Rectangle Pattern | AMC-10A, 2016 | Problem 10

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...

Ratio of Circles | AMC-10A, 2009 | Problem 21

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...

Quadratic Equation Problem | AMC-10A, 2005 | Problem 10

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...

Probability in Game | AMC-10A, 2005 | Problem 18

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...

Area of the Inner Square | AMC-10A, 2005 | Problem 8

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 $EFGH$? \(25\)\(32\) \(36\)...

Triangle and Quadrilateral | AMC-10A, 2005 | Problem 25

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,...