GR 9 Booklet PDF
GR 9 Booklet PDF
GR 9 Booklet PDF
Grade 9
Section 1
2. Table of contents for Grade 9 Workbook 1: Term 1 & 2 ................................. 3
3. Table of contents for Grade 9 Workbook 2: Term 3 & 4 ................................. 4
Section 2
4. Alignment of Workbook Activities to the Work Schedule .............................. 6
Section 3
5. Alignment of Exemplars and Previous ANA Papers to the Work Schedule .... 10
6. Exemplar 1........................................................................................................ 14
7. Exemplar 2........................................................................................................ 29
8. 2011 Exemplar.................................................................................................. 45
Section 4
Annexure 1: 2012 Exemplar Paper
Annexure 2: 2012 ANA Paper
Since Workbooks do not have a table of contents, Section 1 provides the table of contents
for the workbooks that will make it easy for you to use the alignment of workbooks to the
work schedule provided in Section 2.
Workbook activities may be used for both teaching and assessment.
Exemplars should be used for revision (NOT FOR TEACHING).
2012 Exemplar and 2012 ANA paper are appended to the document as annexures.
Workbooks
A general observation is that teachers encounter challenges with the use of workbooks.
The document thus suggests activities in the workbook that could be done for each topic.
The teacher should decide whether the activities should be used for teaching or they
should be used for consolidation of work done. In some activities, learners may do
selected questions. Activities not done during learning and teaching may be used for
revision.
It is highly recommended that work done in the workbooks should indicate dates on
which it was done. There should also be evidence that the teacher concerned monitors the
use of workbooks.
NB
To prepare for Grade 9 ANA, incorporate Term 4 work in Term 3 and Term 4 Algebra. Term 4 will thus be used for revision and consolidation
using selected activities in the workbook. Special focus in Term 4 could be on basics required for Grade 10 Mathematics.
NAME(S) PROVINCE
DATE OF BIRTH
SCHOOL NAME
DISTRICT /
EMIS NO. REGION
Instructions to learners:
1. Question 1 consists of 10 multiple choice questions. Learners must circle the letter of the
correct answer (see example below).
1
4. The test duration is 2 hours.
2
Example
Circle the letter of the correct answer.
2; 4; 6; 8; _____
a. 9
b. 10
c. 12
d. 20
1.2 3 2
x2 x3
=
3 3
x
A. x
B. x3
C. x6
D. x4
1.3 In the figure below, the rectangle within the circle, with centre O, is 8
centimetres long and 6 centimetres wide.
A. 10
B. 5
C. 14
D. 8
1.4 In the sketch the circle has a radius of 4 cm. What is the area in cm 2 of
the shaded part of this circle?
A. 16
B. 8 4 cm
4
C.
3
8
D.
3
A. S S S
B. 90 H S
C. S < S
D. < < S
1.6 The geometric shape on the left side of the solid line can be made to fit
onto the geometric shape on the right side of the solid line by
A. translation
B. enlargement
C. rotation
D. reflection
A. tetrahedron
B. octahedron
C. dodecahedron
D. icosahedron
A B
C D
If you grow this pattern further the next diagram will be:
A B
C D
A 2 B
1
2
D 1 C
A. B 1
B. B 2
C. D 1
D. D 2
[10]
2.1 Simplify:
2.1.1 2 x2 3 x 4 x2 2 x 6
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________________________________________________________________
________________________________________________________________
________________________________________________________________ (3)
2.1.2 4m 3 n 10mn 2
5m 4 n 3
________________________________________________________________
________________________________________________________________
________________________________________________________________
________________________________________________________________ (3)
2.2.1 2
12a 2 3a 6
3
________________________________________________________________
________________________________________________________________
________________________________________________________________
________________________________________________________________ (3)
2.2.2 a 4b a 2b
________________________________________________________________
________________________________________________________________ (3)
2.3.1 6k 12k 2 3k 3
________________________________________________________________
________________________________________________________________
________________________________________________________________
________________________________________________________________
(2)
2.3.2 16 y 2 49
________________________________________________________________
________________________________________________________________
________________________________________________________________
________________________________________________________________
(2)
2.3.3 3x 2 12
________________________________________________________________
________________________________________________________________
________________________________________________________________
________________________________________________________________
(3)
2.5.1 2 x 3 17 x
________________________________________________________________
________________________________________________________________
________________________________________________________________
________________________________________________________________
(2)
2.5.3 2 x 5 3 (x 5)
1
3 4
________________________________________________________________
________________________________________________________________
________________________________________________________________
________________________________________________________________
____________________________________________________
____________________________________________________
(5)
[37]
QUESTION 3
(5)
[9]
QUESTION 4
4.1 Write down the next two terms in the given sequence:
-1; 1; 3; .... ; ....
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
(2)
4.3 Write down the general term of the given sequence in the form
Tn =______________________.
(2)
[7]
a b c
Which of the above graphs represents:
5.2 Use the grid below. On the same system of axes draw and label the
graphs defined by:
(7)
y x 4, if x {-1, 0, 1, 2} and y 2x 4 , if
12
10
X
-14 -12 -10 -8 -6 -4 -2 2 4 6 8 10 12 14
0
-2
-4
-6
-8
-10
-12
[10]
CURRICULUM GET DIRECTORATE, HEAD OFFICE
Page 22
QUESTION 6
A J B
M K
D L C
(7)
6.1.5 Determine the value of t if the area of JKLM = t (the area of ABCD).
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___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
(5)
FE A = 3a
FC = 2a+20
GE =4a-32
3a 2a+20 4a-32
A D
E C
K H
2 1 1 2
B C E G
(6)
6.4 The dimensions of the Olympic swimming pool are shown in the following
diagram. The pool has a uniform depth.
50 m
25m
(2)
6.4.2 Calculate the depth of the Olympic pool. Write the answer in metres.
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
(4)
6.4.3 In 1996, Penny Heyns of South Africa broke the world record by
completing the 100 metre breaststroke in 1 minute and 7,02 seconds.
Calculate her average swimming speed in metres per second.
(Round off your answer to two decimal places).
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___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
(4)
6.4.4 The space around the pool is paved. The uniform width of the paving
is 2,5 metres. Calculate the area of the paving in square metres.
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
___________________________________________________________________
(6)
[53]
7.1 Lucy has two R50 notes, one R20 note, and three R10 notes in her
pocket.
7.1.1 She randomly takes out one of the notes from her pocket to buy
sweets. What is the probability of her taking out a R50 note?
________________________________________________________________
________________________________________________________________
________________________________________________________________
________________________________________________________________
(1)
7.1.2 She takes out a note, and then takes out another note. Draw a
tree diagram to illustrate the sequence of events.
________________________________________________________________
________________________________________________________________
________________________________________________________________
________________________________________________________________
________________________________________________________________
________________________________________________________________
________________________________________________________________
________________________________________________________________
________________________________________________________________
________________________________________________________________
________________________________________________________________
________________________________________________________________
________________________________________________________________
________________________________________________________________
(3)
7.2 The spinner below is spun twice in succession.
Purple Yellow
Black
7.2.1 What is the probability that the arrow will point to yellow after the
first spin and to black after the second spin?
__________________________________________________________________
__________________________________________________________________
__________________________________________________________________
__________________________________________________________________
(2)
[8]
QUESTION 8
8. The following scores are arranged in an ascending order, where y and z are
variables.
1; 3; 5; 5; y; 6; 6; z
8.1 1
If the median of the scores is 5 calculate the value of y.
2
__________________________________________________________________________
__________________________________________________________________________
__________________________________________________________________________
__________________________________________________________________________
__________________________________________________________________________
(2)
__________________________________________________________________________
__________________________________________________________________________
__________________________________________________________________________
__________________________________________________________________________
__________________________________________________________________________
__________________________________________________________________________
(3)
8.3 What is the mode of the scores?
__________________________________________________________________________
__________________________________________________________________________
(1)
[6]
Total [140]
NAME(S) PROVINCE
DATE OF BIRTH
SCHOOL NAME
DISTRICT /
EMIS NO. REGION
Instructions to learners:
5. Question 1 consists of 10 multiple choice questions. Learners must circle the letter of the
correct answer (see example below).
1
8. The test duration is 2 hours.
2
Example
Circle the letter of the correct answer.
f. 10
g. 12
h. 20
1.1 If 4 x 3 2x 1 0 then x
1
A. -3 or
2
1
B. 4 or
2
C. 0 or 3
D. 4 or -3
3
1.2 x4 x2
2
=
3
x
E. x3
F. x 4
G. x8
H. x 16
E. 3
F. 27
D C
G. 369
H. 9
1.4 A circle has a diameter of 6 cm. What is the area in cm 2 of one quarter
of the circle?
E. 36
F. 9
9
G.
4
9
H.
2
A
A. S S S
E. 90 H S
D E
F. S < S
G. < < S
C
B
1.6 If then the value of
E. -6
F. 6
G. -14
H. -8
1.7 The 3-D figure which has 5 faces, 5 vertices and 8 edges is a:
E. cylinder
F. triangular prism
G. square-based pyramid
H. triangular pyramid
A. 28 10 20
B. 2,8 10 18
C. 2,8 10 20
D. 0,28 10 18
How many dots will there be in the sixth dot array if this dot array is
continued?
A. 56
B. 36
C. 42
D. 30
P S
Q R
E. RQ S
F. PQ R
G. PR Q
H. SP R
[10]
2.1 Simplify:
2.1.1
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
(3)
2.1.2
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
(3)
2.1.3
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
(5)
2.2.1
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
(3)
2.2.2
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
(3)
2.3.1
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
(2)
2.3.2
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
(2)
2.3.3
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________ (3)
(4)
2.5.1
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
(3)
2.5.2
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
(3)
2.5.3
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________
_________________________________________________ (5)
[39]
3.1 Calculate the simple interest on R5 400 at 6% per annum for 4 years?
_______________________________________________________
_______________________________________________________
_______________________________________________________
_______________________________________________________
_______________________________________________________
_______________________________________________________
_______________________________________________________
_______________________________________________________
_______________________________________________________
_______________________________________________________
(4)
3.2 Mark borrowed R8 000 from the bank at 5% per annum compound
interest for 3 years. How much must he repay to the bank at the end
of 3 years?
_______________________________________________________
_______________________________________________________
_______________________________________________________
_______________________________________________________
_______________________________________________________
_______________________________________________________
_______________________________________________________
_______________________________________________________
_______________________________________________________
_______________________________________________________
(5)
3.3 The time taken by the different sets of pumps to empty a water tank is
given in the table below.
Number of pumps 20 10 5
Time in hours 2 4 8
(3)
[15]
QUESTION 4
4.1 Write down the next two terms in the given sequence:
5; 9; 13; ... ; ...
_______________________________________________________
_______________________________________________________
_______________________________________________________
(2)
4.3 Write down the general term of the given sequence in the form
Tn =________.
(2)
5.1 Use the graphs below to answer the questions that follow.
a b c
12
10
0 X
-14 -12 -10 -8 -6 -4 -2 2 4 6 8 10 12 14
-2
-4
-6
-8
-10
-12
[9]
2 1
1 2
B P C
A B
1
2
1
2
D C
6.3
A
B E
C D
B C
(3)
(8)
[38]
CURRICULUM GET DIRECTORATE, HEAD OFFICE
Page 42
QUESTION 6
38 52 68 81 72
31 45 55 74 49
52 47 64 58 84
(4)
(2)
6.2.2 The mode.
(2)
6.2.3 The median.
(2)
6.2.4 The mean.
(4)
6.3 How many learners obtained more than 55% for the test?
(2)
QUESTION 8
8. If the spinner below is rotated, determine the probability that the arrow
will point to:
8 1
7 2
6 3
5
4
(2)
8.3 A factor of 8.
(2)
[6]
Total [140]
NAME (S):__________________________________________________________
PROVINCE:________________________________________________________
I.D NUMBER:
EMIS NUMBER:
DISTRICT /REGION:
__________________________________________________
Instructions to learners:
1. Question 1 consists of 10 multiple questions. Learners must circle the letter of
the correct answer (see example below)
2. Learners must provide answers to questions 2 and 9 in the spaces provided.
3. Approved scientific calculators (non-programmable and non-graphical) may
be used.
4. The test duration is 2 hours.
Example
Write only the letter of the correct answer.e.g.1A
.
A. 33
B. 36
C. 49
D. 50
1.2 Which of the following numbers is a rational number?
A.
B.
C.
D.
1.3
A.
B. 9
C.
D. 3
1.4 The sum of a square root and the cube root of a certain number is12. The
Number is
A. 64
B. 144
C. 728
D. 8
B. 1
C.
D.
1.7
A.
B.
C.
D. 8
1.8 DEFG is a rhombus. DG = 17cm and EG= 30cm. Calculate the length of
DF.
D G
AAXM
T
E F
A.
B.
C.
D.
A. 70 A
B. 140 12
C. 110
1 2 1
D. 120 B C D E
2
A.
B.
C.
D.
[10]
QUESTION 2
2.1 Simplify:
2.1.1 (
(3)
2.1.2 (2)
2.1.3
(5)
2.1.4 without using a calculator
(5)
2.1.5 (3)
[40]
[07]
QUESTION 4
4.1 Write down the next two terms in the sequence
3; 8; 13; _______; _______;
(2)
4.2 Describe the pattern in QUESTION 4.1 in your own words.
(1)
4.3 Write down the general term of the given sequence in the form
=
______________________________________________________
(2)
4.4 Which term in the sequence is equal to 38?
(3)
[8]
QUESTION 5
5.1 Underline the word, number or equation in the bracket so that the statement
Is correct in each of the following:
[14]
QUESTION 6
P Q
S R
(1)
6.1.4 Calculate the area of QRT.
(3)
2 2
X 1 1
Y
A
. B Q
. RT V
(2)
6.3.2
1 2
O
1 2
A T B
A and B are points on a circle with centre O. T is the mid-point of chord AB.
7.1 Write down the co-ordinates of the image of D and E if figure P is translated
3 units to the right and 2units down.
(2)
7.2 Write down the co-ordinates of the image of A and B if figure P is reflected in
the Y-axis.
(2)
7.3 Figure P is reduced by a scale factor of 2. Calculate the perimeter of the new
figure.
(2)
7.4 Complete: Area of figure P: Area of reduced figure =
(2)
QUESTION 8
8.1 A rectangular volleyball court DEFG is 9m wide and 18m long. Calculate the
length of the diagonal FD correct to 2 decimal places.
(3)
8.2 The diameter of a cylinder is 6cm and its height is 20cm.
Calculate:
CURRICULUM GET DIRECTORATE, HEAD OFFICE
Page 52
8.2.1 The volume correct to 2 decimal places.
(3)
8. 2.2 The surface area of the cylinder correct to 2 decimal places.
(3)
[9]
QUESTION 9
9.1 The following marks were obtained by a Grade 9 class for a Mathematics test
Out of 50.
14 21 29 32 36 43
41 17 43 31 38 35
32 29 27 23 36 25
22 26 40 28 47 30
24 46 25 44 42 39
1 10
11 20
21 30
31 40
41 50
(4)
9.2.1 Write down the range and the median for the boys.
_________________________________________________________
(2)
9.2.2 Write down the mode (modal size) for the girls.
(1)
9.2.3 Calculate the mean for the girls.
_________________________________________________________
(2)
[13]
Total [140]