Mastering Ratios & Unit Rates: Grade 6 Math Challenge

A recipe calls for 2 cups of flour for every 3 cups of sugar. If you want to use 6 cups of sugar, how many cups of flour do you need?

• 3 cups of flour

• 5 cups of flour

• 2 cups of flour

• 4 cups of flour

A car travels 150 miles on 5 gallons of gas. What is the unit rate of miles per gallon?

• 25 miles per gallon

• 35 miles per gallon

• 40 miles per gallon

• 30 miles per gallon

In a class, the ratio of boys to girls is 4:5. If there are 20 boys, how many girls are there?

• 20

• 15

• 30

• 25

A fruit basket contains apples and oranges in the ratio of 3:2. If there are 15 apples, how many oranges are there?

• 5

• 20

• 10

• 12

A map has a scale of 1 inch to 10 miles. If two cities are 3 inches apart on the map, how far apart are they in real life?

• 15 miles

• 30 miles

• 25 miles

• 20 miles

A recipe requires 4 eggs for every 2 cups of milk. If you have 12 eggs, how many cups of milk can you use?

• 4 cups of milk

• 10 cups of milk

• 6 cups of milk

• 8 cups of milk

In a school, the ratio of teachers to students is 1:15. If there are 120 students, how many teachers are there?

• 5

• 8

• 12

• 10

A car can travel 240 miles on 8 gallons of gas. What is the unit rate of gallons per mile?

• 0.0333 gallons per mile

• 0.05 gallons per mile

• 0.1 gallons per mile

• 0.025 gallons per mile

If a bag of candy has a ratio of chocolate to gummy bears of 5:3 and there are 40 pieces of chocolate, how many gummy bears are there?

• 24

• 20

• 30

• 18

A recipe for cookies uses 3 cups of sugar for every 4 cups of flour. If you want to make a batch with 12 cups of sugar, how much flour do you need?

• 20 cups of flour

• 16 cups of flour

• 10 cups of flour

• 12 cups of flour