Proportional Reasoning: Rates and Graphs for 6th Graders

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?

• 4 cups of flour

• 2 cups of flour

• 3 cups of flour

• 6 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

• 30 miles per gallon

• 35 miles per gallon

• 40 miles per gallon

A graph shows the relationship between hours studied and test scores. If a student studies for 4 hours and scores 80%, how much would they score if they studied for 6 hours, assuming the relationship is proportional?

• 90%

• 85%

• 100%

• 70%

A store sells 3 apples for $1.50. How much would 10 apples cost?

• $3.00

• $4.50

• $5.00

• $7.50

A bike can travel 12 miles in 30 minutes. What is the unit rate in miles per hour?

• 24 miles per hour

• 12 miles per hour

• 18 miles per hour

• 30 miles per hour

If a recipe requires 4 tablespoons of oil for every 2 cups of rice, how many tablespoons of oil are needed for 5 cups of rice?

• 12 tablespoons

• 10 tablespoons

• 6 tablespoons

• 8 tablespoons

A graph shows that 5 pounds of oranges cost $10. How much would 8 pounds cost?

• $16

• $12

• $8

• $20

A runner completes 10 laps in 20 minutes. What is the unit rate of laps per minute?

• 1 lap per minute

• 0.25 laps per minute

• 2 laps per minute

• 0.5 laps per minute

If a car can travel 240 miles on 8 gallons of gas, how many miles can it travel on 12 gallons?

• 480 miles

• 300 miles

• 360 miles

• 240 miles

A school is planning a field trip and needs to rent buses. If 3 buses can carry 120 students, how many students can 5 buses carry?

• 180 students

• 200 students

• 150 students

• 250 students