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BMS411S- BASIC MATHEMATICS - JAN 2020 |
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NAMIBIA UNIVERSITY
OF SCIENCE AND TECHNOLOGY
FACULTY OF HEALTH AND APPLIED 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 Hospitality
Management
QUALIFICATION CODE: 07BRRD,O7BACO,07BPMN,
07BLSM,07BOMT,07BNTC,07BEMC,06DVET,O7HMN
LEVEL: 4
COURSE CODE: BMS411S
COURSE NAME: BASIC MATHEMATICS
SESSION: JANUARY 2020
PAPER: THEORY
DURATION: 3 HOURS
MARKS: 100
SECOND OPPORTUNITY/SUPPLEMENTARY EXAMINATION QUESTION PAPER
EXAMINER(S)
Mr R Mumbuu, MrJ Amunyela, Ms Y Shaanika, Mr F Ndinodiva,
MODERATOR:
Mrs S Mwewa
INSTRUCTIONS
1. Answer ALL the questions in answer booklet provided.
2. Write clearly and neatly in blue/black ink.
Number the answers clearly and note that marks will not be awarded for
answers obtained without showing the necessary steps.
PERMISSIBLE MATERIALS
1. Non-Programmable Calculator without the cover
THIS QUESTION PAPER CONSISTS OF 5 PAGES (Including this front page)
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QUESTION 1[24 MARKS]
SECTIONA
(Write down the letter of your best option for each question in the answer booklet
provided)
1.1 The Lowest Common Multiple (LCM) of 5, 12 and 15 is:
[2]
A. 180
B.90
C.60
D.5
1.2 Decompose 360 into a product of its prime factors
2]
A.3*? x 3" x5
B.10x6x6
C.23 x 32x5
D.8x9xX5
1.3. The Highest Common Factor for 24, 25 and 48 is:
A.5
B.3
C.1
[2]
D. 5400
1.4 The expression (9 x 107) x (5 x 107) simplifies to (2 s.f)
[2]
A.15
B. 4.5 x 1073
c.4.5x 10% D.1.9x 107?
1.5 The expression 2m(m — n) + 2m(—m + n) simplifies to:
[2]
A. 4m? — 4mn
B.0
C.4m
D.1
1.6 Factorize ax? + xb?
[2]
A. x(ax + b?)
B. (x — b)(x + b)
C. (x — b)(—xb)
D. b(x — b)(+xb)
1.7 Bernice is 5 years older than Vanessa, who is double the age Eunice. If their combined
age is 55 years, find Vanessa’s present age.
[2]
A.15
B.25
C. 20
D. 10
1.8 GivenN =2,U =5,S =3,T =—-1 ,the expression NUST simplifies to:
[2]
A. —2531
B.9
C. 30
D. —30
1.9 The value ofz inthe equation 2 = — is?
A. -3
B. 4
Cd
D.7
1.10 The original price of a bag is NS500.The manager has agreed to give you a discount
of 10% for paying cash. After the discount, you are expected to pay 1 0% VAT for the
bag. How much will you pay altogether for the bag?
[2]
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A. NS1485.
B. NS135.
C. NS1500.
D. NS495
1.11 IfA ={x:xe€Z, —3 <x < 3}andB = {x:x is an integer ,x > 3}.
Determine the set AN B.
[2]
A. {0}
B.@
C.{1,2,3}
D. {9}
1.12 10 women can grind a 100kg bag of Omahangu in in 6 hours. Assume that all women
work at the same pace. How many women can grind the same bag in 2 hours?
[2]
A. 16
B. 15
C. 20
D. 30
QUESTION 2 (35 MARKS)
SECTION B (show all your calculations)
2.1 The mass of the earth is = of the mass of the planet Saturn. The mass of the earth
is 5.97 x 1074 kilograms. Calculate the mass of the planet Saturn, giving your answer
in standard form, correct to 2 significant figures.
[4]
22a 3 #8G-3)-25+(-)x(-) 2.2 Simplify each of the following expressions without using a calculator.
2
sl
2.2.2 (x+y)(x-y)
[3]
2.2.3 a*—(at+b)?+2ab+ b?
[3]
2.3 At present a mother is 32 years older than her daughter. Six years ago she was three
times as old as her daughter. Let x represent the present age of the daughter.
2.3.1 Write an equation in terms ofx that represent the mother’s present age.
[3]
2.3.2 Solve the equation in 2.3.1 to determine the mother’s present age?
[4]
2.4 Solve the following equations
2.4.1 2(a+3)=-12
[3]
2.4.2 2x= =% +3
[3]
2.5 Factorize the following expressions completely
2.5.1 4xy* + 16x*y — 24x3y5
[3]
2.5.2 6as + I9ay — 4xs — 6xy
[4]
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QUESTION 3 (41 MARKS)
3.1
Given
$=110
3.1.1 Find the values of x,y and z in the Venn diagram above.
3d
Let S = {1,2,3,4,5,6,7,8,9,10,11,12,13}
A = {1,2,3,4,5}, B = {3,4,5,6,7}, C = {6,7,8,9}
Find
3.2.1 AUC
[3]
3.2.2 A-B
[2]
Bolo ANB
[3]
3.2.4 ANB
3.3
Given that matrix A = é3. —-66 ) B = ( -41 3‘), C= ( ),D=(2 3)
Find
30:1 AB
[4]
3.352 detA
[2]
3.3.2 2A+3B
[6]
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3.3.4 DC
[4]
3.4 Angeline wants to buy a farm after 10 years. She wants to have N$2000 000 at the
time of purchase. How much should she invest now in a savings account that pays
simple interest at 9.5%?
[4]
3.5 Find the simple interest payable on a loan of NS 120 000 at 10 % p.a. at the end of 5
years.
[4]
END OF EXAMINATION QUESTION PAPER