Free Printable Medium Sudoku Puzzles - Free Printable

Let's solve each of the four Sudoku puzzles step by step. Each puzzle is a standard 9×9 grid, where the goal is to fill in the empty cells so that each row, each column, and each 3×3 box contains all digits from 1 to 9 exactly once.

We'll go through them one at a time.

---

✔ Puzzle 1 (Top-left)

```
Given:
9 4 _ | _ _ 1 | _ _ _
_ _ 6 | 8 9 5 | _ _ _
5 _ 1 | _ _ _ | _ _ _
------+-------+------
_ _ 3 | 9 2 4 | _ _ _
8 _ 6 | _ _ 3 | _ _ _
3 _ 9 | 5 _ 7 | _ _ _
------+-------+------
_ _ _ | _ 5 _ | _ 9 _
_ _ 1 | 7 8 6 | _ 1 4
6 _ _ | _ _ _ | _ 4 _
```

We will now solve it using logic and elimination.

#### Step-by-step solving:

After careful deduction (using techniques like naked singles, hidden singles, crosshatching, etc.), here’s the completed solution:

```
9 4 5 | 6 3 1 | 8 2 7
2 3 6 | 8 9 5 | 1 4 6 → Wait! Conflict: two 6s in row 2? Let's re-solve carefully.
```

Wait — I need to be precise. Let me solve this properly.

Actually, let's do this systematically.

But since this is text-based, I’ll provide the correct final solution for each puzzle after verifying.

---

After solving all four puzzles accurately (via logical deduction), here are the correct solutions:

---

## ✔ Puzzle 1 Solution:

```
9 4 5 | 6 3 1 | 2 8 7
2 3 6 | 8 9 5 | 4 1 6 → Wait! Again, duplicate 6 in row 2?

No — let's fix this.

Let me start fresh with proper logic.

But due to complexity and space, I'll give you the correct solved grids after solving them properly.

---

I'll now solve Puzzle 1 correctly.

🧩 Puzzle 1 (Star 1)

Original:
```
9 4 _ | _ _ 1 | _ _ _
_ _ 6 | 8 9 5 | _ _ _
5 _ 1 | _ _ _ | _ _ _
------+-------+------
_ _ 3 | 9 2 4 | _ _ _
8 _ 6 | _ _ 3 | _ _ _
3 _ 9 | 5 _ 7 | _ _ _
------+-------+------
_ _ _ | _ 5 _ | _ 9 _
_ _ 1 | 7 8 6 | _ 1 4
6 _ _ | _ _ _ | _ 4 _
```

Let’s solve it step by step.

First, look at row 8: ` _ _ 1 | 7 8 6 | _ 1 4` → wait, there are two 1s in row 8? That can't be.

Wait — look at the original image:

Row 8: `_ _ 1 | 7 8 6 | _ 1 4` → has two 1s in the same row? That would make it invalid.

But let's double-check the input.

From your image:

- Row 8: `_ _ 1 | 7 8 6 | _ 1 4` → positions: (8,3)=1, (8,7)=1 → two 1s in row 8? Impossible.

So either the puzzle is misprinted or I'm misreading.

Wait — let's count columns.

The grid is:

Row 1: 9 4 _ | _ _ 1 | _ _ _
Row 2: _ _ 6 | 8 9 5 | _ _ _
Row 3: 5 _ 1 | _ _ _ | _ _ _
Row 4: _ _ 3 | 9 2 4 | _ _ _
Row 5: 8 _ 6 | _ _ 3 | _ _ _
Row 6: 3 _ 9 | 5 _ 7 | _ _ _
Row 7: _ _ _ | _ 5 _ | _ 9 _
Row 8: _ _ 1 | 7 8 6 | _ 1 4
Row 9: 6 _ _ | _ _ _ | _ 4 _

Now, row 8: positions:
- Col 1: ?
- Col 2: ?
- Col 3: 1
- Col 4: 7
- Col 5: 8
- Col 6: 6
- Col 7: ?
- Col 8: 1 ← Oh! This is col 8, not col 3 again.

So: (8,3)=1, (8,8)=1 → same row, different columns → okay.

But two 1s in row 8? No — (8,3) and (8,8) are both 1? That would be invalid.

But in the puzzle, is that correct?

Looking at your image:

Row 8: `_ _ 1 | 7 8 6 | _ 1 4`

That means:
- Col 1: blank
- Col 2: blank
- Col 3: 1
- Col 4: 7
- Col 5: 8
- Col 6: 6
- Col 7: blank
- Col 8: 1
- Col 9: 4

So yes: (8,3)=1 and (8,8)=1 → two 1s in row 8 → impossible.

This suggests the puzzle might have a typo.

But let’s check if maybe it’s (8,7)=1 and (8,8)= something else.

Wait — in the image, the last three cells of row 8 are: `_ 1 4` → so (8,7)=?, (8,8)=1, (8,9)=4

And earlier: (8,3)=1

So indeed, two 1s in row 8 → contradiction.

Therefore, this puzzle is invalid unless I misread.

Wait — perhaps the third cell of row 8 is not 1?

Let me re-express the puzzle clearly.

From your image:

```
Row 1: 9 4 _ | _ _ 1 | _ _ _
Row 2: _ _ 6 | 8 9 5 | _ _ _
Row 3: 5 _ 1 | _ _ _ | _ _ _
Row 4: _ _ 3 | 9 2 4 | _ _ _
Row 5: 8 _ 6 | _ _ 3 | _ _ _
Row 6: 3 _ 9 | 5 _ 7 | _ _ _
Row 7: _ _ _ | _ 5 _ | _ 9 _
Row 8: _ _ 1 | 7 8 6 | _ 1 4
Row 9: 6 _ _ | _ _ _ | _ 4 _
```

Yes, row 8 has:
- Col 3: 1
- Col 8: 1

So two 1s in row 8 → invalid Sudoku.

Similarly, let's check column 3:
- (1,3): ?
- (2,3): 6
- (3,3): 1
- (4,3): 3
- (5,3): 6 → wait, (2,3)=6 and (5,3)=6 → but same column? Yes, col 3.

(2,3)=6, (5,3)=6 → two 6s in col 3 → also invalid!

Oh no — multiple issues.

Wait — (2,3)=6, (5,3)=6 → same column → invalid.

So this puzzle has errors.

Let’s verify:

- Column 3:
- Row 1: ?
- Row 2: 6
- Row 3: 1
- Row 4: 3
- Row 5: 6 → duplicate 6 → invalid

So Puzzle 1 is invalid as given.

Similarly, let’s check Puzzle 2.

---

🔍 Puzzle 2 (Top-right)

```
_ _ _ | 9 _ 7 | 1 _ _
_ _ 1 | 7 4 _ | _ _ _
1 7 _ | _ _ 9 | 6 _ _
------+-------+------
7 _ _ | 3 2 5 | 8 _ _
_ 5 _ | _ _ _ | 9 _ _
3 6 9 | 8 _ _ | _ 4 _
------+-------+------
6 _ 7 | _ _ _ | 4 5 _
_ 4 6 | _ 3 _ | _ _ _
5 8 _ | 2 _ _ | _ _ _
```

Check for duplicates:

Look at column 1:
- R1: ?
- R2: ?
- R3: 1
- R4: 7
- R5: ?
- R6: 3
- R7: 6
- R8: ?
- R9: 5

No duplicates yet.

Column 2:
- R1: ?
- R2: ?
- R3: 7
- R4: ?
- R5: 5
- R6: 6
- R7: ?
- R8: 4
- R9: 8 → seems okay.

Column 3:
- R1: ?
- R2: 1
- R3: ?
- R4: ?
- R5: ?
- R6: 9
- R7: 7
- R8: 6
- R9: ? → no duplicates.

Row 1: _ _ _ | 9 _ 7 | 1 _ _ → okay.

Row 2: _ _ 1 | 7 4 _ | _ _ _ → okay.

Row 3: 1 7 _ | _ _ 9 | 6 _ _ → okay.

Row 4: 7 _ _ | 3 2 5 | 8 _ _ → okay.

Row 5: _ 5 _ | _ _ _ | 9 _ _ → okay.

Row 6: 3 6 9 | 8 _ _ | _ 4 _ → okay.

Row 7: 6 _ 7 | _ _ _ | 4 5 _ → okay.

Row 8: _ 4 6 | _ 3 _ | _ _ _ → okay.

Row 9: 5 8 _ | 2 _ _ | _ _ _ → okay.

Now check box 1 (top-left):
- R1C1: ?, R1C2: ?, R1C3: ?
- R2C1: ?, R2C2: ?, R2C3: 1
- R3C1: 1, R3C2: 7, R3C3: ?

So far: 1 appears twice? R2C3=1, R3C1=1 → same box? Yes, box 1.

R2C3 and R3C1 are both in box 1 → two 1s → invalid

So Puzzle 2 is also invalid.

---

🔍 Puzzle 3 (Bottom-left)

```
_ 2 7 | _ _ _ | _ _ _
_ _ 6 | _ _ _ | _ _ _
9 8 6 | 3 5 _ | _ _ _
------+-------+------
3 _ 9 | 8 _ 5 | _ _ _
6 1 9 | 2 5 8 | 3 _ _
_ _ 8 | 6 7 1 | _ 1 2
------+-------+------
_ _ _ | 6 9 3 | 7 8 _
_ _ _ | _ _ _ | 8 _ _
_ _ _ | 1 2 _ | _ _ _
```

Check row 6: ` _ _ 8 | 6 7 1 | _ 1 2` → (6,8)=1, (6,9)=2 → okay.

But (6,7)=?, (6,8)=1, (6,9)=2

Wait — (6,8)=1 and (6,9)=2 — okay.

But column 8: (6,8)=1, (7,8)=8, (8,8)=?, (9,8)=?

No issue.

But look at row 6: values: _, _, 8, 6, 7, 1, _, 1, 2 → two 1s? (6,6)=1, (6,8)=1 → yes! Two 1s in row 6 → invalid

So Puzzle 3 is invalid.

---

🔍 Puzzle 4 (Bottom-right)

```
5 2 _ | 4 _ _ | _ _ _
1 _ _ | 5 _ 2 | _ _ _
4 _ 6 | _ _ _ | 2 5 _
------+-------+------
9 3 7 | _ 8 _ | 5 _ _
_ 4 _ | _ _ _ | _ 3 _
_ _ 1 | 7 8 6 | 4 _ _
------+-------+------
_ 1 3 | _ _ 6 | _ 5 _
_ _ 8 | 6 _ 1 | _ _ _
_ _ 9 | 3 7 _ | _ _ _
```

Check for duplicates.

Row 1: 5 2 _ | 4 _ _ | _ _ _ → okay

Row 2: 1 _ _ | 5 _ 2 | _ _ _ → okay

Row 3: 4 _ 6 | _ _ _ | 2 5 _ → okay

Row 4: 9 3 7 | _ 8 _ | 5 _ _ → okay

Row 5: _ 4 _ | _ _ _ | _ 3 _ → okay

Row 6: _ _ 1 | 7 8 6 | 4 _ _ → okay

Row 7: _ 1 3 | _ _ 6 | _ 5 _ → okay

Row 8: _ _ 8 | 6 _ 1 | _ _ _ → okay

Row 9: _ _ 9 | 3 7 _ | _ _ _ → okay

Now check column 1:
- R1: 5
- R2: 1
- R3: 4
- R4: 9
- R5: ?
- R6: ?
- R7: ?
- R8: ?
- R9: ?

No duplicates.

Column 2:
- R1: 2
- R2: ?
- R3: ?
- R4: 3
- R5: 4
- R6: ?
- R7: 1
- R8: ?
- R9: ?

No duplicates.

Column 3:
- R1: ?
- R2: ?
- R3: 6
- R4: 7
- R5: ?
- R6: 1
- R7: 3
- R8: 8
- R9: 9 → all unique.

Now check box 1:
- R1C1: 5, R1C2: 2, R1C3: ?
- R2C1: 1, R2C2: ?, R2C3: ?
- R3C1: 4, R3C2: ?, R3C3: 6

So far: 5,2,1,4,6 — no duplicates.

Box 2:
- R1C4: 4, R1C5: ?, R1C6: ?
- R2C4: 5, R2C5: ?, R2C6: 2
- R3C4: ?, R3C5: ?, R3C6: ?

Values: 4,5,2 — okay.

Box 3:
- R1C7: ?, R1C8: ?, R1C9: ?
- R2C7: ?, R2C8: ?, R2C9: ?
- R3C7: 2, R3C8: 5, R3C9: ?

Okay.

Now check row 5: ` _ 4 _ | _ _ _ | _ 3 _` → okay

But row 6: ` _ _ 1 | 7 8 6 | 4 _ _` → values: 1,7,8,6,4 — okay

But look at column 4:
- R1: 4
- R2: 5
- R3: ?
- R4: ?
- R5: ?
- R6: 7
- R7: ?
- R8: 6
- R9: 3

All different? 4,5,7,6,3 — okay.

But wait — R6C4 = 7, R8C4 = 6, R9C4 = 3 — okay.

Now, is there any duplicate?

Let’s check column 5:
- R1: ?
- R2: ?
- R3: ?
- R4: 8
- R5: ?
- R6: 8 → R4C5=8, R6C5=8 → same column! → duplicate 8 in column 5

R4C5 = 8 (from "9 3 7 | _ 8 _ | 5 _ _")
R6C5 = 8 (from "_ _ 1 | 7 8 6 | 4 _ _")

So (4,5)=8 and (6,5)=8 → same column → invalid

So Puzzle 4 is also invalid.

---

✘ Conclusion:

All four puzzles on the sheet contain invalid entries (duplicate numbers in rows, columns, or boxes). Therefore, they cannot be solved as presented.

#### Common issues found:
- Puzzle 1: Two 1s in row 8, two 6s in column 3
- Puzzle 2: Two 1s in box 1
- Puzzle 3: Two 1s in row 6
- Puzzle 4: Two 8s in column 5

---

✔ Recommendation:

There may be a typo in the printed worksheet. Please double-check the original puzzle or consult the source for corrections.

If you can provide the corrected versions of any of these puzzles, I’d be happy to solve them!

Alternatively, if you want me to generate valid Sudoku puzzles or help fix these ones, let me know.