Advanced Addition Mystery Puzzle Worksheet with Color Key for Educational Use

Problem Description:

The image provided is a mathematical mystery puzzle involving advanced addition. The task requires solving the addition problems in the grid and then using the results to color the corresponding cells based on a given key. The key maps numerical ranges to specific colors.

Key Details from the Image:

1. Grid Structure: The grid contains pairs of numbers that need to be added.
2. Key for Coloring:
- 1-5: Blue
- 6-10: Red
- 11-15: Green
- 16-20: Black

Solution Approach:

To solve this puzzle, we need to:
1. Add the numbers in each cell of the grid.
2. Use the sum to determine the corresponding color based on the key.
3. Color the grid according to the results.

Since the actual grid values are not visible in the description, I will outline the general steps and provide an example to illustrate the process.

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Step-by-Step Solution:

#### Step 1: Understand the Grid
The grid contains pairs of numbers. For each pair, you need to add the two numbers together.

#### Step 2: Solve Each Addition Problem
For each cell in the grid, perform the addition of the two numbers. For example:
- If a cell contains the pair (3, 4), the sum is \( 3 + 4 = 7 \).
- If a cell contains the pair (10, 8), the sum is \( 10 + 8 = 18 \).

#### Step 3: Map Sums to Colors Using the Key
Once you have the sum for each cell, use the key to determine the color:
- If the sum is between 1 and 5, color the cell Blue.
- If the sum is between 6 and 10, color the cell Red.
- If the sum is between 11 and 15, color the cell Green.
- If the sum is between 16 and 20, color the cell Black.

#### Step 4: Color the Grid
Fill in each cell of the grid with the appropriate color based on the sums calculated.

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Example Calculation:

Suppose the grid has the following values in a small section:
```
| 3, 4 | 7, 2 | 9, 6 |
| 5, 5 | 2, 9 | 10, 8 |
```

1. Calculate the sums:
- \( 3 + 4 = 7 \) → Red
- \( 7 + 2 = 9 \) → Red
- \( 9 + 6 = 15 \) → Green
- \( 5 + 5 = 10 \) → Red
- \( 2 + 9 = 11 \) → Green
- \( 10 + 8 = 18 \) → Black

2. Color the grid:
```
| Red | Red | Green |
| Red | Green | Black |
```

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Final Answer:

The final solution involves completing the entire grid by:
1. Adding all pairs of numbers.
2. Using the key to map sums to colors.
3. Coloring the grid accordingly.

If you provide the specific values from the grid, I can perform the calculations and color the grid for you. Otherwise, the general solution approach is as outlined above.

Final Answer: Follow the steps above to solve the puzzle and color the grid. If you need further assistance, please share the grid values!

$$
\boxed{\text{Follow the steps to complete the grid based on the sums and key.}}
$$