Try this beautiful problem from Geometry based on Rectangle Pattern from AMC 10A, 2016, Problem 10. Rectangle Pattern- AMC-10A, 2016- Problem 10 A rug is made with three different colors as shown. The areas of the three differently colored regions form an arithmetic...

Try this beautiful problem from Geometry based on ratio of Circles from AMC 10A, 2009, Problem 21. Ratio of Circles – AMC-10A, 2009- Problem 21 Many Gothic cathedrals have windows with portions containing a ring of congruent circles that are circumscribed by a...

Try this beautiful problem from Algebra based on Quadratic Equation…. Quadratic equation – AMC-10A, 2005- Problem 10 There are two values of $a$ for which the equation $4 x^{2}+a x+8 x+9=0$ has only one solution for $x$. What is the sum of those values of...

Try this beautiful problem from AMC 10A, 2005 based on Probability in Game. Probability in Game – AMC-10A, 2005- Problem 18 Team A and team B play a series. The first team to win three games wins the series. Each team is equally likely to win each game, there...

Try this beautiful problem from Geometry: Area of the inner square Area of Inner Square – AMC-10A, 2005- Problem 8 In the figure, the length of side $AB$ of square $ABCD$ is $\sqrt{50}$ and $BE=1$. What is the area of the inner square $EFGH$? \(25\)\(32\) \(36\)...

Try this beautiful problem from Geometry: Area of Triangle and Quadrilateral Ratios of the areas of Triangle and Quadrilateral – AMC-10A, 2005- Problem 25 In $ABC$ we have $AB = 25$, $BC = 39$, and $AC=42$. Points $D$ and $E$ are on $AB$ and $AC$ respectively,...