PROBLEMS WITH CLOCKS

Time is determining the course of our lives. Clocks have become an integral part of our existence. Here is an opportunity to solve some problems dealing with clocks.

1. DIVIDE A CLOCK'S FACE

A) Divide the clock’s face with one line in such a way that the sum of the numbers on both sides is equal.
B) Divide the clock’s face with two lines in such a way that the sum of the numbers in all three fields is equal.
C) Divide the clock’s face with five lines in such a way that the sum of numbers in all six fields is equal.

2. A CLOCK'S HANDS

During 12 hours, how many times will the minute hand and the hour hand line up?

3. STRIKING DIFFERENT HOURS

If it takes 6 seconds for a clock to strike 6 o’clock, how long will it take for the clock to strike 12 o’clock?

4. TOWN CLOCKS

One day, three clock towers in a city struck 12 at exactly the same time. It was almost unbelievable since one of the clocks loses 12 minutes each day, one gains 10 minutes each day, and the third keeps perfect time. How many days until all three clocks strike 12 at the same time again?