GRE Math Questions & Answers

The sum of the angles in a quadrilateral is – ANS 360°
Any n-sided polygon can be divided into how many triangles? (by drawing
diagonals from one vertical) – ANS n-2
The sum of the measures of the n angles in a polygon with n sides – ANS (n-2) x
180
In any polygon, all external angles equal up to – ANS 360°
If you measure all exterior angles in a polygon, they all equal – ANS 360°
In any Regular Polygon, the measure of each interior angle – ANS (n-2)x180/n
In a Regular Polygon, the measure of each exterior angle – ANS 360/n
The consecutive angles in a parallelogram equal – ANS 180°
A quadrilateral where two diagonals bisect each other – ANS Parallelogram
1 / 3
In a rectangle, all angles are – ANS Right
In a Rectangle, each angles measures – ANS 90°
Each diagonal divides a square into 2 – ANS 45 45 90 Right triangles (x, x,
x*square root of 2)
What kind of trapezoid has equal parallel sides? – ANS Isosceles Trapezoid
The Perimeter of a rectangle – ANS P=2(l+w)
The Perimeter of a Square – ANS P=4s (s=side)
Area of a Parallelogram: – ANS A=(base)(height)
Area of a Rectangle: – ANS A=(side)² or A=½(diagonal)²
Area of a Trapezoid: – ANS A=½(base₁+base₂)(height)
For any given perimeter, the rectangle with the largest AREA is a – ANS Square
(versus a rectangle)
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For any given Area, the rectangle with the smallest perimeter is a – ANS Square
(versus a rectangle)
(x-y)(x+y) – ANS x²-y²
(x-y)² – ANS x²-2xy+y²
(x+y)² – ANS x²+2xy+y²
An Angle that’s 180° – ANS Straight Angle
The sum of all angles around a point – ANS 360°
If one of the angles formed by an intersection is right, they’re all right – ANS
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 – ANS 180
Distance – ANS (rate)(time) d=rt
Rate – ANS d/t (distance)/(time)

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