 |
BMS411S - BASIC MATHEMATICS - 2ND OPP - JANUARY 2024 |
|
|
1 Page 1 |
▲back to top |
nAml BIA unlVERSITY
OF SCIEnCE AnOTECHnOLOGY
FacultyofHealth,Natural
ResourceasndApplied
Sciences
Schoolof NaturalandApplied
Sciences
Departmentof Mathematics,
Statisticsand Actuarial Science
13JacksonKaujeuaStreet
PrivateSag13388
Windhoek
NAMIBIA
T: +264612072913
E: msas@nust.na
W: www.nust.na
QUALIFICATION VARIOUS
QUALIFICATIONCODE: VARIOUS
COURSE:BASIC MATHEMATICS
DATE: JANUARY 2024
DURATION: 3 HOURS
LEVEL:4
COURSECODE: BMS411S
SESSION: 1
MARKS: 100
SECOND OPPORTUNITY: QUESTION PAPER
EXAMINER:
DR JOSUA MWANYEKANGE, MR JONAS AMUNYELA, MR SIMON KASHIHALWA AND
MS PONHOYOMWENE NGHISHIDIVALI
MODERATOR:
MR GABRIEL MBOKOMA
INSTRUCTIONS:
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.
6. 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.
7. For QUESTION 2, 3 and 4 show clearly all the steps used in the calculations.
8. All written work must be done in blue or black ink and sketches must be done in
pencil.
PERMISSIBLE MATERIALS:
1. Non-Programmable Calculator
This paper consists of 5 pages including this front page
|
|
2 Page 2 |
▲back to top |
Question 1 (26 marks)
Write down the letter corresponding to the best option for each question in the answer
booklet/sheet provided.
1.1 Which of the following numbers is not a natural number?
(I)
A. 11
B. 0
C. I
D. 2
1.2 The prime decomposition of 1 155 is:
(2)
A. 3 X 3 5 X 11 B. 3 X 5 X 7 X 11 C. 15 x 7 x 11 D. 33 x 35
1.3 What is the Highest Common Factor (HCF) of 42 and 60?
(2)
A. 12
B. 6
C.4
D. 2520
1.4 An atom is 0.00 000 000 025 cm in diameter. Write this figure in standard form. (2)
A. 0.25 x 109 B. 2.5 x 10- 10 c. 25 x 10- 11 o. 0.25 x 10- 9
1.5 A man earned N$450 last month and spent of the income on food and 2
on
3
15
transport.
1.5.1 How much did he spend on transport?
(2)
A. N$60
B. N$200 C. N$95
D. N$250
1.5.2 How much did he spend in total?
(2)
A. N$210
B. N$350
C. N$220
D. N$60
1.6 When a number is doubled and then added to 20, the result is 140. What is the
number?
(3)
A. 60
1.7 The express;on,
rB. 120
,;mpHfiesto:
C. 55
D. 12
(3)
A.- 4
9
B. 3
2
C. 44
D. 44
4
1.8 Determine the value of 36(7 x 2-17)-=-- 3 + 24-=-3- + 5
(3)
A.4
B. -4 C. - 1247
D. -23
I_ 1.9 The expression -1 2~ simplifies to:
(3)
33
Basic Mathematics (BMS411S)
2nd Opportunity November 2023
2
|
|
3 Page 3 |
▲back to top |
A.4
B. 3_!_
C. -3i
D. -4
3
2
1.1 0Evaluate
and simplify
-0--.0--0-9--9--9-9
+
505 XO+
]o-2
0.990001
(3)
A. 100
B. 0.001
C. l
D. 0.01
Question 2 (12 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 Simplify the following expressions
5y2 - y3
2.1.1
(3)
7y2 - y3
(2asb4c3f2
2.1.2
(3a3 b-7 c-3)2
(4)
2.2 If your annual salary is N$361 900, how much do you earn per week?
(2)
2.3 Thirty men takel0 days to dig a trench. Working at the same rate, how long would it
take twenty men to dig the same trench?
(3)
Question 3 (12 marks)
The answers to this question should be written in the answer booklet/sheet provided.
Ensure that all your calculations are shown neatly, systematically and legibly.
3. l Factorise the expression, 4p 2q 4 -4p 2q +4p 3q
(4)
3.2 If x =--? then the expressio.n ---sl16mx p . 1.1fi1es to:
(4)
-3-4x
,.).,.,.)., Solve the equation, -X + -2x = x - 6
(4)
34
Basic Mathematics (BMS411S)
2nd Opportunity November 2023
3
|
|
4 Page 4 |
▲back to top |
Question 4 (50 marks)
The answers to this question should be written in the answer booklet/sheet provided.
Ensure that all your calculations are shown neatly, systematically and legibly.
4.1 Calculate the values of a, band c in the Venn diagram below.
(3)
650
400
350
I'
(
a
l
(b
\\\\
C
)
\\
\\
80
4.2 Given A= {a, b, c, d, e} B={a,d,e,J,h}
C = {b,c, d, e, f, g}
Find:
4.2.1 AnB
(2)
4.2.2 (AnB)uc
(3)
4.2.3 p(AnB)
(3)
4.2.4 AEBB
(3)
4.3 Given vectors a= (- 2 -3)
%) b = (1
Find -2a-3b
(4)
(-? -;J 4.4 Given a matrix., A = 4-
Find:
4.4.1 -2A
(4)
4.4.2 A2
(4)
4.4.3 JA(ideterminant of A)
(2)
4.5 Divide 2424 in the ratio of 2: 3 : 5
(3)
Basic Mathematics (BMS411S)
2nd Opportunity November 2023
4
|
|
5 Page 5 |
▲back to top |
4.6 The price of a car is N$ l 05 000, this is after a price increase of 25%. What was the
price before the increase?
(3)
4. 7 Calculate the amount payable for a loan of N$244 000 after 5 years at the rate of
3.75% p.a. compounded quarterly.
(4)
4.8 Tangi is four years older than Alen who is 9 years older than Inga. If their combined
age is 52 years, find the age of each person.
( 4)
4.9 Find the value of the letters, a, b, c and din the matrices given below.
(8)
-4a
( 4c
2b)-(b 4) ( 22 48)
6d a
12 -12
24
---------------------------------ENODF EXAMINATION-----------------------------------------
Basic Mathematics (BMS411S)
2nd Opportunity November 2023
5