Multiplication Grids Worksheet for Students to Practice Multiplication Problems

Problem Overview:

The task involves filling in multiplication grids. Each grid provides a set of numbers along the top row and left column, and the goal is to compute the product of each pair of numbers (one from the top row and one from the left column) and fill in the corresponding cell.

Solution Approach:

1. Identify the Numbers: For each grid, identify the numbers in the top row and the left column.
2. Perform Multiplication: Multiply each number in the left column by each number in the top row.
3. Fill in the Grid: Write the result of each multiplication in the corresponding cell of the grid.

Section A: Fill in the multiplication grids

#### Grid 1:
| x | 3 | 5 |
|---|---|---|
| 2 | | |
| 8 | | |

- Row 1, Column 1: \( 2 \times 3 = 6 \)
- Row 1, Column 2: \( 2 \times 5 = 10 \)
- Row 2, Column 1: \( 8 \times 3 = 24 \)
- Row 2, Column 2: \( 8 \times 5 = 40 \)

Filled Grid:
| x | 3 | 5 |
|---|---|---|
| 2 | 6 | 10 |
| 8 | 24 | 40 |

#### Grid 2:
| x | 6 | 8 |
|---|---|---|
| 4 | | |
| 5 | | |

- Row 1, Column 1: \( 4 \times 6 = 24 \)
- Row 1, Column 2: \( 4 \times 8 = 32 \)
- Row 2, Column 1: \( 5 \times 6 = 30 \)
- Row 2, Column 2: \( 5 \times 8 = 40 \)

Filled Grid:
| x | 6 | 8 |
|---|---|---|
| 4 | 24 | 32 |
| 5 | 30 | 40 |

#### Grid 3:
| x | 7 | 5 |
|---|---|---|
| 6 | | |
| 1 | | |

- Row 1, Column 1: \( 6 \times 7 = 42 \)
- Row 1, Column 2: \( 6 \times 5 = 30 \)
- Row 2, Column 1: \( 1 \times 7 = 7 \)
- Row 2, Column 2: \( 1 \times 5 = 5 \)

Filled Grid:
| x | 7 | 5 |
|---|---|---|
| 6 | 42 | 30 |
| 1 | 7 | 5 |

#### Grid 4:
| x | 12 | 3 |
|---|----|---|
| 5 | | |
| 6 | | |

- Row 1, Column 1: \( 5 \times 12 = 60 \)
- Row 1, Column 2: \( 5 \times 3 = 15 \)
- Row 2, Column 1: \( 6 \times 12 = 72 \)
- Row 2, Column 2: \( 6 \times 3 = 18 \)

Filled Grid:
| x | 12 | 3 |
|---|----|---|
| 5 | 60 | 15 |
| 6 | 72 | 18 |

#### Grid 5:
| x | 4 | 7 |
|---|---|---|
| 11 | | |
| 4 | | |

- Row 1, Column 1: \( 11 \times 4 = 44 \)
- Row 1, Column 2: \( 11 \times 7 = 77 \)
- Row 2, Column 1: \( 4 \times 4 = 16 \)
- Row 2, Column 2: \( 4 \times 7 = 28 \)

Filled Grid:
| x | 4 | 7 |
|---|---|---|
| 11 | 44 | 77 |
| 4 | 16 | 28 |

#### Grid 6:
| x | 10 | 3 |
|---|----|---|
| 7 | | |
| 9 | | |

- Row 1, Column 1: \( 7 \times 10 = 70 \)
- Row 1, Column 2: \( 7 \times 3 = 21 \)
- Row 2, Column 1: \( 9 \times 10 = 90 \)
- Row 2, Column 2: \( 9 \times 3 = 27 \)

Filled Grid:
| x | 10 | 3 |
|---|----|---|
| 7 | 70 | 21 |
| 9 | 90 | 27 |

#### Grid 7:
| x | 5 | 6 |
|---|---|---|
| 4 | | |
| 2 | | |

- Row 1, Column 1: \( 4 \times 5 = 20 \)
- Row 1, Column 2: \( 4 \times 6 = 24 \)
- Row 2, Column 1: \( 2 \times 5 = 10 \)
- Row 2, Column 2: \( 2 \times 6 = 12 \)

Filled Grid:
| x | 5 | 6 |
|---|---|---|
| 4 | 20 | 24 |
| 2 | 10 | 12 |

#### Grid 8:
| x | 8 | 9 |
|---|---|---|
| 6 | | |
| 7 | | |

- Row 1, Column 1: \( 6 \times 8 = 48 \)
- Row 1, Column 2: \( 6 \times 9 = 54 \)
- Row 2, Column 1: \( 7 \times 8 = 56 \)
- Row 2, Column 2: \( 7 \times 9 = 63 \)

Filled Grid:
| x | 8 | 9 |
|---|---|---|
| 6 | 48 | 54 |
| 7 | 56 | 63 |

#### Grid 9:
| x | 12 | 11 |
|---|----|----|
| 10 | | |
| 9 | | |

- Row 1, Column 1: \( 10 \times 12 = 120 \)
- Row 1, Column 2: \( 10 \times 11 = 110 \)
- Row 2, Column 1: \( 9 \times 12 = 108 \)
- Row 2, Column 2: \( 9 \times 11 = 99 \)

Filled Grid:
| x | 12 | 11 |
|---|----|----|
| 10 | 120 | 110 |
| 9 | 108 | 99 |

Section B: Fill in the multiplication grids

#### Grid 1:
| x | 2 | 5 | 7 |
|---|---|---|---|
| 6 | | | |
| 3 | | | |
| 12 | | | |

- Row 1, Column 1: \( 6 \times 2 = 12 \)
- Row 1, Column 2: \( 6 \times 5 = 30 \)
- Row 1, Column 3: \( 6 \times 7 = 42 \)
- Row 2, Column 1: \( 3 \times 2 = 6 \)
- Row 2, Column 2: \( 3 \times 5 = 15 \)
- Row 2, Column 3: \( 3 \times 7 = 21 \)
- Row 3, Column 1: \( 12 \times 2 = 24 \)
- Row 3, Column 2: \( 12 \times 5 = 60 \)
- Row 3, Column 3: \( 12 \times 7 = 84 \)

Filled Grid:
| x | 2 | 5 | 7 |
|---|---|---|---|
| 6 | 12 | 30 | 42 |
| 3 | 6 | 15 | 21 |
| 12 | 24 | 60 | 84 |

#### Grid 2:
| x | 8 | 7 | 4 |
|---|---|---|---|
| 5 | | | |
| 2 | | | |
| 9 | | | |

- Row 1, Column 1: \( 5 \times 8 = 40 \)
- Row 1, Column 2: \( 5 \times 7 = 35 \)
- Row 1, Column 3: \( 5 \times 4 = 20 \)
- Row 2, Column 1: \( 2 \times 8 = 16 \)
- Row 2, Column 2: \( 2 \times 7 = 14 \)
- Row 2, Column 3: \( 2 \times 4 = 8 \)
- Row 3, Column 1: \( 9 \times 8 = 72 \)
- Row 3, Column 2: \( 9 \times 7 = 63 \)
- Row 3, Column 3: \( 9 \times 4 = 36 \)

Filled Grid:
| x | 8 | 7 | 4 |
|---|---|---|---|
| 5 | 40 | 35 | 20 |
| 2 | 16 | 14 | 8 |
| 9 | 72 | 63 | 36 |

#### Grid 3:
| x | 8 | 0 | 4 |
|---|---|---|---|
| 7 | | | |
| 5 | | | |
| 2 | | | |

- Row 1, Column 1: \( 7 \times 8 = 56 \)
- Row 1, Column 2: \( 7 \times 0 = 0 \)
- Row 1, Column 3: \( 7 \times 4 = 28 \)
- Row 2, Column 1: \( 5 \times 8 = 40 \)
- Row 2, Column 2: \( 5 \times 0 = 0 \)
- Row 2, Column 3: \( 5 \times 4 = 20 \)
- Row 3, Column 1: \( 2 \times 8 = 16 \)
- Row 3, Column 2: \( 2 \times 0 = 0 \)
- Row 3, Column 3: \( 2 \times 4 = 8 \)

Filled Grid:
| x | 8 | 0 | 4 |
|---|---|---|---|
| 7 | 56 | 0 | 28 |
| 5 | 40 | 0 | 20 |
| 2 | 16 | 0 | 8 |

#### Grid 4:
| x | 11 | 8 | 9 |
|---|----|---|---|
| 12 | | | |
| 7 | | | |
| 6 | | | |

- Row 1, Column 1: \( 12 \times 11 = 132 \)
- Row 1, Column 2: \( 12 \times 8 = 96 \)
- Row 1, Column 3: \( 12 \times 9 = 108 \)
- Row 2, Column 1: \( 7 \times 11 = 77 \)
- Row 2, Column 2: \( 7 \times 8 = 56 \)
- Row 2, Column 3: \( 7 \times 9 = 63 \)
- Row 3, Column 1: \( 6 \times 11 = 66 \)
- Row 3, Column 2: \( 6 \times 8 = 48 \)
- Row 3, Column 3: \( 6 \times 9 = 54 \)

Filled Grid:
| x | 11 | 8 | 9 |
|---|----|---|---|
| 12 | 132 | 96 | 108 |
| 7 | 77 | 56 | 63 |
| 6 | 66 | 48 | 54 |

Final Answer:

\boxed{
\begin{array}{c}
\text{Section A:} \\
\begin{array}{|c|c|c|}
\hline
x & 3 & 5 \\
\hline
2 & 6 & 10 \\
\hline
8 & 24 & 40 \\
\hline
\end{array}
\quad
\begin{array}{|c|c|c|}
\hline
x & 6 & 8 \\
\hline
4 & 24 & 32 \\
\hline
5 & 30 & 40 \\
\hline
\end{array}
\quad
\begin{array}{|c|c|c|}
\hline
x & 7 & 5 \\
\hline
6 & 42 & 30 \\
\hline
1 & 7 & 5 \\
\hline
\end{array}
\\
\begin{array}{|c|c|c|}
\hline
x & 12 & 3 \\
\hline
5 & 60 & 15 \\
\hline
6 & 72 & 18 \\
\hline
\end{array}
\quad
\begin{array}{|c|c|c|}
\hline
x & 4 & 7 \\
\hline
11 & 44 & 77 \\
\hline
4 & 16 & 28 \\
\hline
\end{array}
\quad
\begin{array}{|c|c|c|}
\hline
x & 10 & 3 \\
\hline
7 & 70 & 21 \\
\hline
9 & 90 & 27 \\
\hline
\end{array}
\\
\begin{array}{|c|c|c|}
\hline
x & 5 & 6 \\
\hline
4 & 20 & 24 \\
\hline
2 & 10 & 12 \\
\hline
\end{array}
\quad
\begin{array}{|c|c|c|}
\hline
x & 8 & 9 \\
\hline
6 & 48 & 54 \\
\hline
7 & 56 & 63 \\
\hline
\end{array}
\quad
\begin{array}{|c|c|c|}
\hline
x & 12 & 11 \\
\hline
10 & 120 & 110 \\
\hline
9 & 108 & 99 \\
\hline
\end{array}
\\
\text{Section B:} \\
\begin{array}{|c|c|c|c|}
\hline
x & 2 & 5 & 7 \\
\hline
6 & 12 & 30 & 42 \\
\hline
3 & 6 & 15 & 21 \\
\hline
12 & 24 & 60 & 84 \\
\hline
\end{array}
\quad
\begin{array}{|c|c|c|c|}
\hline
x & 8 & 7 & 4 \\
\hline
5 & 40 & 35 & 20 \\
\hline
2 & 16 & 14 & 8 \\
\hline
9 & 72 & 63 & 36 \\
\hline
\end{array}
\\
\begin{array}{|c|c|c|c|}
\hline
x & 8 & 0 & 4 \\
\hline
7 & 56 & 0 & 28 \\
\hline
5 & 40 & 0 & 20 \\
\hline
2 & 16 & 0 & 8 \\
\hline
\end{array}
\quad
\begin{array}{|c|c|c|c|}
\hline
x & 11 & 8 & 9 \\
\hline
12 & 132 & 96 & 108 \\
\hline
7 & 77 & 56 & 63 \\
\hline
6 & 66 & 48 & 54 \\
\hline
\end{array}
\end{array}
}