# Mathematics Grade 9 Gauteng November 2016 Question Paper

> Grade 9 Mathematics question paper from the Gauteng November Exam 2016, 16 pages. Read online or get the free PDF download, memo linked when available.

- Page: https://www.hlayiso.com/library/2016-grade-9-maths-final-exam-gp/a744cb7a-c0e2-46a1-9624-8eae5e993344
- Updated: 2026-09-27
- Subject: Mathematics
- Grade: Grade 9
- Document type: Question paper
- Year: 2016
- Exam period: Gauteng November Exam
- Curriculum: CAPS
- Pages: 16

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## About this document

Mathematics · Grade 9 · Gauteng November Exam · 2016. Question paper, 16 pages. Read online or download the PDF.

Read it free online on the page above; download the PDF from there.

## Document text

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                testpapers.co.za

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MATHEMATICS 2
GRADE 9

GAUTENG DEPARTMENT OF EDUCATION
PROVINCIAL EXAMINATION

MATHEMATICS

MARKS: 120
TIME: 2 hours

INSTRUCTIONS AND INFORMATION

1. This question paper consists of SECTION A and SECTION B based on the prescribed content
framework in the CAPS document.

SECTION A:

QUESTION 1:

SECTION B:

QUESTION 2:
QUESTION 3:
QUESTION 4:
QUESTION 5:
QUESTION 6:
QUESTION 7:
QUESTION 8:

MULTIPLE-CHOICE QUESTIONS

Ten multiple-choice questions based on all five content areas
Answer this section on the answer sheet provided.

SEVEN QUESTIONS BASED ON FIVE CONTENT AREAS

Numbers, operations and relations
Patterns and algebra

Algebra

Functions

Space and shapes

Measurement

Data handling

2. Answer ALL questions from both SECTIONS.

3. Anon-programmable calculator may be used unless otherwise stated.

4. In SECTION A, circle the letter of the correct answer. If you change your decision cross out the
circled letter and circle your new choice

5. In SECTION B, show all necessary steps in your working unless otherwise stated.

6. | When answering questions, candidates must apply their knowledge, skills and insight.

7. | Number the answers correctly according to the numbering system used in this question paper.

8. Write neatly and legibly.

P.T.O.

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SECTION A

QUESTION 1

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MATHEMATICS

GRADE 9

ANSWER THIS QUESTION ON ANSWER SHEET A.

Circle the letter of the correct answer from the four possible answers.

1.

1.2

1.3

1.4

Which of the following numbers is a rational number?

A

B
Cc
D

Joa

0,141141114
Ve

1

Simplify 5,6+ 1,2 x3

A 9,2

B 20,4

Cc 41,6

D 204

The next term in the sequence 1;1;1; 4;1;951;...,is...
A 1.

B 16.

Cc 14.

D 10.

Complete the statement: The expression

G9 AW Pp

2x45 4x4] has

nA nN

(1)

(1)

()

... terms.

(1)

P.T.O.

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1.5

1.6

1.7

1.8

The value of x in the figure below is:

9 Aw YP

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124°

38°
56°
94°
90°

The value of x is:

A
B
Cc
D

The volume of the given prism is:

Oo Aw YP

70°
110°
30°
55°

x,

x
5x?cm>
5x?cm?
10x cm?

(2x + 5)cm?

142°

Scm

MATHEMATICS

GRADE 9

If the perimeter of a square is 20 cm, then the area of the square is equal to:

A

B
Cc
D

400 cm?
25 em?
5m?

100 cm?

(1)

(1)

(1)

(1)

P.T.O.

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MATHEMATICS 5
GRADE 9
1.9 The median of a set of data is the:
A Biggest number — smallest number
B Middle number
Cc Most common number
D Average of the data oo)

1.10 In how many ways can you arrange the four cards side by side as shown below?

BEG:

A 32
B 24
Cc 16 qd)
D 8
[10]
SECTION B
QUESTION 2
2.1 An amount of R15 000 is invested for 5 years at compound interest of 8% per annum.
2.1.1 What is the total value of the investment after 1 year? (2)
2.1.2 Calculate the total value of the investment after 5 years. (3)
2.2 Calculate /—64+(—3)° without using a calculator. (2)
: 3 1 1 .
2.3 A recipe needs 4 cups of sugar, | 3 cups of flour and a 3 cup of milk.
Write the ratio of the ingredients in the simplest form. (2)
2.4 A large truck uses 16,5 litres of diesel per 100 kilometres. Calculate how much diesel the truck
will need to travel 1 284 km. (3)
[12]

P.T.O.

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QUESTION 3

3.1

3.2 Is the following statement correct? Show by calculation to prove your answer.

MATHEMATICS

GRADE 9

Study the pattern below and answer the questions that follow.

5 B 8

Figure 1 Figure 2
a |

Figure 3

3.1.1 How many balls must be added to draw the next figure?

3.1.2 Draw and complete the table in your answer book.

Figure

1

4 5

Number of balls

5

(@)

(2)

3.1.3. Is the general rule 7, =3(n—1)+5 correct to determine the number of balls for any

figure in the pattern? Prove your answer by finding the general rule using the table above. (3)

(2x-1)? =4x? +1

QUESTION 4

4.1

4.2

4.3

Subtract 4x” —3 from —2(2x” —3x+5)
Simplify.

3
421 2 (4p 288 419)
12 6

4x° —2x(3x")

4.2.2 5
2x

Factorise fully.

x(at+ y)—-(y+a)

(2)
[8]

(3)

(3)

(3)

(2)

P.T.O.

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MATHEMATICS
GRADE 9
4.4 Solve the following equations.
44.1 2(x+2)-(x-3)=5 (4)
2x 2x 1
44.2 —+——= 5
xt] l-x x?-1 ©)
443 10° =0,0001 (2)
4.5 The sum of three consecutive even numbers is 78. Determine the three numbers. (5)
[27]
QUESTION 5
5.1 Determine the rule for the following flow diagram.
x y
4 -9
-/-—_. _
-3.0 -—> -——> | -7
5 | I 9
(2)
5.2 Calculate the gradient of a line through the points (0 ; 0) and (-2 ; -3).
4
4
3
2
4 1 >
3-2 1 2 3
-2
(-2 ; -3) -3
-4 (2)
5.3. The equation y—1=2(x-—2) defines a straight line graph.
5.3.1 Write down the y-intercept of the graph. qd)
5.3.2 Calculate the x-intercept of the graph. (3)
5.3.3 Draw the graph in your answer book. (2)

P.T.O.

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MATHEMATICS

GRADE 9

5.4 Study the graph below and answer the questions that follow.

y

5.4.1 Which of the two graphs, p or s has a positive gradient? Explain.

5.4.2. The equation of pis y=x+2.If p 1s andthe y— intercept of s is the point

(0 ; 5), determine the equation of s.

(2)

(2)
[14]

P.T.O.

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MATHEMATICS 9
GRADE 9
QUESTION 6
6.1 Determine with reasons, the sizes of angles a and b in the diagram below.
a
b
55° (4)
6.2 AB=BE and BF = FD. Prove that DC = BE.
B Cc
IN2
F
1
I 2
A , D E (4)
6.3 Study the diagram below and answer the questions that follow.
A
B 3cm . C
5,2 cm
4cm
~ 2N
E 7,50m D
6.3.1 Prove that AAED /// ADCB. (6)
6.3.2 Hence, find the length of AD. (4)

P.T.O.

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MATHEMATICS 10
GRADE 9

6.4 Draw the image of A S after a rotation of 90° anticlockwise about the origin O (0; 0).
Use ANSWER SHEET B to answer this question.

“\
Ls \
Zz
(3)
[21]
QUESTION 7
7.1 Study the prism below and answer the questions that follow.
B
3m
AD
7m E
4m
F
7.1.1 Find the length of BC. (4)
7.1.2 Draw the net of the prism in your answer book. d)
7.1.3 Calculate the surface area of the prism. (3)

P.T.O.

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MATHEMATICS "1
GRADE 9

7.2. A field, 480 000 m? is 160 m wide. What length of fencing is needed to fence it?

2
480 000 m’ 160 m

x (4)
7.3 Arectangular fish tank with an open top is shown below.

+m — 700cm ——— >

300 nf

4
sookm
7.3.1 Calculate the volume of the tank. (2)
7.3.2 How many litres of water do we need to fill the tank? (2)
[16]

QUESTION 8
8.1 A set of data below are marks obtained by Grade 9 learners in one of their Mathematics tests.

The test was out of 50 marks.

4, 12,16,8,16,24,32,12,24,36,48, 16,32, 48

8.1.1 Calculate the mean and median of the data. (3)

8.1.2 What is the mode? Qd)

8.1.3 Calculate the range. qd)

P.T.O.

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MATHEMATICS 12
GRADE 9

8.2 The chart below represents Sipho’s daily activities after school from Monday to Friday of
each week. He has seven hours daily to run all these activities.

Sipho’s after school activity schedule

14% « Extra Maths
lesson: 28%

« Sports: 29%

* Homework: 29%

« TV: 14%

29%

29%

8.2.1 On which activity does he spend the most of his time? How many hours does he
spend on this activity? (2)

8.2.2 On which activity does he spend the least time? How many hours does he spend on
this activity? (2)

8.3. Two red, one white and three blue marbles are put into a bag. If you put your hand once
into the bag without looking and pull out one marble, what is the probability of:

8.3.1 Pulling out a blue marble? (2)
8.3.2 Not pulling out a white marble? qd)
[12]
TOTAL: 120

END

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FORMULA SHEET

MATHEMATICS 13
GRADE 9

Simple Interest:

Compound Interest:

l= Prn
~ 100 A=P(1+i)"
A=P(1+in) r
A=P(1+—)"
( 100
A=P(1+—~)
100
Perimeter Area
Square 4(l) 1?
Rectangle 2(1+b) lxb
Circle 2ur mr?
il
Triangle (sl+s2+s3) 3P xLh
Parallelogram 2(b+1) bxLh
1
=(a+b)xXLh
Trapezium Sum of the 4 sides 2
a and b = parallel lines
Rhombus 4l bX1Lh
1
2(a+b) * x did,
Kite 2

a and b = length of equal
sides

d, and d, = diagonals

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MATHEMATICS 14
GRADE 9
ANSWER SHEET A
Name: Grade: 9
SECTION A
Marks:
10

Circle the letter of the correct answer. Submit this with your answer book.

Question Answer
1.1 A C D
1.2 A C D
1.3 A Cc D
1.4 A C D
1.5 A C D
1.6 A Cc D
1.7 A Cc D
1.8 A C D
1.9 A Cc D
1.10 A Cc D

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MATHEMATICS 15
GRADE 9

ANSWER SHEET B

NAME: GRADE: 9

QUESTION 6.4

ond

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