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BMS411S - BASIC MATHEMATICS - 1ST OPP - NOVEMNER 2024 |
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nAmlBIA UnlVERSITY
OF SCIEnCE AnDTECHnOLOGY
FacultoyfHealthN, atural
ResourceasndApplied
Sciences
Schoool f NaturalandApplied
Sciences
Departmentof Mathematics,
StatisticsandActuarialScience
p
13JacksoKn aujeuaStreet
PrivateBag133B8
Windhoek
NAMIBIA
T: +264612072913
E: msas@nust.na
W:www.nust.na
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: NOVEMBER 2024
SESSION: 1
DURATION: 3 HOURS
MARKS: 100
FIRST OPPORTUNITY: 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
This paper consists of 5 pages including this front page
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(Write down the letter corresponding to the best option for each question)
QUESTION 1
[39 Marks]
1.1 Which of the following numbers is not a prime number?
[3]
A2
B.9
C. 3
D. 13
1.2 Decompose 250 into a product of its prime factors
[3]
A 2 X 53 B.2 x 25 x 5
C. 22 X 53
D. 2 x 125
1.3 Three bells toll at the intervals of 12, 15 and 24 minutes. All three begin to toll
together at 9 a.m. At what time they will again toll together?
[3]
A 11.a.m
B. 10.a.m
C. 10:45 a.m.
9.93X10- 3
1.4 The expression 0.23X10 5 simplifies to (3.s.f):
D. 8:45 a.m.
[3]
A 1.87 x 10 5
B. 1.90 x 105
C. 18.733 x 10- 7 D. 4.32 x 10- 7
1.5 The expression -(x 2y 3 - 1) 2 + xy(x 3 y 5 - 2xy 2).simplifies to:
[3]
A.-1
C. -4x 4 y 3 - 3x + 4y
D.1
1.6 Factorize 4y 3 + 12y 2 + 3y + 9
[3]
A (6y - 9a)(4y - 6a)
C. (4y 2 + 3)(y + 3)
B. (3y + 2b)(2y - 3a)
D. 3y(2y - 3a) + 2b(2y - 3a)
Course Name (BMS411S)
1st Opportunity November 2024
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1.7 In an Auditorium South the number of boys is three less than four times the
number of girls.
Which of the following expressions represent the number of boys in the
Auditorium South if the number of girls is n?
[3]
A. 3 - 4n
B. 4n- 3
C. n + (4n - 3)
D.n>(4n+3)
= =;, 1.8 Given x -2; y
the expression 4x (::) simplifies to:
4
C.
6
[3]
-4
D.
3
1.9 The value of x in the equation 3(7 + 5x) - 21 = -30 is:
A. -2
B.-7
C. -49
[3]
D.2
1.10 Luise has 160 copies of a news article. The ratio of the number of Luise's
copies to the number of Maggy's copies is~: 1 .How many copies does
3
Maggy have?
[3]
A. 480
· B. 372
C.82
D. 744
1.11 If A = {2,3,6,7,8,9} and B = {11,5,4,1}. The set An B =?
[3]
A. {O}
B.0
C. {1,2,3,4,5,6,7,8,9,11} D. {1,2}
1.12 Forty workers can paint a wall in eight days. Assume that all workers work at
the same pace. How many workers can paint the same wall in 10 days? [3]
A. 16 workers
B. 32 workers
C. 50 workers
D. 120 workers
6), 1.13 Given A = (~
the determinant of A is:
A. -4
B.4
C. 0
[3]
D.8
Course Name (BMS411S)
1st Opportunity November 2024
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SECTION B (show all your calculations)
QUESTION 2
2.1 Calculate the highest common factor of 12, 72 and 400
(24 marks)
[4]
2.2 Simplify each of the following expressions without using a calculator
2.2.1 [3(7 - 2 X 4) + 9] X [6 - (5 + 3)]
[5]
2.2.2
[4]
2.2.3
--1-2 . 4
y-2 2y-4
[3]
2.3 Mr. David gives half of his salary to his wife and then gives $3.00 to his last
born. Mr David kept $7.00 to himself.
2.3.1 Write down an equation in terms of x, representing this information.
[3]
2.3.2 How much did Mr. David earn?
[2]
2.4 Solve the following linear equation
[3]
x-7 x+3
4
12
QUESTION 3
(37 marks)
3.1 In a survey of 40 students in a class, 10 were fond of having pineapple juice
(P), 15 were fond of orange juice (0) and 7 liked to have both pineapple as
well as orange juice.
S=40
P=.101:5:=15
(
7
)
~-
Course Name (BMS411S)
1'1 Opportunity November 2024
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3.1.1 How many students like pineapple or orange juice?
[2]
3.1.2 How many students were taking pineapple juice but not orange juice? [2]
3.1.3 How many students were taking exactly one of the two juices?
[2]
3.1.4 How many students were taking neither pineapple juice nor orange juice? [2]
3.2 Let n = {1,2,3,4,5,6,7,8,9,10} and A= {1,2,3,4,5,6} and B = {5,6,7,8,9}
Find
3.2.1 AUB
[2]
3.2.2 AnB
[3]
3.2.3 (Au B)
[2]
3.2.4 An B
[3]
3.3 If D = {x: xis even and 2 < x 10} , list the elements of set D
[4]
3.4 Given matrices:
-4) (2 A=(~
-2
'B = 3
~) and
C = (~
-9)
-2
3.4.1 Find AB
[4]
3.4.2 Find the value of x in matrix C if det(C) = 10 ?
[2]
3.4.3 Obtain a matrix 2A - B
[5]
3.5 Calculate the amount payable for a loan of N$ 3500 for 4 years at the rate of
12% p.a compounded semi-annually.
[4]
Course Name (BMS411S)
1st opportunity November 2024