36
Preparation
mock (3)
name :
MR.HANY AZRA
TEL.:
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01121996861
01001510543
01273101024
Mock 3 @ MR. Hany Azra
First and last name
Question 1/60
A.
B.
C.
D.
E.
810
1,260
2,205
2,835
4,410
Question 2/60
A.
B.
.H
AN
C.
?
YA
What is the slope-intercept form of
ZR
A
Last year at RT University, the ratio of the number of students accepted to the number of students applying for
admission was 2 to 7. RT University accepted 630 students last year. How many students applied to RT
University last year?
D.
E.
Question 3/60
The Solution set of
is the set of all real values of
A.
B.
MR
C.
D.
E.
1
such that :
Mock 3 @ MR. Hany Azra
Question 4/60
Which of the following is equivalent to
?
ZR
A
A.
B.
C.
D.
Question 5/60
YA
E.
What is the area ,in square decimeters, of a right triangle with side lengths of 10dm , 26dm , and 24dm ?
432
312
260
240
120
MR
.H
AN
A.
B.
C.
D.
E.
2
Mock 3 @ MR. Hany Azra
Question 6/60
A.
B.
C.
D.
E.
12
52
68
80
96
AN
YA
ZR
A
In the figure shown below, all angles are right angles, and the side lengths given are in meters.
What is the area, in square meters, of the figure?
Question 7/60
.H
Each side of a square is 5 cm long. One vertex of the square is at
on a square coordinate grid marked in
centimeter units. Which of the following points on the grid could be another vertex of the square?
A.
MR
B.
C.
D.
E.
3
Mock 3 @ MR. Hany Azra
Question 8/60
AN
YA
ZR
A
A rectangular region of grass is 50 feet long by 24 feet wide and has an area of 1,200 Square feet
A gardener planted a 5-foot-wide flower border along all 4 sides of this region of grass, as shown below.
The outer edge of the flower border is 60 feet long and 34 feet wide.
A cement walkway will be added along one of the longest sides of the flower border and will be equal in length
to that side . The top of the walkway will be a rectangle with a width of 3 feet. The walkway will be 4 inches
thick. How many cubic yards of cement will be needed for this walkway ?
A.
B.
C.
.H
D.
MR
E.
4
Mock 3 @ MR. Hany Azra
Question 9/60
A.
B.
C.
.H
D.
AN
YA
ZR
A
Engineers are building a straight underwater pipeline from a drilling platform at P to an oil refinery located at R
on a straight stretch of coastline, as shown on the map below. The distance from the platform to the refinery is
5.4km, and the distance from the platform to the coastline is 3.7km. Which of the following expressions gives
the measure of the acute angle formed by the pipeline and the coastline?
MR
E.
5
Mock 3 @ MR. Hany Azra
Question 10/60
Whenever
and
, which of the following equations gives
A.
C.
AN
YA
D.
Question 11/60
In the standard
A.
B.
C.
coordinate plane, What is the slope of the line
.H
D.
?
ZR
B.
E.
in terms of
A
for positive values of
MR
E.
6
?
Mock 3 @ MR. Hany Azra
Question 12/60
In the figure below, 5 angle measures are given . The angle marked with a measure of
?
22.5
45
80
100
145
AN
YA
A.
B.
C.
D.
E.
ZR
A
What is the value of
is an exterior angle .
Question 13/60
The first 2 rectangles of a sequence of rectangles are shown below. The 1st rectangle is 4 inches long and 1
inch wide . The dimensions of the 2nd rectangle, and of each successive rectangle after the 2nd ,
.H
are determined by continuing the following pattern : The length is 3 inches longer than the
length of the previous rectangle , and the width is 1 inch longer than the width of the previous rectangle. What is
the perimeter, in inches, of the 6th rectangle in the sequence?
24
40
50
56
60
MR
A.
B.
C.
D.
E.
7
Mock 3 @ MR. Hany Azra
Question 14/60
You're on a salvage ship in the Pacific Ocean ,When your ship's sonar locates a shipwreck at an angle of
A.
B.
C.
D.
MR
.H
E.
AN
YA
ZR
A
depression of
, as shown in the figure below. After your ship travels 500 meters on the surface of the water
to be directly over the wreck, how many meters down would you have to dive to reach the wreck?
8
Mock 3 @ MR. Hany Azra
Question 15/60
Ms. Simons made a bar graph of the 20 scores on the last math test as shown below.
A.
B.
C.
D.
E.
AN
YA
ZR
A
Which of the following statements about the mean of the 20 scores is true?
The mean is less than 75
The mean is 75
The mean is between 75 and 85
The mean is 85
The mean is greater than 85
Question 16/60
For What real value of
3
5
11
14
16
?
.H
A.
B.
C.
D.
E.
is
Question 17/60
MR
Which of the following matrices is equal to the matrix product
A.
B.
C.
D.
E.
9
Mock 3 @ MR. Hany Azra
Question 18/60
Given
?
ZR
A
1
4
9
11
14
AN
YA
A.
B.
C.
D.
E.
, then
Question 19/60
Which of the following equations is that of a line parallel to the line with equation
standard
.H
A.
coordinate plane ?
B.
C.
MR
D.
E.
10
in the
Mock 3 @ MR. Hany Azra
Question 20/60
1foot
1foot
1foot
1foot
2feet
5 inches
8 inches
9 inches
10 inches
5 inches
AN
YA
A.
B.
C.
D.
E.
ZR
A
Shown below, a board 3 feet 8 inches long is cut into 2 equal parts. What is the length, to the nearest inch, of
each part?
Question 21/60
One square has a side whose length is
centimeters, and a second square has a side whose length is
centimeters. What expression below represents the sum of the areas of the 2 squares , in square centimeters ?
A.
B.
C.
.H
D.
MR
E.
11
Mock 3 @ MR. Hany Azra
Question 22/60
coordinate plane , the line with equation
A.
ZR
B.
C.
AN
YA
D.
E.
Question 23/60
For all nonzero
A.
B.
and
, Which of the following is equal to
.H
C.
, has a
A
When graphed in the standard
slope of ?
D.
MR
E.
12
Mock 3 @ MR. Hany Azra
Question 24/60
The functions
and
are defined as
and
. What is
?
A
A.
B.
ZR
C.
D.
E.
AN
YA
Question 25/60
In the quadrilateral
the distance between
shown below,
and
,
inches , and
is 7 inches .What is the area , in square inches , of quadrilateral
.H
?
140
168
196
336
560
MR
A.
B.
C.
D.
E.
inches ,
13
Mock 3 @ MR. Hany Azra
Question 26/60
coordinate plane below
A.
B.
C.
D.
MR
.H
E.
AN
YA
ZR
A
Which of the following equations determines the ellipse shown in the standard
?
14
Mock 3 @ MR. Hany Azra
Question 27/60
The solution to the equation
is which of the types of numbers listed below ?
A
Rational
Irrational
ZR
Positive
Negative
Integer
and
B.
and
C.
D.
E.
only
AN
YA
A.
only
and
and
only
only
and
only
Question 28/60
The function
is graphed in the standard
coordinate plane below. The domain of
MR
.H
set of all positive real numbers. One of the following graphs is the graph of
A.
B.
C.
D.
E.
15
is the
. Which one is it ?
Mock 3 @ MR. Hany Azra
Question 29/60
The sale price of a jacket is
off the original price. The clearance price of the jacket is
price. The clearance price is what percent off the original price?
A
A.
off the sale
ZR
B.
C.
D.
MR
.H
AN
YA
E.
16
Mock 3 @ MR. Hany Azra
Question 30/60
A
Which of the following augmented matrices represents the system of linear equations below ?
ZR
A.
B.
D.
MR
.H
E.
AN
YA
C.
17
Mock 3 @ MR. Hany Azra
Question 31/60
ZR
A
The dimensions of the rectangle shown below are given in inches. Which of the following expressions gives the
area, in square inches, of the rectangle?
A.
C.
D.
E.
.H
AN
Question 32/60
YA
B.
The population of a particular town is modeled by the equation
,where is the number
of years after January1, 2011. Based on the model, which of the following numbers is closest to the population
of the town on January 1, 2013 ?
A.
B.
C.
D.
E.
132,000
145,000
160,000
264,000
396,000
Question 33/60
MR
What is the median of the list of numbers below ?
6, 3, 5, 7, 12, 9, 5, 5, 11
A.
B.
C.
D.
E.
5
6
7
9
12
18
Mock 3 @ MR. Hany Azra
Question 34/60
Keanu bought a new laptop computer and paid a discount price that was
$752
$806
$848
$860
$986
ZR
A.
B.
C.
D.
E.
of the discount price. What is the total amount Keanu paid for the
A
He also paid tax on the laptop equal to
laptop computer?
AN
YA
Question 35/60
Which of the following equations represents the line in the standard
through
A.
B.
C.
D.
and has a slope of
?
MR
.H
E.
less than the $1,000 list price.
19
coordinate plane that passes
Mock 3 @ MR. Hany Azra
Question 36/60
A.
B.
.H
AN
C.
YA
ZR
A
The base of an escalator in a store is 26 meters long and has a vertical lift of 10 meters as shown below. Which
of the following expressions is closest to the angle of inclination between the base of the escalator and the
horizontal floor?
D.
MR
E.
20
Mock 3 @ MR. Hany Azra
Question 37/60
Each student's project in a history seminar is given a point score by the teacher and by each of the other students
in the seminar. A student's project grade,
, is determined by the formula
, where
is the
is the sum of the
scores the students give, and
is the number of students in the seminar. What is
A.
D.
E.
.H
AN
Question 38/60
YA
B.
C.
If
and
are positive rational numbers such that
6
9
12
18
27
MR
A.
B.
C.
D.
E.
in terms of
and
?
ZR
A
score the teacher gives,
21
, then
?
Mock 3 @ MR. Hany Azra
Question 39/60
AN
YA
ZR
A
A group of students was surveyed about what types of music each had listened to during the previous week.
Students could choose 1, 2, or 3 types of music (Rap, Rock, or Country), or they could respond "none of
these music types." Only 10 students responded with "none of these music types," and 18 students responded
that they had listened to all 3 types. In the figure below, the 8 regions show the numbers of responses in each
category.
One region had exactly 8 responses. What type(s) of music did those 8 students respond they had listened to
during the previous week?
Rap only
Country and Rock only
Country and Rap only
Rap and Rock only
All 3 types of music
.H
A.
B.
C.
D.
E.
Question 40/60
MR
of its value . If the yearly tax is calculated as
Property valued at
is assessed at
of assessed value , what is the yearly tax on this property?
A.
B.
C.
D.
E.
$420
$1,120
$1,260
$1,680
$2,240
22
per
Mock 3 @ MR. Hany Azra
Question 41/60
Given that
, What is
?
A
A.
ZR
B.
C.
E.
AN
YA
D.
Question 42/60
The first 5 terms of a sequence are given in the table below . The sequence is defined by setting
for
62
64
76
78
95
, of this sequence ?
.H
A.
B.
C.
D.
E.
. What is the sixth term ,
MR
Question 43/60
The 3rd and 4th terms of an arithmetic sequence are 13 and 18, respectively. What is the 50th term of the
sequence?
A.
B.
C.
D.
E.
248
250
253
258
263
23
and
Mock 3 @ MR. Hany Azra
Question 44/60
(Note: The determinant of matrix
ZR
A
For what positive real value of k, if any, is the determinant of the matrix
equal to k ?
.)
equals
A.
C.
AN
YA
B.
D.
E. There is no such value of k
Question 45/60
At Acme Manufacturing Company, each employee's annual salary for next year will be
this year's annual salary. An employee whose annual salary this year is
salary next year?
.H
A.
B.
C.
MR
D.
E.
24
more than
will have what annual
Mock 3 @ MR. Hany Azra
Question 46/60
ZR
A.
D.
.H
E.
AN
YA
B.
C.
?
A
Which of the following graphs shows the solution set for the inequality
Question 47/60
The points
lie in the standard
?
MR
midpoint of
and
A.
B.
C.
D.
E.
25
plane . What are the coordinates of the
Mock 3 @ MR. Hany Azra
Question 48/60
shown below, the length of
will give the length , in millimeters , of
is 50 mm . Which of the following equations, when solved,
?
,
.)
.H
AN
YA
ZR
(Note : The law of sines states that given
A
For
A.
MR
B.
C.
D.
E.
26
Mock 3 @ MR. Hany Azra
Question 49/60
The functions
and
and
are defined as
. What is the value of
A
?
A.
ZR
B.
C.
E.
Question
50/60
AN
YA
D.
coordinate plane below. Which function is
it ?
MR
.H
One of the following functions is graphed in the
standard
A.
B.
C.
D.
E.
27
Mock 3 @ MR. Hany Azra
Question 51/60
The solution of the system of equations below is the set of all
. What is the
such that
?
ZR
A
value of
A.
B.
AN
YA
C.
D.
E.
Question 52/60
In the figure shown below,
to
and
lie on
,
and
MR
.H
, and the given lengths are in feet. What is the length of
A.
B.
C.
D.
E.
9
18
21
30
36
28
lie on
,
, in feet ?
and
are parallel
Mock 3 @ MR. Hany Azra
Question 53/60
Which of the following ordered pairs in the standard
inequalities below ?
coordinate plane satisfies the system of
ZR
A
x>2
y>0
x+y < 5
A.
B.
D.
E.
Question 54/60
YA
C.
.H
AN
The scores given below were earned by 10 students on a recent biology test. What is the median score?
71, 94, 86, 77, 88, 94, 88, 80, 78 ,94
A.
B.
C.
D.
E.
85
86
87
88
91
Question 55/60
For all a>0 , which of the following expressions is equal to
A.
MR
B.
C.
D.
E.
29
?
Mock 3 @ MR. Hany Azra
Question 56/60
For all real numbers
such that
,
?
ZR
A
A.
B.
C.
E.
Question 57/60
YA
D.
The perimeter of a parallelogram is 80 inches, and the length of 1 side is 16 inches. If it can be determined, what
are the lengths, in inches, of the other 3 sides?
16, 16, 16
16, 16, 32
16, 24, 24
16, 32, 32
Cannot be determined from the given Information .
MR
.H
AN
A.
B.
C.
D.
E.
30
Mock 3 @ MR. Hany Azra
Question 58/60
.H
AN
YA
ZR
A
An experiment consisted of rolling a 6-sided cube with the digits 1 through 6 on its faces, 1 digit per face. The
cube was rolled 50 times, and after each roll, the number appearing on the top face was recorded. The number of
times each digit was recorded is represented in the bar graph shown below. In what percent of the total number
of rolls did a 5 appear on the top face of the cube?
A.
B.
C.
D.
E.
MR
Question 59/60
A.
B.
D.
E.
C.
31
Mock 3 @ MR. Hany Azra
Question 60/60
coordinate plane, the lines
A.
B.
C.
intersects at
MR
.H
AN
YA
D.
E.
and
ZR
A
When graphed in the standard
what point ?
32