**Sub-claim:**A

The students solve problems involving the Major Content with connections to the Standards for Mathematical Practice

Tasks will include proportional relationships that only involve positive numbers.

Sample Questions (taken from PARCC’s Practice Tests and Released Items):

* EOY Released Test Item 20

* EOY Released Test Item 31

* Practice Test, Unit 2, Item 3

* 2016 Released Item #24

Jonah has a recipe that uses 1 1/2 cups of brown sugar and 2 1/3 cups of flour to make 24 muffins. He has a total of 7 cups of flour. Jonah wants to use all of his flour to make as many muffins as possible using this recipe.

Exactly how many cups of brown sugar will Jonah use if he uses all 7 cups of flour?

a. 3 3/10 cups

b. 4 1/2 cups

c. 7 5/6 cups

d. 10 8/9 cups

Exactly how many muffins will Jonah make if he uses all 7 cups of flour?Enter your answer on the blank. ___________

How many stones are needed to trade for 10 bricks?

Enter your answer on the blank. ________

How many nails are needed to trade for 1 brick?

Enter your answer on the blank. ________

It takes 39 stones and 165 logs to build 3 sheds.

What is the exact number of stones needed to build 5 sheds?

a. 13

b. 65

c. 195

d. 234

What is the exact number of logs needed to build 5 sheds?

a. 99

b. 220

c. 275

d. 330

The directions on a bottle of vinegar say, "mix 1 cup of vinegar with 1 gallon of water to make a cleaning solution." The ratio of vinegar to water is 1 to 16.

How many cups of water should be mixed with 1/4 cup of vinegar to make the cleaning solution?

Enter your answer on the blank. __________

How many fluid ounces of vinegar should be mixed with 80 fluid ounces of water to make the cleaning solution?

Enter your answer on the blank. __________

The bottle contains 1 quart of vinegar.

What is the total number of quarts of cleaning solution that can be made using the entire bottle of vinegar?

Enter your answer on the blank. __________

A spray bottle holds up to 1 cup of the cleaning solution. When the spray bottle is full, what fraction of the cleaning solution is vinegar?

a. 1/17

b. 1/16

c. 15/16

d. 16/17

**Type of items:**Type 1**Color Code:**Peach**Evidence Statement Key:**7.RP.3-1**Calculator:**Yes**Point:**1 each (1:29)**Evidence Statement Text:**Use proportional relationships to solve multistep ratio problems.**Clarifications, limits, emphases, and other information intended to ensure appropriate variety in tasks:**Tasks will include proportional relationships that only involve positive numbers.

Sample Questions (taken from PARCC’s Practice Tests and Released Items):

* EOY Released Test Item 20

* EOY Released Test Item 31

* Practice Test, Unit 2, Item 3

* 2016 Released Item #24

**1. EOY Released Test Item 20**

Jonah has a recipe that uses 1 1/2 cups of brown sugar and 2 1/3 cups of flour to make 24 muffins. He has a total of 7 cups of flour. Jonah wants to use all of his flour to make as many muffins as possible using this recipe.

__PART A:__

Exactly how many cups of brown sugar will Jonah use if he uses all 7 cups of flour?

a. 3 3/10 cups

b. 4 1/2 cups

c. 7 5/6 cups

d. 10 8/9 cups

__PART B:__

Exactly how many muffins will Jonah make if he uses all 7 cups of flour?Enter your answer on the blank. ___________

**2. EOY Released Test Item #31**

Students are playing a game. In the game, students collect and trade building materials. Materials of equal value used for trading are shown in the table.

__PART A:__

How many stones are needed to trade for 10 bricks?

Enter your answer on the blank. ________

__PART B:__

How many nails are needed to trade for 1 brick?

Enter your answer on the blank. ________

__PART C:__

It takes 39 stones and 165 logs to build 3 sheds.

What is the exact number of stones needed to build 5 sheds?

a. 13

b. 65

c. 195

d. 234

__PART D:__

What is the exact number of logs needed to build 5 sheds?

a. 99

b. 220

c. 275

d. 330

**3.Practice Test, Unit 2, Item 3 (24)**

The directions on a bottle of vinegar say, "mix 1 cup of vinegar with 1 gallon of water to make a cleaning solution." The ratio of vinegar to water is 1 to 16.

__PART A:__

How many cups of water should be mixed with 1/4 cup of vinegar to make the cleaning solution?

Enter your answer on the blank. __________

__PART B:__

How many fluid ounces of vinegar should be mixed with 80 fluid ounces of water to make the cleaning solution?

Enter your answer on the blank. __________

__PART C:__

The bottle contains 1 quart of vinegar.

What is the total number of quarts of cleaning solution that can be made using the entire bottle of vinegar?

Enter your answer on the blank. __________

__PART D:__

A spray bottle holds up to 1 cup of the cleaning solution. When the spray bottle is full, what fraction of the cleaning solution is vinegar?

a. 1/17

b. 1/16

c. 15/16

d. 16/17

**4. 2016 Released Item #24**

A painter plans to paint a room with an area of 515 square feet. He mixes paint to create a specific shade of green. The ratio of each color in his mixture is shown.

1 part blue paint

3 parts yellow paint

2 parts white paint

__PART A:__

The painter estimates that he will need 1 gallon of green paint for every 175 square feet of the room. He estimates the smallest number of whole gallons of green paint needed to paint the room. How much blue paint will the painter need to make this batch of green paint?

a. 1/3 gallon

b. 1/2 gallon

c. 1 gallon

d. 3 gallons

__PART B:__

The painter makes a second batch of green paint using the same ratio of blue, yellow, and white paint. He uses 3 gallons of white paint to make the second batch of green paint. How many total gallons is the second batch of green paint?Enter your answer in the blank provided. ________________

__PART C:__

The painter purchases 6 gallons of paint on sale for $153.50. The regular price for the paint was $139.92 for 4 gallons. How many dollars per gallon did the painter save purchasing the paint on sale? Round your answer to the nearest cent.

a. $9.40

b. $15.05

c. $25.58

d. $34.98

__Part D:__

The painter mixes some extra green paint with red paint to make a batch of brown paint.

* The painter uses 3 parts of green for every 2 parts of red paint.

* He mixes a total of 2 gallons of brown paint.

How many gallons of yellow paint are in this batch of brown paint?

a. 1/2 gallon

b. 3/5 gallon

c. 1 1/5 gallons

d. 2 2/5 gallons

**Reference:**

PARCC. (n.d.). Retrieved December 20, 2017, from http://www.aps.edu/assessment/parcc