tricks to solve problems
cube tricks:
0 sides painted = (n-2)^3 where n is number blocks on one row or column of the cube1 sides painted = 6(n - 2)^2
2 sides painted = 12(n - 2)
3 sides painted = 8 (eight painted cubes are the 8 corners )
clock tricks:
Angle between X and Y =[(X*30)-((Y*11)/2)] where X is hour and Y is minute
Each hour number evenly and equally separated by five minute divisions = 5 * 6° = 30° apart.
In one minute, the minute hand moves 6°.
In one minute, the hour hand moves 1/2°.
In one minute, the minute hand gains 5½° more than hour hand.
In every hour, both the hands coincide means 0° apart. In fact, if both the hands start moving together from the same position, both the hands will coincide after 65 5/11 minutes.
If the two hands coincide in time less than 65 5/11 minutes, then the clock is too fast.
If the two hands coincide in time more than 65 5/11 minutes, then the clock is too slow.
The two hands of a clock coincide 11 times in 12 hours.
The two hands of a clock coincide 22 times in a day.
In 60 minutes, the minute hand gains 55 minutes on the hour on the hour hand.
In every hour, both the hands coincide once.
Each hour number evenly and equally separated by five minute divisions = 5 * 6° = 30° apart.
In one minute, the minute hand moves 6°.
In one minute, the hour hand moves 1/2°.
In one minute, the minute hand gains 5½° more than hour hand.
In every hour, both the hands coincide means 0° apart. In fact, if both the hands start moving together from the same position, both the hands will coincide after 65 5/11 minutes.
If the two hands coincide in time less than 65 5/11 minutes, then the clock is too fast.
If the two hands coincide in time more than 65 5/11 minutes, then the clock is too slow.
The two hands of a clock coincide 11 times in 12 hours.
The two hands of a clock coincide 22 times in a day.
In 60 minutes, the minute hand gains 55 minutes on the hour on the hour hand.
In every hour, both the hands coincide once.
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