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Academic Support Department ASD Page 1 of 6 BROCHURE MATH PLACEMENT EXAM Semester 1 Academic Year 2020-2021 *For digital version of this file please see the following link: http://www.adpoly.ac.ae/En/Academics/AcademicSupport/PlacementExams/Pages/ExamPolicy.aspx

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Page 1: BROCHURE MATH PLACEMENT EXAM Semester 1 Academic … · Academic Support Department ASD Page 1 of 6 BROCHURE MATH PLACEMENT EXAM Semester 1 Academic Year 2020-2021 *For digital version

Academic Support Department ASD

Page 1 of 6

BROCHURE

MATH PLACEMENT EXAM

Semester 1

Academic Year

2020-2021

*For digital version of this file please see the following link: http://www.adpoly.ac.ae/En/Academics/AcademicSupport/PlacementExams/Pages/ExamPolicy.aspx

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Academic Support Department ASD

Page 2 of 6

What is the Math Placement Exam

After the acceptance of the student to Abu Dhabi Polytechnic (ADPoly), the student will

have the option to test his knowledge of precalculus knowledge by taking the math placement

exam, before the registration of the courses.

The exam will be done online using Blackboard Learning management system together with

another software called “Respondus LockDown Browser”. This is used for recording the

webcam and mic during the exam.

1- When the student registers at registration office of ADPOLY, he will get an ID number

which will also be used as login name and password for the Blackboard platform.

2- As a preparation for the exam and to make the blackboard familiar to the students. See

the following link: https://www.youtube.com/watch?v=L4Niqp4Eg_A

3- Also a practice test will be available as a practice for the real exam on the blackboard

starting from Monday 3rd of August 2020

******************************

Timing of Actual Math Placement Exam

Date: Monday 17th of August 2020

Time: 10 AM-12 PM (On Blackboard)

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Academic Support Department ASD

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General Characteristics of the Exam

• The exam consists entirely of 50 multiple choice questions, each with four choices. The

time allowed is 2 hours to complete the exam.

• The questions are ordered from elementary level to more advanced questions in 3 main

topics: Algebra, Geometry and Trigonometry

Topics Covered in the Exam

• Algebraic operation on numbers

• Approximate numbers and scientific

notations

• Algebraic operations on expressions

and equations

• Concept of a function and various functions properties and their graphs

• Solving linear and quadratic equations using various methods

• Solving logarithmic and exponential equations.

• Measurements of angles, lines, triangles, circles and solid figures

• Concept of trigonometric functions and properties of right triangle

• Signs of the trigonometric functions of any angle

• Radian measure and applications

• Vectors

• Concept of a matrix and Cramer’s rule

• Graphs of trigonometric functions

• The exam is done on the

computer and it has been

built using a multiple-choice

format.

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Academic Support Department ASD

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How to Prepare for The Exam

• Use the following tutorial web pages, will help you make a review of all the above topics:

1. Khan Academy (web site: www.khanacademy.org) 2. Patrickjmt (web site: http://patrickjmt.com/ 3. See Algebra, Arithmetic and Trigonometry in the following

link: http://www.ilectureonline.com/lectures/subject/MATH

• You can also see the following reference books:

1. Washington, A. (2009) Basic Technical Mathematics with

Calculus, Prentice Hall, 9th Edition.

2. Wallace, T. (2010) Beginning and Intermediate Algebra,

http://wallace.ccfaculty.org/book/book.html

3. Sullivan, M. (2015) Precalculus, Prentice Hall, 10th

Edition.

• Check the hardcopy of the sample exam, which is attached to

this document, it will give you an idea about the exam level

and types of questions. Also this test will be available for

testing the Blackboard system and test yourself before the real

exam.

• Use your scientific calculator (Casio FX-991ES Plus, or Similar)

• The pass

score of the

MPE is 70%

• The pass

score

students

accepted

for Higher

Diploma in

Nuclear

Technology

is 80%

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Academic Support Department ASD

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What Happens After the Exam?

Once the exam results are available, the student will be assigned to the proper math course.

If the result of the exam is less than 70, then the student will have to take Precalculus course (MATH-100). If the result is 70 or more, then the Precalculus Course will be waived for the

student, Except for students who register for Higher Diploma in Nuclear

Technology (HDNT), the required result is 80 or more.

• Also see the following table for other ways to waive the precalculus or other courses. See

also: https://www.adpoly.ac.ae/En/Academics/AcademicSupport/PlacementExams/Pages/ExamPolicy.aspx

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Academic Support Department ASD

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Important notes Before the Actual test

• Make sure you are able to log in to Blackboard using on the following link:

https://elearning.adpoly.ac.ae/ using your ID and password well before the time of the test.

• Use the following link on youtube to be familiar with the Blackboard and lockdown browser:

https://www.youtube.com/watch?v=L4Niqp4Eg_A

• The Lockdown browser needed for the exam can be downloaded from:

https://download.respondus.com/lockdown/download.php?id=654746035

• Run the Lockdown browser which will take you to Blackboard. Log in using your ID and

password and go to the MPE course (Left side) and then access the practice test.

• The practice test will be used to make practice of the actual test environment. Notice that

the whole test will be recorded by your computer webcam. Make sure it is working.

• Dress appropriately for the test. Don’t wear headsets or headphones.

• During the test, backtracking is not allowed. Once you continue to the next question, you

will not be able to return to the previous questions

The Actual Test

• A student can take the test once only.

• Follow the same procedures as for the practice test. Run lockdown browser which will take

you to Blackboard. Log in using your ID and password and access the real exam.

• During the test, avoid visual and audio distractions to reduce flags being raised by the

system that could invalidate your test results.

• You must show your ID in camera when asked (ADPOLY Student ID, Emirates ID).

• When asked to show your environment, show your desk with pen, white paper(s), and

scientific calculator. No books, notes, mobiles, or graphing calculator are allowed.

• No password is needed for the test.

• If you have any technical issues, you can contact Blackboard coordinator on this email:

[email protected]

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New Student Information

New students are encouraged to take the math placement exam. Helpful information as well aspractice questions can be found at www.adpoly.ac.ae. If you have transferred from anotheruniversity and have not received articulation information yet, it is wise to take the math placementexam as it may not be offered later in the semester.

You may also choose to take challenge exams prior to the start of your first semester. See the tablebelow for details.

Math Placement & Challenge Exams

EXAM DAY DATE SESSION 1 SESSION 2 COMMENTS

Math Placementexam (MPE)

Monday 17 Aug. 2020 10:00-12:00Onlineusing Blackboard

Passing grade ≥ 70%; EmSAT score ≥ 1500;SAT level 2 ≥ 640;IB Mathematic Studies: score 6

Calculus I Tuesday 18 Aug. 2020 10:00-12:00 Available for those who passed MPE

Calculus II* Tuesday 18 Aug. 2020 1:00-3:00 Available for those who passed Calculus I

Physics I Wednesday 19 Aug. 2020 10:00-12:00 Available for those who passed MPE

Physics II* Wednesday 19 Aug. 2020 1:00-3:00 Available for those who passed Physics I

Chemistry I Thursday 20 Aug. 2020 10:00-12:00 Available for those who passed MPE

Chemistry II* Thursday 20 Aug. 2020 1:00-3:00 Available for those who passed Chemistry I

*Challenge exam timings for Calculus II, Chemistry II, and Physics II can be rearranged based on scores from Calculus I, Chemistry I, and Physics I exams respectively.

Are you an ATHS Graduate?ATHS graduates may have the opportunity tohave certain course articulated based oncourses and grades received at ATHS as well as asuccessfully completed challenge exam in thatsubject. New students need to inquire at theArticulation Office within their first semester ofadmission.

Need more information? Contact Maitha Jassim Bhadri at 02 695 1075, via email ([email protected]) or in the Student Services Office.

Did you take classes at another university?

If you took courses at another university (in theUAE or abroad) and passed with a grade of Cand above, you may be able eligible forarticulation. You must provide the AdmissionsOffice with official transcripts before thesemester starts , so we can begin the process.We will review your transcripts and notify youwithin the first 2 weeks of the semesterwhether your courses can be articulated. Wemay ask you to provide us with a syllabus if wedon’t already have one. If you feel that you haveprior knowledge of a subject, you areencouraged to take that challenge exam (seetable to the right) as they may not be offered ata later date. Articulation must be completedduring the first semester after being admitted toAD Poly. If you have questions, you can contactthe Articulation Coordinator via email([email protected]).

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Placement & Challenge Exams

Semester 1 (2020-2021)New students are encouraged to take the math placement exam. Helpful information as well as practicequestions can be found at www.adpoly.ac.ae. If you have transferred from another university and have notreceived articulation information yet, it is wise to take the math placement exam and any challenge exams onthe dates shown below as they are not offered later in the semester. See the table below for details.

*For more info see the following link:http://www.adpoly.ac.ae/En/Academics/AcademicSupport/PlacementExams/Pages/ExamPolicy.aspx

EXAM DAY DATE SESSION 1 SESSION 2 COMMENTS

Math Placement exam (MPE)

Monday 17 Aug. 2020 10:00-12:00Online using Blackboard

Passing grade ≥ 70%; EmSAT score ≥ 1500;SAT level 2 ≥ 640;IB Mathematic Studies: score 6

Calculus I Tuesday 18 Aug. 2020 10:00-12:00 Available for those who passed MPE

Calculus II* Tuesday 18 Aug. 2020 1:00-3:00 Available for those who passed Calculus I

Physics I Wednesday 19 Aug. 2020 10:00-12:00 Available for those who passed MPE

Physics II* Wednesday 19 Aug. 2020 1:00-3:00 Available for those who passed Physics I

Chemistry I Thursday 20 Aug. 2020 10:00-12:00 Available for those who passed MPE

Chemistry II* Thursday 20 Aug. 2020 1:00-3:00 Available for those who passed Chemistry I

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Math Placement Exam

(August 2020)

Semester 1 2020/2021

Name:ID:_____________________________________________________________________

Identify the specified numbers.1) The rational numbers in the following list:

17, 7, -11, 0, 09

, 9, 0.01

1)

A) 17, -11, 0, 09

, 9 B) 17, -11, 0, 09

C) 09

D) 17, -11, 0, 09

, 9, 0.01

Find the absolute value.2) -9.48 2)

A) ± 9.48 B) 0 C) 9.48 D) -9.48

Find the reciprocal of the number.

3) -38

3)

A) 38

B) 1 C) -83

D) 83

Simplify the expression.4) x - [9x - (x - 6)] 4)

A) -7x - 6 B) -6x + 6 C) -9x - 6 D) -7x + 6

Write the numbers in numerical order, smallest to largest.

5) 34

, - 75

, - 65

, 1, -3 5)

A) -3, - 75

, - 65

, 34

, 1 B) 1, -3, 34

, - 65

, - 75

C) -75

, - 65

, -3, 1, 34

D) -75

, - 65

, -3, 34

, 1

Determine whether the first literal expression is equal to the second literal expression.6) b - a, a - (-b) 6)

A) No B) Yes

1

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Simplify.

7) 3x4

y3

-37)

A) y-9

0.03703704x-12B) y9

3x12

C) 3x9

y-9D) y9

27x12

Solve the problem.

8) The volume of a sphere is 43

r3. Find the volume of a small ball if the diameter is 8.40 mm. 8)

A) 5400 mm3 B) 973 mm3 C) 310 mm3 D) 33.5 mm3

Perform the indicated operations.9) (3x + 7)(x + 7) 9)

A) 3x2 + 27x + 49 B) 3x2 + 28x + 49 C) x2 + 49x + 28 D) x2 + 28x + 27

Solve the equation for the indicated variable.

10) ax

= b for x 10)

A) ab B) ab

C) ba

D) b + a

Solve the formula for the specified variable.

11) I = nEnr + R

for n 11)

A) n = IRE - Ir

B) n = IRIr + E

C) n = -RIr - E

D) n = IR(Ir - E)

12) a + b = s + r for s 12)

A) s =ar

+ b B) s = a + b - r C) s =a + b

rD) s = r(a + b)

13) S = 2 rh + 2 r2 for h 13)

A) h = 2 (S - r) B) h = S2 r

- 1 C) h = S - r D) h = S - 2 r22 r

Solve the equation for the indicated variable.14) 10 - (n + 0.125x) = 4n for x 14)

A) -24 n - 10 B) -80 + 40 n C) 80 - x40

D) -40 n + 80

2

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Solve the formula for the specified variable.15) A = P(1 - nr) for n 15)

A) n =Pr

A - PB) n =

A - PPr

C) n =Ar

D) n =P - A

Pr

16) V = 13

Bh for B 16)

A) B =3hV

B) B =h

3VC) B =

3Vh

D) B =V3h

Solve the problem. Assume all data are accurate to two significant digits unless greater accuracy is given.17) Two pieces of equipment were purchased for a total of $4000. If one piece cost $850 more than the

other, find the price of the less expensive piece of equipment.17)

A) $1575 B) $2400 C) $1600 D) $2425

Solve the problem.18) Find A.

12 in

117°

12 in

18)

A) 26.5° B) 31.5° C) 121.5° D) 63°

Find the missing length in the right triangle.19)

5 cm

12 cm

19)

A) 85 cm B) 170 cm C) 8.5 cm D) 13 cm

Convert to radian measure. Round to two decimal places.20) 121.4° 20)

A) 2.12 B) 2.05 C) 2.04 D) 2.13

3

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Solve the problem.21) Find the shaded area in the figure.

5.51 cm

21)

A) 148 cm2 B) 52.1 cm2

C) 26.1 cm2 D) Not enough information.

Evaluate the function.22) Find f(4) when f(x) = 4x2 - 4x - 7. 22)

A) 55 B) 73 C) 41 D) -7

23) Find g(a + 1) when g(x) = 2x + 3. 23)

A) 12

a + 3 B) 2a + 3 C) 2a - 1 D) 2a + 5

Find the domain and range.24) f(x) = 7 + x 24)

A) Domain: All real numbers; range: y -7B) Domain: All real numbers; range: All real numbersC) Domain: x -7; range: y 0D) Domain: : x 0; range: All real numbers

For the given angle in standard position, find the quadrant in which the terminal side lies.25) 2 rad 25)

A) I B) II C) III D) IV

Find the indicated trig function of , if is an angle in standard position with the terminal side defined by the givenpoint.

26) (5, 3); Find tan . 26)

A) 53

B) 56

C) 12

D) 35

Find the requested function value of .

27) If is an angle between 0 and 2

and sin = 0.8333, find cos . 27)

A) 0.5455 B) 0.5528 C) 0.6633 D) 0.4545

Determine whether or not the ordered pair (2, -4) is a solution of the linear equation.28) -2x + 20y = -84; 28)

A) Yes B) No

Solve the following equations for x and y.29) x + y = 10

x - y = -429)

A) x = 2, y = 8 B) x = 3, y = 7 C) x = -3, y = 8 D) Inconsistent

4

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30) 8x + 6y = -369x + 6y = -45

30)

A) x = -18, y = 12 B) x = 9, y = 6 C) x = -9, y = 6 D) Inconsistent

Evaluate the determinant.31)

3 -1-1 2

31)

A) -5 B) -1 C) 5 D) 7

Find the product.32) (w - 8)2 32)

A) w + 64 B) w2 + 64C) 64w2 - 16w + 64 D) w2 - 16w + 64

33) 7x2 6x - 10y 2 33)A) 252x3 - 840x2y + 700xy2 B) 252x4 - 700x2y2

C) 1764x4 - 5880x3y + 4900x2y2 D) 252x4 - 840x3y + 700x2y2

34) (x - 4 )3 34)A) x3 - 4 x2 + 24 x - 64 B) x3 - 12 x2 + 24 x - 64C) x3 - 12 x2 + 12 x - 64 D) x3 - 12 x2 + 48 x - 64

Factor completely.35) m2 - 4m - 12 35)

A) (m - 6)(m + 2) B) (m + 6)(m - 2) C) (6 - m)(2 - m) D) (6 - m)(m - 2)

36) Multiply 5x + 1

by (x - 5) 36)

A) 5x - 25x2 - 4x - 5

B) 5x - 25x2 - 4x + 5

C) 5x - 25x + 1

D) 5x - 5x2 - 4x - 5

Reduce the fraction to simplest form.

37) y2 - 4 y - 21y2 + 11 y + 24

37)

A) -4 y - 711 y + 8

B) -4 y - 2111 y + 24

C) y - 7y + 8

D) -y2 - 4 y - 21y2 + 11 y + 24

5

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Multiply and simplify.

38) 7x26

· 48x3

38)

A) x5 41

B) 56x

C) 56x2

x3D) x

41

Divide and simplify.

39) 5x - 15x

÷x - 3x3

39)

A) 5x2 B) 5x2 - 30x + 45x4

C) 15x2

D) 5x2 + 5x

Perform the indicated operation and simplify.

40) 23x

+89x

40)

A) 1418x

B) 1 C) 914x

D) 149x

Solve.41) x2 + x + 3 = 0 41)

A) 1 ± 112

B) -1 ± -112

C) 1 ± -112

D) -1 ± 112

Find the vertex of the parabola.42) y = x2 - 10x 42)

A) (5, -25) B) (5, 25) C) (-5, 25) D) (5, 0)

Express the trigonometric function in terms of the same function of a positive acute angle.43) cos 209° 43)

A) cos 29° B) -cos 29° C) cos 74° D) -cos 74°

Find for 0° < 360°.44) sin = -0.8808 44)

A) 298.26°, 241.74° B) 151.74°, 421.74° C) 298.26°, 118.26° D) -45.99°, 241.74°

45) csc = 3.691 45)A) 74.28°, 285.72° B) 15.72°, 164.28° C) 15.72°, 344.28° D) 74.84°, 254.84°

Find for 0° < 360° that satisfies the stated conditions. Round your answer to the nearest hundredth.46) tan = -3.25, sin < 0 46)

A) 287.10° B) 332.10° C) 242.10° D) 285.72°

6

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Find the horizontal and vertical components of the vector shown in the given figure.47) The magnitude of the vector is 171. 47)

A) -157.3, 66.7 B) 157.3, -66.7 C) -66.7, 157.3 D) 66.7, -157.3

Find the amplitude, period or displacement.

48) Find the period of y = -5 sin 4x +2

. 48)

A)2

B) C) 5 D) 4

Solve the equation.49) ln (5x - 3) = ln 9 - ln (x - 3) 49)

A) 18/5 B) C) 3, 3/5 D) 0, 18/5

Solve.50) 5(9 - 3x) = 125 50)

A) 3 B) -2 C) 25 D) 2

7

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Answer Key

Testname: MATH_PLACEMENT_EXAM_AUGUST_2018_2019

1) D2) C3) C4) A5) A6) A7) D8) D9) B

10) B11) A12) B13) D14) D15) D16) C17) A18) B19) D20) A21) B22) C23) D24) C25) B26) D27) B28) A29) B30) C31) C32) D33) D34) D35) A36) A37) C38) B39) A40) D41) B42) A43) B44) A45) B46) A47) C48) A49) A50) D

8