Grade 4 Mixed Word Problems Worksheet from K5 Learning.

Problem 1:

Question: Liam usually gets up at 7:35 a.m. Since he was sick, he got up 1 hour and 35 minutes later than usual. What did he get up?

#### Solution:
1. Start with Liam's usual wake-up time: 7:35 a.m.
2. Add the extra time he slept due to being sick: 1 hour and 35 minutes.
- Adding 1 hour to 7:35 a.m. gives 8:35 a.m.
- Adding an additional 35 minutes to 8:35 a.m. gives 9:10 a.m.

Thus, Liam got up at 9:10 a.m..

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Problem 2:

Question: Liam has some painkillers at home for his headache and fever. There are 36 tablets left in the bottle, and he is supposed to take 2 tablets at a time, 4 times a day. How many tablets will be left after one day? How many days before he runs out of tablets?

#### Solution:
1. Calculate the number of tablets Liam takes per day:
- Liam takes 2 tablets at a time.
- He takes this dose 4 times a day.
- Total tablets per day = \( 2 \times 4 = 8 \) tablets.

2. Calculate the number of tablets left after one day:
- Initially, there are 36 tablets.
- After one day, he uses 8 tablets.
- Tablets left after one day = \( 36 - 8 = 28 \) tablets.

3. Calculate how many days it will take for him to run out of tablets:
- Total tablets available = 36.
- Tablets used per day = 8.
- Number of days before running out = \( \frac{36}{8} = 4.5 \) days.
- Since Liam cannot use half a day's worth of tablets, he will run out after 4 full days, with some tablets remaining on the 5th day.

Thus, after one day, 28 tablets will be left, and Liam will run out of tablets in 4.5 days.

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Problem 3:

Question: Liam went to the doctor. There are 8 patients waiting. The nurse told him it will be his turn after 2 hours. How many minutes would the doctor use to see each patient?

#### Solution:
1. Convert the total waiting time into minutes:
- Liam is told he will wait 2 hours.
- Since 1 hour = 60 minutes, 2 hours = \( 2 \times 60 = 120 \) minutes.

2. Determine the number of patients ahead of Liam:
- There are 8 patients waiting, and Liam is next after these 8 patients.
- Therefore, the doctor needs to see 8 patients in 120 minutes.

3. Calculate the time spent per patient:
- Total time for 8 patients = 120 minutes.
- Time per patient = \( \frac{120}{8} = 15 \) minutes.

Thus, the doctor spends 15 minutes seeing each patient.

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Final Answers:

1. Liam got up at 9:10 a.m.
2. After one day, 28 tablets will be left, and Liam will run out of tablets in 4.5 days.
3. The doctor spends 15 minutes seeing each patient.

Boxed Answers:
\[
\boxed{9:10 \text{ a.m., 28 tablets, 4.5 days, 15 minutes}}
\]