Understanding Angles on an Analog Clock

The video tutorial explains how to calculate the angle between the hour and minute hands on an analog clock. It provides examples for different times, such as 12:30, 1:20, 11:15, and 10:25, demonstrating the step-by-step process of determining the angles. The tutorial emphasizes understanding the relationship between time and angles, using fractions to find precise positions of the hour hand, and calculating both the shorter and longer angles between the clock hands.

What is the angle between the hour and minute hands at 12:30?

• 165 degrees

• 180 degrees

• 150 degrees

• 90 degrees

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CCSS.4.MD.C.5B

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How many degrees does each hour represent on a clock?

• 15 degrees

• 30 degrees

• 60 degrees

• 45 degrees

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At 12:30, where is the hour hand positioned?

• Exactly at 6

• Between 12 and 1

• Exactly at 1

• Exactly at 12

For the time 1:20, what fraction of the hour has passed?

• 1/2

• 2/3

• 1/3

• 1/4

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What is the angle between the hour and minute hands at 1:20?

• 80 degrees

• 100 degrees

• 60 degrees

• 120 degrees

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At 11:15, what fraction of the hour has passed?

• 1/2

• 3/4

• 1/4

• 1/3

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What is the angle between the hour and minute hands at 11:15?

• 150 degrees

• 90 degrees

• 112.5 degrees

• 135 degrees

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CCSS.4.MD.C.5B

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At 10:25, what is the shortest angle between the hour and minute hands?

• 150 degrees

• 162.5 degrees

• 180 degrees

• 175 degrees

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CCSS.4.MD.C.5B

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How do you calculate the longer angle between the hands at 10:25?

• Add 180 to the shorter angle

• Multiply the shorter angle by 2

• Divide the shorter angle by 2

• Subtract the shorter angle from 360

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What is the longer angle between the hour and minute hands at 10:25?

• 210 degrees

• 202.5 degrees

• 197.5 degrees

• 215 degrees

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CCSS.HSG.SRT.C.8