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ITM111S - INTRODUCTION TO MATHEMATICS - 2ND OPP - JULY 2022 |
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NAMIBIA UNIVERSITY
OF SCIENCE AND TECHNOLOGY
FACULTY OF HEALTH, APPLIED SCIENCES AND NATURAL RESOURCES
DEPARTMENT OF MATHEMATICS AND STATISTICS
QUALIFICATION: Bachelor of Technology: Geo-Information Technology, Bachelor of Human Resources
Management, Bachelor of Marketing, Bachelor of Transport Management, Bachelor of Business
Administration, Bachelor of Agricultural Management, Bachelor of Horticulture
QUALIFICATION CODE:
.
07BGIT,O7BHRM,O7BMAR,07BBAD,27BAGR,07BTRM,O7BHOR NQF LEVEL: 5
COURSE NAME: INTRODUCTION TO MATHEMATICS
(BUSINESS AND MANAGEMENT)
COURSE CODE: ITM111S
DATE: JULY 2022
DURATION: 3HOURS
PAPER :THEORY
MARKS: 100
SECOND
EXAMINER
OPPORTUNITY/SUPPLEMENTARY EXAMINATION QUESTION PAPER
Ms A. SAKARIA, Ms K. DAVID, Ms P. NGHISHIDIVALI, Mr N. MAFALE, Mr I. NDADI,
Dr J. MWANYEKANGE
MODERATOR:
Mr G. TAPEDZESA
INSTRUCTIONS
1. Answer ALL the questions in the answer sheet.
QUESTION 1 of this question paper entail multiple choice questions
with options A to D. Write down the letter corresponding to the best
option for each question.
3. For QUESTION 2 indicate whether the given mathematical statements
are true (T) or false (F).
4. QUESTION 3 show clearly all the steps used in the calculations.
PERMISSIBLE MATERIALS
1. Non-programmable calculator without a cover.
THIS QUESTION PAPER CONSISTS OF 4 PAGES (Including this front page)
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QUESTION 1 [30 MARKS]
Write down the letter corresponding to the best option for each question in the answer
booklet/sheet provided.
1.1 Evaluate: 63-(-3)(-2-8-4)+|3(5+(-2)(-1))].
(3]
A. 65
B. 60
C. —60
D. 61
1.2 Express 8% as a fraction.
[3]
a, 28
B. =
7
50
c, 22
p.
350
58
1.3 Find the Lowest Common Multiple (LCM) of the numbers 15,25,40 and 75.
[3]
A. 900
B. 400
C. 600
D. 9800
1.4 Si. mplifae y G4(1) 2 1 .
[3]
A. —1
B. 2
c. J2
2
1.5 Given vector 4 = (-2 9) ,find 2A.
D. —1
16
[3]
A. (-4 -9)
B.(4 18)
Cc. (-4 18)
D.(-18 -4)
1.6 The roots of the quadratic equation x” -3x+2 =O are:
A. 1,-2
B. —1,-2
C. -1,2
[3]
D. 1,2
1.7 Express the statement “5S more than the product of 3 and anumber” in terms if x. [3]
A. 5x-3
B. 3x+5
C. 3-5x
D. 3x(5)
1.8 Factorize the expression 2ab? —abd —2bc+cd
A. (2b—d)(ab—-c)
B. (ab—c)(ab—c)
C. (2b-d)(ab+c)
[3]
D.(2b+d)(ab-c)
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1.9 If P={0,1,2.3,4}, O={4,6,8} and R= {6,12,18}, find (PAQ)U(ONR).
[3]
A. {1,2,3,4, 6, 8}
B. {4, 6,8}
C. {4,6}
D. {4}
5
1.10 Determine the sum of the series > (1 +n) .
n=]
A. 6
B. 17
C. 20
QUESTION 2 [10 MARKS]
Indicate whether the given mathematical statements are true (T) or false (F)
2.1 The number 0.51x10~ is in standard form.
[2]
2.2 The expression (x+2) simplifies to x°+2°.
2.3 log, 4= logo4
[2]
log, 5
2.4 The discriminant of the equation 2x” —4x+9 =0 is negative.
[2]
2.5 If Aand B are both 2x3 matrices then, we can calculate 4B.
QUESTION 3 [60 MARKS] (Clearly show all your work)
3.1 Let S = {1,2,3,4,5,6,7,8,9,10,11,12}, 4={1,3,5,6,7}, B= {1,5,C 8= ,{2,94,}5,6,,9}
Find:
3.1.1 A°UB
[4]
3.1.2 (BSUC)OA
[6]
3.2
Let 4= 24
35 and B= 31
oOl be two matrices.
3.2.1 Determine the matrix 47.
[4]
3.2.2. Find A->B
[6]
3.2.3. Find (AB)"
[6]
3.3
Find the values of the letters, x, y,r and t if:
Qe
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Gr 2-3 a= 2)
8]
3.4
If x+2;3x—1; and 4x —3 are the first three terms of an arithmetic progression(AP):
3.4.1 Determine the value of x.
[4]
3.4.2 Write numerical values of the first three terms.
[3]
3.4.3 If the nth term is -41, calculate the value of n.
[4]
3.5
Of the students in class, 15 can spell the word ‘Parallel’ (Pa), 14 can spell
‘Pythagoras’ (Py), 5 can spell both words and 4 can spell neither.
3.5.1 Draw a Venn diagram to show the information above.
[5]
3.5.2 How many students are there in the class?
[2]
3.5.3 How many students can spell Parallel or Pythagoras?
[2]
3.5.4 How many students can spell exactly one of the two words?
[2]
3.6
Calculate the maturity value of an investment of N$680000 due in 7 years when
the annual simple interest rate is 9.5 %.
[4]
END OF EXAMINATION QUESTION PAPER
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