Practice: Understanding Ratios

Grade 6 Mathematics | Independent Practice

Name:
Date:

Part A: Writing Ratios from Pictures

Directions: Look at each picture and write the ratio in the form requested. Simplify if possible.

1. Look at these shapes:

a) Red to blue (using colon):

b) Blue to red (using "to"):

c) Red to total (as a fraction):

2. Look at these shapes:

a) Squares to triangles:

b) Triangles to total shapes:

c) Squares to total shapes:

Part B: Writing Ratios from Word Problems

Directions: Write each ratio in simplest form. Use any notation (a:b, a to b, or a/b).

3. A basket has 12 apples and 8 oranges. What is the ratio of apples to oranges?

Answer:

4. A class has 15 boys and 20 girls. What is the ratio of boys to total students?

Answer:

5. A recipe calls for 2 cups of flour and 3 cups of sugar. What is the ratio of sugar to flour?

Answer:

6. In a parking lot, there are 24 cars and 16 trucks. What is the ratio of trucks to total vehicles?

Answer:

Part C: Finding Equivalent Ratios

Directions: Find the missing values to make equivalent ratios.

7. 3:4 = 9:___

Answer:

8. 5:6 = ___:18

Answer:

9. 8:12 = 2:___

Answer:

10. ___:15 = 4:5

Answer:

Part D: Writing Equivalent Ratios

Directions: Write three equivalent ratios for each given ratio.

11. Write three ratios equivalent to 2:5

___:___    ___:___    ___:___

12. Write three ratios equivalent to 6:4 (and simplify the original)

Simplified: ___:___    Equivalent: ___:___    ___:___    ___:___

Part E: Word Problems

Directions: Read each problem carefully. Show your work.

13. A smoothie recipe uses 3 cups of strawberries for every 2 cups of bananas. If you use 12 cups of strawberries, how many cups of bananas do you need?

Answer: _______________ cups of bananas

14. The ratio of dogs to cats at an animal shelter is 5:3. If there are 24 cats, how many dogs are there?

Answer: _______________ dogs

15. In a survey, the ratio of people who prefer pizza to people who prefer tacos is 7:4. If 28 people prefer pizza, how many people were surveyed in total?

Answer: _______________ people total

16. A school has 450 students. The ratio of 6th graders to total students is 2:9. How many 6th graders are there?

Answer: _______________ 6th graders

Challenge: Think About It!

17. The ratio of boys to girls in Class A is 3:4. The ratio of boys to girls in Class B is 2:3. Which class has a greater ratio of boys to girls? Explain how you know.

18. A bag contains red, blue, and green marbles. The ratio of red to blue is 2:3, and the ratio of blue to green is 3:4. What is the ratio of red to green?