Distance, Conversion, and Ratios Problems

Mr. Richards guides students through grade 6 unit 3 lesson 11, focusing on percentages and double number lines. The lesson includes solving problems related to basketball free throws, vitamin C allowance, music preferences, vehicle speeds, and mashed potatoes. Each problem is tackled using double number lines or tables to simplify percentage calculations.

If May attempted 40 free throws and was successful with 125% of them, how many successful free throws did she make?

• 40

• 50

• 30

• 25

Priya made 12 free throws yesterday. If she made 150% more today, how many did she make today?

• 36

• 30

• 18

• 24

A 16-ounce bottle of orange juice contains 200 milligrams of vitamin C, which is 250% of the daily recommended allowance. What is the 100% daily recommended allowance?

• 100 mg

• 120 mg

• 80 mg

• 50 mg

If 40% of the sixth-grade students prefer hip-hop music and this represents 100 students, how many students are there in total?

• 200

• 250

• 300

• 350

Which vehicle traveled the farthest distance in the given time?

• Bike

• Scooter

• Skateboard

• Go-kart

How many pounds of mashed potatoes can be made from 15 pounds of potatoes?

• 20

• 22.5

• 25

• 27.5

To make 50 pounds of mashed potatoes, how many pounds of regular potatoes are needed?

• 30

• 33.3

• 35

• 37.5

If a go-kart travels 3000 centimeters in a given time, which vehicle traveled the second farthest distance?

• Bike

• Go-kart

• Scooter

• Skateboard

What is the conversion factor used to convert inches to centimeters in the skateboard problem?

• 2.54

• 2.5

• 3.14

• 1.5

In the potato conversion problem, what is the ratio of potatoes to mashed potatoes?

• 1:1.5

• 2:3

• 4:5

• 3:4