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Ratios & Rates Test
About Ratios & Rates:

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

Ratios & Rates 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


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#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?


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#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?


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#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


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#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


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Written Solutions:




#1:


Solution:


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

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#2:


Solution:


a)


girls  =  7
boys 3

b)


boys  =  3
girls 7

c) 10 games were won


d) 2 games were lost


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#3:


Solution:


a) 36 girls were on the church trip.


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#4:


Solution:


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

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#5:


Solution:


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.

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