https://file.aiquickdraw.com/mathbot/file/1729044192298zzs6jhuv.jpg

Let's go through the problems visible in the image.

1. **Problem 11**:
   - **Question**: There are 8 questions during the first round of a game show. Each question is worth 15 points. What is the greatest number of points that a contestant can earn during the first round?
   - **Solution**: The contestant can answer all 8 questions correctly.
     \[
     \text{Total points} = 8 \times 15 = 120 \text{ points}.
     \]

2. **Problem 12**:
   - **Question**: Your friend multiplies 58 by 6 and says the product is 3,048. Is your friend's answer reasonable? Explain.
   - **Solution**: Multiply 58 by 6 to check.
     \[
     58 \times 6 = 348.
     \]
     The friend's answer is **not reasonable** because the correct product is 348, not 3,048.

3. **Problem 13 (Dig Deeper)**:
   - **Question**: The sum of two numbers is 20. The product of the two numbers is 51. What are the two numbers?
   - **Solution**: Let the two numbers be \( x \) and \( y \). You have two equations:
     \[
     x + y = 20 \quad \text{and} \quad x \times y = 51.
     \]
     Solve these equations:
     Factor 51: \( 51 = 17 \times 3 \).
     Therefore, the two numbers are \( 17 \) and \( 3 \).

4. **Problem 14**:
   - **Question**: A self-balancing scooter travels 12 miles per hour. An all-terrain vehicle can travel 6 times as fast. A go-kart can travel 67 miles per hour. Which vehicle can travel the fastest?
   - **Solution**: 
     - Scooter speed = 12 mph
     - All-terrain vehicle speed = \( 12 \times 6 = 72 \) mph
     - Go-kart speed = 67 mph
     The all-terrain vehicle is the fastest at 72 mph.

5. **Problem 16 (Review & Refresh)**:
   - **Question**: You spend 21 fewer minutes riding the bus to school than getting ready in the morning. You take 36 minutes to get ready. How long is the bus ride?
   - **Solution**: 
     \[
     \text{Bus ride time} = 36 - 21 = 15 \text{ minutes}.
     \]

If you have any specific doubts or want more details, feel free to ask!

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### 5 Related Questions:
1. What is the product of 49 and 5?
2. If the sum of two numbers is 30 and their product is 200, what are the numbers?
3. How can you verify if a multiplication result is reasonable by estimation?
4. How long would it take an all-terrain vehicle to travel 100 miles at its given speed?
5. How would the answer change if the bus ride time was 10 minutes fewer instead of 21?

### Tip: 
For verifying multiplication, round each number to the nearest 10 and perform the operation. This gives you a quick check if your answer is close.

There are multiple questions visible in the image, related to estimation, multiplication, reasoning, and real-life math scenarios.

Solve real-world math problems involving multiplication, estimation, and reasoning. Examples include calculating speed, verifying multiplication results, and exploring real-life scenarios with all-terrain vehicles and go-karts. Suitable for students in Grades 5-6.

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