Ratios and Unit Rates: A 5th Grade Challenge

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

• The ratio of flour to sugar is 1:2.

• The ratio of flour to sugar is 2:3.

• The ratio of flour to sugar is 3:2.

• The ratio of flour to sugar is 4:3.

In a class, there are 12 boys and 8 girls. What is the ratio of boys to girls, and how does it compare to the ratio of girls to boys?

• The ratio of boys to girls is 3:2, and the ratio of girls to boys is 2:3.

• The ratio of boys to girls is 2:1, and the ratio of girls to boys is 1:2.

• The ratio of boys to girls is 5:4, and the ratio of girls to boys is 4:5.

• The ratio of boys to girls is 4:3, and the ratio of girls to boys is 3:4.

At a fruit stand, there are 20 apples and 15 oranges. What is the difference in the ratio of apples to oranges?

• 2

• 3

• 5

• 1

A gardener plants 4 rows of tomatoes and 6 rows of peppers. What is the ratio of tomato rows to pepper rows, and how does it compare to the total number of rows?

• The ratio of tomato rows to pepper rows is 1:4.

• The ratio of tomato rows to pepper rows is 3:2.

• The total number of rows is 10.

• The ratio of tomato rows to pepper rows is 2:3.

In a school, there are 30 students in the art club and 45 in the music club. What is the ratio of students in the art club to the music club, and what is the difference in their quantities?

• The ratio is 3:2 and the difference is 10.

• The ratio is 5:4 and the difference is 5.

• The ratio is 2:3 and the difference is 15.

• The ratio is 1:2 and the difference is 20.

A store sells 3 types of cookies: chocolate chip, oatmeal, and peanut butter. If there are 24 chocolate chip, 18 oatmeal, and 12 peanut butter cookies, what is the ratio of chocolate chip to the total number of cookies?

• 1/2

• 4/9

• 3/8

• 5/12

A recipe requires 5 cups of water for every 2 cups of rice. What is the unit rate of water to rice, and how does it compare to a recipe that uses 10 cups of water?

• 3 cups of water per cup of rice

• The unit rate is 2.5 cups of water per cup of rice.

• 5 cups of water per cup of rice

• 1.5 cups of water per cup of rice

In a pet store, there are 10 dogs and 15 cats. What is the ratio of dogs to cats, and what is the difference in their quantities?

• The ratio of dogs to cats is 2:3, and the difference in their quantities is 5.

• The ratio of dogs to cats is 3:2, and the difference in their quantities is 10.

• The ratio of dogs to cats is 4:5, and the difference in their quantities is 3.

• The ratio of dogs to cats is 1:1, and the difference in their quantities is 15.

A bike travels 60 miles in 3 hours. What is the unit rate of miles per hour, and how does it compare to a bike that travels 90 miles in 4.5 hours?

• The first bike travels at 30 miles per hour.

• The second bike travels at 25 miles per hour.

• The first bike travels at 15 miles per hour.

• Both bikes travel at 20 miles per hour.