Ratio Tables Worksheets - Math Monks - Free Printable

To complete these ratio tables, we need to find the relationship between the two columns. The key is that the ratio (or fraction) between the numbers in each row must stay the same.

Let's solve them one by one:

Table (1)
* Row 1: 12 and 11. The ratio is 12:11.
* Row 2: We have 24 on the left. Since $24 = 12 \times 2$, we multiply the right side by 2 as well. $11 \times 2 = 22$.
* Row 3: We have 33 on the right. Since $33 = 11 \times 3$, we multiply the left side by 3. $12 \times 3 = 36$.
* Row 4: We have 60 on the left. Since $60 = 12 \times 5$, we multiply the right side by 5. $11 \times 5 = 55$.
* *Blanks filled:* 22, 36, 55

Table (2)
* Row 1: 5 and 15. Notice that $5 \times 3 = 15$. So, multiply the left column by 3 to get the right column.
* Row 2: Right side is 30. $30 \div 3 = 10$. So the left side is 10.
* Row 3: Left side is 20. $20 \times 3 = 60$.
* Row 4: Left side is 30. $30 \times 3 = 90$.
* *Blanks filled:* 10, 60, 90

Table (3)
* Row 1: 1 and 9. Multiply left by 9 to get right.
* Row 2: Left is 2. $2 \times 9 = 18$.
* Row 3: Right is 27. $27 \div 9 = 3$.
* Row 4: Left is 5. $5 \times 9 = 45$.
* *Blanks filled:* 18, 3, 45

Table (4)
* Row 1: 1 and 3. Multiply left by 3 to get right.
* Row 2: Left is 3. $3 \times 3 = 9$.
* Row 3: Left is 5. $5 \times 3 = 15$.
* Row 4: Left is 7. $7 \times 3 = 21$.
* *Blanks filled:* 9, 15, 21

Table (5)
* Row 2: 8 and 28. Let's simplify the ratio $8:28$. Both are divisible by 4. $8/4 = 2$ and $28/4 = 7$. Ratio is 2:7. Or, look at Row 1: 6 and ?. If ratio is 2:7, then for 6 ($2\times3$), the answer is $7\times3=21$. Let's check Row 3: ? and 35. If right is 35 ($7\times5$), left is $2\times5=10$. Check Row 4: 12 and ?. Left is $2\times6$, so right is $7\times6=42$.
* Row 1: 6 -> 21
* Row 3: 10 -> 35
* Row 4: 12 -> 42
* *Blanks filled:* 21, 10, 42

Table (6)
* Row 2: 36 and 15. Simplify ratio $36:15$. Divide by 3 -> $12:5$.
* Row 1: 12 and ?. Left is 12 ($12\times1$), so right is $5\times1=5$.
* Row 3: ? and 20. Right is 20 ($5\times4$), so left is $12\times4=48$.
* Row 4: ? and 25. Right is 25 ($5\times5$), so left is $12\times5=60$.
* *Blanks filled:* 5, 48, 60

Table (7)
* Row 1: 8 and 96. $96 \div 8 = 12$. Multiply left by 12 to get right.
* Row 2: Left is 4. $4 \times 12 = 48$.
* Row 3: Right is 120. $120 \div 12 = 10$.
* Row 4: Left is 2. $2 \times 12 = 24$.
* *Blanks filled:* 48, 10, 24

Table (8)
* Row 1: 7 and 4. Ratio is 7:4.
* Row 2: Right is 8 ($4\times2$). Left is $7\times2=14$.
* Row 3: Right is 16 ($4\times4$). Left is $7\times4=28$.
* Row 4: Left is 21 ($7\times3$). Right is $4\times3=12$.
* *Blanks filled:* 14, 28, 12

Final Answer:
(1) 22, 36, 55
(2) 10, 60, 90
(3) 18, 3, 45
(4) 9, 15, 21
(5) 21, 10, 42
(6) 5, 48, 60
(7) 48, 10, 24
(8) 14, 28, 12