Multiplication Table Worksheets: Free Printable Math Puzzles ... - Free Printable

Problem Description:

The image shows three multiplication table puzzles where each cell in the grid represents a product of the corresponding row and column values. The goal is to determine the missing values in the grids by using the given numbers and solving for the unknowns.

Puzzle 1:

#### Grid:
```
| 🍭 | 🍫 | 🎡
---|----|----|----
8 | 8 | 24 | 144
---|----|----|----
| | |
```

#### Known Values:
- Row labels: 8, 🍦, 🍰
- Column labels: 🍭, 🍫, 🎡
- Given products:
- 8 × 🍭 = 8
- 8 × 🍫 = 24
- 8 × 🎡 = 144

#### Solution:
1. Find the value of 🍭:
\[
8 \times 🍭 = 8 \implies 🍭 = \frac{8}{8} = 1
\]

2. Find the value of 🍫:
\[
8 \times 🍫 = 24 \implies 🍫 = \frac{24}{8} = 3
\]

3. Find the value of 🎡:
\[
8 \times 🎡 = 144 \implies 🎡 = \frac{144}{8} = 18
\]

4. Determine the value of 🍦:
- From the second row ( withd 🍦):
\[
🍦 \times 🍭 = 8 \implies 🍦 \times 1 = 8 \implies 🍦 = 8
\]
- Verify with other columns:
\[
🍦 \times 🍫 = 24 \implies 8 \times 3 = 24 \quad (\text{Correct})
\]
\[
🍦 \times 🎡 = 144 \implies 8 \times 18 = 144 \quad (\text{Correct})
\]

5. Determine the value of 🍰:
- From the third row (with 🍰):
\[
🍰 \times 🍭 = 8 \implies 🍰 \times 1 = 8 \implies 🍰 = 8
\]
- Verify with other columns:
\[
🍰 \times 🍫 = 24 \implies 8 \times 3 = 24 \quad (\text{Correct})
\]
\[
🍰 \times 🎡 = 144 \implies 8 \times 18 = 144 \quad (\text{Correct})
\]

#### Final Grid:
```
| 1 | 3 | 18
---|----|----|----
8 | 8 | 24 | 144
---|----|----|----
8 | 8 | 24 | 144
8 | 8 | 24 | 144
```

Puzzle 2:

#### Grid:
```
| 🥪 | 🥪 | 🍳
---|----|----|----
7 | 7 | 5 |
---|----|----|----
| 3 | |
```

#### Known Values:
- Row labels: 7, 🥤
- Column labels: 🥪, 🥪, 🍳
- Given products:
- 7 × 🥪 = 7
- 7 × 🥪 = 5
- 🥤 × 🥪 = 3

#### Solution:
1. Find the value of 🥪:
\[
7 \times 🥪 = 7 \implies 🥪 = \frac{7}{7} = 1
\]

2. Find the value of 🍳:
\[
7 \times 🍳 = 5 \implies 🍳 = \frac{5}{7}
\]

3. Determine the value of 🥤:
\[
🥤 \times 🥪 = 3 \implies 🥤 \times 1 = 3 \implies 🥤 = 3
\]

4. Complete the grid:
- For the second row:
\[
🥤 \times 🥪 = 3 \quad (\text{Given})
\]
\[
🥤 \times 🍳 = 3 \times \frac{5}{7} = \frac{15}{7}
\]

#### Final Grid:
```
| 1 | 1 | 5/7
---|----|----|-----
7 | 7 | 7 | 5
---|----|----|-----
3 | 3 | 3 | 15/7
```

Puzzle 3:

#### Grid:
```
| 🍞 | 🍼 | 🥛
---|----|----|----
5 | 36 | |
---|----|----|----
7 | | |
---|----|----|----
| 40 | |
```

#### Known Values:
- Row labels: 5, 7, 🍎
- Column labels: 🍞, 🍼, 🥛
- Given products:
- 5 × 🍞 = 36
- 7 × 🍞 = ?
- 🍎 × 🍞 = 40

#### Solution:
1. Find the value of 🍞:
\[
5 \times 🍞 = 36 \implies 🍞 = \frac{36}{5}
\]

2. Find the value of 🍎:
\[
🍎 \times 🍞 = 40 \implies 🍎 \times \frac{36}{5} = 40 \implies 🍎 = \frac{40 \times 5}{36} = \frac{200}{36} = \frac{50}{9}
\]

3. Determine the value of 🍼:
- From the first row:
\[
5 \times 🍼 = ? \quad (\text{Not enough information to solve directly})
\]

4. Determine the value of 🥛:
- From the first row:
\[
5 \times 🥛 = ? \quad (\text{Not enough information to solve directly})
\]

Since there is not enough information to solve for all variables in this grid, we can only determine some values:
- 🍞 = \(\frac{36}{5}\)
- 🍎 = \(\frac{50}{9}\)

#### Final Grid (Partial):
```
| 36/5 | ? | ?
---|------|----|----
5 | 36 | |
---|------|----|----
7 | ? | |
---|------|----|----
50/9 | 40 | |
```

Final Answer:

\[
\boxed{
\begin{array}{l}
\text{Puzzle 1:} \\
\begin{array}{c|c|c}
& 1 & 3 & 18 \\ \hline
8 & 8 & 24 & 144 \\ \hline
8 & 8 & 24 & 144 \\ \hline
8 & 8 & 24 & 144 \\
\end{array} \\
\text{Puzzle 2:} \\
\begin{array}{c|c|c}
& 1 & 1 & \frac{5}{7} \\ \hline
7 & 7 & 7 & 5 \\ \hline
3 & 3 & 3 & \frac{15}{7} \\
\end{array} \\
\text{Puzzle 3:} \\
\text{(Partial)} \\
\begin{array}{c|c|c}
& \frac{36}{5} & ? & ? \\ \hline
5 & 36 & & \\ \hline
7 & & & \\ \hline
\frac{50}{9} & 40 & & \\
\end{array}
\end{array}
}
\]