Visualize a cube. You know it has 6 faces, 8 corners, and 12 edges. Now, imagine a knife slicing away each corner with a straight plane cut. How many total edges are there now?
There are 20 points arranged in a cross pattern shown below. How many squares can be drawn, using any 4 points as corners?
There are n lines in a plane ( may or may not be concurrent ) . Find out the maximum and the least number of regions that can be formed ?
Using points, straight lines, and possibly the curve of a parabola, construct a piecewise function whose graph looks like a smiling face.
