Printable Ratios Worksheet for students to practice finding equivalent ratios by filling in missing values.
Ratios Worksheet with fill-in-the-blank problems to make equivalent ratios, featuring 10 numbered questions with missing values in ratio equations.
WEBP
742×1050
29.2 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #688819
⭐
Show Answer Key & Explanations
Step-by-step solution for: Ratio Worksheets - Math Monks
▼
Show Answer Key & Explanations
Step-by-step solution for: Ratio Worksheets - Math Monks
To solve these problems, we need to find equivalent ratios. This means keeping the relationship between the two numbers the same.
Think of it like a recipe: if you double one ingredient, you must double the other to keep the taste the same.
Here is how to solve each one step-by-step:
How to find the missing number:
1. Look at the pair where you have both numbers (the starting ratio).
2. Look at the blank you need to fill. Is it next to a known number?
3. Ask: "What did I multiply the known number by to get the new number?"
4. Multiply the *other* part of the ratio by that same amount.
---
(1) 1 : 2
* To get from 2 to 4, we multiply by 2. So, $1 \times 2 = \mathbf{2}$. (Ratio is 2:4)
* To get from 2 to 6, we multiply by 3. So, $1 \times 3 = \mathbf{3}$. (Ratio is 3:6)
* To get from 1 to 4, we multiply by 4. So, $2 \times 4 = \mathbf{8}$. (Ratio is 4:8)
* To get from 2 to 10, we multiply by 5. So, $1 \times 5 = \mathbf{5}$. (Ratio is 5:10)
* To get from 1 to 6, we multiply by 6. So, $2 \times 6 = \mathbf{12}$. (Ratio is 6:12)
(2) 1 : 3
* To get from 3 to 6, multiply by 2. So, $1 \times 2 = \mathbf{2}$.
* To get from 1 to 3, multiply by 3. So, $3 \times 3 = \mathbf{9}$.
* To get from 3 to 12, multiply by 4. So, $1 \times 4 = \mathbf{4}$.
* To get from 1 to 5, multiply by 5. So, $3 \times 5 = \mathbf{15}$.
* To get from 1 to 6, multiply by 6. So, $3 \times 6 = \mathbf{18}$.
(3) 1 : 7
* To get from 7 to 14, multiply by 2. So, $1 \times 2 = \mathbf{2}$.
* To get from 7 to 21, multiply by 3. So, $1 \times 3 = \mathbf{3}$.
* To get from 1 to 4, multiply by 4. So, $7 \times 4 = \mathbf{28}$.
* To get from 1 to 5, multiply by 5. So, $7 \times 5 = \mathbf{35}$.
* To get from 7 to 42, multiply by 6. So, $1 \times 6 = \mathbf{6}$.
(4) 2 : 5
* To get from 5 to 10, multiply by 2. So, $2 \times 2 = \mathbf{4}$.
* To get from 5 to 15, multiply by 3. So, $2 \times 3 = \mathbf{6}$.
* To get from 2 to 8, multiply by 4. So, $5 \times 4 = \mathbf{20}$.
* To get from 5 to 25, multiply by 5. So, $2 \times 5 = \mathbf{10}$.
* To get from 5 to 30, multiply by 6. So, $2 \times 6 = \mathbf{12}$.
(5) 2 : 4 (Note: This simplifies to 1:2, just like question #1)
* To get from 4 to 8, multiply by 2. So, $2 \times 2 = \mathbf{4}$.
* To get from 4 to 12, multiply by 3. So, $2 \times 3 = \mathbf{6}$.
* To get from 2 to 8, multiply by 4. So, $4 \times 4 = \mathbf{16}$.
* To get from 4 to 20, multiply by 5. So, $2 \times 5 = \mathbf{10}$.
* To get from 2 to 12, multiply by 6. So, $4 \times 6 = \mathbf{24}$.
(6) 5 : 9
* To get from 5 to 10, multiply by 2. So, $9 \times 2 = \mathbf{18}$.
* To get from 5 to 15, multiply by 3. So, $9 \times 3 = \mathbf{27}$.
* To get from 5 to 20, multiply by 4. So, $9 \times 4 = \mathbf{36}$.
* To get from 5 to 25, multiply by 5. So, $9 \times 5 = \mathbf{45}$.
* To get from 9 to 54, multiply by 6. So, $5 \times 6 = \mathbf{30}$.
(7) 1 : 5
* To get from 5 to 10, multiply by 2. So, $1 \times 2 = \mathbf{2}$.
* To get from 1 to 3, multiply by 3. So, $5 \times 3 = \mathbf{15}$.
* To get from 1 to 4, multiply by 4. So, $5 \times 4 = \mathbf{20}$.
* To get from 1 to 5, multiply by 5. So, $5 \times 5 = \mathbf{25}$.
* To get from 1 to 6, multiply by 6. So, $5 \times 6 = \mathbf{30}$.
(8) 3 : 2
* To get from 2 to 4, multiply by 2. So, $3 \times 2 = \mathbf{6}$.
* To get from 2 to 6, multiply by 3. So, $3 \times 3 = \mathbf{9}$.
* To get from 3 to 12, multiply by 4. So, $2 \times 4 = \mathbf{8}$.
* To get from 2 to 10, multiply by 5. So, $3 \times 5 = \mathbf{15}$.
* To get from 3 to 18, multiply by 6. So, $2 \times 6 = \mathbf{12}$.
(9) 1 : 8
* To get from 8 to 16, multiply by 2. So, $1 \times 2 = \mathbf{2}$.
* To get from 8 to 24, multiply by 3. So, $1 \times 3 = \mathbf{3}$.
* To get from 1 to 4, multiply by 4. So, $8 \times 4 = \mathbf{32}$.
* To get from 8 to 40, multiply by 5. So, $1 \times 5 = \mathbf{5}$.
* To get from 8 to 48, multiply by 6. So, $1 \times 6 = \mathbf{6}$.
(10) 3 : 1
* To get from 1 to 2, multiply by 2. So, $3 \times 2 = \mathbf{6}$.
* To get from 1 to 3, multiply by 3. So, $3 \times 3 = \mathbf{9}$.
* To get from 3 to 12, multiply by 4. So, $1 \times 4 = \mathbf{4}$.
* To get from 3 to 15, multiply by 5. So, $1 \times 5 = \mathbf{5}$.
* To get from 1 to 6, multiply by 6. So, $3 \times 6 = \mathbf{18}$.
Final Answer:
(1) 2, 3, 8, 5, 12
(2) 2, 9, 4, 15, 18
(3) 2, 3, 28, 35, 6
(4) 4, 6, 20, 10, 12
(5) 4, 6, 16, 10, 24
(6) 18, 27, 36, 45, 30
(7) 2, 15, 20, 25, 30
(8) 6, 9, 8, 15, 12
(9) 2, 3, 32, 5, 6
(10) 6, 9, 4, 5, 18
Think of it like a recipe: if you double one ingredient, you must double the other to keep the taste the same.
Here is how to solve each one step-by-step:
How to find the missing number:
1. Look at the pair where you have both numbers (the starting ratio).
2. Look at the blank you need to fill. Is it next to a known number?
3. Ask: "What did I multiply the known number by to get the new number?"
4. Multiply the *other* part of the ratio by that same amount.
---
(1) 1 : 2
* To get from 2 to 4, we multiply by 2. So, $1 \times 2 = \mathbf{2}$. (Ratio is 2:4)
* To get from 2 to 6, we multiply by 3. So, $1 \times 3 = \mathbf{3}$. (Ratio is 3:6)
* To get from 1 to 4, we multiply by 4. So, $2 \times 4 = \mathbf{8}$. (Ratio is 4:8)
* To get from 2 to 10, we multiply by 5. So, $1 \times 5 = \mathbf{5}$. (Ratio is 5:10)
* To get from 1 to 6, we multiply by 6. So, $2 \times 6 = \mathbf{12}$. (Ratio is 6:12)
(2) 1 : 3
* To get from 3 to 6, multiply by 2. So, $1 \times 2 = \mathbf{2}$.
* To get from 1 to 3, multiply by 3. So, $3 \times 3 = \mathbf{9}$.
* To get from 3 to 12, multiply by 4. So, $1 \times 4 = \mathbf{4}$.
* To get from 1 to 5, multiply by 5. So, $3 \times 5 = \mathbf{15}$.
* To get from 1 to 6, multiply by 6. So, $3 \times 6 = \mathbf{18}$.
(3) 1 : 7
* To get from 7 to 14, multiply by 2. So, $1 \times 2 = \mathbf{2}$.
* To get from 7 to 21, multiply by 3. So, $1 \times 3 = \mathbf{3}$.
* To get from 1 to 4, multiply by 4. So, $7 \times 4 = \mathbf{28}$.
* To get from 1 to 5, multiply by 5. So, $7 \times 5 = \mathbf{35}$.
* To get from 7 to 42, multiply by 6. So, $1 \times 6 = \mathbf{6}$.
(4) 2 : 5
* To get from 5 to 10, multiply by 2. So, $2 \times 2 = \mathbf{4}$.
* To get from 5 to 15, multiply by 3. So, $2 \times 3 = \mathbf{6}$.
* To get from 2 to 8, multiply by 4. So, $5 \times 4 = \mathbf{20}$.
* To get from 5 to 25, multiply by 5. So, $2 \times 5 = \mathbf{10}$.
* To get from 5 to 30, multiply by 6. So, $2 \times 6 = \mathbf{12}$.
(5) 2 : 4 (Note: This simplifies to 1:2, just like question #1)
* To get from 4 to 8, multiply by 2. So, $2 \times 2 = \mathbf{4}$.
* To get from 4 to 12, multiply by 3. So, $2 \times 3 = \mathbf{6}$.
* To get from 2 to 8, multiply by 4. So, $4 \times 4 = \mathbf{16}$.
* To get from 4 to 20, multiply by 5. So, $2 \times 5 = \mathbf{10}$.
* To get from 2 to 12, multiply by 6. So, $4 \times 6 = \mathbf{24}$.
(6) 5 : 9
* To get from 5 to 10, multiply by 2. So, $9 \times 2 = \mathbf{18}$.
* To get from 5 to 15, multiply by 3. So, $9 \times 3 = \mathbf{27}$.
* To get from 5 to 20, multiply by 4. So, $9 \times 4 = \mathbf{36}$.
* To get from 5 to 25, multiply by 5. So, $9 \times 5 = \mathbf{45}$.
* To get from 9 to 54, multiply by 6. So, $5 \times 6 = \mathbf{30}$.
(7) 1 : 5
* To get from 5 to 10, multiply by 2. So, $1 \times 2 = \mathbf{2}$.
* To get from 1 to 3, multiply by 3. So, $5 \times 3 = \mathbf{15}$.
* To get from 1 to 4, multiply by 4. So, $5 \times 4 = \mathbf{20}$.
* To get from 1 to 5, multiply by 5. So, $5 \times 5 = \mathbf{25}$.
* To get from 1 to 6, multiply by 6. So, $5 \times 6 = \mathbf{30}$.
(8) 3 : 2
* To get from 2 to 4, multiply by 2. So, $3 \times 2 = \mathbf{6}$.
* To get from 2 to 6, multiply by 3. So, $3 \times 3 = \mathbf{9}$.
* To get from 3 to 12, multiply by 4. So, $2 \times 4 = \mathbf{8}$.
* To get from 2 to 10, multiply by 5. So, $3 \times 5 = \mathbf{15}$.
* To get from 3 to 18, multiply by 6. So, $2 \times 6 = \mathbf{12}$.
(9) 1 : 8
* To get from 8 to 16, multiply by 2. So, $1 \times 2 = \mathbf{2}$.
* To get from 8 to 24, multiply by 3. So, $1 \times 3 = \mathbf{3}$.
* To get from 1 to 4, multiply by 4. So, $8 \times 4 = \mathbf{32}$.
* To get from 8 to 40, multiply by 5. So, $1 \times 5 = \mathbf{5}$.
* To get from 8 to 48, multiply by 6. So, $1 \times 6 = \mathbf{6}$.
(10) 3 : 1
* To get from 1 to 2, multiply by 2. So, $3 \times 2 = \mathbf{6}$.
* To get from 1 to 3, multiply by 3. So, $3 \times 3 = \mathbf{9}$.
* To get from 3 to 12, multiply by 4. So, $1 \times 4 = \mathbf{4}$.
* To get from 3 to 15, multiply by 5. So, $1 \times 5 = \mathbf{5}$.
* To get from 1 to 6, multiply by 6. So, $3 \times 6 = \mathbf{18}$.
Final Answer:
(1) 2, 3, 8, 5, 12
(2) 2, 9, 4, 15, 18
(3) 2, 3, 28, 35, 6
(4) 4, 6, 20, 10, 12
(5) 4, 6, 16, 10, 24
(6) 18, 27, 36, 45, 30
(7) 2, 15, 20, 25, 30
(8) 6, 9, 8, 15, 12
(9) 2, 3, 32, 5, 6
(10) 6, 9, 4, 5, 18
Parent Tip: Review the logic above to help your child master the concept of ratio worksheet pdf.
