Conversions
Applied Conversions
Proportional Reasoning
Scale Factor
100

Convert 56 hours into seconds.

201,600 seconds

100

A cartoon lasts 1/2 hour.  A movie is 6 times as long as the cartoon.  How long does it take to watch both the movie and the cartoon?

3.5 hours

100

If 6 chocolates cost $0.93, how much do 22 cost?

$3.41

100

Joe is making a scale drawing of his property.  If the drawing is 15 inches long by 12 inches wide, what are the dimensions of his property if 1 inch = 5 feet?

75 feet by 60 feet

200

45,990 hours is how many years?

5.25 years or 5 years 4 months

200

A 12 ounce package of brownie mix makes 10 brownies. How many pounds of mix are needed to make 50 brownies?

3.75 pounds

200

Posh Academy boasts a ratio of 150 students to 18 teachers. How can the number of faculty (teachers) be adjusted so the student to teacher ratio is 15 to 1?

Lose 8 teachers

200

The blueprint for a patio room has a scale factor of 1:24.  If the dimensions of the floor measure 8 inches by 12 inches on the blueprint, what are the dimensions of the finished floor?

16 feet by 24 feet

300

Convert 6.5 years into seconds.

204,984,000

300

Pretzels are measured out into bags that weigh 5 ounces each.  How many 5 oz bags can be made from 22 3/4 pounds of pretzels?

72 bags

300

How many nickels are in 126 dollars?

2520 nickels

300

Continued from 200

If the flooring you are using costs $2.50 per square foot, will the cost of the floor be?

$960.00

400

Convert 200 feet per second into miles per hour.  Round to the nearest hundredth if necessary.

136.36 mph

400

Convert $40,000 per year into an hourly wage (dollars per hour).  Assume a 40 hour work week and 52 weeks per year.

$19.23 per hour

400

A recipe for lemonade calls for adding 1 cup of sugar to a half gallon of a lemon juice-water mixture.  If you want to increase the amount of lemonade to 3 1/2 gallons, how much sugar should you add to keep the level of sweetness the same?

7 cups of sugar

400

You have a picture that measures 9.5 cm by 6 cm.  How large can you make this picture and have it fit on a standard piece of copy paper (28 cm by 21.5 cm) while keeping the ratio of the original sides the same? Round to the nearest hundredth. 

27.55 cm by 17.4 cm

500

Convert 44 miles per hour into feet per second.  Round to the nearest hundredth if necessary.

64.53 feet per second

500

Recent statistics indicate that the average American consumes 152 pounds of sugar per year.  How many ounces of sugar per day?  Round to the nearest hundredth.

6.66 ounces per day

500

A baby elephant weighed 205 pounds at birth.  As an adult, this elephant will likely weigh 13,000 pounds.   The average human baby weighs 7.5 pounds at birth. If the child grows proportionally to the baby elephant, how much will that child weigh as an adult? Round to the nearest tenth.

475.6 lbs

500

Continued from 400

How much of the piece of copy paper will be blank- not covered by the enlarged picture?

122.63 cm