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BMS411S - BASIC MATHEMATICS - 2ND OPP - JULY 2023 |
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n Am 1B I A u ni VE Rs I TY
OF SCIEnCE Ano TECHnOLOGY
FACULTY OF HEALTH, NATURAL RESOURCES AND APPLIED SCIENCES
SCHOOL OF NATURAL AND APPLIED SCIENCES
DEPARTMENT OF MATHEMATICS, STATISTICSAND ACTUARIAL SCIENCE
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
COURSE NAME: BASIC MATHEMATICS
DATE: JULY 2023
DURATION: 3 Hours
NQFLEVEL: 4
COURSE CODE: BMS411S
PAPER :THEORY
MARKS: 100
SUPPLEMENTARY/ SECOND OPPORTUNITY EXAMINATION QUESTION PAPER
EXAMINER($) DR. J MWANYEKANGE, MR. F NDINODIV A, MR. J AMUNYELA, MR.
S. P KASHIHAL WA and MS. P NGHISHIDIV ALI
MODERATOR: MR G. MBOKOMA
INSTRUCTIONS
1. Answer ALL the questions in the booklet.
2. 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 and 3 show clearly all the steps used in the
calculations.
4. All written work must be done in blue or black ink and sketches must
be done in pencil.
PERMISSIBLE MATERIALS
1. Non-programmable calculator without a cover.
THIS QUESTION PAPER CONSISTS OF 5 PAGES (Including this front page)
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Question 1 (26 marks)
Write down the letter corresponding to the best option for each question in the
answer booklet/sheet provided.
¾)} (¾ 1.1 Determine the value of 10 + {3 x 5 - 42 x +
(4)
A 232
11
B. 25
C. 9£
11
D. 8- 1
15
1.2 Given that 30:; x:; 36 determin~ the value of x such that x is a:
1.2.1 Prime number
(1)
A 35
B. 33
C. 31
D. 13
1.2.2 Multiple of 8
A 48
B. 32
C. 36
1.2.3 Factor of 693
A3
B. 9
C. 33
1.2.4 A perfect square
A 36
B. 30
C. 100
I
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1.3 Evaluate (50xy) 2 xx 2 , given that x = 9 and y = 2.
A 10
B. 90
C. 900
( 1)
D. 4
(1)
D. 30
(1)
D. 32
(3)
D. 450
1.4 The number 1998 can be written as 2 x 3" x p, where n is a whole number
and pis a prime number. Work out the values of n and p.
(3)
A. n=3;p=37
B. n=4;p=37
C. n=2;p=l11
D. n=2.5;p=64
1.5 Solve for x in: 3(x+4)-2=16-(x+8)-2.
A. X =-1
B. x=3
1.6 Factorise 6x 2 -9ax+4bx-6ab
C. x=-- 4
3
(3)
D. x=4
(3)
A (3x+2b)(2x-3a)
B. (6x-9a)(4x-6a)
D. 3x(2x-3a) + 2b(2x-3a)
C. 6(x 2 -ab)-x(9a-4b)
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1.7 If A represents the number of apples bought at N$1.50 each and B 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+100B
1.8 Determine the values of a, b, and k given that
[4 1)=[10 b)+k[3
a2
0 -2
6a)
4 -2
(3)
A. a=4;b=26;k=-2 B. a=4;b=22;k=2 C. a=4;b=22;k=-2
D. a= 2;b = 22;k = 2
Question 2 (20 marks)
2.1. Simplify each of the following expressions as much as possible.
2.1.1 -xy - 4ws + xy + 2ws + 2ws - 5
(4
2.1.2 Sa 2 - 2ab - 3a 2 - 6bc - 4a 2 + 2ba
(4)
8nt2 +40111
2.1.3
8111
(3)
2.2. Expand and simplify the expression (x - y)2(y - x) 2
(3)
2.3 Factorize the following:
2.3.1 a3 - a+ a2 c - c
(3)
2.3.2 4x 2 - 6xy + 6xk - 9yk
(3)
Question 3 (54 marks) [show all your working]
! -;) 3.1 Given that A= [
and B =[
-
3
).
calculate:
0
3.1.1 2A-3B
(6)
3.1.2 BA
(4)
3.1.3 Determinant of matrix B
(3)
3.2 Given that:
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A = {1, 2, 3, 6,7, 14, 21, 42 }; B = {2, 3, 5, 7, 11, 17, 19}; C = {1, 3, 5, 6, 7, 9, 12}
Determine the set
3.2.1 AnBnC
(2)
3.2.2 BffiC
(4)
3.3 Consider the Venn diagram below and determine the values of w, x and y. (3)
5=1010
G
432
H
518
252
w
X
y
3.4 Represent this information on a Venn diagram.
(4)
3.4.1 How many of the International students were not married?
(3)
3.4.2 How many of the International students were female?
(3)
3.4.3 Express the number of international married students as fraction of the
international students in the lowest terms.
(2)
3.5 It takes Mrs Shim bi and her son 10 weeks to plough their Mahangu field. Due
to bad health she has decided to employ some workers to help them with the
fields. If she wants the field to be ploughed in 4 weeks how many additional
men should she employ?
(4)
3.6 Susan bought a television on sale for N$1400. This was 70% of its original
price. What was the original price of the television?
(4)
3.7 Mr. Jonas opens an education trust fund for his three daughters, Mercy, Jane
and Patty, for future college fees with an initial amount of N$350000. This
amount earns Simple Interest at a rate of 15% for 10 years.
3.7.1 How much will be in the trust fund after 10 years?
(4)
3.7.2 If Mercy, Jane and Patty are given the money in the ratio 5:3:2 respectively,
after the 10 years has elapsed, how much will Jane receive?
(2)
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3.8 Mr. Joseph invests N$ 7500 in an investment account. The bank offers him
5.5% interest compounded monthly. If Mr. Joseph decides to withdraw from
this account only after 6 years, how much will he have in his account? (4)
---------------------------------END OF EXAM INATl ON-------------------------------
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