NAME: LETHABO HENDRIETTA
SURNAME: LEKALA
STUDENT NUMBER: 23496738
ASSIGNMENT NUMBER: 03
MODULE CODE: OPM1501
UNIQUE CODE: 147506
DATE: 21 JUNE 2025
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DECLARATION
(Your Assignment 3 will not be marked if this
form is not completed.)
I, LETHABO HENDIRETTA LEKALA (Name & Surname)
Student number: 23496737
Module code: OPM1501
Hereby declare the following:
I understand Unisa’s policy on plagiarism. This
assignment is my original
work, produced by myself. I have duly
acknowledged all other people’s
work (both electronic and in print) through the
proper reference techniques,
as stipulated for this module.
I have not copied the work of others and
claimed it as my own. I have also
not made my work available to any fellow
students to submit as their own.
Signature: LETHABO HENDRIETTA LEKALA. Date: 21 JUNE 2025
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TABLE OF CONTENTS
QUESTIONS……………………………………………………………..PAGE NUMBER
QUESTION 1……………………………………………………………………………...…4
QUESTION 2…………………………………………………………………………….4 – 5
QUESTION 3………………………………………………………………………………...5
QUESTION 4…………………………………………………………………………….5 – 6
QUESTION 5………………………………………………………………………………...6
BIBLIOGRAPHY…………………………………………………………………………….7
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QUESTION 1
1.1
Number Set
Pattern or not, a pattern
Description
1; 3; 5; 7; 9;…
a) Pattern
2; 3; 4; 4; 6; 5; 8;…
c) Not a pattern
9; 18; 729; 6569;…
e) Not a pattern
7; 8; 10; 12; 14;…
g) Pattern
14; 28; 34; 41; 48;…
i) Not a pattern
b) Constant difference is
constant by 2, and the
sequence is arithmetic.
d) The constant difference
is not continuous; we go
from adding 1 to subtracting
0, then 2, then back to 1.
f) No clear relation,
because 18=9x2, from
there, 729=9x9x9, therefore
6569 is unrelated to the
pattern.
h) We start by adding 1,
then the constant difference
settles at 2, which becomes
the new constant
difference.
j) Constant difference
decreases but does not
reach or settle at one fixed
constant difference.
Therefore, there is no fixed
rule.
1.2 a) 2
b) 1
c) 0
d) -1
e) -2
1.3 a) 0
b) 8
c) 48
QUESTION 2
2.1 P’(4; -3)
Q’(0; -1)
R’(-1; -3)
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2.2 P’(7; 5)
Q’(3; 3)
R’(2; 5)
2.3 P’(8; 6)
Q’(0; 2)
R’(-2; 6)
QUESTION 3
3.1 Transformation is a rotation of 90 degrees clockwise about the origin.
3.2 The units translated 2 units to the left, and 11 units upwards.
3.3 Normalization was used, the units shifted 4 units to the right and 5 units towards
the origin, scaling by 0 (i.e, reduction)
3.4 Coordinates were swapped and signs changed accordingly. Transformation
occurred, with a 90-degree rotation clockwise about the origin.
QUESTION 4
4.1 a) Perimeter of the rectangular garden
P = 2(l x b)
=2(12 + 9)
=2(21)
P =42 m
b) Conversion
P = 42 m x 1000
=42000 cm
Therefore, the perimeter of the rectangle is 42000 cm.
4.2 250 ml x 4 = 1000 ml = 1ℓ
150 g x 4 = 600 g = 0,6 kg
4.3 Volume is the amount of space occupied by an object or substance.
Capacity refers to the amount a container can hold.
4.4 V = l x b x h
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=14 x 8 x 4
=448 cm
4.5 A) Polygon
•
It has straight sides and is a closed 2D shape.
B) Polygon
•
It has only straight edges and is closed.
C) Polygon
•
It is made up of a straight line and is closed.
D) Polygon
•
It has four straight sides and is a 2D shape.
E) Non-polygon
•
It is a circle, which has a curved edge, not straight lines.
F) Polygon
•
It is a bit irregular; it has only straight sides and is closed.
G) Polygon
•
It has straight sides and is a closed 2D shape.
H) Non-polygon
•
It is a 3D shape, which is a cube, and polygons are 2D shapes only.
QUESTION 5
Explanation
Drawing
a) A line segment is a part of a line that is
bounded by two distinct endpoints with a
fixed length.
(4)
b) Parallel lines are lines that will never
intersect, no matter how far they are
extended, maintaining a constant distance
between each other with the same slope.
(4)
c) Perpendicular lines are lines that
intersect at a 90° angle, which is a right
angle, forming an “L” shape. Their lines
have slopes that are negative reciprocals of
each other.
(4)
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BlBLIOGRAPHY
•
University of South Africa (Unisa). (2025). OPM1501 - Official study guide.
Unisa Press.
•
Müller, K. (2017). Maths 4 Africa (pp. 196–198). Grade 11
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