https://file.aiquickdraw.com/mathbot/file/1728629132560tn9n8e1d.jpg

Let's break down the problem step by step:

### Given:
- The team has played 18 matches, with a mean score of 11 points.
- After playing one more match (total of 19 matches), the mean becomes 12 points.

### To find:
- The number of points they scored in their last match.

### Step-by-step Solution:

1. **Total points after 18 matches:**
   The mean score is calculated as:
   \[
   \text{Mean} = \frac{\text{Total Points}}{\text{Number of Matches}}
   \]
   So, the total points after 18 matches is:
   \[
   \text{Total Points} = 11 \times 18 = 198
   \]

2. **Total points after 19 matches:**
   With the new mean of 12 after 19 matches:
   \[
   \text{New Total Points} = 12 \times 19 = 228
   \]

3. **Points scored in the last match:**
   The points scored in the last match can be found by subtracting the total points after 18 matches from the total points after 19 matches:
   \[
   \text{Points in last match} = 228 - 198 = 30
   \]

### Final Answer:
The team scored **30 points** in their last match.

Let me know if you would like more details on any step, or if you have any further questions!

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Here are 5 related questions:
1. How is the mean affected if the team scored only 10 points in their next match instead of 30?
2. If the team had scored 15 points in the last match, what would the new mean be after 19 matches?
3. How would the mean change if two matches were added instead of one, and the team scored 25 and 35 points respectively?
4. What would the total score be after 20 matches if the mean stays at 12 points after another match?
5. How many matches would it take for the mean to reach 13 points, assuming they continue scoring an average of 15 points per game?

**Tip**: Always double-check your calculations by breaking them into smaller, manageable steps, especially in mean and total-related problems!

A team scores a mean of 11 points after playing 18 matches. They play another match and the mean becomes 12 points. Determine how many points they scored in their last match.

Learn how to calculate the points scored in the last match when a team’s mean score changes after playing an additional match. The team scored an average of 11 points over 18 matches, and the mean rose to 12 after the 19th match. Suitable for middle school students (Grades 6-8).

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