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Grade 9 term 3 control test
Mathematics (Pacaltsdorp Sekondêr)
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PACALTSDORP HIGH SCHOOL
GRADE 9 MATHEMATICS CONTROL TEST SEPTEMBER 2023
FORMAL ASSESSMENT 6
MARKS: 50
TIME: 1H
EXAMINER: T. ARRIES
MODERATOR: A. POTGIETER
INSTRUCTIONS AND INFORMATION:
1. Number each ques琀椀on clearly.
2. Write all steps and opera琀椀ons.
3. Write neatly and legibly.
4. A calculator may be used.
5. Tear o昀昀 the last page of the ques琀椀on paper and place it inside the answer sheet.
6. Hand in both your ques琀椀on paper and answer sheet separately.
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SECTION A
QUESTION 1:
1.1 Simplify die following expression :
1.1. 3x 2 4 (3)
+ + .
1 4 3 x
1.2 Factorize the following expression completely
2
1.2. 4 x+x +33+10 x (4)
1
1.2. x 2 ( a−m ) +9 ( m−a ) (4)
2
[10]
QUESTION 2:
2.1 Solve the following algebraic equa琀椀ons by determining the value of x
2.1. 1 8 5 (3)
. x+ +
1 3 3 x
2.1. x ( x−2)+ 1=2+x ¿ ) (3)
2
2.1. 2 x−3=17 +x (2)
3
2.1. Sandra adds 5 to a number. She mul琀椀plies the sum of this number and 5 by 2 (5)
4 and then subtract 3. She 昀椀nds that the answer is 3 琀椀mes the unknown number.
(Let the unkown number be 𝒙 )
[13]
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SECTION B
QUESTION 3:
3.1 Complete the following 昀氀owchart by calcula琀椀ng the unknown values, show all
calcula琀椀ons on your answer sheet.
(10)
3.1.3
3.1.1
3.1.2 3 x+ 2
3.1.4
3.1.5
3.2 Study the following table and give an equa琀椀on that represents the rela琀椀onship
between 𝑥 and 𝑦. Then determine the value of a and b using the equa琀椀on.
x 1 2 3 b (6)
y 3 5 a 9
[16]
QUESTION 4:
4.1 Study the straight line graph below.
4.1.1 Give the coordinates of the 𝑥 -intercept and the 𝑦 -intercept of the straight line (2)
4.1.2 Determine the equa琀椀on of the graph (2)
4.1.3 Give the gradient of the line that will intersect this graph perpendicularly. (1)
4.2 Complete the following table for the given equa琀椀on and draw the graph on the
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Cartesian plane below. Given: 𝑦 = -½ 𝑥 + 1
4.2.1 x -2 0 2 (6)
y
Coordinates
[11]
TOTAL: 50 MARKS
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PACALTSDORP HIGH SCHOOL
GRADE 9 MATHEMATICS CONTROL TEST SEPTEMBER 2023
FORMAL ASSESSMENT 6
MARKS: 50
TIME: 1H
EXAMINER: T. ARRIES
MODERATOR: A. POTGIETER
MEMORANDUM
SECTION B
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QUESTION 3:
3.1 Complete the following 昀氀owchart by calcula琀椀ng the unknown values, show all
calcula琀椀ons in your answer set.
(10)
3.1.3
3.1.1
3.1.2 3 x+ 2
3.1.4
3.1.5
3.1.1 . −10−2÷ 3=4 (one mark for the calcula琀椀ons, one mark for the answer)
3.1.2 .11−2 ÷ 3=3
3.1.3 .3 ( 8 ) +2=26
3.1.4 .3 ( 6 ) +2=20
3.1.5 .3 (−9 )+2=−25
3.2 Study the following table and give an equa琀椀on that represents the rela琀椀onship
between 𝑥 and 𝑦 . Then determine the value of a and b using the equa琀椀on.
x 1 2 3 b (6)
y 3 5 a 9
y=2 x +1(two points for the correct comparison)
(one mark for calcula琀椀ons, one mark for answer )
a: y=2 ( 3 ) +1 b:9=2 x +1
. y=6+1 −2 x=1−9
. y=7 x=4
.∴ a=7 ∴ b=4
[16]
QUESTION 4:
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4.1 Study the straight line graph below.
4.1.1 Give the coordinates of the 𝑥 -intercept and the 𝑦 -intercept of the straight line (2)
𝑥 -intercept 𝑦 -intercept
.(−2 ; 0) (0 ; 4)
(one mark for each correct coordinate)
4.1.2 Determine the equa琀椀on of the graph (2)
. y=2 x +4
(one mark for correct m value, one mark for correct m value)
4.1.3 Give the gradient of the line that will intersect this graph perpendicularly. (1)
.m1 × m2=−1
.−2 ×m2=−1
−1
.m2=
−2
1
. m2= (one mark for correct answer)
2
4.2 Complete the following table for the given equa琀椀on and draw the graph on the
Cartesian plane below. Given : 𝑦 = -½ 𝑥 + 1
4.2.1 x -2 0 2 (6)
y 2 1 0
Coordinates (−2 ; 2) (0;1) (2;0)
(one mark for each correct coordinate )
(one mark for each correct point plo琀琀ed on cartesian plane)
[11]
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TOTAL: 50 MARKS
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