Basic Mathematics for College Students

CHAPTER 5 TEST

1. Fill in the blanks.
   a. A is the quotient of two numbers or the
   quotient of two quantities that have the same
   units.
   b. A is the quotient of two quantities that have
   different units.
   c. A is a statement that two ratios (or
   rates) are equal.
   d. The products for the proportion are
   and.
   e. Decimeans ,centimeans , and
   millimeans.
   f. The meter, the gram, and the liter are basic units
   of measurement in the system.
   g. In the American system, temperatures are
   measured in degrees. In the metric
   system, temperatures are measured in degrees
   .


2. PIANOS A piano keyboard is made up of a total of
   eighty-eight keys, as shown below. What is the ratio of
   the number of black keys to white keys?

Write each ratio as a fraction in simplest form.

3. 6 feet to 8 feet


4. 8 ounces to 3 pounds


5. 0.26 : 0.65


6. to


7. Write the rate 54 feet in 36 seconds as a fraction in
   simplest form.


8. COMPARISON SHOPPING A 2-pound can
   of coffee sells for $3.38, and a 5-pound can of the
   same brand of coffee sells for $8.50. Which is the
   better buy?


9. UTILITY COSTS A household used
   675 kilowatt-hours of electricity during a
   30-day month. Find the rate of electric usage
   in kilowatt-hours per day.


10. Write the following statement as a proportion:
    15 billboards to 50 miles as 3 billboards to
    10 miles.

(^3 133 89)
Middle C

3  16 8  6

3

8 

6

16

11. Determine whether each proportion is true.

a. b.

12. Are the numbers 7, 15 and 35, 75 proportional?

Solve each proportion.

13. 
    
    
    
    14. 
        
    
    
    
    


14. 
    
    
    
    16. 
        
    
    
    
    


15. SHOPPING If 13 ounces of tea costs $2.79,
    how much would you expect to pay for 16 ounces
    of tea?


16. BAKING A recipe calls for cup of sugar and
    5 cups of flour. How much sugar should be used
    with 6 cups of flour?


17. a. Refer to the ruler below. Each inch is divided into
    how many equal parts?
    b. Determine which measurements the arrows point
    to on the ruler.


18. Fill in the blanks. In general, a unit conversion factor
    is a fraction with the following form:


19. Convert 180 inches to feet.


20. TOOLS If a 25-foot tape measure is completely
    extended, how many yards does it stretch? Write
    your answer as a mixed number.


21. Convert pounds to ounces.


22. AUTOMOBILES A car weighs 1.6 tons. Find its
    weight in pounds.


23. CONTAINERS How many fluid ounces are in a
    1-gallon carton of milk?

(^10 34)
Numerator
 Denominator
Unit that we want to 
Unit that we want to
1 2 3
Inches
(^123)

25

1

10



50

x

2

2

9

4

3



x

1

1

2

15.3

x



3

12.4

x

3



35

7

2.2

3.5



1.76

2.8

25

33



2

3

494