Decimal word problems worksheet for practicing math skills with real-life scenarios.

Let's solve each problem step by step:

---

Problem 1:

Aaron scored 452.65 marks out of 600 in the final examination. How many marks did he lose?

#### Solution:
To find how many marks Aaron lost, we need to subtract the marks he scored from the total marks.

\[
\text{Marks lost} = \text{Total marks} - \text{Marks scored}
\]

\[
\text{Marks lost} = 600 - 452.65
\]

Perform the subtraction:

\[
600.00 - 452.65 = 147.35
\]

So, Aaron lost 147.35 marks.

#### Final Answer:
\[
\boxed{147.35}
\]

---

Problem 2:

Trisha took 3.25 minutes to complete the race and Rachel took 3.207 minutes to complete the race. Who won the race?

#### Solution:
The person who completes the race in the least time wins. We compare the times taken by Trisha and Rachel:

- Trisha's time: 3.25 minutes
- Rachel's time: 3.207 minutes

Since 3.207 is less than 3.25, Rachel completed the race in less time.

#### Final Answer:
\[
\boxed{\text{Rachel}}
\]

---

Problem 3:

A car travels 367.80 km in 6 hours. How much distance will it travel in 1 hour?

#### Solution:
To find the distance traveled in 1 hour, we divide the total distance by the total time.

\[
\text{Distance per hour} = \frac{\text{Total distance}}{\text{Total time}}
\]

\[
\text{Distance per hour} = \frac{367.80}{6}
\]

Perform the division:

\[
367.80 \div 6 = 61.30
\]

So, the car travels 61.30 km in 1 hour.

#### Final Answer:
\[
\boxed{61.30}
\]

---

Problem 4:

The weight of a box is 150.094 kg. What will be the weight of 27 such boxes?

#### Solution:
To find the total weight of 27 boxes, we multiply the weight of one box by 27.

\[
\text{Total weight} = \text{Weight of one box} \times \text{Number of boxes}
\]

\[
\text{Total weight} = 150.094 \times 27
\]

Perform the multiplication:

\[
150.094 \times 27 = 4052.538
\]

So, the total weight of 27 boxes is 4052.538 kg.

#### Final Answer:
\[
\boxed{4052.538}
\]

---

Problem 5:

A spool of thread has a thread measuring 86.50 m. If 42.33 m thread has been cut, what length of thread is still left in the spool?

#### Solution:
To find the remaining length of thread, we subtract the length of thread cut from the total length.

\[
\text{Remaining length} = \text{Total length} - \text{Length cut}
\]

\[
\text{Remaining length} = 86.50 - 42.33
\]

Perform the subtraction:

\[
86.50 - 42.33 = 44.17
\]

So, the length of thread still left in the spool is 44.17 m.

#### Final Answer:
\[
\boxed{44.17}
\]

---

Final Answers:

1. \(\boxed{147.35}\)
2. \(\boxed{\text{Rachel}}\)
3. \(\boxed{61.30}\)
4. \(\boxed{4052.538}\)
5. \(\boxed{44.17}\)