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BMS411S - BASIC MATHEMATICS - 1ST OPP - NOVEMBER 2023 |
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nAml BIA un IVERSITY
OF SCIEnCE AnDTECHnOLOGY
FacultyofHealthN, atural
ResourceasndApplied
Sciences
Schoolof NaturalandApplied
Sciences
Departmentof Mathematics.
Statisticsand ActuarialScience
13JacksonKaujeuaStreet
PrivateBag13388
Windhoek
NAMIBIA
T: +264612072913
E: msas@nust.na
W: www.nust.na
QUALIFICATION VARIOUS
QUALIFICATION CODE: VARIOUS
COURSE:BASIC MATHEMATICS
DATE: NOVEMBER 2023
DURATION: 3 HOURS
LEVEL:4
COURSECODE: BMS411S
SESSION: 1
MARKS: 100
FIRST OPPORTUNITY: QUESTION PAPER
EXAMINER:
ORJOSUA MWANYEKANGE, MR JONAS AMUNYELA, MR SIMON KASHIHALWA AND
MS PONHOYOMWENE NGHISHIDIVALI
MODERATOR:
MR GABRIEL MBOKOMA
INSTRUCTIONS:
1. Answer all questions on the separate answer sheet.
2. Please write neatly and legibly.
3. Do not use the left side margin of the exam paper. This must be allowed for the
examiner.
4. No books, notes and other additional aids are allowed.
5. Mark all answers clearly with their respective question numbers.
6. 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.
7. For QUESTION 2 and 3 show clearly all the steps used in the calculations.
8. All written work must be done in blue or black ink and sketches must be done in
pencil.
PERMISSIBLE MATERIALS:
1. Non-Programmable Calculator
This paper consists of 5 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
=~!), If A= [
which of the following statements is false?
(3)
A. IAl=-2B.A2 =[49) C. Al=A
4 16
1.2 The HCF of 128, 216, and 240 is
(3)
A. 12
B. 8
1.3 Evaluate the following:
C. 16
D. 6
1.3.1
(3)
A. 5184
B. 12
C. 3
D. 8.48
1.3.2 [727 2(-2-4)-4] + (-25) 7-(3-8)
(3)
A. -225
B. -15
C. -216
D. -7
--
given that x = -1 and y = -1 correct to I significant figure
(3)
zy
2
S
1.3.3
A. 0.6
8. I
C. 0.2
D. 0.4
1.4 A copy machine can duplicate 2400 copies in one hour. How many copies can it
make per minute (in 1 minute)?
A. 40 copies
B. 60 copies
C. 240 copies
D. 10 copies (3)
1.5
(3)
B . -4a ~b6C-12
9
C . -a] 4b6C -P -
36
1.6 Expand and simplify 4ab 2 + (2ab-b )2
D. -4a 4b6
9
(3)
1.7 Which of the following statements is false?
A. (-3) 4 = 81
8. 3-2 = -9
(3)
D. -n--:-:;-= ns
Basic Mathematics (BMS411S)
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1.8 Julia went shopping and spent half of her money on food, a third on her rent, and a
tenth to pay her telephone bill. If she remained with N$200, how much did she had in
the beginning?
(3)
A. N$1120 B. N$3000 C. N$1200 D. N$3200
QUESTION 2(12 marks)
The answers to this question should be written in the answer booklet/sheet provided.
Ensure that all your calculations are shown neatly, systematically and legibly
2. I In a certain city, the local taxes collected in a month amounted to N$ l.25 million. If
the population of the city is 2 x 104 , how much on average did
each citizen of the city
pay in taxes?
(3)
2.2 Solve the following linear equations:
2.2.1 (x - 2) 2 = (x + 2) 2 - 112
(3)
2.2.2
-4x+
3
1 = 3x
(3)
2.2.3 3x- 2 = -Sx + 8
(3)
QUESTION 3 (58 marks)
The answers to this question should be written in the answer booklet/sheet provided.
Ensure that all your calculations are shown neatly, systematically and legibly.
3.1 Evaluate the following without using a calculator
3.1.1
-3 2 + 2[20-;-
(7 -
11)]
X
5
+
2
273
(5)
3.1.2 -1 [(2 X 3 + 5 X 4) - (3 X 2 - 2 X 4)]
(4)
4
3.1.3
(6)
3.2 A farmer buys bags of animal feed at Agra to feed his 24 goats. He expects this amount
of feed to last 8 days. When he gets to the farm he discovers that the number of goats
has reduced to 16 due to deaths from drought. How long will the feed last?
( 4)
3.3 Consider the following matrices:
-41)and B = (l4
Find:
3.3. l Matrix 3A-B
(8)
3.3.2 Determinant of matrix 2A
(3)
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3.4 Determine the values of the variables in the following:
[:k b)+k 3
[3O -21) = [8-6
6c)
-1
(6)
3.5 Given the following sets:
S ={l, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16}
A= {x : x is a multi pie of 3}
B= {x: xis a factor of24}
C= {x: xis an odd number}
3.5.1 Find
3.5.1.1 n(B)
(2)
2.5.1.2 (AUBUC)C
(2)
3.6 Consider the Venn diagram below illustrating the marital status of female staff in an
S = 1200
Married
390
x-10
organisation:
3 .6.1 What is the value of x?
(4)
3.6.2 How many female staff are there in this organisation?
(2)
3 .6.3 How many of the female staff are married?
(2)
3.6.4 How many of the female staff are single?
(2)
3.7 Mr Simon has received his gratuity ofN$50 COOand has decided to invest it with the
bank for five years in an investment account that pays interest @ 12.75% p.a. He has
been given two options:
Option A: Investment at simple interest.
(8)
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Option B: Investment with interest compounded quarterly.
By showing full calculations, determine which interest option is better for
Mr Simon.
___________
END OF EXAMINATION _________
_
Basic Mathematics (BMS411S)
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