Ratio Worksheets | Ratio Worksheets for Teachers - Free Printable
Educational worksheet: Ratio Worksheets | Ratio Worksheets for Teachers. Download and print for classroom or home learning activities.
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Step-by-step solution for: Ratio Worksheets | Ratio Worksheets for Teachers
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Show Answer Key & Explanations
Step-by-step solution for: Ratio Worksheets | Ratio Worksheets for Teachers
To solve these problems, we need to find equivalent ratios. This means we want to keep the relationship between the two numbers the same, even if the numbers themselves get bigger.
Think of it like a recipe. If a recipe calls for 1 cup of sugar and 2 cups of flour (ratio 1:2), and you want to make a double batch, you use 2 cups of sugar and 4 cups of flour (ratio 2:4). The ratio is still the same because you multiplied both numbers by 2.
Here is the step-by-step logic for each question:
1) $1 : 7 = \_\_ : 14 = \_\_ : 21 = 4 : \_\_ = 5 : \_\_ = \_\_ : 42$
* Start with $1 : 7$.
* To get the second number 14, we multiply 7 by 2. So, multiply 1 by 2 to get 2. ($2 : 14$)
* To get the third number 21, we multiply 7 by 3. So, multiply 1 by 3 to get 3. ($3 : 21$)
* For $4 : \_\_$, we multiplied the first number (1) by 4. So, multiply 7 by 4 to get 28.
* For $5 : \_\_$, we multiplied the first number (1) by 5. So, multiply 7 by 5 to get 35.
* For $\_\_ : 42$, we multiplied the second number (7) by 6 ($7 \times 6 = 42$). So, multiply 1 by 6 to get 6.
2) $1 : 2 = \_\_ : 4 = 3 : \_\_ = 4 : \_\_ = 5 : \_\_ = 6 : \_\_$
* Start with $1 : 2$.
* To get 4 on the right, multiply 2 by 2. So, $1 \times 2 =$ 2.
* To get 3 on the left, multiply 1 by 3. So, $2 \times 3 =$ 6.
* To get 4 on the left, multiply 1 by 4. So, $2 \times 4 =$ 8.
* To get 5 on the left, multiply 1 by 5. So, $2 \times 5 =$ 10.
* To get 6 on the left, multiply 1 by 6. So, $2 \times 6 =$ 12.
3) $1 : 3 = \_\_ : 6 = 3 : \_\_ = \_\_ : 12 = 5 : \_\_ = 6 : \_\_$
* Start with $1 : 3$.
* Right side is 6 ($3 \times 2$). Left side: $1 \times 2 =$ 2.
* Left side is 3 ($1 \times 3$). Right side: $3 \times 3 =$ 9.
* Right side is 12 ($3 \times 4$). Left side: $1 \times 4 =$ 4.
* Left side is 5 ($1 \times 5$). Right side: $3 \times 5 =$ 15.
* Left side is 6 ($1 \times 6$). Right side: $3 \times 6 =$ 18.
4) $1 : 2 = \_\_ : 4 = \_\_ : 6 = \_\_ : 8 = \_\_ : 10 = 6 : \_\_$
* Start with $1 : 2$.
* Right is 4 ($2 \times 2$). Left: $1 \times 2 =$ 2.
* Right is 6 ($2 \times 3$). Left: $1 \times 3 =$ 3.
* Right is 8 ($2 \times 4$). Left: $1 \times 4 =$ 4.
* Right is 10 ($2 \times 5$). Left: $1 \times 5 =$ 5.
* Left is 6 ($1 \times 6$). Right: $2 \times 6 =$ 12.
5) $1 : 8 = \_\_ : 16 = \_\_ : 24 = 4 : \_\_ = \_\_ : 40 = \_\_ : 48$
* Start with $1 : 8$.
* Right is 16 ($8 \times 2$). Left: $1 \times 2 =$ 2.
* Right is 24 ($8 \times 3$). Left: $1 \times 3 =$ 3.
* Left is 4 ($1 \times 4$). Right: $8 \times 4 =$ 32.
* Right is 40 ($8 \times 5$). Left: $1 \times 5 =$ 5.
* Right is 48 ($8 \times 6$). Left: $1 \times 6 =$ 6.
6) $2 : 5 = \_\_ : 10 = \_\_ : 15 = 8 : \_\_ = \_\_ : 25 = \_\_ : 30$
* Start with $2 : 5$.
* Right is 10 ($5 \times 2$). Left: $2 \times 2 =$ 4.
* Right is 15 ($5 \times 3$). Left: $2 \times 3 =$ 6.
* Left is 8 ($2 \times 4$). Right: $5 \times 4 =$ 20.
* Right is 25 ($5 \times 5$). Left: $2 \times 5 =$ 10.
* Right is 30 ($5 \times 6$). Left: $2 \times 6 =$ 12.
7) $5 : 9 = 10 : \_\_ = 15 : \_\_ = 20 : \_\_ = 25 : \_\_ = \_\_ : 54$
* Start with $5 : 9$.
* Left is 10 ($5 \times 2$). Right: $9 \times 2 =$ 18.
* Left is 15 ($5 \times 3$). Right: $9 \times 3 =$ 27.
* Left is 20 ($5 \times 4$). Right: $9 \times 4 =$ 36.
* Left is 25 ($5 \times 5$). Right: $9 \times 5 =$ 45.
* Right is 54 ($9 \times 6$). Left: $5 \times 6 =$ 30.
8) $1 : 2 = \_\_ : 4 = \_\_ : 6 = 4 : \_\_ = \_\_ : 10 = 6 : \_\_$
*(Note: This is identical to Question 4)*
* Start with $1 : 2$.
* Right is 4 ($2 \times 2$). Left: $1 \times 2 =$ 2.
* Right is 6 ($2 \times 3$). Left: $1 \times 3 =$ 3.
* Left is 4 ($1 \times 4$). Right: $2 \times 4 =$ 8.
* Right is 10 ($2 \times 5$). Left: $1 \times 5 =$ 5.
* Left is 6 ($1 \times 6$). Right: $2 \times 6 =$ 12.
9) $1 : 2 = 2 : \_\_ = \_\_ : 6 = 4 : \_\_ = \_\_ : 10 = \_\_ : 12$
* Start with $1 : 2$.
* Left is 2 ($1 \times 2$). Right: $2 \times 2 =$ 4.
* Right is 6 ($2 \times 3$). Left: $1 \times 3 =$ 3.
* Left is 4 ($1 \times 4$). Right: $2 \times 4 =$ 8.
* Right is 10 ($2 \times 5$). Left: $1 \times 5 =$ 5.
* Right is 12 ($2 \times 6$). Left: $1 \times 6 =$ 6.
10) $1 : 3 = \_\_ : 6 = \_\_ : 9 = 4 : \_\_ = \_\_ : 15 = \_\_ : 18$
* Start with $1 : 3$.
* Right is 6 ($3 \times 2$). Left: $1 \times 2 =$ 2.
* Right is 9 ($3 \times 3$). Left: $1 \times 3 =$ 3.
* Left is 4 ($1 \times 4$). Right: $3 \times 4 =$ 12.
* Right is 15 ($3 \times 5$). Left: $1 \times 5 =$ 5.
* Right is 18 ($3 \times 6$). Left: $1 \times 6 =$ 6.
Final Answer:
1) 2, 3, 28, 35, 6
2) 2, 6, 8, 10, 12
3) 2, 9, 4, 15, 18
4) 2, 3, 4, 5, 12
5) 2, 3, 32, 5, 6
6) 4, 6, 20, 10, 12
7) 18, 27, 36, 45, 30
8) 2, 3, 8, 5, 12
9) 4, 3, 8, 5, 6
10) 2, 3, 12, 5, 6
Think of it like a recipe. If a recipe calls for 1 cup of sugar and 2 cups of flour (ratio 1:2), and you want to make a double batch, you use 2 cups of sugar and 4 cups of flour (ratio 2:4). The ratio is still the same because you multiplied both numbers by 2.
Here is the step-by-step logic for each question:
1) $1 : 7 = \_\_ : 14 = \_\_ : 21 = 4 : \_\_ = 5 : \_\_ = \_\_ : 42$
* Start with $1 : 7$.
* To get the second number 14, we multiply 7 by 2. So, multiply 1 by 2 to get 2. ($2 : 14$)
* To get the third number 21, we multiply 7 by 3. So, multiply 1 by 3 to get 3. ($3 : 21$)
* For $4 : \_\_$, we multiplied the first number (1) by 4. So, multiply 7 by 4 to get 28.
* For $5 : \_\_$, we multiplied the first number (1) by 5. So, multiply 7 by 5 to get 35.
* For $\_\_ : 42$, we multiplied the second number (7) by 6 ($7 \times 6 = 42$). So, multiply 1 by 6 to get 6.
2) $1 : 2 = \_\_ : 4 = 3 : \_\_ = 4 : \_\_ = 5 : \_\_ = 6 : \_\_$
* Start with $1 : 2$.
* To get 4 on the right, multiply 2 by 2. So, $1 \times 2 =$ 2.
* To get 3 on the left, multiply 1 by 3. So, $2 \times 3 =$ 6.
* To get 4 on the left, multiply 1 by 4. So, $2 \times 4 =$ 8.
* To get 5 on the left, multiply 1 by 5. So, $2 \times 5 =$ 10.
* To get 6 on the left, multiply 1 by 6. So, $2 \times 6 =$ 12.
3) $1 : 3 = \_\_ : 6 = 3 : \_\_ = \_\_ : 12 = 5 : \_\_ = 6 : \_\_$
* Start with $1 : 3$.
* Right side is 6 ($3 \times 2$). Left side: $1 \times 2 =$ 2.
* Left side is 3 ($1 \times 3$). Right side: $3 \times 3 =$ 9.
* Right side is 12 ($3 \times 4$). Left side: $1 \times 4 =$ 4.
* Left side is 5 ($1 \times 5$). Right side: $3 \times 5 =$ 15.
* Left side is 6 ($1 \times 6$). Right side: $3 \times 6 =$ 18.
4) $1 : 2 = \_\_ : 4 = \_\_ : 6 = \_\_ : 8 = \_\_ : 10 = 6 : \_\_$
* Start with $1 : 2$.
* Right is 4 ($2 \times 2$). Left: $1 \times 2 =$ 2.
* Right is 6 ($2 \times 3$). Left: $1 \times 3 =$ 3.
* Right is 8 ($2 \times 4$). Left: $1 \times 4 =$ 4.
* Right is 10 ($2 \times 5$). Left: $1 \times 5 =$ 5.
* Left is 6 ($1 \times 6$). Right: $2 \times 6 =$ 12.
5) $1 : 8 = \_\_ : 16 = \_\_ : 24 = 4 : \_\_ = \_\_ : 40 = \_\_ : 48$
* Start with $1 : 8$.
* Right is 16 ($8 \times 2$). Left: $1 \times 2 =$ 2.
* Right is 24 ($8 \times 3$). Left: $1 \times 3 =$ 3.
* Left is 4 ($1 \times 4$). Right: $8 \times 4 =$ 32.
* Right is 40 ($8 \times 5$). Left: $1 \times 5 =$ 5.
* Right is 48 ($8 \times 6$). Left: $1 \times 6 =$ 6.
6) $2 : 5 = \_\_ : 10 = \_\_ : 15 = 8 : \_\_ = \_\_ : 25 = \_\_ : 30$
* Start with $2 : 5$.
* Right is 10 ($5 \times 2$). Left: $2 \times 2 =$ 4.
* Right is 15 ($5 \times 3$). Left: $2 \times 3 =$ 6.
* Left is 8 ($2 \times 4$). Right: $5 \times 4 =$ 20.
* Right is 25 ($5 \times 5$). Left: $2 \times 5 =$ 10.
* Right is 30 ($5 \times 6$). Left: $2 \times 6 =$ 12.
7) $5 : 9 = 10 : \_\_ = 15 : \_\_ = 20 : \_\_ = 25 : \_\_ = \_\_ : 54$
* Start with $5 : 9$.
* Left is 10 ($5 \times 2$). Right: $9 \times 2 =$ 18.
* Left is 15 ($5 \times 3$). Right: $9 \times 3 =$ 27.
* Left is 20 ($5 \times 4$). Right: $9 \times 4 =$ 36.
* Left is 25 ($5 \times 5$). Right: $9 \times 5 =$ 45.
* Right is 54 ($9 \times 6$). Left: $5 \times 6 =$ 30.
8) $1 : 2 = \_\_ : 4 = \_\_ : 6 = 4 : \_\_ = \_\_ : 10 = 6 : \_\_$
*(Note: This is identical to Question 4)*
* Start with $1 : 2$.
* Right is 4 ($2 \times 2$). Left: $1 \times 2 =$ 2.
* Right is 6 ($2 \times 3$). Left: $1 \times 3 =$ 3.
* Left is 4 ($1 \times 4$). Right: $2 \times 4 =$ 8.
* Right is 10 ($2 \times 5$). Left: $1 \times 5 =$ 5.
* Left is 6 ($1 \times 6$). Right: $2 \times 6 =$ 12.
9) $1 : 2 = 2 : \_\_ = \_\_ : 6 = 4 : \_\_ = \_\_ : 10 = \_\_ : 12$
* Start with $1 : 2$.
* Left is 2 ($1 \times 2$). Right: $2 \times 2 =$ 4.
* Right is 6 ($2 \times 3$). Left: $1 \times 3 =$ 3.
* Left is 4 ($1 \times 4$). Right: $2 \times 4 =$ 8.
* Right is 10 ($2 \times 5$). Left: $1 \times 5 =$ 5.
* Right is 12 ($2 \times 6$). Left: $1 \times 6 =$ 6.
10) $1 : 3 = \_\_ : 6 = \_\_ : 9 = 4 : \_\_ = \_\_ : 15 = \_\_ : 18$
* Start with $1 : 3$.
* Right is 6 ($3 \times 2$). Left: $1 \times 2 =$ 2.
* Right is 9 ($3 \times 3$). Left: $1 \times 3 =$ 3.
* Left is 4 ($1 \times 4$). Right: $3 \times 4 =$ 12.
* Right is 15 ($3 \times 5$). Left: $1 \times 5 =$ 5.
* Right is 18 ($3 \times 6$). Left: $1 \times 6 =$ 6.
Final Answer:
1) 2, 3, 28, 35, 6
2) 2, 6, 8, 10, 12
3) 2, 9, 4, 15, 18
4) 2, 3, 4, 5, 12
5) 2, 3, 32, 5, 6
6) 4, 6, 20, 10, 12
7) 18, 27, 36, 45, 30
8) 2, 3, 8, 5, 12
9) 4, 3, 8, 5, 6
10) 2, 3, 12, 5, 6
Parent Tip: Review the logic above to help your child master the concept of ratio activity worksheet answers.
