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Academic Support Department ASD Page 1 of 4 BROCHURE MATH PLACEMENT EXAM *For digital version of this file please see the following limk: http://www.adpoly.ac.ae/En/Academics/AcademicSupport/PlacementExams/Pages/ExamPolicy.aspx
Transcript

Academic Support Department ASD

Page 1 of 4

BROCHURE

MATH PLACEMENT EXAM

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

Academic Support Department ASD

Page 2 of 4

What is the Math Placement Exam

After the acceptance of the student to Abu Dhabi Polytechnic (ADPoly), he/she has to take

the math placement exam, before the registration of the courses. The Academic support

department at ADPoly uses the result of the exam, to check the math skill

Timing of the Exam

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

Date: Monday 19th of August 2019

Time: 10 AM – 12 PM 1 PM – 3 PM

Place: Abu Dhabi Campus: Mohammad Bin Zayed City, Abu Dhabi Polytechnic, 2nd Floor Al Ain Campus: Abu Dhabi Polytechnic, Al Ain, Airport Area

The exam is done on the

computer and it has been

built using a multiple-choice

format.

Academic Support Department ASD

Page 3 of 4

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

How to Prepare For The Exam

Use the following tutorial web pages, which might help you make a review of all the

above topics:

Khan Academy (web site: www.khanacademy.org)

Patrickjmt (web site: http://patrickjmt.com/)

You will save at least one

semester of taking math

by taking the time to do a

careful review of the

placement math exam.

Academic Support Department ASD

Page 4 of 4

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.

Bring your scientific calculator (Casio FX-991ES Plus, or Similar) and

pen.

What Happens After I Take 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, and he/she can go for the challenge exam for Calculus 1 (MATH-111).

Except for students who register for Higher Diploma in Nuclear Technology

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

The pass score of the MPE is 70%

The pass score of the MPE is 80%

FOR Students accepted for Higher

Diploma in Nuclear Technology

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

*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 the first two weeks ofsemester of admission.

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 internationally) and passed with a gradeof C and above, you may be able eligible to havecourses waived. You must provide theAdmissions Office with official transcriptsbefore the semester starts , so we can begin theprocess. We will review your transcripts and thesyllabi from the courses that you previouslycompleted and notify you within the first 2weeks of the semester if anything can bearticulated. If you feel that you have priorknowledge of a subject, you are encouraged totake a challenge exam (see table to the right)before the semester begins. Articulation mustbe completed during the first semester afterbeing admitted to AD Poly. If you havequestions, you can contact the ArticulationCoordinator at 02 695 1050 or via email([email protected]).

EXAM DAY DATE SESSION 1 SESSION 2 COMMENTS

• Math Placement exam (MPE)

Monday 19 Aug 2019 10:00-12:00 1:00-3:00 • Passing grade ≥70%• For students who register for

higher diploma in Nuclear Technology, the passing grade is ≥80%

Calculus I Tuesday 20 Aug 2019 10:00-12:00 Available for those who passed MPE or transferred students

Chemistry I Tuesday 20 Aug 2019 1:00-3:00 Available for those who passed MPE or transferred students

Physics I Tuesday 20 Aug 2019 10:00-12:00 Available for those who passed MPE or transferred students

Physics II* Wednesday 21 Aug 2019 1:00-3:00 Available for those who passed Physics I or transferred students

Chemistry II* Wednesday 21 Aug 2019 10:00-12:00 Available for those who passed Chemistry I or transferred students

Calculus II* Wednesday 21 Aug 2019 1:00-3:00 Available for those who passed Calculus I or transferred students

Placement & Challenge Exams

Semester 1 (2019-2020)

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 19 Aug 2019

10:00-12:00 1:00-3:00 • Passing grade ≥70%• For students who register for

higher diploma in Nuclear Technology, the passing grade is ≥80%

Calculus I Tuesday 20 Aug 2019

10:00-12:00 Available for those who passed MPE or transferred students

Chemistry I Tuesday 20 Aug 2019

1:00-3:00 Available for those who passed MPE or transferred students

Physics I Tuesday 20 Aug 2019

10:00-12:00 Available for those who passed MPE or transferred students

Physics II* Wednesday 21 Aug 2019

1:00-3:00 Available for those who passed Physics I or transferred students

Chemistry II* Wednesday 21 Aug 2019

10:00-12:00 Available for those who passed Chemistry I or transferred students

Calculus II* Wednesday 21 Aug 2019

1:00-3:00 Available for those who passed Calculus I or transferred students

Sample Math Placement Exam

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

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

11, 7, -24, 0, 08

, 16, 0.68

1)

A) 11, -24, 0, 08

, 16 B) 11, -24, 0, 08

C) 08

D) 11, -24, 0, 08

, 16, 0.68

Find the absolute value.2) -0.73 2)

A) ± 0.73 B) 0 C) 0.73 D) -0.73

Find the reciprocal of the number.

3) -65

3)

A) 65

B) 1 C) -56

D) 56

Write the numbers in numerical order, smallest to largest.

4) 34

, - 65

, - 55

, 2, -2 4)

A) -2, - 65

, - 55

, 34

, 2 B) 2, -2, 34

, - 55

, - 65

C) -65

, - 55

, -2, 2, 34

D) -65

, - 55

, -2, 34

, 2

Find the value of the expression.5) 7 + 13 × 5 - (-7) 5)

A) 93 B) 32 C) 79 D) 107

Simplify the expression. Use positive exponents. Assume variables represent nonnegative numbers.

6) 32y

36)

A) 27y38

B) 272y3

C) 278y3

D) 278y

Solve the problem.

7) The volume of a sphere is 43

r3. Find the volume of a small ball if the diameter is 2.00 mm. 7)

A) 73 mm3 B) 13.1 mm3 C) 4.2 mm3 D) 4.19 mm3

1

Perform the indicated operations.8) (4x - 7)(x - 6) 8)

A) 4x2 - 32x + 42 B) 4x2 - 31x + 42 C) x2 + 42x - 31 D) x2 - 31x - 32

Solve the equation for the indicated variable.

9) ax

= b for x 9)

A) ab B) ab

C) ba

D) b + a

Solve the formula for the specified variable.

10) I = nEnr + R

for n 10)

A) n = IRE - Ir

B) n = IRIr + E

C) n = -RIr - E

D) n = IR(Ir - E)

11) a + b = s + r for r 11)

A) r =as

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

sD) r = s(a + b)

12) V = 13

Bh for h 12)

A) h =3BV

B) h =B

3VC) h =

3VB

D) h =V3B

Solve the problem.13) Find A.

9 in

138°

9 in

13)

A) 16° B) 21° C) 111° D) 42°

Find the missing length in the right triangle.14)

12 cm

15 cm

14)

A) 190 cm B) 370 cm C) 14 cm D) 19 cm

2

Convert to radian measure. Round to two decimal places.15) 163.9° 15)

A) 2.86 B) 2.76 C) 2.75 D) 2.87

Solve the problem.16) Find the shaded area in the figure.

4.61 cm

16)

A) 103 cm2 B) 36.5 cm2

C) 18.2 cm2 D) Not enough information.

Evaluate the function.17) Find f(-4) when f(x) = 4x2 + 4x + 1. 17)

A) 47 B) 81 C) 49 D) 1

18) Find g(a - 1) when g(x) = 2x + 4. 18)

A) 12

a + 4 B) 2a + 4 C) 2a + 1 D) 2a + 2

Find the domain and range.19) f(x) = 5 + x 19)

A) Domain: All real numbers; range: y -5B) Domain: All real numbers; range: All real numbersC) Domain: x -5; range: y 0D) Domain: : x 0; range: All real numbers

For the given angle in standard position, designate the quadrant in which the terminal side lies.20) 5 rad 20)

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

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

21) (7, 4); Find tan . 21)

A) 74

B) 78

C) 12

D) 47

Find the requested function value of .22) If sin = 0.5455, find cos . 22)

A) 0.1294 B) 0.8381 C) 1.537 D) 0.07059

Determine whether or not the ordered pair is a solution of the linear equation.23) -6x + 16y = 2; (-3, -1) 23)

A) Yes B) No

3

Solve by the method of elimination by substitution.24) x + y = 4

x - y = -1424)

A) x = -6, y = 10 B) x = -5, y = 9 C) x = 5, y = 10 D) Inconsistent

25) 9x + 2y = -688x + 3y = -58

25)

A) x = -16, y = 4 B) x = 8, y = 2 C) x = -8, y = 2 D) Inconsistent

Evaluate the determinant.26)

3 -12 3

26)

A) -11 B) -9 C) 11 D) 7

27)5 5 46 1 22 1 1

27)

A) 97 B) -1 C) -39 D) 1

Find the product.28) (w - 6)2 28)

A) w + 36 B) w2 + 36C) 36w2 - 12w + 36 D) w2 - 12w + 36

29) 7x2 9x - 5y 2 29)A) 567x3 - 630x2y + 175xy2 B) 567x4 - 175x2y2

C) 3969x4 - 4410x3y + 1225x2y2 D) 567x4 - 630x3y + 175x2y2

30) (x - 2 )3 30)A) x3 - 2 x2 + 8 x - 8 B) x3 - 6 x2 + 8 x - 8C) x3 - 6 x2 + 6 x - 8 D) x3 - 6 x2 + 12 x - 8

Factor completely.31) m2 - 6m - 40 31)

A) (m - 10)(m + 4) B) (m + 10)(m - 4) C) (10 - m)(4 - m) D) (10 - m)(m - 4)

Multiply or divide (as specified) the numerator and denominator by the given factor to obtain an equivalent fraction.

32) 3x + 2

(multiply by x - 4) 32)

A) 3x - 12x2 - 2x - 8

B) 3x - 12x2 - 2x + 8

C) 3x - 12x + 2

D) 3x - 4x2 - 2x - 8

4

Reduce the fraction to simplest form.

33) y2 - 5 y - 24y2 + 12 y + 27

33)

A) -5 y - 812 y + 9

B) -5 y - 2412 y + 27

C) y - 8y + 9

D) -y2 - 5 y - 24y2 + 12 y + 27

Multiply and simplify.

34) 2x25

· 35x3

34)

A) x5 87

B) 14x

C) 14x2

x3D) x

87

Divide and simplify.

35) 5x - 15x

÷x - 3x3

35)

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

C) 15x2

D) 5x2 + 5x

Perform the indicated operation and simplify.

36) 13x

+29x

36)

A) 518x

B) 1 C) 95x

D) 59x

Solve.37) x2 + x + 8 = 0 37)

A) 1 ± 312

B) -1 ± -312

C) 1 ± -312

D) -1 ± 312

Find the vertex of the parabola.38) y = x2 + 10x 38)

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

Determine the sign of the trigonometric function.39) sin 263° 39)

A) Positive B) Negative

Express the trigonometric function in terms of the same function of a positive acute angle.40) cos 195° 40)

A) cos 15° B) -cos 15° C) cos 60° D) -cos 60°

5

Find for 0° < 360°.41) sin = -0.7659 41)

A) 310.01°, 229.99° B) 139.99°, 409.99° C) 310.01°, 130.01° D) -48.99°, 229.99°

42) csc = 1.302 42)A) 39.82°, 320.18° B) 50.18°, 129.82° C) 50.18°, 309.82° D) 52.47°, 232.47°

Find for 0° < 360° that satisfies the stated conditions. Round your answer to the nearest hundredth.43) tan = -1.65, sin < 0 43)

A) 301.22° B) 346.22° C) 256.22° D) 299.84°

Find the horizontal and vertical components of the vector shown in the given figure.44) The magnitude of the vector is 100. 44)

A) -92, 39 B) 92, -39 C) -39, 92 D) 39, -92

Solve the equation for the indicated variable.

45) w = - C 1V2

-1

V1for V2 (work) 45)

A) V2 = CV1

wV1 - CB) V2 = V1 -

Cw

C) V2 = CV1

C - wV1D) V2 =

CV1wV1 + C

Find the amplitude, period or displacement.

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

. 46)

A)2

B) C) 5 D) 4

Solve for the specified variable.

47) S = a1 - r

for r 47)

A) r = S - aS

B) r = aS

C) r = aS

- 1 D) r = S - a

Solve the equation.

48) 2t

=t

4t - 648)

A) 0, 32

B) 0, 36 C) 2, 6 D) No solution

6

49) ln (3x - 1) = ln 1 - ln (x - 1) 49)A) 4/3 B) C) 1, 1/3 D) 0, 4/3

50) x3

-x7

= 6 50)

A) 21 B) 632

C) 18 D) 42

7

Answer KeyTestname: SAMPLE_PLACEMENT_TEST

1) D2) C3) C4) A5) C6) C7) D8) B9) B

10) A11) B12) C13) B14) D15) A16) B17) C18) D19) C20) B21) D22) B23) A24) B25) C26) C27) D28) D29) D30) D31) A32) A33) C34) B35) A36) D37) B38) A39) B40) B41) A42) B43) A44) C45) C46) A47) A48) C49) A50) B

8


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