Do you know the math in the clock? Let's study it together. (1) The minute hand walks for 5 minutes and rotates _ _ _ _ _ _ _ degrees. What about minutes?

Solution: (1) Walk for 5 minutes and rotate 30 degrees in one minute, then the rotation speed of this minute is 6 degrees/minute;

(2) When the clock moves clockwise 1 hour and rotates 30 degrees, the rotation speed of the clock is 0.5 degrees/minute;

(3) Suppose that when 1 point x is divided, the minute hand coincides with the hour hand.

Then 0.5x+30 = 6x,

The solution is x = 5.

So after 5 minutes, the hour hand and the minute hand will coincide for the first time.

(4) Assuming that the minute hand and the hour hand coincide at 10 point y,

Then 0.5y+300 = 6x,

The answer is y = 54.

So after 54 minutes, the hour hand and the minute hand will coincide for the first time.

So, the answer is: 30, 6; 30,0.5; 30; 54 .