RATIOS AND UNIT RATES
UNIT CONVERSIONS
SOLVING PROPORTIONS
Dimensional Analysis
PROPORTION WORD PROBLEMS
100

write a ratio to represent a car's speed of 55mph

What is 55/1

100

Convert 5 feet into inches.

What is 60in

100
solve 48/20 = 12/n
What is n =5?
100

Convert 15 yards per year to inches per day.

What is 48 in/day

100
Michelle works 8 hours for $140.00. If he works 19.5 hours, how much will she earn?
What is $341.25?
200
John travels 1686 miles in 3 days. How far did John travel per day?
What is 562 miles per day?
200

Convert 5 feet into inches.

What is 5yd

200
Write a proportion and then solve: x is to 6 as 12 is to 15.
x/6=12/15 x = 4.8
200

Convert 12 feet per second to yards per minute

What is 240 yd/min

200
Three slices of cheese cake have 4,200 calories. How many calories will 8 slices of the same cheese cake?
What is 9,800 calories?
300
Which is the better buy? 36 books for $250 or 30 books for $209
What is 36 books for $250?
300

Convert 150 minutes to hours.

What is 2.5 hours

300
Does the pair of ratios form a proportion? 3/16 and 9/48
What is yes?
300

Convert 70 miles per hour to feet per second. (There are 5,280 ft / 1 mi)

What is 102.67 ft/sec

300
Tara got 88% of the questions correct on her test. She answered 44 problems correctly. How many questions were on the test?
What is 50?
400

There are 18 red cars to 6 white cars in the parking lot. Write a ratio as a fraction in simplest form of the number of red cars to the total number of cars in the parking lot

What is 3/4?

400

Convert 48 ounces to pounds. (There are 16oz in 1lb)

What is 3 lbs

400
Solve the proportion for y: b/y = 1/2
What is 2b?
400

Convert 2.5 grams per minute to kilograms per hour. (There are 10^3 grams in a kilogram)

What is 0.15kg/hr

400
The quarterback at Catoctin High School threw 86 passes during the football season. He completed 39 passes. What percent of the passes were completed?
What is 45%
500

John ate 15 hotdogs, Mark ate 12 hotdogs and Sam ate 13 hotdogs. Write a ratio as a fraction in simplest form for the number of hotdogs Mark ate to the total number of hotdogs eaten

What is 3/10?

500

Convert 0.75 kilograms to grams (There are 10^3 grams in a kilogram)

What is 750 grams

500
Solve the proportion for x: z/y = x/4
What is 4z/y?
500

Convert $45.00 per gallon to cents per ounce. (There are 128oz in a gallon)

What is 35.16 cents/oz

500

A typist can type 120 words 100 seconds. How long would it take her to type 258 words?

What is 215 seconds?

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