 |
ITM511C-INTRODUCATION TO MATHEMATICS 1A-2ND OPP-DEC 2025 |
|
|
1 Page 1 |
▲back to top |
nAm I BIA un IVE RSITY
OF SCIEnCE An □ TECHn □ LOGY
FACULTY OF COMMERCE, HUMAN SCIENCES AND EDUCATION
HAROLD PUPKEWITZ GRADUATE SCHOOL OF BUSINESS
QUALIFICATION: DIPLOMA IN BUSINESS PROCESS MANAGEMENT
QUALIFICATION CODE: 0GDBPM
COURSE CODE: ITM511C
LEVEL: 6
COURSE NAME: INTRODUCTION TO MATHEMATICS
lA
SESSION: OCTOBER 2025/
NOVEMBER 2025
PAPER: THEORY (PAPER 2}
DURATION: 3 HOURS
MARKS: 100
SECOND/SUPPLEMENTARY OPPORTUNITY EXAMINATION QUESTION PAPER
EXAMINER(S) Mrs. H.Y. NKALLE
MODERATOR: Mrs. A.N. SAKARIA
INSTRUCTIONS
1. Answe r ALL the questions.
2. Read all the questions carefully before answering.
3. Number the answers clearly
THIS QUESTION PAPER CONSISTS OF_4_ PAGES (Including this front page)
|
|
2 Page 2 |
▲back to top |
Section A: Multiple choice Questions (3 Marks per Question [30 Marks]).
1.1 Evaluate 20 + 4 + 3 x (5 - 2) - 1.
(a) 12
(b) 13
(c) 14
(d) 15
i fi 1.2 Simplify the fraction + ¾-
(a) ~
(b) i
(c) g
(d) g
1.3 What is 25% of 80, Express the ratio of 2:5 as a percentage.
(a) 20, 40%
(b) 20, 50%
(c) 25, 40%
(d) 25, 50%
1.4 Simplify 42 x 8- 1 -,- 23
(a) r 3
(b) r 2
(c) 2- 1
(d) 2°
1.5 Simplify the surd v'45 + -J26 - v'5.
(a) 4v'5
(b) 5v'5
(c) 3v'5
(d) 4v'5 - -J26
1.6 Evaluate log10 100 + log10 10 and change 34 = 81 to logarithmic form.
(a) 3, log3 81 = 4
(b) 3, log3 4 = 81
(c) 4, log3 81 = 4
(d) 4, log3 4 = 81
1.7 Expand and simplify (2x + l)(x - 3)
(a) 2x 2 - 5x - 3
(b) 2x 2 - 7x - 3
(c) 2x2 + 5x + 3
(d) 2x 2 + 7x + 3
1
|
|
3 Page 3 |
▲back to top |
1.8 Solve the linear equation : 5x - 2 = 3x + 6
(a) X = 2
(b) x = 4
(c) X = 6
(d) x = 8
1.9 Solve the •inequality 4x + 3 ~ 11, and identify the solution set.
(a) X ~ 2
(b) x ~ 3
(c) X < 2
(d) x < 3
1.10 For a geometric progression 3, 6, 12 , . . ., find the common ratio and sum of first 4 terms .
(a) 2, 45
(b) 2, 42
(c) 3, 45
(d) 3,42
Section B: True (T) or False (F) (2 marks per Question [10 Marks]).
2.1 The surd vl2 can be simplified to 2v/3.
2.2 logb a = -1og1a b is one of the laws of logarithms.
2.3 The sigma notation :Z:::~=l k = n(n2+I) .
2.4 The law of surds stats that fo x ,/b = J a + b.
2.5 The complement of a set A in the universal set (u) is the set of element in A that are not in
u.
SECTION C: Structured Questions.
Question 1
1.1 Evaluate 12 ...;- 3 + 5 x 2 - (4 - 1) . (5]
1.2 Simplify the fraction ¾+ ~ - ½, leave the answer to 2 decimal places. (5]
1.3 Convert 45% to a fraction in simplest form . [2]
Question 2
2.1 Expand and simplify (x + 3)(x - 4) - 2x. (2]
2.2 solve the linear equation 4x - 7 = 2x + 5 (3]
2.3 Evaluate log10 1000 + log10 10. (3]
Question 3
3.1 Find the 5th term of the arithematic progression where first term is 2 and common difference
is 3. (5]
2
|
|
4 Page 4 |
▲back to top |
'1
3.2 Factorise x 2 - 5x + 6 and solve for x. [3]
3.3 Given sets A= {1 , 2, 3}, B = {3, 4, 5}, U = {1 , 2, 3, 4, 5, 6} . Find , [4 Marks, half mark each]
(a) AU B
(b) An B
(c) A'
. [1 2] [5 6] 3.4 Given A =
,B =
.
34
78
(a) Find AB [5]
(b) A-1 [7]
Question 4
4.1 Use cramer's rule to solve the following system of equations. 3x + 2y = 11 and x - y = 2 [6]
4.2 Calculate simple Interest on N$ 2000 at 5% p.a for 3 years. [3]
4.3 Find compound Interest on 10000 at 4% p.a compounded annually for 2 years . [3]
4.4 Find I::%=1(2k + 1). [4]
End of Second/Supplementary opportunity Question paper.
3