Ratio Tables Worksheets - Math Monks - Free Printable

Let's solve each ratio table step by step. In a ratio table, the relationship between the two columns is consistent — that means the ratio of the numbers in one column to the other remains constant.

We will find the constant ratio (or multiplier) between the two columns and use it to fill in the missing values.

---

(1)

```
12 | 11
24 | ?
? | 33
60 | ?
```

- First row: 12 → 11 → Ratio = 11/12
- Second row: 24 is double 12 → So second value should be 2 × 11 = 22
- Third row: 33 is how many times 11? 33 ÷ 11 = 3 → So first number is 3 × 12 = 36
- Fourth row: 60 is 5 × 12 → So second value = 5 × 11 = 55

✔ Answer:
```
12 | 11
24 | 22
36 | 33
60 | 55
```

---

(2)

```
5 | 15
? | 30
20 | ?
30 | ?
```

- First row: 5 → 15 → Ratio = 15/5 = 3 → Multiply first column by 3 to get second.
- Second row: 30 ÷ 3 = 10 → So first number is 10
- Third row: 20 × 3 = 60
- Fourth row: 30 × 3 = 90

✔ Answer:
```
5 | 15
10 | 30
20 | 60
30 | 90
```

---

(3)

```
1 | 9
2 | ?
? | 27
5 | ?
```

- First row: 1 → 9 → Ratio = 9
- Second row: 2 × 9 = 18
- Third row: 27 ÷ 9 = 3 → So first number = 3
- Fourth row: 5 × 9 = 45

✔ Answer:
```
1 | 9
2 | 18
3 | 27
5 | 45
```

---

(4)

```
1 | 3
3 | ?
5 | ?
7 | ?
```

- First row: 1 → 3 → Ratio = 3
- Second row: 3 × 3 = 9
- Third row: 5 × 3 = 15
- Fourth row: 7 × 3 = 21

✔ Answer:
```
1 | 3
3 | 9
5 | 15
7 | 21
```

---

(5)

```
6 | ?
8 | 28
? | 35
12 | ?
```

- We know 8 → 28 → Ratio = 28 / 8 = 3.5
- So, multiply first column by 3.5 to get second.
- First row: 6 × 3.5 = 21
- Third row: 35 ÷ 3.5 = 10 → So first number = 10
- Fourth row: 12 × 3.5 = 42

✔ Answer:
```
6 | 21
8 | 28
10 | 35
12 | 42
```

---

(6)

```
12 | ?
36 | 15
? | 20
? | 25
```

- Second row: 36 → 15 → So ratio = 15 / 36 = 5/12
- So, second column = first column × (5/12)
- First row: 12 × (5/12) = 5
- Third row: 20 ÷ (5/12) = 20 × (12/5) = 48
- Fourth row: 25 ÷ (5/12) = 25 × (12/5) = 60

✔ Answer:
```
12 | 5
36 | 15
48 | 20
60 | 25
```

---

(7)

```
8 | 96
4 | ?
? | 120
2 | ?
```

- First row: 8 → 96 → Ratio = 96 / 8 = 12
- So, second column = first column × 12
- Second row: 4 × 12 = 48
- Third row: 120 ÷ 12 = 10 → So first number = 10
- Fourth row: 2 × 12 = 24

✔ Answer:
```
8 | 96
4 | 48
10 | 120
2 | 24
```

---

(8)

```
7 | 4
? | 8
? | 16
21 | ?
```

- First row: 7 → 4 → Ratio = 4/7
- So, second column = first column × (4/7)
- Second row: 8 ÷ (4/7) = 8 × (7/4) = 14
- Third row: 16 ÷ (4/7) = 16 × (7/4) = 28
- Fourth row: 21 × (4/7) = 12

✔ Answer:
```
7 | 4
14 | 8
28 | 16
21 | 12
```

---

✔ Final Answers:

(1)
| 12 | 11 |
| 24 | 22 |
| 36 | 33 |
| 60 | 55 |

(2)
| 5 | 15 |
| 10 | 30 |
| 20 | 60 |
| 30 | 90 |

(3)
| 1 | 9 |
| 2 | 18 |
| 3 | 27 |
| 5 | 45 |

(4)
| 1 | 3 |
| 3 | 9 |
| 5 | 15 |
| 7 | 21 |

(5)
| 6 | 21 |
| 8 | 28 |
| 10 | 35 |
| 12 | 42 |

(6)
| 12 | 5 |
| 36 | 15 |
| 48 | 20 |
| 60 | 25 |

(7)
| 8 | 96 |
| 4 | 48 |
| 10 | 120 |
| 2 | 24 |

(8)
| 7 | 4 |
| 14 | 8 |
| 28 | 16 |
| 21 | 12 |

---

📌 Key Strategy:

For each table:
1. Find the ratio between known values in the same row.
2. Use that ratio to find missing values.
3. If the ratio is not clear, divide second column by first column to get the multiplier.
4. Apply that multiplier consistently.

Let me know if you'd like this explained visually or with diagrams!