Math challenge worksheet using fruit symbols in a multiplication table.

Problem Analysis:

The task involves solving a multiplication table where symbols (fruits and other items) represent numbers. We need to determine the value of each symbol using the given clues in the table.

#### Multiplication Table:
The table is structured as follows:
- Rows and columns are labeled with numbers or symbols.
- The entries in the table are the products of the row label and the column label.

#### Known Information:
1. The top row labels are: `2`, `🍊` (orange), `6`.
2. The leftmost column labels are: `🍒` (cherries), `🍇` (grapes), `🍉` (watermelon), `🥥` (coconut).
3. Some entries in the table are already filled:
- `🍒 × 2 = 2`
- `🍒 × 🍊 = 6`
- `🍇 × 6 = 24`
- `🍉 × 🍊 = 18`

#### Goal:
Determine the values of the symbols (`🍊`, `🍇`, `🍉`, `🥥`) and fill in the missing entries at the bottom of the page.

---

Step-by-Step Solution:

#### Step 1: Determine the value of `🍒` (cherries)
From the table:
- `🍒 × 2 = 2`
This implies:
$$
\text{Value of } 🍒 = \frac{2}{2} = 1
$$

#### Step 2: Determine the value of `🍊` (orange)
From the table:
- `🍒 × 🍊 = 6`
Substitute the value of `🍒`:
$$
1 \times \text{Value of } 🍊 = 6
$$
This implies:
$$
\text{Value of } 🍊 = 6
$$

#### Step 3: Determine the value of `🍇` (grapes)
From the table:
- `🍇 × 6 = 24`
Let the value of `🍇` be \( x \):
$$
x \times 6 = 24
$$
Solve for \( x \):
$$
x = \frac{24}{6} = 4
$$
So, the value of `🍇` is:
$$
\text{Value of } 🍇 = 4
$$

#### Step 4: Determine the value of `🍉` (watermelon)
From the table:
- `🍉 × 🍊 = 18`
Substitute the value of `🍊`:
$$
\text{Value of } 🍉 \times 6 = 18
$$
Solve for the value of `🍉`:
$$
\text{Value of } 🍉 = \frac{18}{6} = 3
$$

#### Step 5: Determine the value of `🥥` (coconut)
The value of `🥥` is the entry in the last row and last column of the table. To find it, we use the row label `6` and the column label `🥥`. However, we need to first complete the table.

#### Step 6: Complete the multiplication table
Using the determined values:
- Row labels: `2`, `🍊 = 6`, `6`
- Column labels: `🍒 = 1`, `🍇 = 4`, `🍉 = 3`, `🥥`

Fill in the missing entries:
1. `🍇 × 2 = 4 × 2 = 8`
2. `🍇 × 🍊 = 4 × 6 = 24` (already given)
3. `🍇 × 6 = 4 × 6 = 24` (already given)
4. `🍉 × 2 = 3 × 2 = 6`
5. `🍉 × 🍊 = 3 × 6 = 18` (already given)
6. `🍉 × 6 = 3 × 6 = 18`
7. `6 × 🍒 = 6 × 1 = 6`
8. `6 × 🍇 = 6 × 4 = 24`
9. `6 × 🍉 = 6 × 3 = 18`
10. `6 × 🥥 = 6 × ?` (to be determined)

#### Step 7: Determine the value of `🥥`
The value of `🥥` is the entry in the last row and last column:
- Row label: `6`
- Column label: `🥥`
Let the value of `🥥` be \( y \):
$$
6 \times y = \text{Entry in the last cell}
$$
From the table, the last cell is empty, so we need to solve for \( y \) based on the pattern or additional information. However, since no further constraints are given, we assume the pattern holds, and the value of `🥥` is consistent with the structure.

#### Step 8: Fill in the missing entries at the bottom
The bottom section asks for the products:
1. `🍊 × 🍇 = 6 × 4 = 24`
2. `🍊 × 🍉 = 6 × 3 = 18`
3. `🍒 × 🍇 = 1 × 4 = 4`
4. `🍒 × 🍉 = 1 × 3 = 3`
5. `🥥 = ?` (value to be determined from the pattern)

---

Final Answer:

The values of the symbols are:
- `🍊 = 6`
- `🍇 = 4`
- `🍉 = 3`
- `🥥 = ?` (pattern-dependent)

The completed table and answers are:
$$
\boxed{24, 18, 4, 3, ?}
$$