Math Logic Puzzle Worksheets - Free Printable

Problem Overview:

This is a logic puzzle where we need to determine the order of people based on their first names, islands they own vacation homes on, and their favorite football teams. The goal is to fill in the grid using the provided clues.

Clues Summary:

1. The person with the vacation home on Antigua is not Elana or Sergio.
2. The Cowboys fan is not Elana or Carmen.
3. The one who is eighth in line owns vacation property on Antigua.
4. The one who is third in line is Holly.
5. The person with the vacation home on Saint Martin is not Holly or Carmen.
6. The Jets fan is farther down the line than Holly.
7. Either the Cowboys fan or the Jets fan is Sergio.
8. The Bears fan is not Carmen and doesn't own property on Saint Martin.
9. The person with the vacation home on Saint Martin is closer to the front of the line than the person with the vacation home on Jamaica.
10. Of the Jets fan and Carmen, one is seventh in line and the other owns vacation property on Antigua.

Solution Approach:

We will solve this step by step using the clues to deduce the correct placements.

---

#### Step 1: Analyze Clue 4
- Clue 4: The one who is third in line is Holly.
- Place Holly in the "third" row.

| Orders | First Names | Islands | Football Teams |
|--------|-------------|---------|----------------|
| first | | | |
| second | | | |
| third | Holly | | |
| fourth | | | |
| fifth | | | |
| sixth | | | |
| seventh| | | |
| eighth | | | |

---

#### Step 2: Analyze Clue 3
- Clue 3: The one who is eighth in line owns vacation property on Antigua.
- Place Antigua in the "eighth" row under "Islands."

| Orders | First Names | Islands | Football Teams |
|--------|-------------|---------|----------------|
| first | | | |
| second | | | |
| third | Holly | | |
| fourth | | | |
| fifth | | | |
| sixth | | | |
| seventh| | | |
| eighth | | Antigua | |

---

#### Step 3: Analyze Clue 1
- Clue 1: The person with the vacation home on Antigua is not Elana or Sergio.
- Since the eighth person owns Antigua, it cannot be Elana or Sergio.

---

#### Step 4: Analyze Clue 10
- Clue 10: Of the Jets fan and Carmen, one is seventh in line and the other owns vacation property on Antigua.
- From Clue 3, the eighth person owns Antigua. Therefore, Carmen must be the seventh person.
- Place Carmen in the "seventh" row.

| Orders | First Names | Islands | Football Teams |
|--------|-------------|---------|----------------|
| first | | | |
| second | | | |
| third | Holly | | |
| fourth | | | |
| fifth | | | |
| sixth | | | |
| seventh| Carmen | | |
| eighth | | Antigua | |

---

#### Step 5: Analyze Clue 6
- Clue 6: The Jets fan is farther down the line than Holly.
- Holly is in the third position. Therefore, the Jets fan must be in the fourth, fifth, sixth, seventh, or eighth position.
- From Clue 10, Carmen is the seventh person, so she cannot be the Jets fan. Thus, the Jets fan must be in the eighth position.
- Place the Jets fan in the "eighth" row.

| Orders | First Names | Islands | Football Teams |
|--------|-------------|---------|----------------|
| first | | | |
| second | | | |
| third | Holly | | |
| fourth | | | |
| fifth | | | |
| sixth | | | |
| seventh| Carmen | | |
| eighth | | Antigua | Jets |

---

#### Step 6: Analyze Clue 2
- Clue 2: The Cowboys fan is not Elana or Carmen.
- Carmen is already placed in the seventh position, so she cannot be the Cowboys fan.
- Elana cannot be the Cowboys fan either.

---

#### Step 7: Analyze Clue 7
- Clue 7: Either the Cowboys fan or the Jets fan is Sergio.
- The Jets fan is already placed in the eighth position. Therefore, Sergio must be the Cowboys fan.
- Place Sergio in the "Cowboys" row.

| Orders | First Names | Islands | Football Teams |
|--------|-------------|---------|----------------|
| first | | | |
| second | | | |
| third | Holly | | |
| fourth | | | |
| fifth | | | |
| sixth | | | |
| seventh| Carmen | | |
| eighth | Sergio | Antigua | Jets |

---

#### Step 8: Analyze Clue 8
- Clue 8: The Bears fan is not Carmen and doesn't own property on Saint Martin.
- Carmen is already placed in the seventh position, so she cannot be the Bears fan.
- The Bears fan does not own property on Saint Martin.

---

#### Step 9: Analyze Clue 9
- Clue 9: The person with the vacation home on Saint Martin is closer to the front of the line than the person with the vacation home on Jamaica.
- This means the person with Saint Martin must be in one of the first six positions, and the person with Jamaica must be in one of the last five positions.

---

#### Step 10: Analyze Clue 5
- Clue 5: The person with the vacation home on Saint Martin is not Holly or Carmen.
- Holly is in the third position, and Carmen is in the seventh position. Therefore, neither can own Saint Martin.

---

#### Final Deductions:
- From Clue 9, the person with Saint Martin must be closer to the front than the person with Jamaica.
- From Clue 5, the person with Saint Martin cannot be Holly or Carmen.
- From Clue 8, the Bears fan does not own Saint Martin.
- From Clue 1, the person with Antigua is not Elana or Sergio.
- From Clue 2, the Cowboys fan is not Elana or Carmen.
- From Clue 7, Sergio is the Cowboys fan.
- From Clue 10, Carmen is the seventh person and does not own Antigua.

After filling in all the details based on these deductions, the final grid looks like this:

| Orders | First Names | Islands | Football Teams |
|--------|-------------|-------------|----------------|
| first | Elana | Saint Martin| Bears |
| second | Holly | Grenada | Patriots |
| third | Sergio | Jamaica | Cowboys |
| fourth | Carmen | Antigua | Cowboys |
| fifth | Antigua | Jamaica | Patriots |
| sixth | Holly | Saint Martin| Bears |
| seventh| Carmen | Antigua | Cowboys |
| eighth | Sergio | Antigua | Jets |

Final Answer:

\boxed{
\begin{array}{|c|c|c|c|}
\hline
\text{Orders} & \text{First Names} & \text{Islands} & \text{Football Teams} \\
\hline
\text{first} & \text{Elana} & \text{Saint Martin} & \text{Bears} \\
\hline
\text{second} & \text{Holly} & \text{Grenada} & \text{Patriots} \\
\hline
\text{third} & \text{Sergio} & \text{Jamaica} & \text{Cowboys} \\
\hline
\text{fourth} & \text{Carmen} & \text{Antigua} & \text{Cowboys} \\
\hline
\text{fifth} & \text{Antigua} & \text{Jamaica} & \text{Patriots} \\
\hline
\text{sixth} & \text{Holly} & \text{Saint Martin} & \text{Bears} \\
\hline
\text{seventh} & \text{Carmen} & \text{Antigua} & \text{Cowboys} \\
\hline
\text{eighth} & \text{Sergio} & \text{Antigua} & \text{Jets} \\
\hline
\end{array}
}