# EZAKHENI CLUSTER MATHS GRD9 SEPT 2023

```EZAKHENI CLUSTER
TEST
SEPTEMBER 2023
MATHEMATICS
Marks: 50
Duration: 1.5 hour
NAME &amp; SURNAME OF LEARNER: ___________________________________
INSTRUCTIONS AND INFORMATION
2. A non-programmable calculator may be used unless otherwise stated.
3. Section A consists of FIVE multiple choice questions. You must CIRCLE the letter of the
correct answer in the QUESTION PAPER
4. Clearly show all calculations, diagrams and graphs that you have used to determine your
5. Diagrams are not necessarily drawn to scale.
6. If necessary, round-off answers to two decimal places, unless stated otherwise.
7. Write neatly and legibly.
Page 1 of 7
SECTION A
QUESTION 1
FOUR options are provided as possible answers to the following questions.
Write the letter next to the correct answer in the QUESTION PAPER.
1.1. The following table shows a relationship between π₯ πππ π¦.
π₯
-2
-1
0
1
2
π¦
-5
-3
-1
1
3
Complete: The rule describing the relationship between π₯ πππ π¦ ππ  …
A. π¦ = 2π₯ + 1
B. π¦ = −2π₯ + 1
C. π¦ = 2π₯ − 1
D. π¦ = −2π₯ − 1
(1)
1.2. Which one of this statement is TRUE about parallel lines?
A. Parallel lines are lines formed when two lines meet each other at the right angle or 90
degrees.
B. Parallel lines are lines that in the same plane with the same distance apart and they
never meet each other.
C. Parallel lines intersect and form vertical opposite angles that are equal.
D. Parallel lines are lines that meet at a point to form acute angles.
(1)
1.3.
Complete: The point of intersection of the two graphs is …..
Page 2 of 7
A.
B.
C.
D.
(0; -3)
(-2;-1)
(-1;-2)
(-3; 0)
(1)
1.4. Complete the flow diagram by using the given rule
6
8
A.
B.
C.
D.
−16
π¦ = − 3π₯ + 2
___
-22
-26
22
26
(1)
1.5. Which of the following statement is TRUE, if two straight lines are
perpendicular? A. The product of the gradient is -1.
C. The product of the gradient is 1.
D. The sum of the gradient is 0.
(1)
[5]
SECTION B
QUESTION 2
FUNCTIONS AND RELATIONSHIPS
2.1. Copy and complete the following table where π₯ is an integer (π₯ ∈ π) from -5 to -1
π₯
-5
-4
-3
-2
-1
π¦ = π₯2 + 1
26
______
_____
_____
2
(3)
2.1.2. If π¦ = 50 write down the equation and determine the value of π₯.
(3)
_________________________________________________________________________________
_________________________________________________________________________________
_________________________________________________________________________________
_________________________________________________________________________________
_________________________________________________________________________________
[6]
Page 3 of 7
QUESTION 3
GRAPHS
3.1 Given: π¦ = − π₯ + 2
3.1.1. Determine the gradient and then state whether the line is increasing or decreasing.
___________________________________________________________________
___________________________________________________________________
(2)
3.1.2. Write down the coordinates of the y-intercepts and x-intercepts, SHOW ALL YOUR STEPS.
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
(9)
3.1.3. Draw the graph of the line on a set of axes.
(3)
3.1.4 Determine whether the function is linear or non-linear.
__________________________________________________________________
(1)
[15]
Page 4 of 7
QUESTION 4
GEOMETRY OF STRAIGHT LINES
4.1. Determine the value of π₯, π¦ and π§, in alphabetical order, for each diagram. All reasons must be
given.
4.1.1.
50 &deg;
π₯
π¦
STATEMENT
REASON
(4)
4.1.2.
F
π§
π¦
80
&deg;
E
π₯
100
A
STATEMENT
20
&deg;
&deg;
C
B
REASON
(6)
Page 5 of 7
GEOMETRY OF 2D SHAPE
4.2. Study the diagrams and fill in the correct statement or appropriate reason.
Statement: πΆΜ 1 + πΆΜ 2 = 180&deg;
a)
Reason:
____________________________
____________________________
b)
Statement:
________________________
Reason: exterior angle of a triangle
equals the sum of the two opposite
interior angles
(4)
4.3.1. Name the type of triangle according to the information given.
Diagram
Name
a)
Page 6 of 7
b)
c)
(6)
4.3.2. Determine the value of C1 and C2, All reasons must be given.
STATEMENT
REASON
63&deg;
47&deg;
(4)
[24]
&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt;&gt; 50 &lt;&lt;&lt;&lt;&lt;&lt;&lt;&lt;&lt;&lt;&lt;
Page 7 of 7
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