How to find the angle of clock hands

Practice Questions

ACT Math › How to find the angle of clock hands

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1

How many degrees are in each hour-long section of an analog clock with 8 equally spaced numbers on the face?

2

What is the measure, in degrees, of the acute angle formed by the hands of a 12-hour clock that reads exactly 3:10?

3

What is the angle between the clock hands when the clock reads 6:30?

4

It is 4 o’clock. What is the measure of the angle formed between the hour hand and the minute hand?

5

What is the angle of the major arc between the minute and hour hands of a clock reading ? Assume a display (not a military clock).

6

What is the measure of the angle between the hands of a clock at ? (compute the angle going clockwise from the hour hand to the minute hand)

7

What is the angle of the major arc between the minute and hour hands of a clock reading ? Assume ab display (not a military clock).

8

A watch's hands move from to . What total angular distance does the minute hand move?

9

Using the 8 hour analog clock from question 1 (an analog clock with 8 evenly spaced numbers on its face, with 8 where 12 normally is), what is the angle between the hands at 1:30? (Note: calculate the smaller angle, the one going between the hour and minute hand in a clockwise direction.)

10

On a standard analog clock, what is the angle between the hands when the clock reads ? Give the smaller of the two angles.

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