Challenge students to find the missing values in these equivalent ratio tables to strengthen their understanding of proportions.

Sure! Let’s solve each Equivalent Ratio Table one by one. The key idea is that in an equivalent ratio table, the relationship (ratio) between the top and bottom numbers in each column must be the same — or equivalently, the ratio between corresponding numbers in any row must be consistent.

We’ll go table by table and fill in the blanks.

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🔹 Table 1 (Top-left):

```
? 2 ? ?
3 6 9 18
```

Look at the second column: 2 → 6 → ratio = 6 ÷ 2 = 3

So, bottom = 3 × top

→ First column: top = ? , bottom = 3 → top = 3 ÷ 3 = 1

→ Third column: bottom = 9 → top = 9 ÷ 3 = 3

→ Fourth column: bottom = 18 → top = 18 ÷ 3 = 6

✔ Answer: 1, 3, 6

---

🔹 Table 2 (Top-right):

```
10 ? 15 18
? 80 ? 72
```

Check column 1: 10 → ?
Column 4: 18 → 72 → ratio = 72 ÷ 18 = 4

So, bottom = 4 × top

→ Column 1: top=10 → bottom=10×4 = 40

→ Column 2: bottom=80 → top=80÷4 = 20

→ Column 3: top=15 → bottom=15×4 = 60

✔ Answer: 20, 40, 60

---

🔹 Table 3 (Middle-left):

```
? ? 12 100
20 15 60 ?
```

Check column 3: 12 → 60 → ratio = 60 ÷ 12 = 5

So, bottom = 5 × top

→ Column 1: bottom=20 → top=20÷5 = 4

→ Column 2: bottom=15 → top=15÷5 = 3

→ Column 4: top=100 → bottom=100×5 = 500

✔ Answer: 4, 3, 500

---

🔹 Table 4 (Middle-right):

```
? ? ? 10
30 6 18 20
```

Check column 4: 10 → 20 → ratio = 20 ÷ 10 = 2

So, bottom = 2 × top

→ Column 1: bottom=30 → top=30÷2 = 15

→ Column 2: bottom=6 → top=6÷2 = 3

→ Column 3: bottom=18 → top=18÷2 = 9

✔ Answer: 15, 3, 9

---

🔹 Table 5 (Next left):

```
1 9 ? 8
5 ? 50 ?
```

Check column 1: 1 → 5 → ratio = 5 ÷ 1 = 5

So, bottom = 5 × top

→ Column 2: top=9 → bottom=9×5 = 45

→ Column 3: bottom=50 → top=50÷5 = 10

→ Column 4: top=8 → bottom=8×5 = 40

✔ Answer: 10, 45, 40

---

🔹 Table 6 (Next right):

```
7 ? 20 10
? 45 60 ?
```

Check column 3: 20 → 60 → ratio = 60 ÷ 20 = 3

So, bottom = 3 × top

→ Column 1: top=7 → bottom=7×3 = 21

→ Column 2: bottom=45 → top=45÷3 = 15

→ Column 4: top=10 → bottom=10×3 = 30

✔ Answer: 15, 21, 30

---

🔹 Table 7 (Bottom-left):

```
5 ? 20 12
15 30 ? ?
```

Check column 1: 5 → 15 → ratio = 15 ÷ 5 = 3

So, bottom = 3 × top

→ Column 2: bottom=30 → top=30÷3 = 10

→ Column 3: top=20 → bottom=20×3 = 60

→ Column 4: top=12 → bottom=12×3 = 36

✔ Answer: 10, 60, 36

---

🔹 Table 8 (Bottom-right):

```
? 40 9 ?
20 80 ? 40
```

Check column 2: 40 → 80 → ratio = 80 ÷ 40 = 2

So, bottom = 2 × top

→ Column 1: bottom=20 → top=20÷2 = 10

→ Column 3: top=9 → bottom=9×2 = 18

→ Column 4: bottom=40 → top=40÷2 = 20

✔ Answer: 10, 18, 20

---

🔹 Table 9 (Second from bottom left):

```
? ? 20 10
90 48 60 ?
```

Check column 3: 20 → 60 → ratio = 60 ÷ 20 = 3

So, bottom = 3 × top

→ Column 1: bottom=90 → top=90÷3 = 30

→ Column 2: bottom=48 → top=48÷3 = 16

→ Column 4: top=10 → bottom=10×3 = 30

✔ Answer: 30, 16, 30

---

🔹 Table 10 (Second from bottom right):

```
4 ? ? 5
24 18 60 ?
```

Check column 1: 4 → 24 → ratio = 24 ÷ 4 = 6

So, bottom = 6 × top

→ Column 2: bottom=18 → top=18÷6 = 3

→ Column 3: bottom=60 → top=60÷6 = 10

→ Column 4: top=5 → bottom=5×6 = 30

✔ Answer: 3, 10, 30

---

🔹 Table 11 (Bottom-left of last row):

```
? 40 9 ?
50 ? 90 300
```

Check column 3: 9 → 90 → ratio = 90 ÷ 9 = 10

So, bottom = 10 × top

→ Column 1: bottom=50 → top=50÷10 = 5

→ Column 2: top=40 → bottom=40×10 = 400

→ Column 4: bottom=300 → top=300÷10 = 30

✔ Answer: 5, 400, 30

---

🔹 Table 12 (Bottom-right of last row):

```
6 20 ? 10
? 60 42 ?
```

Check column 2: 20 → 60 → ratio = 60 ÷ 20 = 3

So, bottom = 3 × top

→ Column 1: top=6 → bottom=6×3 = 18

→ Column 3: bottom=42 → top=42÷3 = 14

→ Column 4: top=10 → bottom=10×3 = 30

✔ Answer: 14, 18, 30

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## ✔ Final Answers (Filled Tables):

Table 1:

1, 3, 6

Table 2:

20, 40, 60

Table 3:

4, 3, 500

Table 4:

15, 3, 9

Table 5:

10, 45, 40

Table 6:

15, 21, 30

Table 7:

10, 60, 36

Table 8:

10, 18, 20

Table 9:

30, 16, 30

Table 10:

3, 10, 30

Table 11:

5, 400, 30

Table 12:

14, 18, 30

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You can now fill these into your worksheet!

Let me know if you’d like this formatted as a printable answer sheet. 😊