 |
ITM111S - INTRODUCTION TO MATHEMATICS - 1ST OPP - JUNE 2022 |
|
|
1 Page 1 |
▲back to top |
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 NOPIENER =
COURSE NAME: INTRODUCTION TO MATHEMATICS
(BUSINESS AND MANAGEMENT)
COURSE CODE: ITM111S
DATE: JUNE 2022
DURATION: 3 HOURS
PAPER :THEORY
MARKS: 100
EXAMINER
FIRST OPPORTUNITY EXAMINATION QUESTION PAPER
Ms A. SAKARIA, Ms K. DAVID, Ms P. NGHISHIDIVALI, Mr N. MAFALE, Mr. NDADI,
DrJ. 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)
~1~
|
|
2 Page 2 |
▲back to top |
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: 1} —2(2+3)20
2
2
[3]
a. >
B. -10
Cc. —50
p, 18
5
1.2 Find the Lowest Common Multiple (LCM) of the numbers 42,28 and 14.
A. 42
B. 84
C.7
[3]
D. 16464
3
1.3 Simplify t3s1,6 ;
ab}
A. ad2b44
B. 32p5
C. a2abi5
[3]
D. a2sbl®
1.4 What statement does the shaded region represent?
[3]
A. Aand B and C
B. Aor C
C. B and C
D. AoB r andC
1.5 The roots of the quadratic equation are 2 and 3. What is the quadratic equation? [3]
A. x7 +5x+6=0
B. x? +5x-6=0
C. x?-5x-6=0
D. x*—-5x+6=0
1.6 What is the value of x given that (9*)3 =3* ?
A.9
B.8
C.15
[3]
D. 3
1.7 Express the statement “nine more than three times a number” in terms of h.
[3]
A. 3h-9
B. 3(h-9)
C. 3(h+9)
D. 3h+9
~2~
|
|
3 Page 3 |
▲back to top |
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)
1.9 If A={1,3,5,7,9} and B= {2,3,5,7}, whatis An B?
A. {3,5,7}
B. {2,3,5,7}
C. {2,3,5,7,9}
[3]
D. {1,2,3,5,7,9}
5
1.10 Determine the sum of the series >" (2n+3) .
n=]
A. 45
B. 90
C. 49
[3]
D. 47
QUESTION 2 [10 MARKS]
Indicate whether the given mathematical statements are true (T) or false (F)
2.1 The number 13.7x10° is in standard form.
[2]
2.2 The expression (x—2)(x+2) simplifies to x7 —-4x-4.
2.3 (loga)(logd) is equal to log(a+b) .
[2]
2.4 The discriminant of the equation 2x” —4x+9 = 0 is negative.
[2]
2.5 If Aisa 2x3 matrix and Bis a 3x2 matrix, then we can calculate 4B.
[2]
QUESTION 3 [60 MARKS] (Clearly show all your work)
3.1
Tulonga is 8 years older than Tuma, who is 11 years older than Uveni. If their
combined age is 60 years, find the age of each person.
[6]
3.2 Expand and simplify the expression, 4x(x+ y) —4(x—-y)’ .
[5]
3.3
Simplify the expressioo n, ax? d-5x-1a4)_
[4]
3.4
Find the value of the letters a,b,c and d given that:
[8]
Cae a) 12) = (Ze 2a)
35 Let A= ( 6 ) and B = (-
). Find:
3.5.1 AB
[4]
|
|
4 Page 4 |
▲back to top |
3.5.2 ly
2
[4]
3.6
“3 Find the value of k if the determinant of matrix (2 ~36) So.
[4]
3.7 John wants to buy a car in 10 years’ time. He wants to have N$140000 at the time
of purchase. How much should he invest now in a savings account that pays simple
interest ata rate of 6 %?
[5]
3.8 Find the sum of the series 3+5+7+...+119.
[8]
3.9 An AP is given by k,4k,7k,... If the 20" term is equal to 16, find the value of k. [5]
3.10 All of 99 different pills contain at least one of the vitamins A and B.
Forty have vitamin A only, 2x—1 have vitamin B only, and x have all two vitamins.
Present the information in a Venn diagram and solve for x.
[7]
END OF EXAMINATION QUESTION PAPER
~4r