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Date:
EMDT 3350: Midterm Examination
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MULIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question, Each
:xercie will count 4 points each.
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Solve the problem.
1) How many different ‘.vavs can you make change for a 50—cent coin using quarters, dimes, and
nickeis?
A)8
C)11
D)9
1)
2) Alamo, Brushy, Chet, and Dolly are in an armadillo race. Chet is the slowest. Dolly is faster than
Alamo, hut slower than Brush’. Name the finishing order of the armadil]os.
A Alamo, Brushy, Dolly, Chet
B) Brushi, Alamo, Dolly, Chet
C) rushy, Dolly, Alamo, Chet
D) Alamo, Dolly, Brushy, Chet
2)
3) Ethan was asked by his teacher to subtract 10 from a certain number and then divide the result by
5. Instead, he subtracted 5 and then divided the result by 10, giving an answer of 20. What would
h atwer have been if he had worked the problem correctly?
Aj39
.B) 40
C) 19.5
D) 41
3)
Provide the appropriate response.
4 List all primes between 100 and 200.
A) 101, 107, 109, 127, 131, 137, 139,
B) 101, 103, 107, 113, 127, 131, 137,
C) 101, 103, 105, 107, 109, 113, 115,
167, 173, 175, 179, 181, 185 191,
D) 101, 103, 107, 109, 113, 127, 131,
199
4)
149, 151, 157,
151, 157, 163,
125, 127, 131,
195 197, 199
137, 139, 149,
167, 179, 181,
193, 197, 199
167, 173, 179, 181, 191, 197
135, 137, 139, 145, 149, 151, 155, 157, 163, 165,
151, 157, 163, 167, 173, 179, 181, 191, 193, 197,
Identify the number as prime, composite, or neither.
5)
5)1
A) Prime
B) Neither
C) Composite
Find the number of divisors of the number.
6)60
A) 16
B) 10
6)
C)12
D) 14
Solve the problem.
7) If a group of 238 people is to be split into equal—sized subgroups of at least two people and no
more than 30 people, what are the possible numbers of groups?
A),2, 7, 14, 17, 34, and 119
B) 14, 17, 34, and 119
7,
14,
and 17
D)14and17
( C)2,
Find the GCD for the given numbers by an appropriate method.
8)4a0-and900
A),60
B) 30
C) 480
D) 180
Find the LCM for the given numbers by an appropriate method.
9)112 and 96
B) 336
A) 224
C)72
D) 1344
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8)
9)
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Solve he problem.
10) Planets A, B, and C orbit a certain star once every 3, 7, and 18 months, respectively. If the three
planets are now in the same straight line, what is the smallest number of months that must pass
/7
before they line up again?
I,, C) 26 months
D) 28 months
B) 54 months
A) 378 months
10)
Divider- Express your answer in simplest form.
11)
-11)2--÷8
‘
3
C)-
2
B)--
2
A
Solve the problem.
2) A statistician has readings that take 1+ minutes each to read and record. How many readings can
he completed in 108 minutes?
B) 12 readings
A) 37 readings
12)
ç D)1 readings
C) 144 readings
Find the requested angle.
13) The sum of two angles of a triangle is 140°. AThat is the supplement of the third angle of the
tingle?
D) 5Q0
C) 140°
B) 70°
(A)o°
i3)
A
Refer tc this figure to answer the question. Line DH is parallel to line TM. Line BO is perpendicular to line DH.
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M
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14)
is 58°. at is the measure of LJEF?
A) Cant determine
C)122°
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B) 58°
D) 32°
Use the distance formula to find the distance between the pair of points.
15) (—5, 6) and (3,2)
C) 12
B) 18
A) 48-J
Convert the angle from degrees to radians. Express the answer as a multiple of
16)144°
C)-
15)
,—.--
t.
16)
D)D
C,
B-2
Find tile nieasure of the angles.
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7)
B
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LA (7x-55)°,LB=(4x-,)
A) 123° and 57°
)7° and 57°
C) 33° and 33°
D) 123° and 123°
Use the fundamental identities and the given information to find the exact values of the remaining trigonometric
functic,flS of x.
$)cosx=-andsinx-jFA) tan x
B) tan x
L) tan x
(an x
=
24
-----,
—
7
—
25
cscx=—-, secx
24
—s--, csc x
—
-,
18)
csc x
csc x
25
=
2S
=
—
—
25
=
sec x
---,
—
sec x
25
—s-, cot x
2
sec x
—--,
=
cotx=
cot x
7
--
7
=
-
24
=
—
cot x
—
-
Simplify the complex fraction.
11
78
19)
14
16
(A
B)-2
C)
D)4
Solve the problem. Use 3.14 for it.
20) A rectangular Persian carpet has a perimeter of 164 inches. The length of the carpet is 18 inches
more than the width. What are the dimensions of thecp?
A) 64 in. by 82 in.
B) 50 in.hy 68 in.
in. by 50 in.
D) 73 in. by 91 in.
B-3
20)
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SHOIZ.T ANSWER. Write the word or phrase that best completes each statement or answers the question. Each exercise
will cUflt 4 points each.
Solve -{he problem.
21) A girl asks her father how many ties he hs and he answers with a riddle: Seven—eighths
of my ties plus two.” How many ties does her father have?
21)
±!
X2
2
2,:
(try
22) Place the numbers 6, 8, 9, 10 and 11 in the circles to make the sum across and vertically
equal to 25.
22)
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Complete the magic (addition) square.
23) Use each number 19,20,21, 22,i24, 25,
and 27 once.
23)
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Solve the problem.
4) Of 900 middle school students interviewed, 254 said they only liked hamburgers for lunch,
461 said they liked only hot dogs, and 140 said they liked both hamburgers and hot dogs.
How many of the middle school students interviewed didnt like either?
24)
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25) The farmyard is full of cows and ducks. There are 36 heads and 100 legs in the farmyard.
How many cows are there and how many ducks are there?
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BONUS. Verify the identity. This exercise will count for 5 points.
x + cos x I + 2 sin x cos x
6)
SjflXCOSX
x—1
2
2sin
2srY
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26)
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