Printable Sudoku - 100+ Puzzles From Easy To Hard - World of ... - Free Printable
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Step-by-step solution for: Printable Sudoku - 100+ Puzzles From Easy To Hard - World of ...
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Show Answer Key & Explanations
Step-by-step solution for: Printable Sudoku - 100+ Puzzles From Easy To Hard - World of ...
To solve the Sudoku puzzle, we need to follow the rules of Sudoku:
1. Each row must contain the digits 1 through 9 without repetition.
2. Each column must contain the digits 1 through 9 without repetition.
3. Each 3x3 subgrid (also called a "box" or "region") must contain the digits 1 through 9 without repetition.
#### Top-Left Puzzle
We will solve the top-left Sudoku grid step by step.
Initial Grid:
```
4 9 7 3 | |
7 2 | | 4
1 | | 9
---------
5 2 | |
9 4 2 | | 7
6 | |
---------
1 2 5 | | 8
9 4 8 | |
6 7 5 | |
```
Step 1: Fill in the obvious numbers based on the rules.
- In the first row, the missing number is 8.
- In the second row, the missing numbers are 3 and 6.
- Continue this process for each row, column, and box.
After filling in all the obvious numbers, we get:
```
4 9 7 3 | 8 6 | 1 5 2
7 2 3 8 | 5 1 | 9 4 6
1 8 6 5 | 4 2 | 3 7 9
---------
5 3 9 1 | 7 8 | 6 2 4
9 6 4 2 | 3 5 | 8 1 7
8 7 2 6 | 9 4 | 5 3 1
---------
1 2 5 4 | 6 7 | 8 9 3
9 4 8 7 | 1 3 | 2 6 5
3 6 1 9 | 2 8 | 7 4 5
```
#### Top-Right Puzzle
We will solve the top-right Sudoku grid step by step.
Initial Grid:
```
| 1 | 5 7
| 7 6 3 | 1
| 1 8 | 5
---------
4 5 9 | 1
2 | 7
7 3 | 4
---------
6 3 | 4 6 7
7 4 1 2 | 5
```
Step 1: Fill in the obvious numbers based on the rules.
- In the first row, the missing numbers are 2, 3, 4, 6, 8, and 9.
- In the second row, the missing numbers are 2, 4, 5, 8, and 9.
- Continue this process for each row, column, and box.
After filling in all the obvious numbers, we get:
```
2 8 4 | 1 9 6 | 5 7 3
5 7 6 | 3 8 2 | 1 9 4
9 1 3 | 7 4 5 | 6 8 2
---------
4 3 5 | 9 6 7 | 8 1 2
8 9 2 | 5 1 3 | 7 4 6
1 6 7 | 2 3 4 | 9 5 8
---------
6 5 9 | 8 2 1 | 4 3 7
7 4 1 | 2 5 9 | 3 6 8
3 2 8 | 4 7 6 | 9 1 5
```
#### Bottom-Left Puzzle
We will solve the bottom-left Sudoku grid step by step.
Initial Grid:
```
5 2 | 4 7
7 2 |
9 | 2
---------
2 8 | 4
4 | 6
4 1 | 8
---------
9 1 | 8
3 9 1 | 4
2 5 | 1
```
Step 1: Fill in the obvious numbers based on the rules.
- In the first row, the missing numbers are 1, 3, 6, 8, and 9.
- In the second row, the missing numbers are 1, 3, 4, 5, 6, and 8.
- Continue this process for each row, column, and box.
After filling in all the obvious numbers, we get:
```
5 2 6 | 1 4 7 | 3 9 8
1 7 2 | 3 9 8 | 6 5 4
3 9 4 | 5 6 2 | 7 1 8
---------
2 3 8 | 7 5 9 | 1 4 6
7 6 5 | 8 1 4 | 9 2 3
4 1 9 | 2 3 6 | 5 8 7
---------
9 1 3 | 6 8 5 | 2 7 4
8 4 7 | 9 2 1 | 5 3 6
6 5 1 | 4 7 3 | 8 2 9
```
#### Bottom-Right Puzzle
We will solve the bottom-right Sudoku grid step by step.
Initial Grid:
```
6 | 7 9
8 | 4 1
5 4 | 1 9
---------
5 7 | 9 6
9 6 | 7 6
2 8 | 7 6
---------
9 7 5 | 8
2 5 4 | 4 7
4 8 1 | 6
```
Step 1: Fill in the obvious numbers based on the rules.
- In the first row, the missing numbers are 1, 2, 3, 4, 5, and 8.
- In the second row, the missing numbers are 1, 2, 3, 5, 6, and 7.
- Continue this process for each row, column, and box.
After filling in all the obvious numbers, we get:
```
6 3 2 | 5 7 9 | 4 1 8
8 1 9 | 3 4 1 | 2 5 7
5 4 7 | 6 8 2 | 9 3 1
---------
3 2 5 | 9 7 6 | 1 8 4
9 6 1 | 2 3 8 | 7 5 6
7 8 4 | 1 5 3 | 2 9 6
---------
1 9 6 | 4 2 5 | 8 7 3
2 5 8 | 7 1 4 | 3 6 9
4 7 3 | 8 6 1 | 5 2 9
```
The solved Sudoku puzzles are as follows:
Top-Left:
```
4 9 7 3 | 8 6 | 1 5 2
7 2 3 8 | 5 1 | 9 4 6
1 8 6 5 | 4 2 | 3 7 9
---------
5 3 9 1 | 7 8 | 6 2 4
9 6 4 2 | 3 5 | 8 1 7
8 7 2 6 | 9 4 | 5 3 1
---------
1 2 5 4 | 6 7 | 8 9 3
9 4 8 7 | 1 3 | 2 6 5
3 6 1 9 | 2 8 | 7 4 5
```
Top-Right:
```
2 8 4 | 1 9 6 | 5 7 3
5 7 6 | 3 8 2 | 1 9 4
9 1 3 | 7 4 5 | 6 8 2
---------
4 3 5 | 9 6 7 | 8 1 2
8 9 2 | 5 1 3 | 7 4 6
1 6 7 | 2 3 4 | 9 5 8
---------
6 5 9 | 8 2 1 | 4 3 7
7 4 1 | 2 5 9 | 3 6 8
3 2 8 | 4 7 6 | 9 1 5
```
Bottom-Left:
```
5 2 6 | 1 4 7 | 3 9 8
1 7 2 | 3 9 8 | 6 5 4
3 9 4 | 5 6 2 | 7 1 8
---------
2 3 8 | 7 5 9 | 1 4 6
7 6 5 | 8 1 4 | 9 2 3
4 1 9 | 2 3 6 | 5 8 7
---------
9 1 3 | 6 8 5 | 2 7 4
8 4 7 | 9 2 1 | 5 3 6
6 5 1 | 4 7 3 | 8 2 9
```
Bottom-Right:
```
6 3 2 | 5 7 9 | 4 1 8
8 1 9 | 3 4 1 | 2 5 7
5 4 7 | 6 8 2 | 9 3 1
---------
3 2 5 | 9 7 6 | 1 8 4
9 6 1 | 2 3 8 | 7 5 6
7 8 4 | 1 5 3 | 2 9 6
---------
1 9 6 | 4 2 5 | 8 7 3
2 5 8 | 7 1 4 | 3 6 9
4 7 3 | 8 6 1 | 5 2 9
```
Thus, the final answer is:
\boxed{
\begin{array}{|ccc|ccc|ccc|}
\hline
4 & 9 & 7 & 3 & 8 & 6 & 1 & 5 & 2 \\
7 & 2 & 3 & 8 & 5 & 1 & 9 & 4 & 6 \\
1 & 8 & 6 & 5 & 4 & 2 & 3 & 7 & 9 \\
\hline
5 & 3 & 9 & 1 & 7 & 8 & 6 & 2 & 4 \\
9 & 6 & 4 & 2 & 3 & 5 & 8 & 1 & 7 \\
8 & 7 & 2 & 6 & 9 & 4 & 5 & 3 & 1 \\
\hline
1 & 2 & 5 & 4 & 6 & 7 & 8 & 9 & 3 \\
9 & 4 & 8 & 7 & 1 & 3 & 2 & 6 & 5 \\
3 & 6 & 1 & 9 & 2 & 8 & 7 & 4 & 5 \\
\hline
\end{array}
\quad
\begin{array}{|ccc|ccc|ccc|}
\hline
2 & 8 & 4 & 1 & 9 & 6 & 5 & 7 & 3 \\
5 & 7 & 6 & 3 & 8 & 2 & 1 & 9 & 4 \\
9 & 1 & 3 & 7 & 4 & 5 & 6 & 8 & 2 \\
\hline
4 & 3 & 5 & 9 & 6 & 7 & 8 & 1 & 2 \\
8 & 9 & 2 & 5 & 1 & 3 & 7 & 4 & 6 \\
1 & 6 & 7 & 2 & 3 & 4 & 9 & 5 & 8 \\
\hline
6 & 5 & 9 & 8 & 2 & 1 & 4 & 3 & 7 \\
7 & 4 & 1 & 2 & 5 & 9 & 3 & 6 & 8 \\
3 & 2 & 8 & 4 & 7 & 6 & 9 & 1 & 5 \\
\hline
\end{array}
\quad
\begin{array}{|ccc|ccc|ccc|}
\hline
5 & 2 & 6 & 1 & 4 & 7 & 3 & 9 & 8 \\
1 & 7 & 2 & 3 & 9 & 8 & 6 & 5 & 4 \\
3 & 9 & 4 & 5 & 6 & 2 & 7 & 1 & 8 \\
\hline
2 & 3 & 8 & 7 & 5 & 9 & 1 & 4 & 6 \\
7 & 6 & 5 & 8 & 1 & 4 & 9 & 2 & 3 \\
4 & 1 & 9 & 2 & 3 & 6 & 5 & 8 & 7 \\
\hline
9 & 1 & 3 & 6 & 8 & 5 & 2 & 7 & 4 \\
8 & 4 & 7 & 9 & 2 & 1 & 5 & 3 & 6 \\
6 & 5 & 1 & 4 & 7 & 3 & 8 & 2 & 9 \\
\hline
\end{array}
\quad
\begin{array}{|ccc|ccc|ccc|}
\hline
6 & 3 & 2 & 5 & 7 & 9 & 4 & 1 & 8 \\
8 & 1 & 9 & 3 & 4 & 1 & 2 & 5 & 7 \\
5 & 4 & 7 & 6 & 8 & 2 & 9 & 3 & 1 \\
\hline
3 & 2 & 5 & 9 & 7 & 6 & 1 & 8 & 4 \\
9 & 6 & 1 & 2 & 3 & 8 & 7 & 5 & 6 \\
7 & 8 & 4 & 1 & 5 & 3 & 2 & 9 & 6 \\
\hline
1 & 9 & 6 & 4 & 2 & 5 & 8 & 7 & 3 \\
2 & 5 & 8 & 7 & 1 & 4 & 3 & 6 & 9 \\
4 & 7 & 3 & 8 & 6 & 1 & 5 & 2 & 9 \\
\hline
\end{array}
}
1. Each row must contain the digits 1 through 9 without repetition.
2. Each column must contain the digits 1 through 9 without repetition.
3. Each 3x3 subgrid (also called a "box" or "region") must contain the digits 1 through 9 without repetition.
Step-by-Step Solution
#### Top-Left Puzzle
We will solve the top-left Sudoku grid step by step.
Initial Grid:
```
4 9 7 3 | |
7 2 | | 4
1 | | 9
---------
5 2 | |
9 4 2 | | 7
6 | |
---------
1 2 5 | | 8
9 4 8 | |
6 7 5 | |
```
Step 1: Fill in the obvious numbers based on the rules.
- In the first row, the missing number is 8.
- In the second row, the missing numbers are 3 and 6.
- Continue this process for each row, column, and box.
After filling in all the obvious numbers, we get:
```
4 9 7 3 | 8 6 | 1 5 2
7 2 3 8 | 5 1 | 9 4 6
1 8 6 5 | 4 2 | 3 7 9
---------
5 3 9 1 | 7 8 | 6 2 4
9 6 4 2 | 3 5 | 8 1 7
8 7 2 6 | 9 4 | 5 3 1
---------
1 2 5 4 | 6 7 | 8 9 3
9 4 8 7 | 1 3 | 2 6 5
3 6 1 9 | 2 8 | 7 4 5
```
#### Top-Right Puzzle
We will solve the top-right Sudoku grid step by step.
Initial Grid:
```
| 1 | 5 7
| 7 6 3 | 1
| 1 8 | 5
---------
4 5 9 | 1
2 | 7
7 3 | 4
---------
6 3 | 4 6 7
7 4 1 2 | 5
```
Step 1: Fill in the obvious numbers based on the rules.
- In the first row, the missing numbers are 2, 3, 4, 6, 8, and 9.
- In the second row, the missing numbers are 2, 4, 5, 8, and 9.
- Continue this process for each row, column, and box.
After filling in all the obvious numbers, we get:
```
2 8 4 | 1 9 6 | 5 7 3
5 7 6 | 3 8 2 | 1 9 4
9 1 3 | 7 4 5 | 6 8 2
---------
4 3 5 | 9 6 7 | 8 1 2
8 9 2 | 5 1 3 | 7 4 6
1 6 7 | 2 3 4 | 9 5 8
---------
6 5 9 | 8 2 1 | 4 3 7
7 4 1 | 2 5 9 | 3 6 8
3 2 8 | 4 7 6 | 9 1 5
```
#### Bottom-Left Puzzle
We will solve the bottom-left Sudoku grid step by step.
Initial Grid:
```
5 2 | 4 7
7 2 |
9 | 2
---------
2 8 | 4
4 | 6
4 1 | 8
---------
9 1 | 8
3 9 1 | 4
2 5 | 1
```
Step 1: Fill in the obvious numbers based on the rules.
- In the first row, the missing numbers are 1, 3, 6, 8, and 9.
- In the second row, the missing numbers are 1, 3, 4, 5, 6, and 8.
- Continue this process for each row, column, and box.
After filling in all the obvious numbers, we get:
```
5 2 6 | 1 4 7 | 3 9 8
1 7 2 | 3 9 8 | 6 5 4
3 9 4 | 5 6 2 | 7 1 8
---------
2 3 8 | 7 5 9 | 1 4 6
7 6 5 | 8 1 4 | 9 2 3
4 1 9 | 2 3 6 | 5 8 7
---------
9 1 3 | 6 8 5 | 2 7 4
8 4 7 | 9 2 1 | 5 3 6
6 5 1 | 4 7 3 | 8 2 9
```
#### Bottom-Right Puzzle
We will solve the bottom-right Sudoku grid step by step.
Initial Grid:
```
6 | 7 9
8 | 4 1
5 4 | 1 9
---------
5 7 | 9 6
9 6 | 7 6
2 8 | 7 6
---------
9 7 5 | 8
2 5 4 | 4 7
4 8 1 | 6
```
Step 1: Fill in the obvious numbers based on the rules.
- In the first row, the missing numbers are 1, 2, 3, 4, 5, and 8.
- In the second row, the missing numbers are 1, 2, 3, 5, 6, and 7.
- Continue this process for each row, column, and box.
After filling in all the obvious numbers, we get:
```
6 3 2 | 5 7 9 | 4 1 8
8 1 9 | 3 4 1 | 2 5 7
5 4 7 | 6 8 2 | 9 3 1
---------
3 2 5 | 9 7 6 | 1 8 4
9 6 1 | 2 3 8 | 7 5 6
7 8 4 | 1 5 3 | 2 9 6
---------
1 9 6 | 4 2 5 | 8 7 3
2 5 8 | 7 1 4 | 3 6 9
4 7 3 | 8 6 1 | 5 2 9
```
Final Answer:
The solved Sudoku puzzles are as follows:
Top-Left:
```
4 9 7 3 | 8 6 | 1 5 2
7 2 3 8 | 5 1 | 9 4 6
1 8 6 5 | 4 2 | 3 7 9
---------
5 3 9 1 | 7 8 | 6 2 4
9 6 4 2 | 3 5 | 8 1 7
8 7 2 6 | 9 4 | 5 3 1
---------
1 2 5 4 | 6 7 | 8 9 3
9 4 8 7 | 1 3 | 2 6 5
3 6 1 9 | 2 8 | 7 4 5
```
Top-Right:
```
2 8 4 | 1 9 6 | 5 7 3
5 7 6 | 3 8 2 | 1 9 4
9 1 3 | 7 4 5 | 6 8 2
---------
4 3 5 | 9 6 7 | 8 1 2
8 9 2 | 5 1 3 | 7 4 6
1 6 7 | 2 3 4 | 9 5 8
---------
6 5 9 | 8 2 1 | 4 3 7
7 4 1 | 2 5 9 | 3 6 8
3 2 8 | 4 7 6 | 9 1 5
```
Bottom-Left:
```
5 2 6 | 1 4 7 | 3 9 8
1 7 2 | 3 9 8 | 6 5 4
3 9 4 | 5 6 2 | 7 1 8
---------
2 3 8 | 7 5 9 | 1 4 6
7 6 5 | 8 1 4 | 9 2 3
4 1 9 | 2 3 6 | 5 8 7
---------
9 1 3 | 6 8 5 | 2 7 4
8 4 7 | 9 2 1 | 5 3 6
6 5 1 | 4 7 3 | 8 2 9
```
Bottom-Right:
```
6 3 2 | 5 7 9 | 4 1 8
8 1 9 | 3 4 1 | 2 5 7
5 4 7 | 6 8 2 | 9 3 1
---------
3 2 5 | 9 7 6 | 1 8 4
9 6 1 | 2 3 8 | 7 5 6
7 8 4 | 1 5 3 | 2 9 6
---------
1 9 6 | 4 2 5 | 8 7 3
2 5 8 | 7 1 4 | 3 6 9
4 7 3 | 8 6 1 | 5 2 9
```
Thus, the final answer is:
\boxed{
\begin{array}{|ccc|ccc|ccc|}
\hline
4 & 9 & 7 & 3 & 8 & 6 & 1 & 5 & 2 \\
7 & 2 & 3 & 8 & 5 & 1 & 9 & 4 & 6 \\
1 & 8 & 6 & 5 & 4 & 2 & 3 & 7 & 9 \\
\hline
5 & 3 & 9 & 1 & 7 & 8 & 6 & 2 & 4 \\
9 & 6 & 4 & 2 & 3 & 5 & 8 & 1 & 7 \\
8 & 7 & 2 & 6 & 9 & 4 & 5 & 3 & 1 \\
\hline
1 & 2 & 5 & 4 & 6 & 7 & 8 & 9 & 3 \\
9 & 4 & 8 & 7 & 1 & 3 & 2 & 6 & 5 \\
3 & 6 & 1 & 9 & 2 & 8 & 7 & 4 & 5 \\
\hline
\end{array}
\quad
\begin{array}{|ccc|ccc|ccc|}
\hline
2 & 8 & 4 & 1 & 9 & 6 & 5 & 7 & 3 \\
5 & 7 & 6 & 3 & 8 & 2 & 1 & 9 & 4 \\
9 & 1 & 3 & 7 & 4 & 5 & 6 & 8 & 2 \\
\hline
4 & 3 & 5 & 9 & 6 & 7 & 8 & 1 & 2 \\
8 & 9 & 2 & 5 & 1 & 3 & 7 & 4 & 6 \\
1 & 6 & 7 & 2 & 3 & 4 & 9 & 5 & 8 \\
\hline
6 & 5 & 9 & 8 & 2 & 1 & 4 & 3 & 7 \\
7 & 4 & 1 & 2 & 5 & 9 & 3 & 6 & 8 \\
3 & 2 & 8 & 4 & 7 & 6 & 9 & 1 & 5 \\
\hline
\end{array}
\quad
\begin{array}{|ccc|ccc|ccc|}
\hline
5 & 2 & 6 & 1 & 4 & 7 & 3 & 9 & 8 \\
1 & 7 & 2 & 3 & 9 & 8 & 6 & 5 & 4 \\
3 & 9 & 4 & 5 & 6 & 2 & 7 & 1 & 8 \\
\hline
2 & 3 & 8 & 7 & 5 & 9 & 1 & 4 & 6 \\
7 & 6 & 5 & 8 & 1 & 4 & 9 & 2 & 3 \\
4 & 1 & 9 & 2 & 3 & 6 & 5 & 8 & 7 \\
\hline
9 & 1 & 3 & 6 & 8 & 5 & 2 & 7 & 4 \\
8 & 4 & 7 & 9 & 2 & 1 & 5 & 3 & 6 \\
6 & 5 & 1 & 4 & 7 & 3 & 8 & 2 & 9 \\
\hline
\end{array}
\quad
\begin{array}{|ccc|ccc|ccc|}
\hline
6 & 3 & 2 & 5 & 7 & 9 & 4 & 1 & 8 \\
8 & 1 & 9 & 3 & 4 & 1 & 2 & 5 & 7 \\
5 & 4 & 7 & 6 & 8 & 2 & 9 & 3 & 1 \\
\hline
3 & 2 & 5 & 9 & 7 & 6 & 1 & 8 & 4 \\
9 & 6 & 1 & 2 & 3 & 8 & 7 & 5 & 6 \\
7 & 8 & 4 & 1 & 5 & 3 & 2 & 9 & 6 \\
\hline
1 & 9 & 6 & 4 & 2 & 5 & 8 & 7 & 3 \\
2 & 5 & 8 & 7 & 1 & 4 & 3 & 6 & 9 \\
4 & 7 & 3 & 8 & 6 & 1 & 5 & 2 & 9 \\
\hline
\end{array}
}
Parent Tip: Review the logic above to help your child master the concept of printable sudoku puzzles hard.