6x6 Diagonal Sudoku Puzzles (MSSeries #115, #116) - Free Printable
Educational worksheet: 6x6 Diagonal Sudoku Puzzles (MSSeries #115, #116). Download and print for classroom or home learning activities.
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Step-by-step solution for: 6x6 Diagonal Sudoku Puzzles (MSSeries #115, #116)
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Show Answer Key & Explanations
Step-by-step solution for: 6x6 Diagonal Sudoku Puzzles (MSSeries #115, #116)
This is a Diagonal Sudoku puzzle. To solve it, I need to fill the 6x6 grid so that each row, each column, each of the six 2x3 boxes, and both main diagonals contain all the digits from 1 to 6 without repetition.
First, I will examine the given numbers and identify any cells that can be filled immediately based on the constraints.
Let me start by looking at the top-left 2x3 box. It has the numbers 2, 6, 1, 5, 3, and 4. All numbers from 1 to 6 are present, so this box is complete.
Next, I'll look at the top-right 2x3 box. It has the numbers 5, 4, 3, 6, 2, and 1. Again, all numbers from 1 to 6 are present, so this box is also complete.
Now, let's look at the middle-left 2x3 box. It has the numbers 1, 2, 6, 3, 4, and 5. All numbers from 1 to 6 are present, so this box is complete.
Moving on to the middle-right 2x3 box. It has the numbers 4, 3, 5, 1, 6, and 2. All numbers from 1 to 6 are present, so this box is complete.
Now, let's look at the bottom-left 2x3 box. It has the numbers 4, 1, 2, 6, 5, and 3. All numbers from 1 to 6 are present, so this box is complete.
Finally, let's look at the bottom-right 2x3 box. It has the numbers 3, 5, 6, 2, 1, and 4. All numbers from 1 to 6 are present, so this box is complete.
Since all the 2x3 boxes are complete, I need to check if the rows and columns also satisfy the Sudoku rules.
Looking at the first row: 2, 6, 1, 5, 4, 3. All numbers from 1 to 6 are present.
Second row: 5, 3, 4, 6, 2, 1. All numbers from 1 to 6 are present.
Third row: 1, 2, 6, 4, 3, 5. All numbers from 1 to 6 are present.
Fourth row: 3, 4, 5, 1, 6, 2. All numbers from 1 to 6 are present.
Fifth row: 4, 1, 2, 3, 5, 6. All numbers from 1 to 6 are present.
Sixth row: 6, 5, 3, 2, 1, 4. All numbers from 1 to 6 are present.
Now, let's check the columns.
First column: 2, 5, 1, 3, 4, 6. All numbers from 1 to 6 are present.
Second column: 6, 3, 2, 4, 1, 5. All numbers from 1 to 6 are present.
Third column: 1, 4, 6, 5, 2, 3. All numbers from 1 to 6 are present.
Fourth column: 5, 6, 4, 1, 3, 2. All numbers from 1 to 6 are present.
Fifth column: 4, 2, 3, 6, 5, 1. All numbers from 1 to 6 are present.
Sixth column: 3, 1, 5, 2, 6, 4. All numbers from 1 to 6 are present.
Finally, let's check the diagonals.
Main diagonal (top-left to bottom-right): 2, 3, 6, 1, 5, 4. All numbers from 1 to 6 are present.
Other diagonal (top-right to bottom-left): 3, 2, 3, 5, 2, 6. Wait, this diagonal has repeated numbers: 3 appears twice, and 2 appears twice. This violates the Sudoku rule.
Therefore, the given puzzle is not correctly solved as per the Diagonal Sudoku rules because the diagonal from top-right to bottom-left contains repeated numbers.
The correct solution would require adjusting the numbers in the diagonal to ensure all numbers from 1 to 6 appear exactly once.
However, since the puzzle is presented as a completed grid, it seems there might be an error in the puzzle itself or in the interpretation of the rules.
Given the constraints and the provided numbers, the puzzle as shown does not satisfy the Diagonal Sudoku rules due to the repeated numbers in one of the diagonals.
Therefore, the puzzle cannot be solved as presented without modifying some of the given numbers to satisfy all the rules of Diagonal Sudoku.
First, I will examine the given numbers and identify any cells that can be filled immediately based on the constraints.
Let me start by looking at the top-left 2x3 box. It has the numbers 2, 6, 1, 5, 3, and 4. All numbers from 1 to 6 are present, so this box is complete.
Next, I'll look at the top-right 2x3 box. It has the numbers 5, 4, 3, 6, 2, and 1. Again, all numbers from 1 to 6 are present, so this box is also complete.
Now, let's look at the middle-left 2x3 box. It has the numbers 1, 2, 6, 3, 4, and 5. All numbers from 1 to 6 are present, so this box is complete.
Moving on to the middle-right 2x3 box. It has the numbers 4, 3, 5, 1, 6, and 2. All numbers from 1 to 6 are present, so this box is complete.
Now, let's look at the bottom-left 2x3 box. It has the numbers 4, 1, 2, 6, 5, and 3. All numbers from 1 to 6 are present, so this box is complete.
Finally, let's look at the bottom-right 2x3 box. It has the numbers 3, 5, 6, 2, 1, and 4. All numbers from 1 to 6 are present, so this box is complete.
Since all the 2x3 boxes are complete, I need to check if the rows and columns also satisfy the Sudoku rules.
Looking at the first row: 2, 6, 1, 5, 4, 3. All numbers from 1 to 6 are present.
Second row: 5, 3, 4, 6, 2, 1. All numbers from 1 to 6 are present.
Third row: 1, 2, 6, 4, 3, 5. All numbers from 1 to 6 are present.
Fourth row: 3, 4, 5, 1, 6, 2. All numbers from 1 to 6 are present.
Fifth row: 4, 1, 2, 3, 5, 6. All numbers from 1 to 6 are present.
Sixth row: 6, 5, 3, 2, 1, 4. All numbers from 1 to 6 are present.
Now, let's check the columns.
First column: 2, 5, 1, 3, 4, 6. All numbers from 1 to 6 are present.
Second column: 6, 3, 2, 4, 1, 5. All numbers from 1 to 6 are present.
Third column: 1, 4, 6, 5, 2, 3. All numbers from 1 to 6 are present.
Fourth column: 5, 6, 4, 1, 3, 2. All numbers from 1 to 6 are present.
Fifth column: 4, 2, 3, 6, 5, 1. All numbers from 1 to 6 are present.
Sixth column: 3, 1, 5, 2, 6, 4. All numbers from 1 to 6 are present.
Finally, let's check the diagonals.
Main diagonal (top-left to bottom-right): 2, 3, 6, 1, 5, 4. All numbers from 1 to 6 are present.
Other diagonal (top-right to bottom-left): 3, 2, 3, 5, 2, 6. Wait, this diagonal has repeated numbers: 3 appears twice, and 2 appears twice. This violates the Sudoku rule.
Therefore, the given puzzle is not correctly solved as per the Diagonal Sudoku rules because the diagonal from top-right to bottom-left contains repeated numbers.
The correct solution would require adjusting the numbers in the diagonal to ensure all numbers from 1 to 6 appear exactly once.
However, since the puzzle is presented as a completed grid, it seems there might be an error in the puzzle itself or in the interpretation of the rules.
Given the constraints and the provided numbers, the puzzle as shown does not satisfy the Diagonal Sudoku rules due to the repeated numbers in one of the diagonals.
Therefore, the puzzle cannot be solved as presented without modifying some of the given numbers to satisfy all the rules of Diagonal Sudoku.
Parent Tip: Review the logic above to help your child master the concept of easy diagonal sudoku printable.
