Math word problems worksheet for middle school students.

Let's solve each problem step by step:

---

Problem 1:

During the summer holidays, your brother earns extra money moving lawns. He mows 6 lawns an hour and has 21 lawns to now. How long will it take him?

#### Solution:
- Your brother mows 6 lawns per hour.
- He has 21 lawns to mow.
- To find the time required, divide the total number of lawns by the rate at which he mows:
\[
\text{Time} = \frac{\text{Total Lawns}}{\text{Lawns per Hour}} = \frac{21}{6}
\]
- Simplify the fraction:
\[
\frac{21}{6} = 3.5 \text{ hours}
\]

#### Answer:
\[
\boxed{3.5 \text{ hours}}
\]

---

Problem 2:

For the Good Cheer food drive, your class collected 320 cans of food. Each family gets 40 cans of food. How many cartons will you need to pack them?

#### Solution:
- The class collected 320 cans of food.
- Each family gets 40 cans.
- To find the number of families (or cartons needed), divide the total number of cans by the number of cans per family:
\[
\text{Number of Cartons} = \frac{\text{Total Cans}}{\text{Cans per Family}} = \frac{320}{40}
\]
- Simplify the division:
\[
\frac{320}{40} = 8
\]

#### Answer:
\[
\boxed{8}
\]

---

Problem 3:

You bought your twin sister Molli 3 gifts costing $24 each and your other twin sister Mary 5 gifts each costing $18. How much money did you spend on Molli and Mary?

#### Solution:
- For Molli:
- You bought 3 gifts.
- Each gift costs $24.
- Total cost for Molli:
\[
3 \times 24 = 72 \text{ dollars}
\]

- For Mary:
- You bought 5 gifts.
- Each gift costs $18.
- Total cost for Mary:
\[
5 \times 18 = 90 \text{ dollars}
\]

- Total amount spent on both sisters:
\[
72 + 90 = 162 \text{ dollars}
\]

#### Answer:
\[
\boxed{162}
\]

---

Problem 4:

6 of the classes at your school are going to the pool for a swimming party. That means 125 students need to get on buses and each bus holds 48 students. How many buses will the school need?

#### Solution:
- There are 125 students going to the pool.
- Each bus can hold 48 students.
- To find the number of buses needed, divide the total number of students by the capacity of each bus:
\[
\text{Number of Buses} = \frac{\text{Total Students}}{\text{Students per Bus}} = \frac{125}{48}
\]
- Perform the division:
\[
\frac{125}{48} \approx 2.604
\]
- Since you cannot have a fraction of a bus, round up to the nearest whole number. This means you need 3 buses to accommodate all 125 students.

#### Answer:
\[
\boxed{3}
\]

---

Problem 5:

The mean average of the following 4 math marks will become your report card mark: 97, 78, 84, and 86. What will your report card mark be?

#### Solution:
- The formula for the mean (average) is:
\[
\text{Mean} = \frac{\text{Sum of All Marks}}{\text{Number of Marks}}
\]
- The given marks are: 97, 78, 84, 86.
- First, calculate the sum of the marks:
\[
97 + 78 + 84 + 86 = 345
\]
- There are 4 marks, so divide the sum by 4:
\[
\text{Mean} = \frac{345}{4} = 86.25
\]

#### Answer:
\[
\boxed{86.25}
\]

---

Problem 6:

Your mom bought you a 1 year swimming pass for $390. She’s making 12 payments of how much money to pay for the pass?

#### Solution:
- The total cost of the swimming pass is $390.
- Your mom is making 12 equal payments.
- To find the amount of each payment, divide the total cost by the number of payments:
\[
\text{Payment Amount} = \frac{\text{Total Cost}}{\text{Number of Payments}} = \frac{390}{12}
\]
- Perform the division:
\[
\frac{390}{12} = 32.5
\]

#### Answer:
\[
\boxed{32.5}
\]

---

Final Answers:

1. \(\boxed{3.5 \text{ hours}}\)
2. \(\boxed{8}\)
3. \(\boxed{162}\)
4. \(\boxed{3}\)
5. \(\boxed{86.25}\)
6. \(\boxed{32.5}\)