180/n
Parallelogram
zero
360°
42. Circumference of a circle
A=(side)² or A=½(diagonal)²
Do not have slopes!
Parallelogram
2(pi)r
43. Any Horizontal line slope
zero
P=2(l+w)
y2-y1/x2-x1
(pi)r²
44. A quadrilateral where two diagonals bisect each other
Positive
90°
Parallelogram
(n-2)x180/n
45. Slope of any line that goes down as you move from left to right is
Positive
360°
Pi(diameter)
Negative