Clock Problems

Problem 1:

In how many minutes after 7 o'clock will the hands be directly opposite each other for the first time?

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Problem 2:

What time after 3 o'clock will the hands of the clock be together for the first time?

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Problem 3:

At what time after 12:00 will the hour hand and minute hand of the clock first form an angle of 120º?

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Problem 4:

At this moment, the hands of a clock in the course of a normal operation describe a time somewhere between 4:00 and 5:00 on a standard clock face. Within one hour or less, the hands will have exactly changed positions. What time is it now?

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Problem 5:

The hands of a clock show 7:10. What is the measure, in radians, of the smaller angle formed between the hour and minute hands?

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Problem 6:

What time between 2 and 3 o'clock will the angle between the hands of the clock be bisected by the line connecting the center of the clock and the 3 o'clock mark? Ans. 2:18:27.6

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Problem 7:

Refer to the image shown:

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Problem 8:

Refer to the image shown:

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