# Mathematics exam Essay

20 questions each worth 5 points for a total of 100 points

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1.

A)

B)

C)

D)

Solution:

=

=

=

2.

A)

B)

C)

D)

Solution:

=

=

=

3.
What is the perimeter of a rectangle if the length is  ft and the width is  ft?

A)
ft

B)
ft

C)
ft

D)
ft
Solution:

Perimeter of a Rectangle = 2(Length+ Width)

= 2(     +   )

=  ft

4.
Evaluate. Write the answer in lowest terms.

A)

B)

C)

D)

Solution:

=

=

= (Immergut & Smith ,2005).

5.
Find the least common multiple of 3, 6, and 9.

A)
9

B)
18

C)
27

D)
36
Solution:

3|3, 6, 9

2|1, 2, 3

3|1, 1, 3

1 |1, 1, 1

3x 2 x 3 = 18

6.
Four buttons have diameters of , , , and  inches. Which button is smallest?

A)

B)

C)

D)

Solution:

The Button with the least diameter will be the smallest and the least diameter is .(Immergut & Smith ,2005).

7.
Greg spent  hour (h) responding to emails and  h returning phone calls. How much time did he spend on the two activities?

A)
h

B)
h

C)
h

D)
h
Solution:

Greg spent a total of + =  h

8.
Jon spent  of his study time doing math homework and  preparing for a history exam. What fraction of his study time remains?

A)

B)

C)

D)

Solution:

The total time that remained was 1-( + ) =

9.
Mr. Chavez owned  of a family business. He sold  of the business to his nephew. What portion of the business does he still own?

A)

B)

C)

D)

Solution:

Mr. Chavez has – =  still with him.                                                Rough Work

The Correct Answer is B.                                                                          =

10.
Perform the indicated operations.

A)

B)

C)

D)

Solution:

+ – =

=

=

11.
Write the following as a common fraction or mixed number.

0.76

A)

B)

C)

D)

Solution:

.76 =

12.
Marc had the following expenses on a business trip: gas: \$53.83; food, \$135; lodging, \$99.85; and parking and tolls, \$8.50. What were his total expenses during the trip?

A)
\$307.18

B)
\$297.08

C)
\$296.68

D)
\$297.18
Solution:

The total expenses were = \$53.83+\$135+\$99.85+\$8.50

=\$297.18(Immergut & Smith ,2005).

13.
Subtract 0.36 from 6.

A)
6.64

B)
5.64

C)
5.36

D)
6.46
Solution:

6-.36 = 5.64

14.
You make charges of \$42.35, \$9.87, and \$54.89 on a credit card. If you make a payment of \$81.50, how much do you still owe?

A)
\$25.61

B)
\$107.11

C)
\$81.50

D)
\$39.15
Solution:

Total Charges on the Credit Card were = \$42.35+ \$9.87 +\$54.89

=\$107.11

Total Payment                                          =\$81.50

Total Amount owe                                   =\$107.11-\$81.50

=\$25.61

15.
Multiply.

A)
1.12392

B)
1.1592

C)
11.2392

D)
0.112392

Solution:

12042

10035x

0000xx

_________

0.112392

16.
If 1 gallon (gal) of water weighs 8.34 pounds (lb), how much does 3.75 gal weigh?

A)
31.275 lb

B)
12.09 lb

C)
15 lb

D)
30.125 lb
Solution:

8.34 x 3.75 =31.275 lb.

17.
Find the circumference of the figure. Use 3.14 for p and round your answer to one decimal place.

A)
37.7 ft

B)
75.6 ft

C)
37.6 ft

D)
75.4 ft
Solution:

Formula of Circumference of a Circle= 2pr

=2 x p x 12

=75.4 ft (Immergut & Smith ,2005).

18.
Find the area of the figure.

A)
18 ft2

B)
13 ft2

C)
36 ft2

D)
25 ft2
Solution:

Formula of Area of a Triangle= base x height

= 9×4

=18 ft2

19.
Cindy is carpeting a recreation room 24 ft long and 18 ft wide. If the carpeting costs \$18 per square yard, what will be the total cost of the carpet?

A)
\$7,776

B)
\$864

C)
\$2,592

D)
\$432
Solution:

Total Area of the Room = 24 x 18

=432 ft2

Total Cost of the Carpets = 432 x \$18 = \$7,776(Immergut & Smith ,2005).

20.
Find the decimal equivalent of the mixed number.

A)
1.125

B)
11.25

C)
0.25

D)
0.1125

Solution:

11+ =11+.25 =11.25

References:

Immergut, B & Smith, J.B. (2005). Arithmetic and Algebra Again, 2/e. McGraw-Hill

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