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Ratios
Math
Middle School Math

 

Name _____________________________
Date ___________________
Ratios
State whether the ratios are proportional. Write yes or no.
1.  
6

66
  ,  
3

33




2.  
136

171
  ,  
15

19




3.  
18

22
  ,  
72

104





Solve each proportion.
4.  
792

36
  =  
u

27




5.  
r

153
  =  
5

17




6.  
351

45
  =  
546

y





Solve each proportion.
7.  
s

28
  =  
3

4




8.  
64.4

58.8
  =  
j

109.2




9.  
442

a
  =  
238

21





Create a proportion from each set of numbers. Only use 4 numbers from each set of numbers.
10.   9, 3, 2, 6




11.   19, 47, 423, 171, 855





 

Key #2
Complete the unit conversions.
12.   8 centigrams to milligrams
8 cg    
          mg

          cg
  =    ________  milligrams
13.   80 ounces to pounds
80 oz    
          lb

          oz
  =    ________  pounds

Complete the unit conversions.
14.   22 pints to quarts
15.   468 inches to yards
16.   18 mins to secs
17.   10 kilograms to grams
18.   6 meters to millimeters
19.   120 pints to gallons

Find the unit rate. Round your answer to the nearest hundredth.
20.   1464 calories for 6 servings of pie
________ calories per serving



21.   a 4.3-kg bag of peaches for $8.90
________ per kg




Fill in the missing dimensions. Round your answer to the nearest tenth.
22.   The scale factor for a model is 4 in = 13.1 yd
model:  17.2 in
actual:  ________ yd




23.   The scale factor for a model is 6 cm = 10.8 m
model:  47 cm
actual:  ________ m





 

Key #2
Use a proportion to find the unknown length in the pair of similar figures.
(drawings are not drawn to scale)

24.  
length of sides:
DA  =  ________
AB  =  100 m
CD  =  100 m
BC  =  ________
        
OP  =  30 m
MN  =  30 m
PM  =  18 m
NO  =  18 m
25.  
length of sides:
KL  =  96 ft
JL  =  112 ft
KJ  =  64 ft
        
CB  =  72 ft
AB  =  108 ft
AC  =  ________

Complete.
26.   If the probability that a chicken will cross the road is one-fourth, then what is the ratio that the chicken will cross the road to the chicken will not cross the road? _______ to _______

27.   Which is bigger, a third of 36 or one-sixth of 138?


 


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Ratios
Math
Middle School Math