Problem Description:
The image shows six Bingo cards, each with a 5x5 grid of numbers. The center square is marked as "FREE." The task is to determine which card(s) would win if the following sequence of numbers is called:
3, 27, 49, 64, 50, 70.
Solution Approach:
To solve this problem, we need to check each Bingo card to see if the called numbers form a winning pattern. In Bingo, a player wins if they achieve one of the following patterns:
1. A horizontal line.
2. A vertical line.
3. A diagonal line.
4. Any combination of these lines (e.g., multiple lines).
#### Step 1: Identify the Called Numbers
The called numbers are:
- 3
- 27
- 49
- 64
- 50
- 70
#### Step 2: Check Each Bingo Card
We will examine each card to see if the called numbers form a winning pattern.
---
Card 1:
```
B I N G O
3 30 33 49 73
9 27 37 56 64
8 21 FREE 50 70
4 25 39 52 63
13 28 44 48 69
```
- Marked numbers: 3, 27, 49, 64, 50, 70
- Pattern:
- Horizontal line in row 3: 8, 21, FREE, 50, 70
- Vertical line in column 1: 3, 9, 8, 4, 13
- No diagonal lines
Result: This card has a winning pattern (horizontal and vertical lines).
---
Card 2:
```
B I N G O
1 22 37 52 67
4 21 45 53 74
13 23 FREE 57 71
9 30 38 56 61
14 29 39 47 62
```
- Marked numbers: None of the called numbers appear on this card.
Result: This card does not have a winning pattern.
---
Card 3:
```
B I N G O
8 23 35 51 72
6 20 38 48 68
2 30 FREE 60 63
11 28 39 58 61
13 22 42 52 62
```
- Marked numbers: None of the called numbers appear on this card.
Result: This card does not have a winning pattern.
---
Card 4:
```
B I N G O
5 24 43 58 68
11 23 40 53 69
8 27 FREE 57 70
12 26 41 56 74
```
- Marked numbers: 27, 50, 70
- Pattern:
- Horizontal line in row 3: 8, 27, FREE, 57, 70
Result: This card has a winning pattern (horizontal line).
---
Card 5:
```
B I N G O
6 16 34 49 68
8 17 39 51 61
9 20 FREE 57 67
10 18 40 50 69
```
- Marked numbers: 49, 50
- Pattern:
- No complete lines
Result: This card does not have a winning pattern.
---
Card 6:
```
B I N G O
2 16 39 47 61
9 26 37 50 65
11 27 FREE 58 70
1 24 42 52 66
```
- Marked numbers: 50, 70
- Pattern:
- No complete lines
Result: This card does not have a winning pattern.
---
Final Answer:
The cards that win are
Card 1 and
Card 4.
$$
\boxed{\text{Card 1, Card 4}}
$$
Parent Tip: Review the logic above to help your child master the concept of printable bingo cards for free.
