A ratio is a comparison of two quantities. For example, let’s suppose that there are four girls in a classroom, along with two boys. The ratio of girls to boys is 4:2, which simplifies to 2:1. This is telling us that there are two girls in the classroom for every one boy.

Test Objectives
• Demonstrate the ability to write a ratio as a fraction and simplify
• Demonstrate the ability to describe a given scenario using a ratio
• Demonstrate the ability to find the unit rate
Ratio Definition Practice Test:

#1:

Instructions: Write each ratio as a fraction and simplify.

a) 8:4

b) 16:24

c) 15:75

d) 100:10

e) 12:3

#2:

Instructions: Find the ratio and simplify.

A field trip contained 35 girls and 15 boys.

a) What is the ratio of girls to boys?

b) What is the ratio of boys to girls?

A football team had a win/loss ratio of 5:1. If they played a total of 12 games:

c) How many games were won?

d) How many games were lost?

#3:

Instructions: Find the ratio and simplify.

a) On a church trip, there were 4 boys for every 3 girls. If there were a total of 48 boys on the trip, how many girls were there?

#4:

Instructions: Find each unit rate.

a) A meal that contains 220 calories with 22 grams of fat

b) Traveling 320 miles on 20 gallons of gas

#5:

Instructions: Find the unit price and state the better deal.

a) 46 flash drives for $92, 12 flash drives for$36

b) 8 ink cartridges for $120, 23 ink cartridges for$368

Written Solutions:

#1:

Solutions:

a)

 8 = 2 4 1

b)

 16 = 2 24 3

c)

 15 = 1 75 5

d)

 100 = 10 10 1

e)

 12 = 4 3 1

#2:

Solutions:

a)

 girls = 7 boys 3

b)

 boys = 3 girls 7

c) 10 games were won

d) 2 games were lost

#3:

Solutions:

a) 36 girls were on the church trip.

#4:

Solutions:

a) 10 calories per 1 gram of fat

 10 calories 1 gram of fat

b) 16 miles per 1 gallon of gasoline

 16 miles 1 gallon of gasoline

#5:

Solutions:

a) 46 flash drives for $92 is the better deal. $92 = $2 46 flash drives 1 flash drive $36 = $3 12 flash drives 1 flash drive b) 8 ink cartridges for$120 is the better deal.

 $120 =$15 8 I.C. 1 I.C.
 $368 =$16 23 I.C. 1 I.C.