Math 111, Fall 2012
Test 3
PRINT your name on the back of the test and note your class (MW or TTh a.m. or TTh p.m.).
Directions
1. Time limit: 50 minutes.
2. To receive credit on any problem, you must show work that explains how you obtained your answer or
you must explain how you obtained your answer.
3. Write your work in pencil in the provided spaces. Your work must be neat, organized, and legible.
Box your answers.
4. You may use a calculator, but you may not use any notes, books, or other resources.
5. You may not share the use of a calculator. You may not use a cell phone, iPod, or similar device.
6. You are expected to do your own work. You are neither to receive nor to give any help on the exam.
Additionally, you are expected to report to your instructor anyone that you observe may be receiving or
giving any help on the exam.
I have read the directions.
Initial:
Student ID number:
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1. Find the missing forms of each number and write your answers in the table below. Show any work in
the space provided.
Fraction Form
Decimal Form
Percent Form
7
8
0.06
24%
2
66 %
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2. Write seven thousand five hundred and eighty-three ten-thousandths in standard notation.
3. Round 0.001 91 to the nearest thousandths.
4. Suppose that the total interest that will be paid on a 30-year mortgage for a home loan of $150,000 is
going to be $480,000. What will be the payment each month if the payments are to pay off both the
loan and the interest?
2
5. Change the fraction
7
to decimal form.
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6. Solve the following equations.
(a) 0.7x + 10.2 = 31.9
(c) 3y = −22.8 + y
(b) 0.1x + 0.2(x − 7) = 0.142
(d) 15y + 10 = −25.45 + 20y
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7. “Purple cow” is a delicious drink that is made by mixing grape juice and milk. John wants to figure out
how many fluid ounces of purple cow that is 10% grape juice should be mixed with 10 fluid ounces of
purple cow that is 35% grape juice to get a drink that is 20% grape juice. To figure this out, John may
solve the equation
10% · g + 35% · 10 = 20% · (g + 10),
where g is the number of fluid ounces of purple cow that is 10% grape juice. Solve the equation for John
and tell him how many fluid ounces he needs of purple cow that is 10% grape juice.
8. Answer the following questions.
(a) What do we call a triangle that has one angle equal to 90◦ ?
(b) What do we call the side of a triangle that is opposite the 90◦ angle? What do we call the other
two sides?
(c) If the side of a triangle that is opposite the 90◦ angle has length z, and the other two sides have
lengths x and y, then the three lengths are related by the equation x2 + y 2 = z 2 . What is the name
of the theorem that gives this relation?
(d) In a circle, what is the distance from the center to any point on the circle called?
(e) What is the distance across a circle (through the center) called?
(f) What is the perimeter of a circle called?
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9. Find the area and perimeter of the following figures.
(a) Triangle.
(b) Circle: diameter = 4 inches.
32 cm
40 cm
24 cm
area =
area =
perimeter =
perimeter =
10. Find the missing length x and the missing angle y.
y
24 m
26 m
67.38◦
x
x=
;y=
11. The perfect purple cow drink is made with 3 fluid ounces of grape juice and 5 fluid ounces of milk. (This
makes an 8-fluid-ounce glass of the delicious drink.) What percent of the perfect purple cow drink is
grape juice?
5
12. Solve for the unknown quantity.
(a) 20% of
(b) 15% of 70 is
(c) 115 is
is 45.
.
% of 460.
13. An auto dealer paid $8730 for a large order of special parts. This was not the original price. The amount
reflects a 3% discount off the original price because the dealer paid cash. What was the original price of
the parts?
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14. Consider the following figure that is composed of a semicircle glued to a triangle.
4 ft
3 ft
(a) Find the area of the figure.
(b) What percent of the total area of the figure is the area of the triangular part? (Round to two
decimal places if needed.)
Reminder: The final exam is on Thursday, December 6, 3–4:50 p.m. on the main campus in Msvl; room TBA.
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