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GAUTENG DEPARTMENT OF EDUCATION
PROVINCIAL EXAMINATION
NOVEMBER 2018
GRADE 9
MATHEMATICS
NAME OF LEARNER: _____________________________________________________
GRADE / CLASS: _____________________
TIME: 2 hours
MARKS: 100
18 pages + 1 formula sheet
testpapers.co.za
GAUTENG DEPARTMENT OF EDUCATION
PROVINCIAL EXAMINATION
MATHEMATICS
TIME: 2 hours
MARKS: 100
INSTRUCTIONS AND INFORMATION
Read the following instructions carefully before answering the questions.
- This question paper consists of 9 questions and 19 pages, including the attached FORMULA
SHEET.
- Answer ALL the questions.
- A non-programmable calculator may be used unless otherwise stated.
- Clearly show all calculations, diagrams and graphs that you have used in determining your
answers. Answers only will not necessarily be awarded full marks.
- If necessary, round-off answers to TWO decimal places, unless otherwise stated.
- Diagrams are not necessarily drawn to scale. Reasons MUST always be given when doing
geometric calculations.
- Answer Questions 2 to 9 of Section B in the spaces provided on the question paper.
- Write neatly and legibly.
1.6 The general rule for the pattern is …
2
( x 2 )
A
B
C
D (1)
A 0
B
C 1
D undefined (1)
A
T 4 n 1
n
B
T 4 n 1
n
C
T 4 n 1
n
D
Tn 4 n 1
2
x
2
x x
2
x x
2
x x
1.7 Complete the flow diagram by using the given rule.
- 8 Complete:
If two straight lines are parallel, then the ...
- 9 12 m³ = …
A
B
C
D (1)
A
product of the gradients is.
B gradients are equal.
C product of the gradients is 1.
D sum of the gradients is. (1)
A 12 000 000 kℓ
B 12 000 kℓ
C 12 kℓ
D 0,012 kℓ (1)
Input Rule Output
𝑦 𝑡 +
SECTION B
QUESTION 2
Write in decimal form.
____________________________________________________________
____________________________________________________________ (1)
2.2 Decrease by.
____________________________________________________________
____________________________________________________________ (2)
2.3 Simplify:
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____________________________________________________________ (4)
____________________________________________________________
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____________________________________________________________ (2)
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___________________________________________________________________ ( 3 )
[12]
QUESTION 3
Factorise fully:
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____________________________________________________________ (2)
____________________________________________________________ (2)
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____________________________________________________________ ( 2 )
[6]
QUESTION 4
Solve for.
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___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________ (4)
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________ (3)
- 4 Calculate what R15 000 will amount to if it is invested at 5,5 % per annum compound
interest for 5 years.
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________ (3)
[1 2 ]
QUESTION 6
Determine the equation of the given straight-line graph. Use +.
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___________________________________________________________________
___________________________________________________________________
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- 2 Determine the gradient of the straight line perpendicular to the given graph.
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[7]
QUESTION 7
7 .1 The stem-and-leaf diagram below represents the marks of the learners in a Grade 9 class for a
Mathematics test.
Stem Leaves
7 .1. 1 How many learners wrote the test?
_____________________________________________________________ (1)
7 .1. 2 Calculate the average mark obtained by the class.
_____________________________________________________________
_____________________________________________________________ (2)
7 .1. 3 Determine the modal mark for the test.
_____________________________________________________________ (1)
7 .1. 4 Determine the median mark.
_____________________________________________________________
_____________________________________________________________ (2)
- 2 Cards numbered 1 to 6 are put into a bag. Athletes draw a card to decide the lane in which
they will run in a track event.
7 .2.1 What is the probability that a particular athlete will draw the card for lane one?
_____________________________________________________________
_____________________________________________________________ ( 1 )
7 .2.2 What is the probability of the next athlete choosing any one of the remaining
numbers?
_____________________________________________________________
_____________________________________________________________ (1)
[8]
In , is produced to. and
Calculate the size of
Statement Reason
_______
_______
________
_________
In the diagram above,
and
Complete:
Statement Reason
E
C D F
1
2
2
C
A
B
T
1
1 2
8 .4 The diagonals of ABCD bisect each other at T.
Prove that.
Statement Reason
In and
____________________________
3 4
2
1
T
A
B
C
D
1
2
1
2
1
2
2
1
8.6.1 Use your pair of compasses, ruler and a sharp pencil to construct triangle in the
frame below, so that
By measurement: The size of
_______________
8 .7 The co-ordinates of A are
A
O
Write down the co-ordinates of if is the reflection of A in the x –.
________________________________________________________
8 .7.2 Write down the co-ordinates of if is the reflection of A in the y.
________________________________________________________
8 .7.3 Write down the co-ordinates of if A is rotated anti-clockwise about the origin
through 180°.
________________________________________________________
[29]
FORMULA SHEET
Simple interest:
Compound interest:
Perimeter Area
Rectangle ( + )
Circle
Triangle ( + + )
