 |
BMS411S - BASIC MATHEMATICS - 1ST OPP - JUNE 2023 |
|
|
1 Page 1 |
▲back to top |
(
nAmlBIA unlVERSITY
OF SCIEnCE Ano TECHnOLOGY
FACULTYOF HEALTH, NATURAL RESOURCESAND 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: BASICMATHEMATICS
DATE: JUNE 2023
DURATION: 3 Hours
NQF LEVEL: 4
COURSE CODE: BMS411S
PAPER :THEORY
MARKS: 100
EXAMINER:
MODERATOR:
FIRST OPPORTUNITY EXAMINATION QUESTION PAPER
DR. J MWANYEKANGE, MR. F NDINODIVA, MR. J AMUNYELA, MR. S. P
KASHIHALWAand MS. P NGHISHIDIVALI
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)
|
|
2 Page 2 |
▲back to top |
Question 1(40 marks)
Write down the letter corresponding to the best option for each question in the
answer booklet/sheet provided.
I.I Which of the following numbers is not a natural number?
(1)
A. 11
B. 0
C. I
D. 2
1.2 The prime decomposition of 1155 is:
(2)
A. 3 x 35 x 11 B. 3 x 5 x 7 x 11 C. 15 x 7 x 11
D. 33x35
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)
c. A. 0.25 x 109 B. 0.25 x 10-9
25 x 10- 11
D. 2.5 X 10- 10
1.5 Given that of 440 golf players, 50 drink tea and coffee, 200 drink coffee and
40 drink neither tea nor coffee. How many golf players drink tea only? (3)
A. 350
B. 250
C. 150
D. 200
1.6 When a number is doubled and then added to 20, the result is 140. What is the
number?
(3)
A. 50
B. 120
C. 55
D. 60
)-< 1.7 The expression, 1: simplifies to:
(3)
A. .±
9
B. I
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
A.-- 2
3
B. 3_,.!,_
.)
C. -3- 3
2
D.-4
1.10 A man earned N$450 last month and spent _!_of the income on food and .3__
3
15
on transport.
1.10.1 How much did he spend on transport?
(3)
2
|
|
3 Page 3 |
▲back to top |
(
A. N$60
B. N$200 C. N$95
D. N$250
1.10.2 How much did he spend in total?
(3)
A. N$210
B. N$350 C. N$220
D. N$60
1.11
Eva Iuate
an d s1. 1npl"1fy
0.009999
+ 505 x 0 + 0.990001
10- 2
(3)
A. 100
B. 0.001
C. 1
D. 0.01
1.12
Tl1e expressio.n,
x+4.
X 2 +4x
s1mp11·f1ies to:
(3)
A._!_
X
B.
2x
1
C. -,
x-
D. x+3x 2
1.13 Simp Iify the following expressions.
1.13.1 0.09y+4xy-0.72xy-l.7y-4ty
(3)
A. - 2.3 lxyt B. -1.6 ly + 3.28xy-4ty
D. 4.09xy 2 - 2.42xy 2 - 4ty
C. - l.6ly ? + 3.28x-? y 2 -4ty
1.13.2 3(7g-3)-5(g-2g)
A. 6g+9
B. 6g-9
C. 26g-9
(3)
D. -26g-9
Question 2 {10 marks) [show all your working]
2.1 Factorise the expression, 4p 2 q 4 -4 p 2q + 4p 3q
(4)
2.2 lf x = -2 then the expression 16x simplifies to:
(3)
-3-4x
2.3
So Ive
t1I e
.X
equation,-+-=
2x
x-6
(3)
34
3
|
|
4 Page 4 |
▲back to top |
Question 3 (50 marks) fshow all your working]
3.1 Calculate the values of x, y and z in the Venn diagram below.
(6)
600
(
960
400
270
z
3.2 Given A= {a,b, c, d, e} B={a,d,e,J,h}
C={b,c,d,e,f,g}
Find:
3.2.1 AnB
(2)
3.2.2 (AnB)uc
(3)
3.2.3 p(An B)
(3)
3.3 All of one hundred and four different pills contain at least one of the vitamins
A and B. Forty five contain vitamin A only, (2x + 9) contain vitamin B only,
and 3x contain both vitamins.
3.3.1 Present the information in a Venn diagram and solve for x.
(6)
3.3.2 How many pills contain vitamin B?
(I)
3.4 Given vectors a= (- 2 -3)
Find -2a-3b
(4)
3.5
Given
a matrix,
A
=(
-2
4
Find:
3.5.1 -2A
(4)
3.5.2
(4)
3.5.3 Determinant of A
(2)
3.6 After a price increase of25%, the price of a car is N$ I 05 000. What was the
price before the increase?
(3)
4
|
|
5 Page 5 |
▲back to top |
3.7 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)
b, 3.8 Find the value of the letters, a, c and din the matrices given below.
(8)
-4a
( 4c
2b)-(b 4) ( 22
6d a
12 - - 12
48)
24
---------------------------------END OF EXAM INATl ON-------------------------------
5