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MATH PRACTICE TEST Ill
35 Minutes - 22 Questions
MODULE I
If x® = 64, then find x2 4. Let D, Land M be sets.
D={a,b, c,d, e}
a L=b.ceq0
B) 4 M=DNL is given. According to these
ga sets which of the following is equal to set,
Lu(oam?
D) 16
A) D
B)L
c) MuD
D) LuD
If 4%? = 87, then what is the value of x? —
é
ay 3
<
B) 2 £
=
Co 3 §
D) 4 2
5.
Whats the solution to the equation above?
and y? — b? = 27, then what is As
the value of x? ~ a?? 8) 8
Qt
A 12
D) 22
B) 20
c) 24
D) 25
&7 MATH PRACTICE TEST II
35 Minutes - 22 Questions
MODULE!
[k-+m
2m|+|m—k|
m—Ikl
From the above equation, if 0 > k > m, what
is the solution of the equation?
A) 2m
B) k
Cc) m+k
Db) o
fy ~3x = 10, then which of the following is
equal to 6x?
A) y-5
B) 2y-5
©) 2y-20
D) 2y+20
x 1 2/3 4 5
y | 9 | 13 | 47 | 21 | 25
Bee eee te
Which of the following equations relates y
to x for the values in the table above? (In
the x-y plane)
3x
a) Bea
81
B) 7%x+8t
co) X49
2
5
D) 2x+3
9.
‘American Math Academy
5
Ifa=1—Siand b = 1 + Si, then which of
the following is equal to a - b?
A) 10
B) 15
©) 25
D) 26
t
‘Area of square X
HR le is between 102 to
133,
t
k
Area of square Y is
k] Yo |k between 244 to
283.
k
The side lengths and their area values are
given above. If each side of the square has
an integers value, what is the sum of k + t?
A) 25
B) 27
©) 30
D) 35 MATH PRACTICE TEST Ill
35 Minutes - 22 Questions
MODULE!
Answer the following two questions accor- | 13. The range of the polynomial function f is
ding to the chart given below. the set of real numbers less than or equal
to 2. If the zeros of f are 5 and 3, which of
Subject Correct | Incorrect the following could be the graph of y=f(x) in
the xy-plane?
Math 120 40
Physics 60 15 A '
Biology 45 15
The chart is about Frank's test correct and 4 lo
incorrect answers for each subject
11. What is the percentage of correct answers B) 4
of all math questions? 2
A) 50
B) 60
©) 75
‘American Math Academy
x
oO
&
D) 80 °
42. The following formula calculates the test
correction average. a lo 3
(Correct answers—incorrect answers) “2
(Phy +Bi
Find the rate of PPYaa* Bie)
Mating
D)
A
as
B 2
o 4%
15
16 v
D) 14.
15.
MATH PRACTICE TEST II
35 Minutes - 22 Questions
MODULE!
A{0, 1,2, 3, 4, 5, 6, 7, 8, 9}
What is the probability of selecting an even
number in set A?
7
a4
3
8) 3
5
Oo &
2
p) 2
:
g
=
&
° L 7
4a ba :
140 2
s ue
OS // LH
m(SOU) = 4a, Z(ULH) = 3a, and 2(OUL) = 140)
‘So what is the value of 2a?
A) 30
B) 40
Cc) 50
D) 80
16.If x and y are positive integers and,
4x =y°=8, then which of the following is
the value of x — y?
17. On the xy coordinate grid, a line K contains
the points (1,3) and (-2,4). If the line L is
parallel to line K at (2,1), which of the fol-
lowing is the equation of the line L?
1 5
A) pty
2.8
B) gxtg
©) =-Jxrd
es
D) =-gx+8
48. x and y are integer numbers.
—1 >
A) 20%
Da
= B) 30%
©) 45%
D) 50% MATH PRACTICE TEST il
35 Minutes - 22 Questions
MODULE II
17.
Which of the following could be the equati- Using the above {(x) function, find the value
on of the graph above? of f(0) + F1(-2) + £3)?
A) x. —3).& +3) AS
B) x?. (x +4). (5) B) 10
C) x. 0@— 16) - C) 12
D) x2. +4). «-3) g O46
g
3
2
=
A 48. In a right triangle, one angle measures x’,
<> where cosx’=.5..
ax 13
What is the tan(90 — x’)?
A feo" \ a#
B D Cc
5
What is the value of x? 12
o%
A) 10°
D) 13
B) 20° 12
C) 30°
D) 40°
7 MATH PRACTICE TEST Ill
35 Minutes - 22 Questions
MODULE II
Note: Figure not drawn to scale
on AD above, AB = CD. What is the length
of AD?
20. In the xy-plane, the point (3, 5) lies on the
graph of the function h. If h(x) = x? — ¢,
where ¢ is a constant, what is the value of
o?
‘American Math Academy
72
3x-1_ 3
“xa x2
The expression above is equivalent to
k
2)"
x42. What is the value of k?
where k is a positive constant and
22. An airplane traveled 1.5 x 10? miles per
hour for 0.5 x 10? hours. How far did the
airplane travel? MATH PRACTICE TEST IV
35 Minutes - 22 Questions
MODULE |
4
1. fx? =64,thenfind 3.
A) 2"
B) 2"7
o 28
Db) 2
. IF 99) = 277, then what is the value of x?
a4 2
B) 2 3
°) 3 2
D4 g
2
&
‘What is the solution to the equation above?
A) -2
B) -3
Q) -
D) -
No wir
85
Which of the following is equal to
4, If8y— 5 =10, then which of the following
i Xo
is equal to 57
A) 6y-20
B) 3y—10
c) y-20
D) 6y+20
A) 1-iv3
B) 143
o4
D) 3i
—b?=36
ae
atb 9
a-b
From the above equations, if a and b are
integers, what is the value of a?
A) 3
B) 4
o5
Dd) 6 MATH PRACTICE TEST IV
35 Minutes - 22 Questions
MODULE!
9. A fitness center has two membership
i 3 i 1
. 6 years old, Laurie is 6, years
ca a? plans. One is a $23 membership fee and
Old, Jim is 6.25 years old. Mark is 6.5 ye~ $7 per visit and another one is only per visit
ars old. Which two children have the same fees of $13.Which of the following systems
age? of equations can be used to determine the
fitness center membership plans?
A) Laurie and Mark
A) y=7+23x
B) Thicio and Jim y=13
©) Mark and Jim B) y=23+7x
D) Laurie and Tricio yeiix
©) y=13
y=23+7x
=
5
<
3
5
é
£
= = (uti oy) eto) by 2) hed by
8. IfA=\5,B=16,C=3,andD =\20,whatis | 10. A~! Re hd
the value of|A—B|+|C—B|+|D-C|? A number is applied step by step in the di-
rection of arrows and the result is 14.
Which of following is true for A?
A 5
B) 0 A) Aisa prime number.
o)-15 B) Ais aeven number.
Dd) 6 ©) Aisa perfect square.
D) Ais anegative number. 11.
1a
MATH PRACTICE TEST IV
35 Minutes - 22 Questions
MODULE!
If x and y are positive integers and
y=x49
y=7x-3
Which of following could be value of x?
A) 2
B) 4
e
<
2
8
é
g
et
2km = k+m
From the above equation what is the value
of min terms of k?
ak
B) +4
Cc) K-41
Dk
87
43. If x hour is equivalent to y minutes, of the
following, which best represents the relati-
onship between x and y?
A) x=y
B) x=30y
©) x=60y
D) x=120y
14, -3)7 + (y +7? =16
If a circle in the xy-plane has the equation
above, what is the radius of the circle?
A 3
B) 4
5
D7 MATH PRACTICE TEST IV
35 Minutes - 22 Questions
MODULE!
16. IF x, y and z are real numbers and;
A B o.oo
705 a
x .2>0
ye-z<0
Pp Ee Which of the following must be true?
x
A tet
AB // DE B) —+,-
What is the value of x?
OQ +4--
A) 120° D) +-.+
B) 140°
C) 150° ae
5
D) 160° 3
2
2
5 17.
é
£
If DC // AB in the above figure, what is the
value of x?
A 2
B) 4
c) 6
D8 MATH PRACTICE TEST IV
35 Minutes - 22 Questions
MODULE!
48. If x and y are positive integers and “x = | 21.Melissa’s monthly electrical bill was $125.
y* = 16, then which of the following is the Due to a rate decrease, her monthly bill is
value of x ~ y? now $110. To the nearest to tenth of a per-
cent, by what percent did the amount of
the customers electrical bill decrease?
19. What is the value of k if a line that passes
through (-7, 3) and (2, k) has a slope of 1?
=
q
2
a
eS
i
2 5k _4
20. 22, 9455 = gK+7
Be What is the value of kin the equation shown
x-Sy=8
a above?
In the system of equations above, what is
the value of x + y? MATH PRACTICE TEST IV
35 Minutes - 22 Questions
MODULE I
4. Suppose that x is an integer such that is
10 greater than %. Which of the following
is the value of x?
A) 180
B) 190
©) 200
D) 210
2
Cc
lax 8
A 6x\O
Fromthe figure (BOC) 4x, and (AOD)=6x.
What is the value of x?
A) 12°
B) 16°
c) 18°
D) 20°
American Math Academy
92
3. What are the solutions of x in the following
system of equations?
-ax+y=14
Sx-y=6
A) 1,4)
B) (4,5)
Cc) (-4,-§)
D) (-5,4)
ca
What is the solution(s) for y in the following
‘equation?
We
A) 16 and -16
B) 92 and -32
C) 16 only
D) 32 only
2x+3, x<0
x+4, x20
1
From the above function, find f (1) + f (-2)?
A7 6.
MATH PRACTICE TEST IV
35 Minutes - 22 Questions
MODULE It
In the following cylinder shape, if the volu-
me of the cylinder 727 cm*,find the radius
of the cylinder.
'6om
B)
°)
D)
If a is the average of 8k and 10, b is the
average of 6k and 10, and c is the average
of 10k and 40,what is the average of a, b,
and c in terms of k?
A) 4k +20
B) 4k-15
©) 4k +15
D) 4k +10
‘American Math Academy
93
8. Two classes took a science test. The first
class had 20 students and their average
test score was 90%. The second class had
24 students and their average score was
85%. If the teacher combined the test sco-
res of both classes, what is the average of
both classes together? Round your answer
to the nearest percent.
A) 82%
B) 83%
C) 86%
D) 87%
x+y
7
_ 2x+5y
12
Base on the formulas, what is the value of
x in terms of y?
Formula A: A=
Formula B: A
23
A) X=3pY
22
oe
©) x=28y
D) x=22y
10. If 7 =T7 and x + y = 35, whatis the value of
x-y?
A) 18
B) 21
©) 24
D) 27 MATH PRACTICE TEST Iv
35 Minutes - 22 Questions
MODULE I
11. The a moves from A to B and the dis-
t 1 of the total. When the aiieta
arrives at fo, the distance equals to
tance is
+ of
the total. When the athlete arrives at B, the
time is 8:50AM. When the athlete arrives at
C, the time is 9:00AM. What time is it when
the athlete arrives to D?
A) 10:00AM.
B) 10:20AM.
C) 9:40AM.
D) 9:50 A.M.
12. If a,b and c are positive integers and;
a+bisodd
a-ciseven
b-cisodd
Which one of the following is must be an
odd number?
A) a’b
B) a+2b
°)
D)
b%c
a+2c
‘American Math Academy
3, 7sinx’ +2co:
14.
3
4cosx"+5sinx” 5°
then what is cot x"?
AN7
B) 9
Cc) 10
D1
From the above equation, if x = 18 and y =
6, then which of the following could be the
value of 2?
A)
B) 6
8
D) MATH PRACTICE TEST IV
35 Minutes - 22 Questions
MODULE II
A 17. In the xy-plane the point (3, 8) lies on the
graph of the function f.
f(x) =t—3x®, Where tis a constant. What is
% eam the value of t?
A) 31
A al
B D c
16m B) 98
G) 35
D) 37
What is tle length of x?
A) 8m
B) 8/2m a
i 2
©) 1212m 3
D) 16m a
&
=
8
Bx-1 2x x8 3 5423, x2.
: eet E 18. [x}2>[ 53 24
A B ic D < O
According to the figure above, what is x?
Note: Figure not drawn to scale.
On|AD|above,and|AB|=2|CD|. A) 50
|AB|=3x-1 B) 40
IBC |=2x ©) 30
|cD|=x+8
Whatis thetength of |AD|?
D) 20
A) 103
B) 105
©) 107
D) 109
95 MATH PRACTICE TEST IV
35 Minutes - 22 Questions
MODULE I
19. If the ratio of the circumference to the area | 21.3” + 3Y + 3” = 81%, then find y.
of a circle is 2 to 3, what is the radius of the
circle?
20, 2%. 2%. 2. 2* = 64, then find x. 22. x= Ty and %— ¥=57, then find x.
American Math Academy
