Find the angle, the area, the trick
Imagine a rope wrapped tightly around the equator of the Earth (treat Earth as a perfect sphere). You add exactly 1 metre of extra length to the rope and lift it uniformly off the surface. About how high above the ground is the rope now?
On a standard analog clock, what is the angle (in degrees) between the hour hand and the minute hand at exactly 3:15?
You have a circular pizza and a single straight knife. With n straight cuts (each going all the way across), what is the maximum number of pieces you can produce?
An ant sits at one corner of a 1×1×1 cube and wants to reach the diagonally opposite corner, but it can only walk along the surface of the cube. What is the shortest path length?
A right triangle has legs of length 3 and 4 (and hypotenuse 5). What is the radius of the largest circle that fits inside it (the inscribed circle)?