Rate and Ratio Test Review

A grocery store has a sale on boxes of cereal. A customer can purchase four boxes of cereal for $8.00. Which of the following statements is true?

• The cost of one box of cereal is $0.50.

• Boxes of cereal cost $4.00 each.

• It costs $2.00 per box of cereal.

• The unit rate of dollars per box is ½.

The table below shows equivalent ratios. What is the missing value?

• 42

• 30

• 36

• 14

Consider the collection of shapes below:

🔺🔺🔺🔺🔺🔺🔺💛💛💛💛💛💛

How many more triangles must be added to the collection so that the ratio of triangles to hearts is 3:1 in simplest form?

• 11

• 18

• 7

• 13

Khamari works for his Uncle Douglas baking cookies. Uncle Douglas’s famous recipe is written below:

1 cup butter, softened

1 cup white sugar

1 cup packed brown sugar

2 eggs

2 teaspoons vanilla extract

2 teaspoons hot water

1/2 teaspoon salt

3 cups all-purpose flour

2 cups semisweet chocolate chips

What is the simplified ratio of teaspoons of vanilla extract to teaspoons of hot water?

• 2:2

• 1:1

• 2:1

• 3:2

The ratio of grapes to pears in a fruit salad is 10:2. Which of the following statements correctly describes a unit rate for this relationship?

• There are 5 grapes for every pear

• There are 5 pears for every grape

• There are 1/5 grapes for every pear

• There are 10 grapes for every pear

Mrs. Fahnestock purchased candy as a reward for her students after their chapter 1 test. She bought 4 pounds of candy and spent $16.00. Her students did much better on the chapter 2 test, so she returned to the store and bought 6 pounds of candy at the same unit price.

How much did it cost Mrs. Fahnestock to purchase 6 pounds of candy?

• $24.00

• $20.00

• $18.00

• $3.33

Mrs. Anderson’s science class conducted an experiment studying the difference between plants receiving artificial light or natural sunlight. The plants in both experiments grew at a constant rate. The table below shows the growth of the plant receiving only artificial light.

The student in charge of recording the height of the plant after 12 weeks did not do her job. However, her group mates were able to calculate the height of the plant at the time.

What was the height of the plant after 12 weeks?

• 30 cm

• 15 cm

• 15

• 13 cm

The information below shows the number of students enrolled in each of the three most popular clubs at Swatara Middle School when the clubs began.

Popular Clubs at SMS

STEM CLUB 21

Club Ultimate 48

Taste Testing Club 14

Since the clubs began, STEM Club had five additional members join, and Club Ultimate lost two members.

What is the new ratio of the number of students in STEM Club to the number of students in Taste Testing Club?

• 24 : 14

• 13 : 24

• 13 : 7

• 26 : 48

Rojan mows lawns for his neighbors on the weekends. He purchased a new lawn mower, and with it, he is able to mow 6 lawns in 8 hours.

At what rate is Rojan mowing lawns?

If Rojan worked 12 hours one weekend, at that rate, how many lawns did he mow?

• Rojan can mow 6 lawns each hour. Rojan mowed 16 lawns after working 12 hours one weekend.

• Rojan can mow 3 lawns each hour. Rojan mowed 6 lawns after working 12 hours one weekend.

  
  

• Rojan can mow 3/4 of a lawn each hour. Rojan mowed 9 lawns after working 12 hours one weekend.

• Rojan can mow 8 lawns each hour. Rojan mowed 4 lawns after working 12 hours one weekend.

A cheetah can run 60 miles in one hour.

Which of the following is another unit rate to describe the top speed of the cheetah?

• The cheetah can run 1/60 miles per hour.

• The cheetah can run one mile every 1/60 hour

• The cheetah can run 50 miles per hour.

• The cheetah can run one mile every 60 hours.