Back to Exercise: Understand the concept of a ratio

Understanding Ratios: Language, Notation, and Relationships

For each ratio problem, identify which quantity comes first and which comes second. Label part-to-part (P:P) or part-to-whole (P:W) where indicated.

Grade 6·21 problems·~35 min·Common Core Math - Grade 6·standard·6-rp-a-1

Work through problems with immediate feedback

Recall / Warm-Up

A baker puts 3 chocolate chips into each cookie. If she makes 5 cookies, which number sentence shows how many chocolate chips she uses in all?

3 + 5 = 8

5 × 3 = 15

5 − 3 = 2

3 × 3 = 9

A pizza is cut into 8 equal slices and 3 slices have been eaten. Which fraction represents the portion of the pizza that has been eaten?

3/5

5/8

3/8

8/3

Which pair of numbers are factors of 12?

5 and 7

3 and 4

2 and 7

6 and 8

Fluency Practice

$Bowl seen from above with 8 yellow candies and 12 purple candies, labeled with their counts$

A bowl has 8 yellow and 12 purple candies. Which correctly describes the ratio of yellow to purple?

There are 4 more purple than yellow.

For every 2 yellow candies, there are 3 purple candies.

For every 3 yellow candies, there are 2 purple candies.

The ratio is 12:8.

A parking lot has 7 trucks and 13 cars. Which statement uses correct ratio language for the ratio of trucks to cars?

There are 6 more cars than trucks.

For every 7 trucks, there are 13 cars.

For every 13 trucks, there are 7 cars.

The ratio of cars to trucks is 7:13.

A smoothie recipe uses 3 cups of fruit for every 1 cup of yogurt. Write the ratio of fruit to yogurt in fraction form (as a/b).

A class has 16 students who prefer soccer and 12 who prefer basketball. A student writes the ratio as 16:12. Is this correct, or must it be simplified?

It must be simplified to 4:3 — 16:12 is incorrect.

16:12 is correct. Ratios do not need to be simplified.

It must be simplified to 2:3.

It must be written as 4/3 — colon notation is not valid.

A bag holds 5 baseballs and 3 tennis balls. Which of the following is a part-to-whole ratio?

5:3 (baseballs to tennis balls)

3:5 (tennis balls to baseballs)

5:8 (baseballs to total balls)

8:5 (total balls to baseballs)

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