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BMS411S - BASIC MATHEMATICS - 2ND OPP - JANUARY 2025 |
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nAml BIA UnlVERSITY
OF SCIEnCE AnDTECHnOLOGY
FacultyofHealth,Natural
ResourceasndApplied
Sciences
Schoolof NaturalandApplied
Sciences
Departmentof Mathematics,
Statisticsand Actuarial Science
13JacksoKnaujeuaStreet T: +264612072913
PrivateBag13388
E: msas@nust.na
Windhoek
W:www.nust.na
NAMIBIA
QUALIFICATION: Bachelor of Regional and Rural Development, Bachelor of
Communication, Bachelor of Technology Public Management, Bachelor of Supply Chain
Management, Bachelor of Public Management, Bachelor of Office Management and
Technology, Bachelor of Natural Resources Management, Bachelor of Emergency Medical
Care, Bachelor of Vocational Instructor, Bachelor of Hospitality Management, Nust Bridging
Programme, Bachelor of Culinary Arts.
QUALIFICATION CODE: 07BHOM, 04NBPR, 07BOMC,
07BCNA, 07BRRD, 25BACO, 24BPMA, 07BLSM, 07BOMT,
07BNTC, 24BPMN, 07BRMC
LEVEL: 5
COURSE:BASIC MATHEMATICS
COURSECODE: BMS411S
DATE: JANUARY 2025
SESSION: 1
DURATION: 3 HOURS
MARKS: 100
SECOND OPPORTUNITY/ SUPPLEMENTARY: EXAMINATION QUESTION PAPER
EXAMINER:
MODERATOR:
INSTRUCTIONS:
Mr Jonas Amunyela, Ms Ponhoyomwene Nghishidivali
Mr. Simon Kashihalwa
1. Answer all questions on the separate answer sheet.
2. Please write neatly and legibly.
3. Do not use the left side margin of the exam paper. This must be allowed for the examiner.
4. No books, notes and other additional aids are allowed.
5. Mark all answers clearly with their respective question numbers.
PERMISSIBLE MATERIALS:
1. Non-Programmable Calculator
ATTACHEMENTS: None
This paper consists of 6 pages including this front page
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SECTION A
(Write down the letter corresponding to the best option for each question)
QUESTION 1
[26 Marks]
1.1 45 is a Multiple of?
[2]
A 9&3
B. 4 &9
C. 18 & 4 D. 5 & 9
1.2 Decompose 2024 into products of its prime factors
[2]
A 24 x 32 x 5
B. 25 X 32 X 7 c. 24 x 65 o. 23 x 11 x 23
1.3 The Lowest Common Multiple (LCM) of 25,120 and 45 is
[2]
A 900
B.120
C. 135000
D. 5
1.4 The expression (9.52 x 10- 2) x (3.85 x 107 ) simplifies to (3 s.f)
[2]
A 3.67 X 104
B. 36.652 x 105 C. 3.67 x 10- 7 D. 3.67 x 106
1.5 The expression 4t - 5x - 2t + 8x - 2t + 1 simplifies to:
[2]
A 3x + 1
B. 13x + 1
C. -4x-1
D. 1
1.6 Factorize a2 b - b3
[2]
A a(a 2 - b 2 )
B. b(a - b)(a + b)
C. b(a - b)(a - b)
D. a(a - b)(a + b)
1.7 At present, a man is 41 years old, and his son is 5 years old. After x years, his
son's age will be half his age.
What is the son's age after x years?
[2]
A 31
B.46
C. 36
D. 10
Course Name (BMS411S)
2nd Opportunity- January 2025
2
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½ , 1.8 Given a= -2; b =
the expression 2ab 2 simplifies to
[2]
A. -1
B. 16
C.4
D. -8
= - 1.9 Th e va Iue of x I.n th e equatio. n -x-2 x+2 .Is?.
[2]
2
4
A. 1
B. -7
C. 6
D. 7
1.1O The original price of a bag is N$1750.The manager has agreed to give you a
discount of 10% for paying cash. After the discount, you are expected to pay
3.5% VAT for the bag. How much will you pay altogether for the bag?
[2]
A. N$1575.
B. N$175.
C. N$1630.13
D. N$1350.12.
1.11 If A = {a, b, c, d, e, f} and B = {1,2,3,4}.The set Au B =?
[2]
A. {O}
B. 0
C. {1,2,3,4, a, b, c, d, e, f}
D. {1,2}
1.12 Rewrite the fraction 2 -5 in decimal form correct to 4 decimal places.
[2]
7
A. 2.7142857
B. 2.7142
C. 2.7143
(2 = 1.13 Given A
2x ~) ,the determinant of A is
A. -3
B. 2x -10
C.O
D. 2.714
[2]
D. 2x
Course Name (BMS411S)
2nd Opportunity- January 2025
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SECTION B (show all your calculations)
QUESTION 2
[26 Marks]
2.1 180 blue balls, 225 pink balls and 270 yellow balls are distributed equally among
some students with none left over.
What is the biggest possible number of students?
[4]
2.2 Simplify each of the following expressions without using a calculator
2.2.1 ~+
6-4(3 X 1)
[4]
100-50
c~7)2 2.2.2
[4]
2.2.3 7x 2y + 2xy 3 - 3y 4 + 2xy 3 - 4x 2 y
[3]
2.3 A farmer cuts a 300-foot fence into two pieces of different sizes. The longer piece
should be four times as long as the shorter piece.
2.3.1
2.3.2
Write an equation in terms of x, representing the total length of the two
pieces
[2]
How long are the two pieces?
[3]
2.4 Splve for x in the following equations
= 2.4.1 32x+1 9
[3]
= 2.4.2 4X - 3 2 + -5 X
[3]
2
Course Name (BMS411S)
2nd Opportunity- January 2025
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QUESTION 3
[43 Marks]
3.1 Consider the Venn diagram below illustrating the marital status of staff members in
an organization
5=1000
Male
Married
2
3.1.1 What is the value of x?
[4]
3.1.2 How many female staff members are there in this organization?
[2]
3.1.3 How many of the female staff members are married?
[2]
3.1.4 How many male staff members were single?
[2]
3.1.5 Find the number of staff members who are male or Married
[2]
3.1.6 What is the percentage of single female are there in this organisation
[2]
3.2 let: n = {1,2,3,4,5,6,7,8,9,10} , A= {x: xis an integer and l::;; x::;; 6},
B = {5,6,7,8,9}
Find
3.2.1 AUB
[3]
3.2.2 An.B
[3]
3.2.3 (Au B)c
[2]
3.2.4 AnB
[3]
3.2.5 A-B = {1,2,3,4}
[2]
Course Name (BMS411S)
2nd Opportunity- January 2025
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(i ~) 3.4 Given that matrix A =
and B = (~ ~)
3.4.1 Obtain the matrix A2 •
[S]
3.4.2 Find the determinant of the matrix A.
[2]
3.4.3 Obtain the matrix A - 2B.
[4]
3.5 Find the value of x, y and z in the matrix equation below:
y) _ (X 6)
-1 - z 6
[S]
Question 4
(5 Marks)
4.1 Congratulation!! You just won N$50 000! You decide to invest your money, and the
bank presents you with this investment plan. You may invest your N$50 000 at 5%
interest, compounded quarterly, for a period of ten years.
How much interest are you going to earn after 10 years?
[S]
END OF EXAMINATION PAPER
Course Name (BMS411S)
2nd Opportunity- January 2025
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