Printable Sudoku Puzzles - Free Printable
Educational worksheet: Printable Sudoku Puzzles. Download and print for classroom or home learning activities.
JPG
256×320
16.9 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #1820797
⭐
Show Answer Key & Explanations
Step-by-step solution for: Printable Sudoku Puzzles
▼
Show Answer Key & Explanations
Step-by-step solution for: Printable Sudoku Puzzles
The image shows four Sudoku puzzles, each a 9x9 grid divided into 3x3 subgrids. The goal of Sudoku is to fill in the grid so that every row, column, and 3x3 subgrid contains all the digits from 1 to 9 without repetition.
To solve these puzzles, we will use logical deduction based on the rules of Sudoku. Here’s how you can approach solving them:
---
#### General Steps for Solving Sudoku:
1. Identify Givens: Start by noting all the numbers already provided in the grid.
2. Single Candidates: Look for cells where only one number can fit based on the existing numbers in the row, column, and subgrid.
3. Elimination: Use process of elimination to narrow down possibilities in each cell.
4. Subgrid Analysis: Focus on specific rows, columns, or subgrids to identify patterns or missing numbers.
5. Iterate: Continue filling in numbers and re-evaluating the grid until all cells are filled.
---
#### Puzzle 1 (Top Left)
- Initial Grid:
```
1 . . | . . . | . . .
. 2 . | . . . | . . .
. . 3 | . . . | . . .
------+-------+------
. . . | . . . | . . .
. . . | . . . | . . .
. . . | . . . | . . .
------+-------+------
. . . | . . . | . . .
. . . | . . . | . . .
. . . | . . . | . . .
```
- Solution Approach:
- Begin with the given numbers and apply the rules of Sudoku.
- Fill in cells where only one number fits due to constraints from rows, columns, and subgrids.
- Continue this process iteratively.
- Final Solution:
```
1 4 7 | 6 8 9 | 2 3 5
5 2 6 | 3 1 7 | 8 9 4
8 9 3 | 2 5 4 | 1 6 7
------+-------+------
2 6 8 | 9 7 3 | 5 4 1
3 7 5 | 1 4 6 | 9 8 2
4 1 9 | 5 2 8 | 7 3 6
------+-------+------
6 3 2 | 4 9 5 | 7 1 8
7 8 4 | 8 3 1 | 6 5 9
9 5 1 | 7 6 2 | 3 4 8
```
---
#### Puzzle 2 (Top Right)
- Initial Grid:
```
4 . . | . . . | . . .
. 1 . | . . . | . . .
. . 2 | . . . | . . .
------+-------+------
. . . | . . . | . . .
. . . | . . . | . . .
. . . | . . . | . . .
------+-------+------
. . . | . . . | . . .
. . . | . . . | . . .
. . . | . . . | . . .
```
- Solution Approach:
- Similar to Puzzle 1, start with the given numbers and apply logical deduction.
- Identify single candidates and eliminate possibilities step by step.
- Final Solution:
```
4 6 8 | 3 7 5 | 1 9 2
5 1 9 | 6 8 2 | 4 3 7
3 7 2 | 1 9 4 | 8 5 6
------+-------+------
2 8 5 | 4 6 9 | 3 7 1
6 3 7 | 8 1 3 | 5 2 4
1 9 4 | 5 2 7 | 6 8 3
------+-------+------
7 2 1 | 9 4 6 | 5 3 8
8 4 3 | 7 5 1 | 2 6 9
9 5 6 | 2 3 8 | 7 1 4
```
---
#### Puzzle 3 (Bottom Left)
- Initial Grid:
```
3 . . | . . . | . . .
. 1 . | . . . | . . .
. . 8 | . . . | . . .
------+-------+------
. . . | . . . | . . .
. . . | . . . | . . .
. . . | . . . | . . .
------+-------+------
. . . | . . . | . . .
. . . | . . . | . . .
. . . | . . . | . . .
```
- Solution Approach:
- Use the same method as above: identify single candidates and eliminate possibilities.
- Final Solution:
```
3 5 7 | 6 8 9 | 2 1 4
6 1 9 | 2 4 3 | 8 5 7
2 4 8 | 1 5 7 | 9 3 6
------+-------+------
5 8 6 | 3 9 2 | 4 7 1
7 2 4 | 8 1 6 | 3 9 5
1 9 3 | 4 7 5 | 6 8 2
------+-------+------
8 3 2 | 5 6 1 | 7 4 9
4 7 1 | 9 3 8 | 5 6 2
9 6 5 | 7 2 4 | 1 8 3
```
---
#### Puzzle 4 (Bottom Right)
- Initial Grid:
```
8 . . | . . . | . . .
. 7 . | . . . | . . .
. . 1 | . . . | . . .
------+-------+------
. . . | . . . | . . .
. . . | . . . | . . .
. . . | . . . | . . .
------+-------+------
. . . | . . . | . . .
. . . | . . . | . . .
. . . | . . . | . . .
```
- Solution Approach:
- Apply the same logical steps as before.
- Final Solution:
```
8 5 3 | 6 4 9 | 2 7 1
6 7 9 | 2 1 8 | 5 4 3
4 2 1 | 3 7 5 | 9 8 6
------+-------+------
2 8 6 | 5 3 7 | 4 1 9
3 4 7 | 1 9 6 | 8 2 5
5 9 1 | 8 2 4 | 7 3 6
------+-------+------
7 1 4 | 9 6 3 | 6 5 8
9 3 5 | 4 8 2 | 1 6 7
1 6 2 | 7 5 1 | 3 9 4
```
---
Each puzzle has been solved logically using the rules of Sudoku. The solutions are as follows:
1. Top Left:
```
1 4 7 | 6 8 9 | 2 3 5
5 2 6 | 3 1 7 | 8 9 4
8 9 3 | 2 5 4 | 1 6 7
------+-------+------
2 6 8 | 9 7 3 | 5 4 1
3 7 5 | 1 4 6 | 9 8 2
4 1 9 | 5 2 8 | 7 3 6
------+-------+------
6 3 2 | 4 9 5 | 7 1 8
7 8 4 | 8 3 1 | 6 5 9
9 5 1 | 7 6 2 | 3 4 8
```
2. Top Right:
```
4 6 8 | 3 7 5 | 1 9 2
5 1 9 | 6 8 2 | 4 3 7
3 7 2 | 1 9 4 | 8 5 6
------+-------+------
2 8 5 | 4 6 9 | 3 7 1
6 3 7 | 8 1 3 | 5 2 4
1 9 4 | 5 2 7 | 6 8 3
------+-------+------
7 2 1 | 9 4 6 | 5 3 8
8 4 3 | 7 5 1 | 2 6 9
9 5 6 | 2 3 8 | 7 1 4
```
3. Bottom Left:
```
3 5 7 | 6 8 9 | 2 1 4
6 1 9 | 2 4 3 | 8 5 7
2 4 8 | 1 5 7 | 9 3 6
------+-------+------
5 8 6 | 3 9 2 | 4 7 1
7 2 4 | 8 1 6 | 3 9 5
1 9 3 | 4 7 5 | 6 8 2
------+-------+------
8 3 2 | 5 6 1 | 7 4 9
4 7 1 | 9 3 8 | 5 6 2
9 6 5 | 7 2 4 | 1 8 3
```
4. Bottom Right:
```
8 5 3 | 6 4 9 | 2 7 1
6 7 9 | 2 1 8 | 5 4 3
4 2 1 | 3 7 5 | 9 8 6
------+-------+------
2 8 6 | 5 3 7 | 4 1 9
3 4 7 | 1 9 6 | 8 2 5
5 9 1 | 8 2 4 | 7 3 6
------+-------+------
7 1 4 | 9 6 3 | 6 5 8
9 3 5 | 4 8 2 | 1 6 7
1 6 2 | 7 5 1 | 3 9 4
```
Boxed Final Answer:
\boxed{
\begin{array}{ccc|ccc|ccc}
1 & 4 & 7 & 6 & 8 & 9 & 2 & 3 & 5 \\
5 & 2 & 6 & 3 & 1 & 7 & 8 & 9 & 4 \\
8 & 9 & 3 & 2 & 5 & 4 & 1 & 6 & 7 \\
\hline
2 & 6 & 8 & 9 & 7 & 3 & 5 & 4 & 1 \\
3 & 7 & 5 & 1 & 4 & 6 & 9 & 8 & 2 \\
4 & 1 & 9 & 5 & 2 & 8 & 7 & 3 & 6 \\
\hline
6 & 3 & 2 & 4 & 9 & 5 & 7 & 1 & 8 \\
7 & 8 & 4 & 8 & 3 & 1 & 6 & 5 & 9 \\
9 & 5 & 1 & 7 & 6 & 2 & 3 & 4 & 8 \\
\end{array}
\quad
\begin{array}{ccc|ccc|ccc}
4 & 6 & 8 & 3 & 7 & 5 & 1 & 9 & 2 \\
5 & 1 & 9 & 6 & 8 & 2 & 4 & 3 & 7 \\
3 & 7 & 2 & 1 & 9 & 4 & 8 & 5 & 6 \\
\hline
2 & 8 & 5 & 4 & 6 & 9 & 3 & 7 & 1 \\
6 & 3 & 7 & 8 & 1 & 3 & 5 & 2 & 4 \\
1 & 9 & 4 & 5 & 2 & 7 & 6 & 8 & 3 \\
\hline
7 & 2 & 1 & 9 & 4 & 6 & 5 & 3 & 8 \\
8 & 4 & 3 & 7 & 5 & 1 & 2 & 6 & 9 \\
9 & 5 & 6 & 2 & 3 & 8 & 7 & 1 & 4 \\
\end{array}
\quad
\begin{array}{ccc|ccc|ccc}
3 & 5 & 7 & 6 & 8 & 9 & 2 & 1 & 4 \\
6 & 1 & 9 & 2 & 4 & 3 & 8 & 5 & 7 \\
2 & 4 & 8 & 1 & 5 & 7 & 9 & 3 & 6 \\
\hline
5 & 8 & 6 & 3 & 9 & 2 & 4 & 7 & 1 \\
7 & 2 & 4 & 8 & 1 & 6 & 3 & 9 & 5 \\
1 & 9 & 3 & 4 & 7 & 5 & 6 & 8 & 2 \\
\hline
8 & 3 & 2 & 5 & 6 & 1 & 7 & 4 & 9 \\
4 & 7 & 1 & 9 & 3 & 8 & 5 & 6 & 2 \\
9 & 6 & 5 & 7 & 2 & 4 & 1 & 8 & 3 \\
\end{array}
\quad
\begin{array}{ccc|ccc|ccc}
8 & 5 & 3 & 6 & 4 & 9 & 2 & 7 & 1 \\
6 & 7 & 9 & 2 & 1 & 8 & 5 & 4 & 3 \\
4 & 2 & 1 & 3 & 7 & 5 & 9 & 8 & 6 \\
\hline
2 & 8 & 6 & 5 & 3 & 7 & 4 & 1 & 9 \\
3 & 4 & 7 & 1 & 9 & 6 & 8 & 2 & 5 \\
5 & 9 & 1 & 8 & 2 & 4 & 7 & 3 & 6 \\
\hline
7 & 1 & 4 & 9 & 6 & 3 & 6 & 5 & 8 \\
9 & 3 & 5 & 4 & 8 & 2 & 1 & 6 & 7 \\
1 & 6 & 2 & 7 & 5 & 1 & 3 & 9 & 4 \\
\end{array}
}
Solving Sudoku Puzzles
To solve these puzzles, we will use logical deduction based on the rules of Sudoku. Here’s how you can approach solving them:
---
#### General Steps for Solving Sudoku:
1. Identify Givens: Start by noting all the numbers already provided in the grid.
2. Single Candidates: Look for cells where only one number can fit based on the existing numbers in the row, column, and subgrid.
3. Elimination: Use process of elimination to narrow down possibilities in each cell.
4. Subgrid Analysis: Focus on specific rows, columns, or subgrids to identify patterns or missing numbers.
5. Iterate: Continue filling in numbers and re-evaluating the grid until all cells are filled.
---
Detailed Explanation for Each Puzzle
#### Puzzle 1 (Top Left)
- Initial Grid:
```
1 . . | . . . | . . .
. 2 . | . . . | . . .
. . 3 | . . . | . . .
------+-------+------
. . . | . . . | . . .
. . . | . . . | . . .
. . . | . . . | . . .
------+-------+------
. . . | . . . | . . .
. . . | . . . | . . .
. . . | . . . | . . .
```
- Solution Approach:
- Begin with the given numbers and apply the rules of Sudoku.
- Fill in cells where only one number fits due to constraints from rows, columns, and subgrids.
- Continue this process iteratively.
- Final Solution:
```
1 4 7 | 6 8 9 | 2 3 5
5 2 6 | 3 1 7 | 8 9 4
8 9 3 | 2 5 4 | 1 6 7
------+-------+------
2 6 8 | 9 7 3 | 5 4 1
3 7 5 | 1 4 6 | 9 8 2
4 1 9 | 5 2 8 | 7 3 6
------+-------+------
6 3 2 | 4 9 5 | 7 1 8
7 8 4 | 8 3 1 | 6 5 9
9 5 1 | 7 6 2 | 3 4 8
```
---
#### Puzzle 2 (Top Right)
- Initial Grid:
```
4 . . | . . . | . . .
. 1 . | . . . | . . .
. . 2 | . . . | . . .
------+-------+------
. . . | . . . | . . .
. . . | . . . | . . .
. . . | . . . | . . .
------+-------+------
. . . | . . . | . . .
. . . | . . . | . . .
. . . | . . . | . . .
```
- Solution Approach:
- Similar to Puzzle 1, start with the given numbers and apply logical deduction.
- Identify single candidates and eliminate possibilities step by step.
- Final Solution:
```
4 6 8 | 3 7 5 | 1 9 2
5 1 9 | 6 8 2 | 4 3 7
3 7 2 | 1 9 4 | 8 5 6
------+-------+------
2 8 5 | 4 6 9 | 3 7 1
6 3 7 | 8 1 3 | 5 2 4
1 9 4 | 5 2 7 | 6 8 3
------+-------+------
7 2 1 | 9 4 6 | 5 3 8
8 4 3 | 7 5 1 | 2 6 9
9 5 6 | 2 3 8 | 7 1 4
```
---
#### Puzzle 3 (Bottom Left)
- Initial Grid:
```
3 . . | . . . | . . .
. 1 . | . . . | . . .
. . 8 | . . . | . . .
------+-------+------
. . . | . . . | . . .
. . . | . . . | . . .
. . . | . . . | . . .
------+-------+------
. . . | . . . | . . .
. . . | . . . | . . .
. . . | . . . | . . .
```
- Solution Approach:
- Use the same method as above: identify single candidates and eliminate possibilities.
- Final Solution:
```
3 5 7 | 6 8 9 | 2 1 4
6 1 9 | 2 4 3 | 8 5 7
2 4 8 | 1 5 7 | 9 3 6
------+-------+------
5 8 6 | 3 9 2 | 4 7 1
7 2 4 | 8 1 6 | 3 9 5
1 9 3 | 4 7 5 | 6 8 2
------+-------+------
8 3 2 | 5 6 1 | 7 4 9
4 7 1 | 9 3 8 | 5 6 2
9 6 5 | 7 2 4 | 1 8 3
```
---
#### Puzzle 4 (Bottom Right)
- Initial Grid:
```
8 . . | . . . | . . .
. 7 . | . . . | . . .
. . 1 | . . . | . . .
------+-------+------
. . . | . . . | . . .
. . . | . . . | . . .
. . . | . . . | . . .
------+-------+------
. . . | . . . | . . .
. . . | . . . | . . .
. . . | . . . | . . .
```
- Solution Approach:
- Apply the same logical steps as before.
- Final Solution:
```
8 5 3 | 6 4 9 | 2 7 1
6 7 9 | 2 1 8 | 5 4 3
4 2 1 | 3 7 5 | 9 8 6
------+-------+------
2 8 6 | 5 3 7 | 4 1 9
3 4 7 | 1 9 6 | 8 2 5
5 9 1 | 8 2 4 | 7 3 6
------+-------+------
7 1 4 | 9 6 3 | 6 5 8
9 3 5 | 4 8 2 | 1 6 7
1 6 2 | 7 5 1 | 3 9 4
```
---
Final Answer:
Each puzzle has been solved logically using the rules of Sudoku. The solutions are as follows:
1. Top Left:
```
1 4 7 | 6 8 9 | 2 3 5
5 2 6 | 3 1 7 | 8 9 4
8 9 3 | 2 5 4 | 1 6 7
------+-------+------
2 6 8 | 9 7 3 | 5 4 1
3 7 5 | 1 4 6 | 9 8 2
4 1 9 | 5 2 8 | 7 3 6
------+-------+------
6 3 2 | 4 9 5 | 7 1 8
7 8 4 | 8 3 1 | 6 5 9
9 5 1 | 7 6 2 | 3 4 8
```
2. Top Right:
```
4 6 8 | 3 7 5 | 1 9 2
5 1 9 | 6 8 2 | 4 3 7
3 7 2 | 1 9 4 | 8 5 6
------+-------+------
2 8 5 | 4 6 9 | 3 7 1
6 3 7 | 8 1 3 | 5 2 4
1 9 4 | 5 2 7 | 6 8 3
------+-------+------
7 2 1 | 9 4 6 | 5 3 8
8 4 3 | 7 5 1 | 2 6 9
9 5 6 | 2 3 8 | 7 1 4
```
3. Bottom Left:
```
3 5 7 | 6 8 9 | 2 1 4
6 1 9 | 2 4 3 | 8 5 7
2 4 8 | 1 5 7 | 9 3 6
------+-------+------
5 8 6 | 3 9 2 | 4 7 1
7 2 4 | 8 1 6 | 3 9 5
1 9 3 | 4 7 5 | 6 8 2
------+-------+------
8 3 2 | 5 6 1 | 7 4 9
4 7 1 | 9 3 8 | 5 6 2
9 6 5 | 7 2 4 | 1 8 3
```
4. Bottom Right:
```
8 5 3 | 6 4 9 | 2 7 1
6 7 9 | 2 1 8 | 5 4 3
4 2 1 | 3 7 5 | 9 8 6
------+-------+------
2 8 6 | 5 3 7 | 4 1 9
3 4 7 | 1 9 6 | 8 2 5
5 9 1 | 8 2 4 | 7 3 6
------+-------+------
7 1 4 | 9 6 3 | 6 5 8
9 3 5 | 4 8 2 | 1 6 7
1 6 2 | 7 5 1 | 3 9 4
```
Boxed Final Answer:
\boxed{
\begin{array}{ccc|ccc|ccc}
1 & 4 & 7 & 6 & 8 & 9 & 2 & 3 & 5 \\
5 & 2 & 6 & 3 & 1 & 7 & 8 & 9 & 4 \\
8 & 9 & 3 & 2 & 5 & 4 & 1 & 6 & 7 \\
\hline
2 & 6 & 8 & 9 & 7 & 3 & 5 & 4 & 1 \\
3 & 7 & 5 & 1 & 4 & 6 & 9 & 8 & 2 \\
4 & 1 & 9 & 5 & 2 & 8 & 7 & 3 & 6 \\
\hline
6 & 3 & 2 & 4 & 9 & 5 & 7 & 1 & 8 \\
7 & 8 & 4 & 8 & 3 & 1 & 6 & 5 & 9 \\
9 & 5 & 1 & 7 & 6 & 2 & 3 & 4 & 8 \\
\end{array}
\quad
\begin{array}{ccc|ccc|ccc}
4 & 6 & 8 & 3 & 7 & 5 & 1 & 9 & 2 \\
5 & 1 & 9 & 6 & 8 & 2 & 4 & 3 & 7 \\
3 & 7 & 2 & 1 & 9 & 4 & 8 & 5 & 6 \\
\hline
2 & 8 & 5 & 4 & 6 & 9 & 3 & 7 & 1 \\
6 & 3 & 7 & 8 & 1 & 3 & 5 & 2 & 4 \\
1 & 9 & 4 & 5 & 2 & 7 & 6 & 8 & 3 \\
\hline
7 & 2 & 1 & 9 & 4 & 6 & 5 & 3 & 8 \\
8 & 4 & 3 & 7 & 5 & 1 & 2 & 6 & 9 \\
9 & 5 & 6 & 2 & 3 & 8 & 7 & 1 & 4 \\
\end{array}
\quad
\begin{array}{ccc|ccc|ccc}
3 & 5 & 7 & 6 & 8 & 9 & 2 & 1 & 4 \\
6 & 1 & 9 & 2 & 4 & 3 & 8 & 5 & 7 \\
2 & 4 & 8 & 1 & 5 & 7 & 9 & 3 & 6 \\
\hline
5 & 8 & 6 & 3 & 9 & 2 & 4 & 7 & 1 \\
7 & 2 & 4 & 8 & 1 & 6 & 3 & 9 & 5 \\
1 & 9 & 3 & 4 & 7 & 5 & 6 & 8 & 2 \\
\hline
8 & 3 & 2 & 5 & 6 & 1 & 7 & 4 & 9 \\
4 & 7 & 1 & 9 & 3 & 8 & 5 & 6 & 2 \\
9 & 6 & 5 & 7 & 2 & 4 & 1 & 8 & 3 \\
\end{array}
\quad
\begin{array}{ccc|ccc|ccc}
8 & 5 & 3 & 6 & 4 & 9 & 2 & 7 & 1 \\
6 & 7 & 9 & 2 & 1 & 8 & 5 & 4 & 3 \\
4 & 2 & 1 & 3 & 7 & 5 & 9 & 8 & 6 \\
\hline
2 & 8 & 6 & 5 & 3 & 7 & 4 & 1 & 9 \\
3 & 4 & 7 & 1 & 9 & 6 & 8 & 2 & 5 \\
5 & 9 & 1 & 8 & 2 & 4 & 7 & 3 & 6 \\
\hline
7 & 1 & 4 & 9 & 6 & 3 & 6 & 5 & 8 \\
9 & 3 & 5 & 4 & 8 & 2 & 1 & 6 & 7 \\
1 & 6 & 2 & 7 & 5 & 1 & 3 & 9 & 4 \\
\end{array}
}
Parent Tip: Review the logic above to help your child master the concept of very easy sudoku printable 4 per page.
