GROOTE SCHUUR HIGH SCHOOL
Subject
: Mathematics
Examiner
: CHA
Grade
:9
Moderator
: SOL
Date
: 6 April 2022
Other Educators : AND,JAN,MGE,SIB
Total
: 50
Faculty head
Time
: 1 hour
Paper signed off
Assessment : Control Test
: JBR
by Faculty Head
:
__________________________________________________________________________
Instructions
1.
This paper consists of 6 questions. Answer all the questions.
2.
Show all your calculations. Answers only may not necessarily be awarded full marks.
3.
You may use a non-programmable calculator.
4.
Write neatly and legibly.
5.
Draw a line between each question.
6.
Do not change the numbering of the questions.
7.
Use blue or black ink only. Lead pencil answers will not be marked.
Question 1
1.1 Choose from the numbers in the set below: {√−4 ;
−12
0
3
; √8 ; √5 ; 3𝜋}
1.1.1 a non-real number
(1)
1.1.2 a rational number
(1)
1.1.3 an irrational number
(1)
1.1.4 an undefined number
1.2
(1)
Find the HCF and LCM of 32 and 48
(4)
[8]
Question 2
2.1 A bag contains 360 balls of which
2.1.1 Write
9
20
9
20
are blue, 0,325 are green and 20% are red.
as
(a) a decimal fraction
(b) a percentage
2.1.2 If
4
9
of the remaining balls are white, calculate the number of white
balls in the bag.
(1)
(1)
(4)
[6]
Question 3
3.1 Formula: 𝐀 = 𝐏(𝟏 + 𝐢)𝐧
𝐀 = 𝐏(𝟏 + 𝐢. 𝐧)
Bongani wants to invest R12 000 for a period of 7 years. He has one of
the following options:
3.1.1
14% per annum simple interest.
3.1.2
12% per annum compound interest
(2)
Which investment option will be the better one?
(3)
3.2 A sponsor divides R750 000 in the ratio 15 : 25 : 35 amongst teams A, B
and C.
3.2.1
Simplify the ratio.
(1)
3.2.2
Calculate the amount allocated to each team.
(3)
3.3
A farmer plants 5 peach trees in 25 minutes. If he continues to plant at the
same rate, how long will it take him to plant 200 peach trees?
(3)
[12]
Question 4
Simplify the following, leaving your answers in exponential form
4.1 𝑥 7 × 𝑥 8
(1)
4.2 𝑎10 ÷ 𝑎4
(1)
4.3 (𝑥 2 𝑦 4 )5
(2)
Simplify the following expressions fully :
0
4.4 4(10𝑎𝑏)
4.5
4.6
4
5𝑎−3 𝑏
−4
× (5𝑎2 𝑏 )
−2
(1)
14𝑥 5 𝑦 3
(4)
7𝑥 3 𝑦7
(3)
[12]
Question 5
Simplify the following without using a calculator ( show all steps)
5.1
5.2
3
5
3
7
÷2
(3)
3
5
2
1
5
2
− +
(3)
[6]
Question 6
Solve for 𝑥:
6.1
5𝑥−3 = 25
(3)
6.2
3𝑥+2 = 1
(3)
[6]
Total [50]