MIP1502 ASSIGNMENT 4 2023

MIP1502 ASSIGNMENT 4
SOLUTIONS 2023 UNISA
MATHEMATICS FOR
INTERMEDIATE
PHASE II
STUDENT NUMBER :
STUDENT NAMES :
QUESTION 1

1.1
1.1.1

, 1.1.2

Tile no. 1 2 3 4 5 6 25
Number of yellow 3 10 19 30 43 58 723
tiles
Number of red tiles 2 2 2 2 2 2 2
Number of blue 4 4 4 4 4 4 4
tiles
Total number of 9 16 25 36 49 64 729
tiles

1.1.3
Variable = Number of yellow tiles
Constant= Number of red tiles = 2
Constant = Number of blue tiles= 4

Constant: A constant can be defined as a fixed value, which is used in
algebraic expressions and equations. A constant does not change over time
and has a fixed value. For example, the size of a shoe or cloth or any apparel
will not change at any point.

In an algebraic equation, x+y = 8, 8 is a constant value, and it cannot be
changed.

Variables: Variables are terms which can change or vary over time. Its value
does not remain constant, unlike constants. For example, the height and
weight of a person do not always remain constant, and hence they are
variables. In an algebraic equation, x+y = 8, x and y are the variables whose
values can be changed.

1.1.4 Column 6 FOR Tile no: 6: By extending the pattern of red , blue and
yellow squares it is clear that the numbers of RED and BLUE squares are
constant. Namely the number of RED squares = 2 and the number of BLUE
squares = 4 the and total number of tiles is the perfect square = (6+2)2 =
82 = 64 tiles.

Column 25 FOR Tile no: 25: By extending the pattern of red , blue and
yellow squares it is clear that the numbers of RED and BLUE squares are
constant. Namely the number of RED squares = 2 and the number of BLUE
squares = 4 and the total number of tiles is the perfect square = (25+2)2
= 272 = 729 tiles

1.1.5 The rule used to calculate the total number of yellow tiles is:

Number of YELLOW tiles = Total number of tiles – Number of BLUE tiles -
Number of RED tiles
Number of YELLOW tiles = Total number of tiles – 4 – 2
Number of YELOW tiles = Total number of tiles – 6