HBD Number Puzzle • Beeloo Printable Crafts and Activities for Kids - Free Printable

This is a number puzzle similar to Sudoku, where the goal is to fill each row, column, and block with unique numbers from 1 to 8. Let's solve it step by step.

Step 1: Understand the Puzzle

The grid is divided into 8 rows and 8 columns, and it is further divided into 4 blocks (each block is a 4x4 subgrid). The rules are:
1. Each row must contain the numbers 1 through 8 exactly once.
2. Each column must contain the numbers 1 through 8 exactly once.
3. Each block must contain the numbers 1 through 8 exactly once.

Step 2: Analyze the Given Numbers

We will start by analyzing the given numbers and filling in the missing ones based on the rules.

#### Row 1:
- Given: `3`, `4`, `7`
- Missing: `1`, `2`, `5`, `6`, `8`

#### Row 2:
- Given: `4`, `1`, `6`, `7`, `8`
- Missing: `2`, `3`, `5`

#### Row 3:
- Given: `5`, `3`, `8`, `1`, `6`, `4`
- Missing: `2`, `7`

#### Row 4:
- Given: `6`, `8`, `4`, `7`, `3`, `1`, `2`
- Missing: `5`

#### Row 5:
- Given: `4`, `2`, `8`, `3`, `5`
- Missing: `1`, `6`, `7`

#### Row 6:
- Given: `5`, `8`, `4`, `6`, `1`
- Missing: `2`, `3`, `7`

#### Row 7:
- Given: `8`, `7`, `1`, `4`, `6`
- Missing: `2`, `3`, `5`

#### Row 8:
- Given: `7`, `6`, `5`, `1`, `2`, `4`, `8`, `3`
- All numbers are present.

Step 3: Solve Row by Row

We will now fill in the missing numbers step by step, ensuring that the rules are followed.

#### Row 1:
- Given: `3`, `4`, `7`
- Missing: `1`, `2`, `5`, `6`, `8`
- By checking the columns and blocks, we can determine the positions:
- Column 1: Missing `1`, `2`, `5`, `6`, `8`
- Column 2: Already has `3`
- Column 3: Missing `1`, `2`, `5`, `6`, `8`
- Column 4: Already has `4`
- Column 5: Already has `7`
- Column 6: Missing `1`, `2`, `5`, `6`, `8`
- Column 7: Already has `7`
- Column 8: Missing `1`, `2`, `5`, `6`, `8`

After analyzing, we can fill in:
```
1, 3, 2, 5, 4, 6, 7, 8
```

#### Row 2:
- Given: `4`, `1`, `6`, `7`, `8`
- Missing: `2`, `3`, `5`
- By checking the columns and blocks, we can determine the positions:
- Column 1: Missing `2`, `3`, `5`
- Column 2: Already has `1`
- Column 3: Already has `6`
- Column 4: Already has `7`
- Column 5: Already has `8`
- Column 6: Missing `2`, `3`, `5`
- Column 7: Missing `2`, `3`, `5`
- Column 8: Missing `2`, `3`, `5`

After analyzing, we can fill in:
```
2, 4, 1, 6, 7, 8, 3, 5
```

#### Row 3:
- Given: `5`, `3`, `8`, `1`, `6`, `4`
- Missing: `2`, `7`
- By checking the columns and blocks, we can determine the positions:
- Column 1: Already has `5`
- Column 2: Already has `3`
- Column 3: Already has `8`
- Column 4: Already has `1`
- Column 5: Already has `6`
- Column 6: Already has `4`
- Column 7: Missing `2`, `7`
- Column 8: Missing `2`, `7`

After analyzing, we can fill in:
```
5, 3, 8, 1, 6, 4, 7, 2
```

#### Row 4:
- Given: `6`, `8`, `4`, `7`, `3`, `1`, `2`
- Missing: `5`
- By checking the columns and blocks, we can determine the position:
- Column 1: Already has `6`
- Column 2: Already has `8`
- Column 3: Already has `4`
- Column 4: Already has `7`
- Column 5: Already has `3`
- Column 6: Already has `1`
- Column 7: Already has `2`
- Column 8: Missing `5`

After analyzing, we can fill in:
```
6, 8, 4, 7, 3, 1, 2, 5
```

#### Row 5:
- Given: `4`, `2`, `8`, `3`, `5`
- Missing: `1`, `6`, `7`
- By checking the columns and blocks, we can determine the positions:
- Column 1: Already has `4`
- Column 2: Already has `2`
- Column 3: Already has `8`
- Column 4: Already has `3`
- Column 5: Already has `5`
- Column 6: Missing `1`, `6`, `7`
- Column 7: Missing `1`, `6`, `7`
- Column 8: Missing `1`, `6`, `7`

After analyzing, we can fill in:
```
4, 2, 8, 3, 5, 6, 7, 1
```

#### Row 6:
- Given: `5`, `8`, `4`, `6`, `1`
- Missing: `2`, `3`, `7`
- By checking the columns and blocks, we can determine the positions:
- Column 1: Already has `5`
- Column 2: Already has `8`
- Column 3: Already has `4`
- Column 4: Already has `6`
- Column 5: Already has `1`
- Column 6: Missing `2`, `3`, `7`
- Column 7: Missing `2`, `3`, `7`
- Column 8: Missing `2`, `3`, `7`

After analyzing, we can fill in:
```
5, 8, 4, 6, 1, 3, 2, 7
```

#### Row 7:
- Given: `8`, `7`, `1`, `4`, `6`
- Missing: `2`, `3`, `5`
- By checking the columns and blocks, we can determine the positions:
- Column 1: Already has `8`
- Column 2: Already has `7`
- Column 3: Already has `1`
- Column 4: Already has `4`
- Column 5: Already has `6`
- Column 6: Missing `2`, `3`, `5`
- Column 7: Missing `2`, `3`, `5`
- Column 8: Already has `1`

After analyzing, we can fill in:
```
8, 7, 1, 4, 6, 5, 3, 2
```

#### Row 8:
- Given: `7`, `6`, `5`, `1`, `2`, `4`, `8`, `3`
- All numbers are present.

Final Solution

After filling in all the missing numbers, the completed grid is:

```
1 3 2 5 4 6 7 8
2 4 1 6 7 8 3 5
5 3 8 1 6 4 7 2
6 8 4 7 3 1 2 5
4 2 8 3 5 6 7 1
5 8 4 6 1 3 2 7
8 7 1 4 6 5 3 2
7 6 5 1 2 4 8 3
```

Final Answer:

\boxed{
\begin{array}{cccccccc}
1 & 3 & 2 & 5 & 4 & 6 & 7 & 8 \\
2 & 4 & 1 & 6 & 7 & 8 & 3 & 5 \\
5 & 3 & 8 & 1 & 6 & 4 & 7 & 2 \\
6 & 8 & 4 & 7 & 3 & 1 & 2 & 5 \\
4 & 2 & 8 & 3 & 5 & 6 & 7 & 1 \\
5 & 8 & 4 & 6 & 1 & 3 & 2 & 7 \\
8 & 7 & 1 & 4 & 6 & 5 & 3 & 2 \\
7 & 6 & 5 & 1 & 2 & 4 & 8 & 3 \\
\end{array}
}