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BMS411S - BASIC MATHEMATICS - 1ST OPP - NOV 2022 |
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nAmlBIA unlVERSITY
OF SCIEnCE Ano TECHnOLOGY
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: NOVEMBER 2022
PAPER :THEORY
DURATION: 3 Hours
MARKS: 100
FIRSTOPPORTUNITY 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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Question 1(20 marks)
Write down the letter corresponding to the best option for each question in the
answer booklet/sheet provided.
1.1 Determine the value of 10 + [2 x 5 - 42 (~ x ~)] + :~
(2)
A. 23I_
11
8.25
C. 9i_
11
D. 8- 1
15
I
I
1.2 Evaluate (50.xy)2 xx 2 , given that x =9 and y = 2.
(3)
A. 10
B. 90
C. 900
D. 450
1.3 The number 1998 can be written as 2 x 3" x p, where n is a whole number and p
is a prime number. Work out the values of n and p.
A. n = 3; p = 37 B. n = 4; p = 37 C. n = 2; p = 111
(3)
D. n = 2.5;p = 64
1.4 Solve for x in:3(x+4)-2=16-(x+8)-2.
(3)
A. X=-1
B. x=3
C. X=-- 4
3
D. x=4
1.5 Factorise 6x2 - 9ax + 4bx - 6ab
(3)
A. (3x+2b)(2x-3a)
B. (6x-9a)(4x-6a)
C. 6(x 2 -ab)-x(9a-4b)
D. 3x(2x-3a) + 2b(2x-3a)
1.6 If A represents the number of apples bought at N$1.50 each and 8 represents
the number of bananas bought at N$1.00 each, which of the following
expressions below represents the total cost of buying the apples and bananas in
cents?
(3)
A. 25(A+B) B. A+B
C. 1.5A+B D. 150A+1008
1.7 Determine the values of a, b, and k given that
(a4
bJ+k(31J=(106aJ
2
0 -2
4 -2
(3)
A. a=4;b=26;k=-2
8. a=4;b=22;k=2
C. a=4;b=22;k=-2
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D. a=2;b=22;k=2
Question 2 (24 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 Evaluate the following:
2.1.1 ~+4-2
2-4
(3)
2.1.2 - 31-3 -[-(-2 2)]+ -27
(3)
2.2 Simplify each of the following expressions as much as possible.
2.2.1 -xy- 4ws + xy + 2ws + 2ws - 5
(3)
2.2.2 5a 2 - 2ab - 3a 2 - 6bc - 4a 2 + 2ba
(3)
2_2_3 8m2 + 40m
(3)
Sm
2.3 Solve the following linear equations
2.3.1 -X+ 1 = Zx - -3
(3)
5
7
2.3.2 3(2x - 5) = 7
(3)
2.4 Factorize rq+ pq 2 -rs- pqs
(3)
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Question 3 (16 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
A=(-!4) (4 -3) 3.1 Given that
2 and B = I
, calculate:
0
3.1.1 2A-3B
(6)
3.1.2 BA
(4)
3.1.3 Determinant of matrix B
(2)
3.2
9
If the determinant of the matrix (
3x-
3
)
is 0, determine
the
value
of x.(4)
-4 2x-1
Question 4 (17 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
4.1 Given that
A = { all factors of 42} ; B = { all prime numbers less than 20} ; C = {l; 3; 5; 6; 7; 9; 12}
Determine the set
4.1.1. AnBnC
(3)
4.1.2 BrJ!JC
(4)
4.2 A survey was carried out at a certain university to find out how many of the
International students were married. Of the 2100 International students
approached, 1105 of them were male and 600 of them were married. 305 of the
International students were married male students.
4.2.1 Represent this information on a Venn diagram.
(4)
4.2.2 How many of the International students were not married?
(3)
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4.2.3 How many of the International students were female?
(3)
Question 5 (23 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
5.1 Mr. Xuang made some fat cakes. He sold of them at his Cuca shop and gave
¾to his neighbours children.
5.1.1 What fraction of the fat cake is left?
(3)
5.1.2 If he had 30 fat cakes left, how many of them did he sell?
(3)
5.2 Mr. Swartz opens an education trust fund for his three daughters, Mercy, Jane
and Patty, for future college fees with an initial amount of N$350000. This
amount earns Simple Interest at a rate of 15% for 10 years.
5.2.1 How much will be in the trust fund after 10 years?
. (4)
5.2.2 If Mercy, Jane and Patty are given the money in the ratio 5:3:2 respectively, after
the 10 years has elapsed, how much will Jane receive?
(2)
5.3 Mrs. James decides to invest her money for 12 years to raise money for her
daughters' university education. The bank offers her an interest of 9.5%
compounded quarterly for the first 8 years and then an interest of 12%
compounded semi-annually for the last 4 years.
5.3.1 How much money will Mrs James have in her account after 8 years if she invests
N$5000?
(5)
5.3.2 How much will be available for her daughter's university education after 12 years
correct to 2 decimal places?
(6)
___________
END OF EXAMINATION ________
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