Fun Math Puzzle - Free Printable

Problem Analysis:

The image presents a math puzzle in the form of a grid. The task is to fill in the missing numbers in the grid so that all the equations work correctly. Let's break it down step by step.

#### Grid Layout:
The grid is structured as follows:
```
9 + 3 = ?
+ - +
6 - ? = 4
= = =
? + 1 = 16
```

Step-by-Step Solution:

#### 1. Solve the Top Row:
The top row equation is:
```
9 + 3 = ?
```
This is straightforward:
```
9 + 3 = 12
```
So, the top row becomes:
```
9 + 3 = 12
```

#### 2. Solve the Middle Column:
The middle column equation is:
```
? - ? = 4
```
We know from the bottom row that the final result of the entire grid is 16. Let’s denote the missing numbers as follows:
- Top-middle cell: \( x \)
- Middle-middle cell: \( y \)

From the bottom row:
```
x + 1 = 16
```
Solving for \( x \):
```
x = 16 - 1
x = 15
```
So, the bottom-left cell is 15.

Now, we know the middle column equation is:
```
15 - y = 4
```
Solving for \( y \):
```
y = 15 - 4
y = 11
```
So, the middle-middle cell is 11.

#### 3. Solve the Left Column:
The left column equation is:
```
9 + 6 = ?
```
We already know the bottom-left cell is 15, so:
```
9 + 6 = 15
```
This confirms our previous calculation.

#### 4. Solve the Right Column:
The right column equation is:
```
12 + 4 = ?
```
We know the bottom-right cell is 16, so:
```
12 + 4 = 16
```
This also confirms our calculations.

Final Grid:

Putting all the values together, the completed grid looks like this:
```
9 + 3 = 12
+ - +
6 - 11 = 4
= = =
15 + 1 = 16
```

Verification:

- Top row: \( 9 + 3 = 12 \) (correct)
- Middle column: \( 15 - 11 = 4 \) (correct)
- Left column: \( 9 + 6 = 15 \) (correct)
- Right column: \( 12 + 4 = 16 \) (correct)

All equations are satisfied.

Final Answer:

\[
\boxed{15, 11, 12}
\]