6.RP.A.1 Ratios Worksheet for 11-Year-Olds — 6th Grade Math Practice

Instructions

A ratio is a way to compare two quantities or amounts. For example, if a bakery has 5 chocolate cupcakes and 3 vanilla cupcakes, the ratio of chocolate to vanilla cupcakes is 5 to 3. You can write a ratio in three different ways:

• Using the word "to" → 5 to 3
• Using a colon → 5:3
• As a fraction → 5/3

Read each problem carefully and use your knowledge of ratios to answer the questions.

Part 1: At the Park

Imagine you are at a park. You look around and see the following:

6 dogs

10 kids playing

3 picnic benches

5 adults

Use the information above to write a ratio for each comparison. You can use any of the three ways to write the ratio.

1. What is the ratio of dogs to kids?


2. What is the ratio of picnic benches to adults?


3. What is the ratio of kids to all the people at the park (kids and adults combined)?

Part 2: Ratio Language

Now, describe the relationship between two quantities by writing a complete sentence. Use the phrase "For every... there are..."

Example: If there are 2 teachers and 20 students, you could write: "For every 2 teachers, there are 20 students."

1. In a video game, you collected 7 gold coins and 11 silver coins. Describe the relationship between gold coins and silver coins.


2. A soccer team scored 4 goals and had 2 goal-saving blocks. Describe the relationship between goals scored and blocks.


3. A craft box contains 15 crayons and 8 markers. Describe the relationship between crayons and markers.

Part 3: Three Ways to Write It

Read the scenario and write the requested ratio in all three forms (a to b, a:b, and a/b).

1. An online playlist has 12 pop songs and 7 country songs. What is the ratio of pop songs to country songs?

_______       _______       _______

2. A recipe for a smoothie calls for 2 bananas and 9 strawberries. What is the ratio of strawberries to bananas?

_______       _______       _______

3. In a pencil case, there are 6 pens and 3 pencils. What is the ratio of pencils to the total number of writing tools?

_______       _______       _______

Answer Key

Part 1: At the Park

1. 6 to 10 (or 6:10, or 6/10)
2. 3 to 5 (or 3:5, or 3/5)
3. 10 to 15 (or 10:15, or 10/15) (Note: There are 10 kids + 5 adults = 15 people in total)

Part 2: Ratio Language

(Answers may vary slightly but should express the same relationship.)

1. For every 7 gold coins, there are 11 silver coins.
2. For every 4 goals scored, there were 2 goal-saving blocks.
3. For every 15 crayons, there are 8 markers.

Part 3: Three Ways to Write It

1. 12 to 7       12:7       12/7
2. 9 to 2       9:2       9/2
3. 3 to 9       3:9       3/9 (Note: There are 6 pens + 3 pencils = 9 writing tools total)