Word Problems on Ratios and Rates

Mr. Richards reviews practice problems for grade 6, unit 2, lesson 13. The video covers solving problems using tables and double number lines, including mixing lemonade, a bread recipe, and travel distances. It also compares travel speeds and explores geometry concepts like surface area and volume of a cube.

What is the correct table representation for mixing 4 cups of water with lemonade powder?

• 4 cups of water with 2 scoops of powder

• 4 cups of water with 1.5 scoops of powder

• 4 cups of water with 4 scoops of powder

• 4 cups of water with 3 scoops of powder

If a bread recipe uses 3 tablespoons of olive oil for every 2 cloves of garlic, how many cloves are needed for 6 tablespoons of olive oil?

• 9 cloves

• 6 cloves

• 4 cloves

• 3 cloves

What is the ratio of olive oil to garlic cloves in the bread recipe?

• 3:2

• 1:1

• 2:3

• 4:3

How far does Claire travel in 3 hours if she maintains a constant speed of 36 miles per hour?

• 72 miles

• 108 miles

• 180 miles

• 144 miles

How many miles does Claire travel in 6.5 hours at a constant speed of 36 miles per hour?

• 250 miles

• 234 miles

• 180 miles

• 210 miles

Who travels faster in the first half hour, Lin or Diego, and why?

• Lin, because he travels more miles

• Diego, because he travels more miles

• Lin, because he travels in less time

• Diego, because he travels in less time

If Lin takes 65 minutes to travel 60 miles, how long does Diego take to travel the same distance?

• 70 minutes

• 75 minutes

• 65 minutes

• 60 minutes

How many batches of sports drink can be made with 5 tablespoons of mix and 36 ounces of water?

• 2 batches

• 1 batch

• 3 batches

• 4 batches

What is the surface area of a cube with a side length of 3 units?

• 27 square units

• 108 square units

• 54 square units

• 81 square units

What is the volume of a cube with a side length of 3 units?

• 18 cubic units

• 9 cubic units

• 36 cubic units

• 27 cubic units