Ratio Tables Worksheets - Math Monks - Free Printable

Let's solve each of the four problems step by step. Each involves completing a ratio table based on a given rate and then plotting the corresponding points on a graph.

---

Problem 1: Notebooks

Given:
A notebook costs $2. Complete the table for up to 8 notebooks.

| Notebooks | 1 | 3 | 6 | 8 |
|-----------|---|---|---|---|
| Price ($) | 2 | | | |

Step-by-step:

- 1 notebook = $2
- 3 notebooks = 3 × $2 = $6
- 6 notebooks = 6 × $2 = $12
- 8 notebooks = 8 × $2 = $16

Completed Table:

| Notebooks | 1 | 3 | 6 | 8 |
|-----------|---|---|---|---|
| Price ($) | 2 | 6 | 12 | 16 |

Graphing:
Plot the points: (1, 2), (3, 6), (6, 12), (8, 16)
These lie on a straight line through the origin since it's a proportional relationship.

---

Problem 2: Marks for Correct Answers

Given:
For every correct answer, 3 marks are awarded. Complete the table up to 10 questions.

| Correct answers | 1 | 4 | 8 | 10 |
|------------------|---|---|---|----|
| Marks | 3 | | | |

Step-by-step:

- 1 correct → 3 marks
- 4 correct → 4 × 3 = 12 marks
- 8 correct → 8 × 3 = 24 marks
- 10 correct → 10 × 3 = 30 marks

Completed Table:

| Correct answers | 1 | 4 | 8 | 10 |
|------------------|---|---|---|----|
| Marks | 3 | 12 | 24 | 30 |

Graphing:
Plot the points: (1, 3), (4, 12), (8, 24), (10, 30)
Again, this is a linear relationship with slope 3.

---

Problem 3: Chicken Pieces

Given:
Each piece of chicken costs $2.50. Complete the table for up to 5 pieces.

| Pieces of chicken | 1 | 2 | 4 | 5 |
|--------------------|---|---|---|---|
| Price ($) | 2.5 | | | |

Step-by-step:

- 1 piece = $2.50
- 2 pieces = 2 × 2.50 = $5.00
- 4 pieces = 4 × 2.50 = $10.00
- 5 pieces = 5 × 2.50 = $12.50

Completed Table:

| Pieces of chicken | 1 | 2 | 4 | 5 |
|--------------------|---|---|---|---|
| Price ($) | 2.5 | 5 | 10 | 12.5 |

Graphing:
Plot: (1, 2.5), (2, 5), (4, 10), (5, 12.5)
This is also a proportional relationship with slope 2.5.

---

Problem 4: Books Printed

Given:
Every minute, 4 books are printed. Complete the table for 1 to 5 minutes.

| Minutes | 1 | 2 | 4 | 5 |
|---------|---|---|---|---|
| Books printed | 4 | | | |

Step-by-step:

- 1 min → 4 books
- 2 min → 2 × 4 = 8 books
- 4 min → 4 × 4 = 16 books
- 5 min → 5 × 4 = 20 books

Completed Table:

| Minutes | 1 | 2 | 4 | 5 |
|---------|---|---|---|---|
| Books printed | 4 | 8 | 16 | 20 |

Graphing:
Plot: (1, 4), (2, 8), (4, 16), (5, 20)
Linear relationship with slope 4.

---

✔ Final Answer Summary:

#### 1) Notebooks
| Notebooks | 1 | 3 | 6 | 8 |
|-----------|---|---|---|---|
| Price ($) | 2 | 6 | 12 | 16 |

#### 2) Marks
| Correct answers | 1 | 4 | 8 | 10 |
|------------------|---|---|---|----|
| Marks | 3 | 12 | 24 | 30 |

#### 3) Chicken
| Pieces of chicken | 1 | 2 | 4 | 5 |
|--------------------|---|---|---|---|
| Price ($) | 2.5 | 5 | 10 | 12.5 |

#### 4) Books Printed
| Minutes | 1 | 2 | 4 | 5 |
|---------|---|---|---|---|
| Books printed | 4 | 8 | 16 | 20 |

---

📈 Graphing Instructions:

For each problem:
1. Plot the ordered pairs from the completed tables.
2. Connect the points with a straight line (since all are proportional relationships).
3. The lines will pass through the origin (0,0), as no quantity means no cost or output.

All graphs represent direct variation (proportional relationships).

Let me know if you'd like the actual graphs drawn or visualized!