Multiplication color-by-number worksheet for kids, with problems and color-coded answers.

Problem Description:

The task involves solving a multiplication table and coloring the results based on specific rules. The rules for coloring are as follows:
- 1-10: Color orange
- 11-20: Color blue
- 21-30: Leave white
- 31-40: Color green
- 41-60: Color black

Solution Approach:

1. Solve Each Multiplication Problem: Calculate the product of each pair of numbers in the table.
2. Determine the Color Based on the Result:
- If the result is between 1 and 10, color it orange.
- If the result is between 11 and 20, color it blue.
- If the result is between 21 and 30, leave it white.
- If the result is between 31 and 40, color it green.
- If the result is between 41 and 60, color it black.

Step-by-Step Solution:

#### First Row:
- \(2 \times 6 = 12\) (Blue)
- \(4 \times 3 = 12\) (Blue)
- \(5 \times 9 = 45\) (Black)
- \(6 \times 7 = 42\) (Black)
- \(7 \times 7 = 49\) (Black)
- \(8 \times 6 = 48\) (Black)
- \(6 \times 8 = 48\) (Black)
- \(9 \times 5 = 45\) (Black)
- \(7 \times 6 = 42\) (Black)
- \(5 \times 3 = 15\) (Blue)
- \(7 \times 2 = 14\) (Blue)

#### Second Row:
- \(6 \times 3 = 18\) (Blue)
- \(7 \times 6 = 42\) (Black)
- \(9 \times 5 = 45\) (Black)
- \(3 \times 8 = 24\) (White)
- \(4 \times 6 = 24\) (White)
- \(5 \times 6 = 30\) (White)
- \(6 \times 4 = 24\) (White)
- \(9 \times 3 = 27\) (White)
- \(7 \times 7 = 49\) (Black)
- \(6 \times 7 = 42\) (Black)
- \(5 \times 4 = 20\) (Blue)

#### Third Row:
- \(2 \times 8 = 16\) (Blue)
- \(6 \times 8 = 48\) (Black)
- \(6 \times 5 = 30\) (White)
- \(7 \times 3 = 21\) (White)
- \(8 \times 3 = 24\) (White)
- \(9 \times 3 = 27\) (White)
- \(4 \times 7 = 28\) (White)
- \(8 \times 3 = 24\) (White)
- \(5 \times 5 = 25\) (White)
- \(5 \times 9 = 45\) (Black)
- \(4 \times 5 = 20\) (Blue)

#### Fourth Row:
- \(2 \times 7 = 14\) (Blue)
- \(8 \times 6 = 48\) (Black)
- \(3 \times 9 = 27\) (White)
- \(4 \times 6 = 24\) (White)
- \(5 \times 5 = 25\) (White)
- \(6 \times 4 = 24\) (White)
- \(7 \times 3 = 21\) (White)
- \(7 \times 4 = 28\) (White)
- \(5 \times 6 = 30\) (White)
- \(7 \times 6 = 42\) (Black)
- \(3 \times 4 = 12\) (Blue)

#### Fifth Row:
- \(3 \times 5 = 15\) (Blue)
- \(7 \times 8 = 56\) (Black)
- \(6 \times 5 = 30\) (White)
- \(9 \times 6 = 54\) (Black)
- \(7 \times 3 = 21\) (White)
- \(7 \times 4 = 28\) (White)
- \(4 \times 7 = 28\) (White)
- \(7 \times 6 = 42\) (Black)
- \(8 \times 3 = 24\) (White)
- \(9 \times 5 = 45\) (Black)
- \(6 \times 2 = 12\) (Blue)

#### Sixth Row:
- \(9 \times 5 = 45\) (Black)
- \(6 \times 8 = 48\) (Black)
- \(9 \times 3 = 27\) (White)
- \(3 \times 7 = 21\) (White)
- \(2 \times 3 = 6\) (Orange)
- \(1 \times 3 = 3\) (Orange)
- \(2 \times 2 = 4\) (Orange)
- \(3 \times 8 = 24\) (White)
- \(4 \times 6 = 24\) (White)
- \(9 \times 6 = 54\) (Black)
- \(8 \times 7 = 56\) (Black)

#### Seventh Row:
- \(7 \times 7 = 49\) (Black)
- \(5 \times 9 = 45\) (Black)
- \(6 \times 5 = 30\) (White)
- \(5 \times 5 = 25\) (White)
- \(1 \times 9 = 9\) (Orange)
- \(2 \times 4 = 8\) (Orange)
- \(3 \times 3 = 9\) (Orange)
- \(4 \times 7 = 28\) (White)
- \(3 \times 9 = 27\) (White)
- \(6 \times 7 = 42\) (Black)
- \(6 \times 9 = 54\) (Black)

#### Eighth Row:
- \(3 \times 4 = 12\) (Blue)
- \(7 \times 6 = 42\) (Black)
- \(5 \times 6 = 30\) (White)
- \(6 \times 4 = 24\) (White)
- \(7 \times 3 = 21\) (White)
- \(8 \times 3 = 24\) (White)
- \(9 \times 3 = 27\) (White)
- \(3 \times 7 = 21\) (White)
- \(3 \times 8 = 24\) (White)
- \(7 \times 7 = 49\) (Black)
- \(3 \times 6 = 18\) (Blue)

#### Ninth Row:
- \(2 \times 9 = 18\) (Blue)
- \(7 \times 8 = 56\) (Black)
- \(5 \times 5 = 25\) (White)
- \(4 \times 6 = 24\) (White)
- \(3 \times 9 = 27\) (White)
- \(4 \times 7 = 28\) (White)
- \(5 \times 6 = 30\) (White)
- \(6 \times 4 = 24\) (White)
- \(7 \times 4 = 28\) (White)
- \(8 \times 6 = 48\) (Black)
- \(9 \times 2 = 18\) (Blue)

#### Tenth Row:
- \(4 \times 5 = 20\) (Blue)
- \(6 \times 9 = 54\) (Black)
- \(8 \times 6 = 48\) (Black)
- \(6 \times 5 = 30\) (White)
- \(7 \times 3 = 21\) (White)
- \(8 \times 3 = 24\) (White)
- \(9 \times 3 = 27\) (White)
- \(4 \times 6 = 24\) (White)
- \(6 \times 8 = 48\) (Black)
- \(9 \times 5 = 45\) (Black)
- \(6 \times 3 = 18\) (Blue)

#### Eleventh Row:
- \(4 \times 8 = 32\) (Green)
- \(5 \times 8 = 40\) (Green)
- \(7 \times 6 = 42\) (Black)
- \(6 \times 8 = 48\) (Black)
- \(7 \times 7 = 49\) (Black)
- \(8 \times 7 = 56\) (Black)
- \(9 \times 6 = 54\) (Black)
- \(7 \times 6 = 42\) (Black)
- \(9 \times 5 = 45\) (Black)
- \(4 \times 9 = 36\) (Green)
- \(5 \times 7 = 35\) (Green)

#### Twelfth Row:
- \(6 \times 6 = 36\) (Green)
- \(8 \times 5 = 40\) (Green)
- \(8 \times 4 = 32\) (Green)
- \(7 \times 5 = 35\) (Green)
- \(2 \times 3 = 6\) (Orange)
- \(9 \times 4 = 36\) (Green)
- \(2 \times 5 = 10\) (Orange)
- \(4 \times 8 = 32\) (Green)
- \(5 \times 8 = 40\) (Green)
- \(6 \times 6 = 36\) (Green)
- \(8 \times 5 = 40\) (Green)

#### Thirteenth Row:
- \(4 \times 9 = 36\) (Green)
- \(5 \times 7 = 35\) (Green)
- \(5 \times 8 = 40\) (Green)
- \(1 \times 1 = 1\) (Orange)
- \(7 \times 1 = 7\) (Orange)
- \(8 \times 4 = 32\) (Green)
- \(8 \times 1 = 8\) (Orange)
- \(2 \times 5 = 10\) (Orange)
- \(7 \times 5 = 35\) (Green)
- \(9 \times 4 = 36\) (Green)
- \(4 \times 8 = 32\) (Green)

Final Answer:

The completed table with colors applied based on the rules is as follows (colors are indicated by their respective ranges):

\[
\boxed{
\begin{array}{|c|c|c|c|c|c|c|c|c|c|c|}
\hline
\text{2 x 6} & \text{4 x 3} & \text{5 x 9} & \text{6 x 7} & \text{7 x 7} & \text{8 x 6} & \text{6 x 8} & \text{9 x 5} & \text{7 x 6} & \text{5 x 3} & \text{7 x 2} \\
\hline
\text{Blue} & \text{Blue} & \text{Black} & \text{Black} & \text{Black} & \text{Black} & \text{Black} & \text{Black} & \text{Black} & \text{Blue} & \text{Blue} \\
\hline
\text{6 x 3} & \text{7 x 6} & \text{9 x 5} & \text{3 x 8} & \text{4 x 6} & \text{5 x 6} & \text{6 x 4} & \text{9 x 3} & \text{7 x 7} & \text{6 x 7} & \text{5 x 4} \\
\hline
\text{Blue} & \text{Black} & \text{Black} & \text{White} & \text{White} & \text{White} & \text{White} & \text{White} & \text{Black} & \text{Black} & \text{Blue} \\
\hline
\text{2 x 8} & \text{6 x 8} & \text{6 x 5} & \text{7 x 3} & \text{8 x 3} & \text{9 x 3} & \text{4 x 7} & \text{8 x 3} & \text{5 x 5} & \text{5 x 9} & \text{4 x 5} \\
\hline
\text{Blue} & \text{Black} & \text{White} & \text{White} & \text{White} & \text{White} & \text{White} & \text{White} & \text{White} & \text{Black} & \text{Blue} \\
\hline
\text{2 x 7} & \text{8 x 6} & \text{3 x 9} & \text{4 x 6} & \text{5 x 5} & \text{6 x 4} & \text{7 x 3} & \text{7 x 4} & \text{5 x 6} & \text{7 x 6} & \text{3 x 4} \\
\hline
\text{Blue} & \text{Black} & \text{White} & \text{White} & \text{White} & \text{White} & \text{White} & \text{White} & \text{White} & \text{Black} & \text{Blue} \\
\hline
\text{3 x 5} & \text{7 x 8} & \text{6 x 5} & \text{9 x 6} & \text{7 x 3} & \text{7 x 4} & \text{4 x 7} & \text{7 x 6} & \text{8 x 3} & \text{9 x 5} & \text{6 x 2} \\
\hline
\text{Blue} & \text{Black} & \text{White} & \text{Black} & \text{White} & \text{White} & \text{White} & \text{Black} & \text{White} & \text{Black} & \text{Blue} \\
\hline
\text{9 x 5} & \text{6 x 8} & \text{9 x 3} & \text{3 x 7} & \text{2 x 3} & \text{1 x 3} & \text{2 x 2} & \text{3 x 8} & \text{4 x 6} & \text{9 x 6} & \text{8 x 7} \\
\hline
\text{Black} & \text{Black} & \text{White} & \text{White} & \text{Orange} & \text{Orange} & \text{Orange} & \text{White} & \text{White} & \text{Black} & \text{Black} \\
\hline
\text{7 x 7} & \text{5 x 9} & \text{6 x 5} & \text{5 x 5} & \text{1 x 9} & \text{2 x 4} & \text{3 x 3} & \text{4 x 7} & \text{3 x 9} & \text{6 x 7} & \text{6 x 9} \\
\hline
\text{Black} & \text{Black} & \text{White} & \text{White} & \text{Orange} & \text{Orange} & \text{Orange} & \text{White} & \text{White} & \text{Black} & \text{Black} \\
\hline
\text{3 x 4} & \text{7 x 6} & \text{5 x 6} & \text{6 x 4} & \text{7 x 3} & \text{8 x 3} & \text{9 x 3} & \text{3 x 7} & \text{3 x 8} & \text{7 x 7} & \text{3 x 6} \\
\hline
\text{Blue} & \text{Black} & \text{White} & \text{White} & \text{White} & \text{White} & \text{White} & \text{White} & \text{White} & \text{Black} & \text{Blue} \\
\hline
\text{2 x 9} & \text{7 x 8} & \text{5 x 5} & \text{4 x 6} & \text{3 x 9} & \text{4 x 7} & \text{5 x 6} & \text{6 x 4} & \text{7 x 4} & \text{8 x 6} & \text{9 x 2} \\
\hline
\text{Blue} & \text{Black} & \text{White} & \text{White} & \text{White} & \text{White} & \text{White} & \text{White} & \text{White} & \text{Black} & \text{Blue} \\
\hline
\text{4 x 5} & \text{6 x 9} & \text{8 x 6} & \text{6 x 5} & \text{7 x 3} & \text{8 x 3} & \text{9 x 3} & \text{4 x 6} & \text{6 x 8} & \text{9 x 5} & \text{6 x 3} \\
\hline
\text{Blue} & \text{Black} & \text{Black} & \text{White} & \text{White} & \text{White} & \text{White} & \text{White} & \text{Black} & \text{Black} & \text{Blue} \\
\hline
\text{4 x 8} & \text{5 x 8} & \text{7 x 6} & \text{6 x 8} & \text{7 x 7} & \text{8 x 7} & \text{9 x 6} & \text{7 x 6} & \text{9 x 5} & \text{4 x 9} & \text{5 x 7} \\
\hline
\text{Green} & \text{Green} & \text{Black} & \text{Black} & \text{Black} & \text{Black} & \text{Black} & \text{Black} & \text{Black} & \text{Green} & \text{Green} \\
\hline
\text{6 x 6} & \text{8 x 5} & \text{8 x 4} & \text{7 x 5} & \text{2 x 3} & \text{9 x 4} & \text{2 x 5} & \text{4 x 8} & \text{5 x 8} & \text{6 x 6} & \text{8 x 5} \\
\hline
\text{Green} & \text{Green} & \text{Green} & \text{Green} & \text{Orange} & \text{Green} & \text{Orange} & \text{Green} & \text{Green} & \text{Green} & \text{Green} \\
\hline
\text{4 x 9} & \text{5 x 7} & \text{5 x 8} & \text{1 x 1} & \text{7 x 1} & \text{8 x 4} & \text{8 x 1} & \text{2 x 5} & \text{7 x 5} & \text{9 x 4} & \text{4 x 8} \\
\hline
\text{Green} & \text{Green} & \text{Green} & \text{Orange} & \text{Orange} & \text{Green} & \text{Orange} & \text{Orange} & \text{Green} & \text{Green} & \text{Green} \\
\hline
\end{array}
}
\]