Try this GRE quantitative comparison question on geometry that tests your understanding of how the right angle of a triangle changes when the dimensions of the legs are changed.

$\textrm{Note: Figure not drawn to scale}$
$\begin{array}{c c c c c c c c c c c}
& & & & & & \underline{\textrm{Quantity A}} & & & & \underline{\textrm{Quantity B}} \\
& & & & & & & & & & \\
& & & & & & x & & & & 90\\
\end{array}$

1. $\quad \textrm{Quantity A is greater.}$
2. $\quad \textrm{Quantity B is greater.}$
3. $\quad \textrm{The two quantities are equal.}$
4. $\quad \textrm{The relationship cannot be determined from the information given.}$

 

 
Try this GRE math practice question that tests your understanding of relationship between the length of an edge of a square inscribed in a circle and the radius of the circle.

Question#67: If a square is inscribed in a circle of radius $r$ as shown below, then the area of the shaded region is

1. $\quad r^2\left(\pi \; – \, \dfrac{1}{2\pi}\right) $
2. $\quad r^2\left(\pi-\dfrac{1}{2}\right) $
3. $\quad \dfrac{\pi r^2}{2} $
4. $\quad r^2(\pi-1) $
5. $\quad r^2(\pi-2) $

 

 
Try this GRE question that tests your understanding of the equation of straight lines and the area of triangle in the $xy$-coordinate plane.

A vertical line divides the triangle with vertices $(0, 0), (1,1)$ and $(9, 1)$ in the $xy-$plane into two regions of equal area. The equation of the line is $x=$

1. $\quad 2.5 $
2. $\quad 3.0 $
3. $\quad 3.5 $
4. $\quad 4.0 $
5. $\quad 4.5 $