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BMS411S - BASIC MATHEMATICS - 1ST OPP - JUNE 2022 |
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NAMIBIA UNIVERSITY
OF SCIENCE AND TECHNOLOGY
FACULTY OF HEALTH, APPLIED SCIENCES AND NATURAL SCIENCES
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,
NQF LEVEL: 4
O7BNTC,24BPMN, 07BRCMC
COURSE NAME: BASIC MATHEMATICS
COURSE CODE: BMS411S
DATE: JUNE 2022
DURATION: 3 HOURS
PAPER : THEORY
MARKS: 100
EXAMINER (S)
FIRST OPPORTUNITY EXAMINATION
Mr. SP KASHIHALWA, Mr J AMUNYELA, DrJ Mwanyekange, Mrs. P Nghishidivali
MODERATOR: DrJ Ongala
INSTRUCTIONS
1. Answer ALL the questions in the answer sheet.
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
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 [16 MARKS]
Write down the letter corresponding to the best option for each question in the answer
booklet/sheet provided.
1.1 What is the solution of this linear equation bx +c = 0
A. x= -c
B.x == b
Cx =F c
D. x =——-c?
[2]
1.2 Which of the following is a rational number
A. v2
B. ¥26
C.1
D. V17
(2]
1.3 S= {1,2,3 ...10},A = {2,4,6,8,10},B = {1,3,5,7,9}, C = {2,5,7,},D = {1}.
Find n(B U C)
A. {1, 2,5,7}
B. {0}
C.@
D.5
[2]
1.4 If vector ( 2726: ) = ( 2x a—3 )
determine the value of x
A.5.1
B. impossible
C=
D. 4
[2]
1.5 If matrix. A =_f4[; a6l l=_f1lo 01
, Fi. nd det(A/)
A. 20
B.9
C. Matri. xA
D. ;4 6|
[2]
1.6 Find the HCF of 9, 11 and 10
A. None
B.1
C.9
D.9 and 10
1.7 Find the LCM of 9, 11 and 10
A. 99
B. 909
C. 990.
D. 90
[2]
1.8
If VAT is 15%, a bag of cement cost NS 75.00 excluding VAT, How much will a bag
cost if you add VAT
[2]
A. 86.25
B. 86.52
C. 25.86
D.11.25
mee
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QUESTION 2 [31] MARKS] (Clearly show all your work)
2.1 Solve the following linear equations
244. 2x-[3 =_=x +1
[4]
2.1.2 3(2x-5)=7
[4]
2.1.2, 22-7,
[4]
3
8
2.2 The national debt of Namibia is 70% of GDP. If GDP is S 250 million. Find the national debt
and write your answer in floating decimal.
[4]
2.3 A choir coordinator wants to divide the choir into smaller groups. There are 24 sopranos,
60 altos and 36 tenors. Each group will have the same number of each type of voice. What
is the greatest number of groups that can be formed and how many sopranos, altos and
tenors will be in each group?
[9]
2.4 Evaluate the following,
24.1(21406+4) t 17 — 3(2 x 2)
[6]
QUESTION 3 [26 MARKS] (Clearly show all your work)
3.1 IfS = {1,2,3,4,5,6,7,8,9,10},B = {x?:x EN,x <4},C = {3x:x EN,x <4}
D = {Odd numbers less than 10}
Find
3.2.1n(B N D)
[3]
3.2.2 D°
[4]
3.2.3B QC
[4]
3.2.4 (BUC)*
[4]
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3.2
Out of 360 students interviewed, it was found that 185 students speak Spanish (S),
55 students speak neither Spanish nor Portuguese. Furthermore, (x + 7) students
speak Portuguese (P) only and x speak both language
3.2.1 Drawa Venn diagram and show the information as given above on the Venn diagram
[5]
3.2.2 Solve for x
[3]
3.2.3 Find the number of students who speak Spanish only.
[3]
QUESTION 4[13 MARKS] (Clearly show all your work)
fA =_f2F 41 B _=2A, C=_A+B, Fi. nd
4.1 AB
[4]
4.2B+C
[4]
4.3 BA
[8]
Question 5[11 MARKS] (Clearly show all your work)
5.1
Hage borrow NS 500 000 to purchase furniture from a commercial bank, which offer
him 20% via simple interest, how much will he pays back if he is required to pay the
loan back after 5 years
[5]
5.2
Hage borrow NS 500 000 for debt consolidation from a commercial bank, which offer
him 20% compounded semi-annually, how much will he pays back if he is required to
pay the loan back after 5 years.
[6]
END