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Proportions Test
About Proportions:

When two ratios are equal, they are called a proportion. For example, let’s think about a school that has 30 students and 5 teachers. The ratio of teachers to students is 1:6. Another school has 120 students and 20 teachers. The ratio of teachers to students is also 1:6. These two ratios represent a proportion.

Test Objectives:

•Demonstrate the ability to use the equality test for fractions to determine if two fractions are equal

•Demonstrate an understanding of the definition of a proportion

•Demonstrate the ability to determine if two ratios represent a proportion

Proportions Test:




#1:


Instructions: Determine whether each is a proportion.


a)


 8  ?  2
10 5

b)


4  ?   8
7 14

c)


2  ?  5
3 7

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#2:


Instructions: Determine whether each is a proportion.


a)


4 yards of yarn  ?  20 yards of yarn
3 sweaters 15 sweaters

b)


6 dollars  ?  8 dollars
3 pesos 7 pesos

c)


13 men  ?  39 men
26 women 52 women

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#3:


Instructions: Determine whether each is a proportion.


a)


5 grams salt  ?  30 grams salt
20 gallons water 100 gallons water

b)


8 defects  ?  48 defects
120 rims 720 rims

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#4:


Instructions: Determine whether each is a proportion.


a)


14 homes sold  ?  7 homes sold
124 homes viewed 62 homes viewed

b)


10 miles  ?  25 miles
2 gallons of gas 3 gallons of gas

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#5:


Instructions: Determine whether each is a proportion.


a)


18  ?  36
10 40

b)


4 turtles  ?  8 turtles
7 dogs 14 dogs

c)


3 women  ?  27 women
5 boys 40 boys

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Written Solutions:




#1:


Solution:


a) not a proportion


b) proportion


c) not a proportion


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#2:


Solution:


a) proportion


b) not a proportion


c) not a proportion


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#3:


Solution:


a) not a proportion


b) proportion


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#4:


Solution:


a) proportion


b) not a proportion


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#5:


Solution:


a) not a proportion


b) proportion


c) not a proportion


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