**I**Draw the face of a clock numbered with roman numerals in the usual way. Explain how to draw 4 rays radiating from the center such that the sum of the numerals in each sector is 20.

**II** At what time are the two hands of a clock situated so that, reckoning in minutes from XII, one is exactly the square of the distance of the other?

**III** At what time between three and four o’clock is the minute hand the same distance from VIII as the hour hand is from XII?