GRE MATH WITH COMPLETE
SOLUTIONS
The sum of the angles in a quadrilateral is - correct answers-360°
Any n-sided polygon can be divided into how many triangles? (by drawing diagonals
from one vertical) - correct answers-n-2
The sum of the measures of the n angles in a polygon with n sides - correct answers-(n-
2) x 180
In any polygon, all external angles equal up to - correct answers-360°
If you measure all exterior angles in a polygon, they all equal - correct answers-360°
In any Regular Polygon, the measure of each interior angle - correct answers-(n-
2)x180/n
In a Regular Polygon, the measure of each exterior angle - correct answers-360/n
The consecutive angles in a parallelogram equal - correct answers-180°
A quadrilateral where two diagonals bisect each other - correct answers-Parallelogram
In a rectangle, all angles are - correct answers-Right
In a Rectangle, each angles measures - correct answers-90°
Each diagonal divides a square into 2 - correct answers-45 45 90 Right triangles (x, x,
x*square root of 2)
What kind of trapezoid has equal parallel sides? - correct answers-Isosceles Trapezoid
The Perimeter of a rectangle - correct answers-P=2(l+w)
The Perimeter of a Square - correct answers-P=4s (s=side)
Area of a Parallelogram: - correct answers-A=(base)(height)
Area of a Rectangle: - correct answers-A=(side)² or A=½(diagonal)²
, Area of a Trapezoid: - correct answers-A=½(base₁+base₂)(height)
For any given perimeter, the rectangle with the largest AREA is a - correct answers-
Square (versus a rectangle)
For any given Area, the rectangle with the smallest perimeter is a - correct answers-
Square (versus a rectangle)
(x-y)(x+y) - correct answers-x²-y²
(x-y)² - correct answers-x²-2xy+y²
(x+y)² - correct answers-x²+2xy+y²
An Angle that's 180° - correct answers-Straight Angle
The sum of all angles around a point - correct answers-360°
If one of the angles formed by an intersection is right, they're all right - correct answers-
True
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 - correct answers-180
Distance - correct answers-(rate)(time) d=rt
Rate - correct answers-d/t (distance)/(time)
Time - correct answers-(distance)/(rate) d/r
Average - correct answers-Sum/n
Sum of numbers in an average - correct answers-n/Average
The total deviation below the average is equal to - correct answers-The total deviation
above the average (80, 90, 90, 90, 100)
Assume that the average of a set of numbers is A. If a number x is added to the set and
a new average is calculated, then the new average will be less than, equal to, or greater
than A, depending on whether x is less than, equal to , or greater than A, respectfully. -
correct answers-1+2+3/3=2 1+2+3+4/4=10/4=2.5
If "n" is even, the average of the numbers is the average of what? - correct answers-The
middle two terms (10, 20, 30, 40, 50, 60) 30+40/2=35
SOLUTIONS
The sum of the angles in a quadrilateral is - correct answers-360°
Any n-sided polygon can be divided into how many triangles? (by drawing diagonals
from one vertical) - correct answers-n-2
The sum of the measures of the n angles in a polygon with n sides - correct answers-(n-
2) x 180
In any polygon, all external angles equal up to - correct answers-360°
If you measure all exterior angles in a polygon, they all equal - correct answers-360°
In any Regular Polygon, the measure of each interior angle - correct answers-(n-
2)x180/n
In a Regular Polygon, the measure of each exterior angle - correct answers-360/n
The consecutive angles in a parallelogram equal - correct answers-180°
A quadrilateral where two diagonals bisect each other - correct answers-Parallelogram
In a rectangle, all angles are - correct answers-Right
In a Rectangle, each angles measures - correct answers-90°
Each diagonal divides a square into 2 - correct answers-45 45 90 Right triangles (x, x,
x*square root of 2)
What kind of trapezoid has equal parallel sides? - correct answers-Isosceles Trapezoid
The Perimeter of a rectangle - correct answers-P=2(l+w)
The Perimeter of a Square - correct answers-P=4s (s=side)
Area of a Parallelogram: - correct answers-A=(base)(height)
Area of a Rectangle: - correct answers-A=(side)² or A=½(diagonal)²
, Area of a Trapezoid: - correct answers-A=½(base₁+base₂)(height)
For any given perimeter, the rectangle with the largest AREA is a - correct answers-
Square (versus a rectangle)
For any given Area, the rectangle with the smallest perimeter is a - correct answers-
Square (versus a rectangle)
(x-y)(x+y) - correct answers-x²-y²
(x-y)² - correct answers-x²-2xy+y²
(x+y)² - correct answers-x²+2xy+y²
An Angle that's 180° - correct answers-Straight Angle
The sum of all angles around a point - correct answers-360°
If one of the angles formed by an intersection is right, they're all right - correct answers-
True
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 - correct answers-180
Distance - correct answers-(rate)(time) d=rt
Rate - correct answers-d/t (distance)/(time)
Time - correct answers-(distance)/(rate) d/r
Average - correct answers-Sum/n
Sum of numbers in an average - correct answers-n/Average
The total deviation below the average is equal to - correct answers-The total deviation
above the average (80, 90, 90, 90, 100)
Assume that the average of a set of numbers is A. If a number x is added to the set and
a new average is calculated, then the new average will be less than, equal to, or greater
than A, depending on whether x is less than, equal to , or greater than A, respectfully. -
correct answers-1+2+3/3=2 1+2+3+4/4=10/4=2.5
If "n" is even, the average of the numbers is the average of what? - correct answers-The
middle two terms (10, 20, 30, 40, 50, 60) 30+40/2=35
