Section C Practice Problems

Problem 1

  1. Han says this clock shows 2:16 p.m. Do you agree with Han? Explain your reasoning.

    Analog clock showing time.

  2. Draw the hands on this clock to show 5:55 p.m.

    Analog clock.

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Solution
  1. No. Sample response: The minute hand does show 16, but the hour hand is between 1 and 2, so this clock shows 1:16.
Analog clock.

Problem 2

Mai left to walk the dog at 6:50 a.m., and she returned at 7:44 a.m. How much time did Mai spend walking the dog?

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Solution

54 minutes. Sample response: It’s 10 minutes until 7:00 a.m. and then 44 minutes until 7:44 a.m. so that’s 54 minutes altogether.

Problem 3

Andre started soccer practice at 3:45 p.m. He left school 75 minutes before practice started.

  1. Draw hands on the clock to show the time Andre left school.
  2. Andre was at soccer practice for 110 minutes. What time did soccer practice end? Explain or show your reasoning.

Analog clock with no hands.

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Solution
  1.  
    Analog clock.

  2. 5:35 p.m. Sample response: Since 60 minutes later is 4:45 p.m., another 15 minutes makes it 5:00 p.m. That leaves 110−75110 - 75 or 35 more minutes, which is 5:35.

Problem 4

  1. What time do you usually go to bed at night?

  2. What time do you usually get up in the morning?

  3. How many minutes do you spend in bed? Explain or show your reasoning.
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Solution

Sample responses:

  1. 8:35 p.m.
  2. 6:50 a.m.
  3. I counted the hours first and it is 9, 10, 11, 12, 1, 2, 3, 4, 5, 6 so that is 10 hours and that makes it 6:35 a.m. and it's 15 more minutes to get to 6:50 a.m. There are 60 minutes in an hour so I added 60 ten times to get 600. I was in bed for 615 minutes.

Problem 5

Priya drew the hands on this clock to show 3:15.

Do you think Priya’s drawing is accurate? Explain or show your reasoning.

Analog clock showing time.

Show Solution
Solution

Sample responses:

  • Yes, the minute hand is pointing at the 3 which is 15 minutes after the hour. The hour hand is between 3 and 4 and closer to 3 than 4, so this is reasonable.
  • No, the minute hand is pointing in the right place, to the 3 which is 15 minutes after the hour. But 15 minutes is 14\frac{1}{4} of an hour and the hour hand is pointing to the 17, which is almost halfway from the 3 to the 4. The hour hand should be closer to the 16 than the 17, like this:
Analog clock.