# Mathematics Grade 9 ANA 2014 Question Paper (English)

> Grade 9 Mathematics question paper from the ANA 2014 (English), 24 pages. Read online or get the free PDF download, memo linked when available.

- Page: https://www.hlayiso.com/library/2014-ana-grade-9-english-mathematics/88e0d30c-1d92-4669-b626-9fdb5c365b14
- Updated: 2026-09-27
- Subject: Mathematics
- Grade: Grade 9
- Language: English
- Document type: Question paper
- Year: 2014
- Exam period: ANA
- Curriculum: CAPS
- Pages: 24

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## About this document

Mathematics · Grade 9 · ANA · 2014 · English. Question paper, 24 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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basic education

Department:

Basic Education
REPUBLIC OF SOUTH AFRICA MARKS

ANNUAL NATIONAL ASSESSMENT 2014
GRADE 9 MATHEMATICS
TEST
MARKS: 140

TIME: 2+ hours

PROVINCE

DISTRICT

SCHOOL NAME

EMIS NUMBER (9 digits)

CLASS (e.g. 9A)

SURNAME

NAME

GENDER (Vv) BOY GIRL

DATE OF BIRTH

This test consists of 21 pages, excluding the cover page.

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Instructions to the learner

Noa PP w

. Read all the instructions carefully.

Question 1 consists of 10 multiple-choice questions. You must circle the letter of the
correct answer.

Answer Questions 2 - 12 in the spaces provided.

All working must be shown.

Give a reason for each of your statements in Question 9 and Question 10.

The test is out of 140 marks.

The test duration is 22 hours.

8. The teacher will lead you through the practice question before you start the test.

9. Approved scientific calculators (non-programmable and non-graphical) may be used

except in Question 2.2 and Question 12.

Practice question

Circle the letter of the correct answer.

1.

The next number in the sequence 3; 6; 11; 18; ... is

A 25
B 24
Cc 26
D 27

You have done it correctly if you circled ©.

The test starts on the next page.

Grade 9 Mathematics Test 1

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QUESTION 1

1.1 Vi6x!é =...
A 8x8
B 8x4
Cc 4x4
D 4x8

1.2 The LCM of 5a? and 60a? is ...

A 60a°
B 30a°
Cc 60a?
D 300a®

1.3 The product of a number and 6 decreased by 4 is equal to 20. Which of the following

equations matches the statement?

A 6x+4=20
B 6x —4= 20
Cc 6(x +4) = 20
D 6— 4x =20

Grade 9 Mathematics Test 2

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1.4 The value of —x? — 2(2x — 1) when x = —2is ...

A 6
B 1
C —6
D -1

1.5 What is the value of @? ?

A —6
9
5

B =
6

C 8
27

D 27
8

1.6 (a+b)y?=

A at+b

B 2

Cc 1

D 0

1.7 What is the value of x if 3* = =?

A -3
B 3
Cc —2
D 2

Grade 9 Mathematics Test 3

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1.8 *_4=
y
A y7*
x
B y7*
y
Cc x-y
D x7y
y
1.9 If 3 is a root of the equation x? + x+t=0 the value of tis...
A 12
B —12
Cc a
12
D a
12

1.10 If T is a point on the line defined by y = x, the co-ordinates of T are ...

A (5; -5)
B (5; 0)

c (-5; 5)
D (-5; -5)

[10]

Grade 9 Mathematics Test 4

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QUESTION 2

2.1 Write 0,000 000 207 mm’? in scientific notation.

2.2 Calculate without using a calculator. Show in each case all the calculation

steps.

2.2.1 73-3

2.2.2 Between which two consecutive integers does ¥110 lie?

2.2.3 3x5?
57

2.3 Calculate leaving the answer in decimal form.
1,03 x 10°? + 3,8 x 10%

Grade 9 Mathematics Test 5

(1)

(2)

(2)

(2)

(2)
[9]

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QUESTION 3

Simplify each of the following expressions. The denominators in the fractions are
not equal to zero.

3.1 2(x+2)?—(2x-1)(x +2)

3.2 15x*y3+9x7y3
8x73

(2)

3.3 x? — 4x

x?-—2x-8

(3)

Grade 9 Mathematics Test 6

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3.4 x? 2x 7x?
2 3 6

(3)
3.5 6x? 3y3
7xy ra
(2)
[14]
QUESTION 4
Factorise fully:
4.1 3x*y—9xy? + 12x3y3
(2)
42 2(x+y)-t(x+y)
(2)
4.3 4x?-y?
(2)
44 x?-11x+18
(2)

[8]

Grade 9 Mathematics Test 7

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QUESTION 5
Solve for x:

5.1 (x«-—2)?4+3x-2=(x+3)*

(4)

5.2 x?—5x—-6=0

x+2 x-3
5.3 _ =0

[9]

Grade 9 Mathematics Test 8

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QUESTION 6

6.1 Complete the table below:

Position in 1 2 3 4 5
pattern (2)
Term 1 8 27

6.2 Write down the general term T,, of the above number pattern.

6.3 If T,, = 512, determine the value of 7.

Grade 9 Mathematics Test 9

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QUESTION 7

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Study the graph below.

wn

5

-4

3

-2

-1

-2

3

-4

7.1 Use the graph to calculate the gradient of the straight line.

Grade 9 Mathematics Test

10

(3)

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7.2 Determine the equation of the straight line.

(2)

7.3 Write down the gradient of any other straight line which can be drawn parallel
to the given line.

[6]
QUESTION 8
8.1 Decrease 240 kg by 15%.

(2)
8.2 Nthabi’s car uses 1 litre of fuel to travel 12 km . How much fuel will be needed

to travel 420 km?

(2)

Grade 9 Mathematics Test 11

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8.3 There are 44 boys and girls in Mary’s class. The ratio of the number of boys
to the number of girls is 5:6. How many boys are there in Mary’s class?

(3)
8.4 Study the table below.
The length ofa side ofa 2 3 4
square in cm
Area of the square in cm? 4 9 16
Is this an example of a direct or an indirect proportion? Give a reason for
your answer.
(2)
8.5 Calculate how long it will take for an investment of R4 000 at 3% per annum
simple interest to earn an interest of R840.
(6)
8.6 Calculate the final amount that | will have in my savings account if | invest
R600 for 2 years at a rate of 6% per annum compound interest.
(4)
[19]

Grade 9 Mathematics Test 12

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QUESTION 9
9.1 Complete each of the following statements:

9.1.1. D and F are complementary angles if

9.1.2 The sum of the interior angles of a triangle is equal to

9.1.3. The sum of the exterior angles of any polygon is equal to

9.1.4 A trapezium is a quadrilateral with one pair of sides.
9.1.5 The diagonals of a rectangle are in length.
9.2 A t

v

In the figure above, AB|| TC, C, = 65° and C, = 43°. Calculate the size of A, B,
and B,.

Statement Reason

Grade 9 Mathematics Test 13

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9.3 B

A

In AABC, AB = AC and € = x°. Determine the size of A in terms of x.

Statement Reason

(3)

[11]

QUESTION 10

10.1 F

Q R B D
Which triangle is congruent to APQR?

Statement Reason

(2)

Grade 9 Mathematics Test 14

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10.2 In the given figure, P and T are points on a circle with centre M. N is a point

on achord PT such that MN 1 PT.

PLO Ns

NY

Prove that PN = NT.

Statement

Reason

Grade 9 Mathematics Test

15

(8)

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10.3

B

In the above diagram, AC = DF, AB = DE and BF = CE.

10.3.1 Prove that BC = EF.

Statement Reason

(2)

10.3.2 Prove that AABC = ADEF.

Statement Reason

(5)

Grade 9 Mathematics Test 16

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10.3.3 Why is B = £?

Statement Reason
B=E
10.3.4 What is the relationship between AB and ED?
Statement Reason

Grade 9 Mathematics Test

17

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10.4

In the figure, 8 = C, AD = 9 cm, AE =7 cmand CE = 21cm.

10.4.1 Prove that AABD |j| AACE.

Statement Reason

(6)

10.4.2 Calculate the length of BD.

Statement Reason

Grade 9 Mathematics Test 18

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QUESTION 11
A 12cm D
5cm
CO
B 3cm T c

In parallelogram ABCD, AB =5 cm, AD = 12 cm, BT = 3 cmand AT 1 BC.

11.1 Calculate the length of AT.

(3)

11.2 Calculate

11.2.1. the perimeter of trapezium ADCT.

(1)

11.2.2 the area of trapezium ADCT.

(3)

Grade 9 Mathematics Test 19

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11.3 The circumference of a circle is 52 cm. Calculate the area of the circle
correct to 2 decimal places.

(4)

11.4 The length of a rectangle is doubled. Write down the value of k if the area of
the enlarged rectangle = k x the area of the original rectangle.

[12]

Grade 9 Mathematics Test 20

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QUESTION 12

Solve for x without using a calculator. Show the calculation steps.

12.1 x=(V¥8+ v2)?

(3)

12.2

i]
WwW

(3)

TOTAL: 140

Grade 9 Mathematics Test 21

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