The shaded rectangle is tangent to the circle at the two points indicated, and its bottom right corner lies on the circumference of that circle. What is the area of the rectangle?Continue reading “Area of the Rectangle”
Form four lines of four coins by moving exactly 3 of the coins below:
- Coins cannot be stacked on top of one another.
- A line of five or more coins is still only considered one line.
- The centers of the coins must be precisely on the same straight line, but can be anywhere on the line.
- Lines can be any length, and can be horizontal, vertical, or diagonal.
Above are two identical isosceles right triangles containing two inscribed squares.
In one, a perfect square has been inscribed such that two sides line up with the two legs of the right triangle. In the other, a perfect square has been inscribed such that one side lines up with the hypotenuse of the right triangle.
Is the inscribed square on the left larger or the one on the right?Continue reading “Inscribed Squares”
In this maze, you must alternate going through blue and red doors – in other words, you cannot go through two blue doors in a row or two red doors in a row.
Entering through the blue door in the top left, can you find your way through the maze and exit through the red door in the top right?Continue reading “Blue and Red Maze”