Rates and Ratios: Real-World Math Challenges for 7th Grade

A car travels 60 miles in 1 hour and 90 miles in 2 hours. What is the average speed of the car over the two hours?

• 90 miles per hour

• 45 miles per hour

• 60 miles per hour

• 75 miles per hour

A recipe requires 3 cups of flour for every 2 cups of sugar. If you use 9 cups of flour, how many cups of sugar will you need?

• 4 cups of sugar

• 8 cups of sugar

• 10 cups of sugar

• 6 cups of sugar

A store sells 5 apples for $3. If you want to buy 15 apples, how much will it cost?

• $6

• $9

• $12

• $15

A gardener plants 4 rows of flowers, with 6 flowers in each row. If he decides to plant 2 more rows with 8 flowers each, how many flowers does he have in total?

• 24

• 50

• 40

• 30

A factory produces 100 toys in 5 hours. If the production rate remains the same, how many toys will be produced in 15 hours?

• 400 toys

• 200 toys

• 300 toys

• 150 toys

A train travels 120 miles in 2 hours and then 180 miles in 3 hours. What is the total distance traveled and the average speed for the entire trip?

• Total distance: 250 miles, Average speed: 50 miles per hour

• Total distance: 280 miles, Average speed: 55 miles per hour

• Total distance: 300 miles, Average speed: 70 miles per hour

• Total distance: 300 miles, Average speed: 60 miles per hour

A recipe calls for 2 tablespoons of oil for every 4 cups of rice. If you are cooking 12 cups of rice, how many tablespoons of oil do you need?

• 8 tablespoons

• 10 tablespoons

• 4 tablespoons

• 6 tablespoons

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer drives 150 miles, what will be the total cost?

• $70

• $80

• $90

• $100

A school has 300 students, and the ratio of boys to girls is 2:3. How many boys and girls are there in the school?

• 150 boys and 150 girls

• 180 boys and 120 girls

• 120 boys and 180 girls

• 100 boys and 200 girls

A painter can complete a job in 8 hours. If he works for 3 hours a day, how many days will it take him to finish the job?

• 3 days

• 5 days

• 4 days

• 2 days