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We are given the following information:

- A teacher can grade **27 tests in 3 hours**.
- We are asked to find how many tests the teacher can grade in **8 hours** if they continue grading at the same rate.

### Step 1: Calculate the rate of grading per hour
The teacher's grading rate is:
\[
\frac{27 \text{ tests}}{3 \text{ hours}} = 9 \text{ tests per hour}.
\]

### Step 2: Multiply the rate by the number of hours
Now, to find out how many tests the teacher can grade in 8 hours:
\[
9 \text{ tests/hour} \times 8 \text{ hours} = 72 \text{ tests}.
\]

Thus, the teacher can grade **72 tests** in 8 hours.

Would you like more details or have any questions?

Here are five related questions for further practice:
1. If the teacher grades 40 tests in 5 hours, how many tests per hour is this?
2. How long will it take the teacher to grade 100 tests at the rate of 9 tests per hour?
3. If the teacher increases their grading speed to 12 tests per hour, how many tests will they grade in 7 hours?
4. How many tests can the teacher grade in 10 hours if the rate decreases to 8 tests per hour?
5. A different teacher can grade 35 tests in 5 hours. How does this rate compare to the first teacher’s rate?

**Tip:** When dealing with proportional relationships, always check the rate and multiply by the desired time or quantity to find the result.

A teacher can grade 27 tests in 3 hours. How many tests can the teacher grade in 8 hours if they continue to work at the same rate?

Learn how to calculate the number of tests a teacher can grade in 8 hours based on a given rate of 27 tests in 3 hours. Explore concepts of rate and proportional relationships, suitable for students in Grades 5-7.

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