Botswana Accountancy College
Computing and Information Systems
PROGRAMME: BSC. COMPUTER SYSTEMS ENGINEERING
BSC. APPLIED BUSINESS COMPUTING
BSC. MOBILE TECHNOLOGY
BSC INFORMATION COMMUNICATION TECHNOLOGY
BSC BUSINESS INTELLIGENCE AND DATA ANALYTICS
CIS116 – COMPUTER RELATED MATHEMATICS AND STATISTICS
Year 1
Semester 1
Test 1 Question Paper
Date: --/10/2022
Total Marks: 50
Time: --:-Duration: 2 Hrs 00 mins
Instructions to candidates
1. Candidates must attempt all two (2) questions in the Question Paper
2. Candidates attempting to gain unfair advantage or colluding in any way
whatsoever are liable to be disqualified.
3. Do NOT open the question paper until you are told to do so.
4. Candidates are not allowed to bring any material that may be used to copy,
collude or plagiarize the examinations
This question paper consists of Three (3) printed pages including the cover page
(Answer all questions)
Question 1
a) Solve the following Matrix calculations.
-4
i.
8
6 -13
3
5
5×
2
ii.
A=
1
4
-2
-3
and B =
5
[2 Marks]
-1
-1 4
6 -2
, then what is 3AT - 2BT?
[5 Marks]
b) Solve the following equations
i.
Solve simultaneously:
𝑥 𝑦
+ = −4
2 3
ii.
𝑎𝑛𝑑
[4 Marks]
𝑥 𝑦
+ = −2
5 5
Solve for x : 2(𝑥 + 7) = 6𝑥 + 9 − 4𝑥 .
[2 marks]
2
1
c) The slope intercept form of the equation of a straight line is 𝑦 = − 3 𝑥 + 2 3 . What is the
general form of the equation?
[2 marks]
d) In a group of people, 20 like milk, 30 like tea, 22 like coffee, 12 like coffee only, 6 like
milk and coffee only, 2 like tea and coffee only and 8 like milk and tea only.
i.
How many like at least one drink?
[4 Marks]
ii.
How many like exactly one drink?
[2 Marks]
e) Given that Line L1 passes through the points (0,-3) and (4,0) and its perpendicular to line
L2 , which passes through the point (0,2).
i.
Determine the gradient of line L1.
[ 2 Marks]
ii.
Find the gradient of line L2.
[ 2 Marks]
Total Marks: [25]
Page 2 of 3
Question 2
a) Given the equation 𝑦 = −𝑥 2 – 2𝑥 + 3, Sketch the Graph of the equation by finding the
following values:
i.
Find the 𝑦 intercept
[1 Marks]
ii.
Find the 𝑥 intercepts
[4 Marks]
iii.
Find the turning Point of the Graph
[2 Marks]
iv.
Plot the graph of the equation and label the axis, graph and intercepts
accordingly.
[4Marks]
b) Let U = {a,b,c,d,e,f,g,h,I,j,k}; A = {a,b,c,d,f,i}; B={a,c,e,g}; C = {b,d,f,h}
List the elements in each of the following sets.
i.
(A  B)’
[1 marks]
ii.
(A  C)  B
[2 marks]
c) Given that f(x) is a linear function where f(2) + f(3) = 0 and f(5) = 5, find f(x) [4 marks]
d) In a school, students must take at least one of these subjects: Maths, Physics or
Chemistry. In a group of 50 students, 7 take all three subjects, 9 take Physics and
Chemistry only, 8 take Maths and Physics only and 5 take Maths and Chemistry only. Of
these 50 students, x take Maths only, x take Physics only and x + 3 take Chemistry only.
i.
Draw a venn diagram for the above.
[ 5 marks]
ii.
Hence find the number taking Maths.
[ 2 marks]
Total Marks: [25]
END OF TEST
Page 3 of 3