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BMS411S - BASIC MATHEMATICS - 2ND OPP - JAN 2023 |
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nAm I BIA un IVERSITY
OF SCIEn CE Ano TECHn OLOGY
FACULTYOF HEALTH, NATURAL RESOURCESAND APPLIEDSCIENCES
DEPARTMENT OF MATHEMATICS AND STATISTICS
QUALIFICATION: Bachelor of Regional and Rural Development, Bachelor of Communication,
Bachelor of Technology Public Management, Bachelor of Supply Chain Management, Bachelor of
Office Management and Technology, Bachelor of Natural Resources Management, Bachelor of
emergency Medical Care, Diploma in Vocational and Training, Bachelor of Tourism management,
and Bachelor of Hospitality Management
QUALIFICATION CODE:
07BRRD, 25BACO, 07BLSM, 07BOMT, 07BNTC, 24BPMN, 07BRCMC
NQF LEVEL: 4
COURSE NAME: BASICMATHEMATICS
COURSE CODE: BMS411S
SESSION: JANUARY 2023
PAPER :THEORY
DURATION: 3 Hours
MARKS: 100
SUPPLEMENTARY/SECOND OPPORTUNITY EXAMINATION QUESTION PAPER
EXAMINER:
DR.J MWANYEKANGE,MR. J AMUNYELA and MS. P NGHISHIDIVALI
MODERATOR:
MR G. MBOKOMA
INSTRUCTIONS
1. Answer ALL the questions in the booklet provided.
2. Show clearly all the steps used in the calculations.
3. All written work must be done in blue or black ink and sketches must
be done in pencil.
PERMISSIBLEMATERIALS
1. Non-programmable calculator without a cover.
THIS QUESTION PAPER CONSISTS OF 5 PAGES (Including this front page)
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QUESTION1(30 marks)
Write down the letter corresponding to the best option for each question in the
answer booklet/sheet provided.
-2 3) · 1.1 If A=
, which of the following statements is false?
(-2 4
(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 [72 + 2(-2-4)-4] + (-25) +-(3-8)
(3)
A. -225
B. -15
C. -216
D. -7
= = 3 xo.osy3 given that x
xy
and y
2
correct to 1 significant figure
5
1.3.3
(3)
A. 0.6
B. 1
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)
C. -a1 4b6 C-12
36
1.6 Expand and simplify 4ab 2 + (2ab -b )2
(3)
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1.7 Which of the following statements is false?
(3)
A. (-3) 4 = 81
n6
s
D. -n=i"=n
1.8 Melissa 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
QUESTION2(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
2.1 In a certain city, the local taxes collected in a month amounted to N$1.25
million. If the population of the city is 2 x I04 , 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+ 1 = 3x
(3)
3
2.2.3 3x - 2 = -Sx + 8
(3)
QUESTION3(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 NTN has 20%of its employees in the software department, 50%in
administration and 12.5%in marketing. The rest of the employees,
amounting to 203 employees are in the Research department.
Calculate the:
3.1.1 Total number of employees in NTN
(5)
3. 1.2 Number of employees in each department
(6)
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3.2 The airfare for a one-way ticket to Ondangwa from Windhoek - Eros airport
varies each day according to demand. The following table shows the how
the airfare varies in a particular week:
DAY
Airfare
Price of ticket
Monday
N$1030
N$1030
Tuesday
25%more than Monday price
Wednesday
10%less than Tuesday price
Thursday
25%less than Wednesday price
Friday
20%more than Thursday price
Saturday
Same as Friday price
3.2.1 Copy and complete the above table
(10)
3.2.2 Determine the day on which the airfare was the most expensive
(1)
3.3 Consider the following matrices:
A=(~
-1)
4
and B = (4l
!2)
Find:
3.3.1 Matrix 3A-B
(8)
3.3.2 Determinant of matrix 2A
(3)
3.4 Determine the values of the variables in the following:
(:k: ) +k( -~)=(~6-61 c)
(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: xis a multiple of 3}
B = {x :x is a factor of 24}
C = {x: xis an odd number}
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3.5.1 Find
3.5.1.1 n(B)
(2)
2.5.1.2 (AuBuC)c
(2)
3.6 The department of Social welfare at a university carried out a survey on a
random sample of students to find out how many of the students took alcohol
over the past two weeks. Of the 615 student interviewed, there were 520
male, and 485 of the sampled students took alcohol over the past two weeks.
The information is shown in the Venn diagram below:
From the Venn diagram above, determine:
3.6.1 The number of male students that too alcohol
(3)
3.6.2 The number of male students that did not took alcohol
(2)
3.6.3 The number of female students that took alcohol
(2)
3.7 Lukas has received his gratuity of N$50 000 and 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)
Option B: Investment with interest compounded quarterly.
By showing full calculations, determine which interest option is better for
Lukas.
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END OF EXAMINATION________
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