# Mathematics Grade 9 P2 Free State November 2025 Paper & Memo

> Grade 9 Mathematics Paper 2 question paper and memo from the Free State November Exam 2025, 35 pages. Read online or get the free PDF download.

- Page: https://www.hlayiso.com/library/fs-maths-grade-9-mock-november-2025-p2-and-memo/411ff601-2320-4073-a074-74427663bad7
- Updated: 2026-09-27
- Subject: Mathematics
- Grade: Grade 9
- Document type: Question paper and memo
- Year: 2025
- Exam period: Free State November Exam
- Paper: 2
- Curriculum: CAPS
- Pages: 35

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## About this document

Mathematics · Grade 9 · Free State November Exam · 2025. Question paper and memorandum, 35 pages. Read online or download the PDF.

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

## Document text

Text extracted from the PDF. Layout, diagrams and tables may not survive extraction.

### Page 1

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Mathematics Paper 2 Mock

education

Department of
Education

FREE STATE PROVINCE

ees — —

=
:

———— eK a a Se SES Eee ere eR ET

MATHEMATICS PAPER 2

MOCK NOVEMBER/DECEMBER
TEST 2025

wee ee ee ee ee eS eS ee a ee eee — — — — =

MARKS: 75

TIME: 15 Hours

1|Page

ae Sea See

### Page 2

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Mathematics Paper 2 Mock

INSTRUCTION AND INFORMATION TO LEARNERS

Read the following instructions carefully before answering the questions.

ds Answer ALL the questions.

Bi Clearly show ALL calculations.

3. Answer ONLY will not necessarily be awarded full marks.

4. You may use an approved scientific calculator (non-programmable and non-graphical)

unless stated otherwise.

If necessary, round answers off to TWO decimal places, unless stated otherwise.
Write neatly and legibly.

ALL diagrams or figures are NOT drawn to scale.

Answer ALL questions’on the question paper.

© PN wo

Circle ONLY the letter for the CORRECT ANSWER, e.g. If the correct answer

in 1, is D, you should only circle

### Page 3

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Mathematics Paper 2 Mock

QUESTION 1

Circle ONLY the letter for the CORRECT ANSWER, e.g. If the correct answer in 1, is D,

you should only circle

1. Which line is perpendicular? (1)
E F
B
70° /209
450 45°
A D é
A ED 1. AD ™
B ED + FD : |
c ED 1 CD - —_
D ED BD
2: What is the size of NSR? (1)
Q P
y 0
L . au >M
bs
N R
A 100°
B 80°
c 40°
D 20°

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Mathematics Paper 2 Mock

3. What is the relationship between 21 and 22? (1)

A Adj. supplementary 2S
B Adj. on the straight line
c Co-interior Zs, AB||CD
D Complementary Zs

4. What is the value of m? (1)

A D

68° 469N Ff / im

44°
46°

68°

0 oOo WD PY

66°

### Page 5

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Mathematics Paper 2 Mock

5. What is the length of QP? (1)

Q P D E

po 40 cm
50cm 50 cm

R F
30cm
40 cm
50cm

60 cm

oa 0 oOo WD D>

PQRS us a rhombus. Which of the following statement is CORRECT? (1)

Q R

APQT = APST
APTR = AQTS

AQTS = APST

0 ao WwW PY

APTR = APST

### Page 6

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Mathematics Paper 2 Mock

fe

oo oOo WD PF

50 ao WwW YD

ABCE is a parallelogram with C = 90°. Calculate, with reasons, the size of
oy

ze E
2
7m
B C D
16° a a
105° a
32° |
45°

In a quadrilateral, each of two angles has a measure of 115°. If the measure
of a third angle is 70°. What is the measure of the remaining angles?

60°
70°
130°

140°

What is the value of x if AB|| CD?

(1)

(1)

(1)

### Page 7

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Mathematics Paper 2 Mock

E
108°
G D
/ \
L
A 108°
B 104°
c 54° =
D 52° bes
10. What is the size of m?- eS |
m
58° y+45°
2
\
%,

A 113°
B 106°
c 87°
D 58°

QUESTION 2

Nov/ Dec 2025

[10]

### Page 8

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Mathematics Paper 2 Mock

2.1 In the diagram below, AB is perpendicular to BC and ABD = 60°. Calculate,
with reasons, the value of an angle indicated by the small letter (m) in the
diagram.

A
A
D
anorepig.
B "c
Statement ‘eason

2.2 Calculate the value of the unknown angles indicated by small letter.(x)

Statement 0 ison —

(2)

(3)

### Page 9

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Mathematics Paper 2 Mock

2.3 AB and CD are straight lines cut by transversal ST. Calculate, with reasons, (3)
the value of x and hence show that AB|| CD.

Statement

### Page 10

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Mathematics Paper 2 Mock

2.4 Calculate, with reasons, the values of an angle indicated by the small letter. (10)
NB! You should NOT repeat the reasons. Answers must be in
alphabetically order.

7 \ \._,

120° 110°

Statement Reason

[18]

### Page 11

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Mathematics Paper 2 Mock

QUESTION 3

3.4. In. AABC, calculate, with reasons:

A

(4)

3.1.2 The length of AC (1)

### Page 12

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Mathematics Paper 2 Mock

3.2. AABC = AEDC, BCD and ACE are staright lines. Find the unknown angle and
side marked in the diagram

a

Statement

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Mathematics Paper 2 Mock

3.3 In the diagram below, DE||AC, BD= 4, DA = 8 and BE = 8.

fava oe =

ine } ¥

pif

3.3.1 (5)

Statement

3.3.2 Find the length of EC. (5)

### Page 14

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Mathematics Paper 2 Mock

3.4 PQRS is a parallelogram. PQ = QT = TRand PT =8 cm.

S P

3.4.1 Calculate Q (2)

Statement

3.4.2 Calculate R (2)

Statement Reason

3.4.3 Calculate S

Statement Reason

### Page 15

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Mathematics Paper 2 Mock
3.5. Consider APQS and ARSQ. Prove that APQS = ARSQ

en

Nov/ Dec 2025

Statement

(5)

[30]

### Page 16

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Mathematics Paper 2 Mock

QUESTION 4

414 ABCD is a rectangle with D, = 32°,AB =BE=5cm

A D

32°

Ld f
4.1.1 Find the length of the unknown side DC.

-

Statement

4.1.2 Calculate the value of the unknown E;

Statement Reason

(1)

(1

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Mathematics Paper 2 Mock

4.2. Atriangular prism is given.

14cm

4.2.1 Find the length of AC.

Nov/ Dec 2025

Statement

Reason

4.2.1 Calculate the surface area of the triangular prism.

(1)

(2)

### Page 18

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Mathematics Paper 2 Mock

4.3. PQRS is a rectangle of length (2x — 1) cm and width (x + 2) cm. Ifasquare (4)
- of side 6 cm is cut from the corner P, show that the area of the shaded
“region is (2x? + 3x — 38) cm

(x + 3)cm

Q

[9]

### Page 19

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Mathematics Paper 2 Mock

QUESTION 5

5.1 Study the diagram, NOT drawn to scale below. At the left of this shape is a
semicircle with diameter of 4 cm.

4cm
80m 6cm
5.1.1 Convert mm to cm |
5.1.2 Determine the perimeter of the shape

Statement Reason

(5)

### Page 20

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Mathematics Paper 2 Mock

15.13 The total area of the shape

5.2 Study the diagram below and calculate, correct to two decimal places where
necessary the area of the shaded region. [Hint: h = 6 cm|

12cm

(3)

### Page 21

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Mathematics Paper 2 Mock

Nov/ Dec 2025

TOTAL

[75]

[8]

### Page 22

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Mathematics Mock Marking Guideline

QUESTION 1

ais
iw}

+ A SOS

o ON DOD oO FF WwW DN
000 > > >O.> >
a

=
°
<

QUESTION 1

(1)
(1)
(1)
(1)
(1)
(1)
(1)
(1)
(1)
(1)

TOTAL [10]

2.1 In the diagram below, AB is perpendicular to BC and ABD = 60°. Calculate, with
reasons, the value of an angle indicated by the small letter (m) in the diagram.

A
ry

| 60°

m

m = 30° ¥ Compl. Zs ¥ Statement: 1 mark
Reason: 1 mark

(2)

### Page 23

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Mathematics Mock Marking Guideline

2:2 Calculate the value of the unknown angles indicated by small letter.(2)

Statement: 1 mark
Reason: 1 mark
Answer: 1 mark

0979
= 200 278°

2
= 419 #

2.3. ABand CD are straight line:
value of x and hence show that AB|| CD.

i 5x + 70°
A B

E\2x + 5°

versal ST. Calculate, with reasons, the

3x—410

C R. D

T

2x +59 = 3x-10°Y Alt. 2s AB|] CD. ~

2 = 159°
OR Statement: 1 mark
— - Reason: 1 mark
yoy Adj. suppl Zs ¥ Answer: 1 mark

ox=159 Vv

(3)

(3)

### Page 24

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Mathematics Mock Marking Guideline

2.4 Calculate, with reasons, the values of an angle indicated by the small letter. NB! You
should NOT repeat the reasons. Answers must be in alphabetically order.

I B
D
k= 50° W alt. 2s AB|| CD. ~ Statement: 1 mark
Reason: 1 mark (10)

1 = 180° — 120° co-int. 2s AB|| CD. Statement: 1 mark
=eor Reason: 1 mark

m = 110° ¥ corres. ZsAB||CD. ¥ Statement: 1 mark
Reason: 1 mark

n= 110° vert.opp Zs ¥ Statement: 1 mark
= Reason: 1 mark

0= 70 ¥ adj. suppl 2s ¥” Statement: 1 mark

Reason: 1 mark

Here, the examiner wanted to check whether the learners understand all
REASONING used in angles relationships with parallel line (XFUN)

### Page 25

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Mathematics Mock Marking Guideline

QUESTION 3

3.1 In AABC, calculate, with reasons:

3.1.1. The size of x /an size of the interior angles.

180°—20° i A or S
xetvy 1 iw Statement: 2 marks

Reason: 1 mark
Answer: 1 mark

=20° ¥

3.1.2 The length of AC

B=x+10° € = 2x — 10° A=5x+20°
= 20° + 10° = 2(20°) — 10° = 5(20°) + 20°
= 30° = 30° = 120°

Statement & reason: (1)

The length of IsoscelesA ¥ 41 mark
AC = 20cm

### Page 26

3.2

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Mathematics Mock Marking Guideline

Nov/Dec 2025

AABC = AEDC, BCD and ACE are staright lines. Find the unknown angle and side

marked in the diagram

AABC = AEDC ¥
= 359°V
Since SAS ¥
ED = AB
“c=2cmv

Statement: 1 mark
Reason: 1 mark
Answer: 1 mark
Reason: 1 mark
Answer: 1 mark

(5)

### Page 27

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Mathematics Mock Marking Guideline

3.3 In the diagram below, DE||AC, BD= 4, DA = 8 and BE = 8.

In ABAC and ABDE

BAC = BDE ¥

Statement: 1 mark (5)
a a Reason: 1 mark
ACB = BED ¥ Statement: 1 mark
Reason: 1 mark
«» ABAC || ABDE AA ¥ Condition: 1 mark

Similarly ABC = DBE | Common

3.3.2 Find the length of EC

BE BD Prop: 2 mark

EC DA om Re Subst: 1 mark
Simpl: 1 mark
Answer: 1 mark

Baty

EC 8

EC = 8x8 /

### Page 28

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Mathematics Mock Marking Guideline

3.4 PQRS is a parallelogram. PQ = QT = TRand PT =8cm.

3.4.1. Calculate Q

Statement: 1 mark (2)
Reason: 1 mark

3.4.2 Calculate R

Co-int Zs PQ|ISR  v Statement: 1 mark (2)

Reason: 1 mark

3.4.3

S= 60° V¥ Opp Zs of parm v

Statement: 1 mark (2)
Reason: 1 mark

### Page 29

3.5

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Mathematics Mock Marking Guideline

Q

In APQS and ARSQ

Consider APQS and ARSQ. Prove that APQS = ARSQ

mo ite

8, =Q,¥ given ¥
Qs=saq Common side
. APQS = ARSQ SAS ¥%

Nov/Dec 2025

Statement: 1 mark
Reason: 1 mark
Statement: 1 mark
Reason: 1 mark
Condition: 1 mark

(5)

[30]

### Page 30

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Mathematics Mock Marking Guideline
QUESTION 4

41 ABCD is a rectangle with D, = 32°, AB = BE =5cm

A D

4.1.1

bk Fr olf tangle are= v Statement & Reason: 1
ba timorephysics.com mark

4.1.2 Calculate the value of the unknown E;

E, = 58° ZssumofA/int Zsofad ¥

Statement & Reason: 1
mark

(1)

(1)

### Page 31

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Mathematics Mock Marking Guideline

42 A " _ is given.

14cm

4.2.1 Find the length of AC

6 10 cm
10cm
6cm| 8cm
§ z g §
= + s =
6cm 8 cm 10cm
6cm

10 cm

### Page 32

4.3

®ownloaded from Stanmorephysics.com Nov/Dec 2025
Mathematics Mock Marking Guideline

— ah Pythagoras Length of AC: 1 mark (1)
= +7100
‘AC? = 10cm
AC=10cm ¥

4.2.2 Calculate the surface area of the triangular prism.

Area of AABC = 5(8 cm)(6 cm) = 24 cm?
Area of ADEF = 5(8 cm)(6 cm) = 24 cm?

Area of ACFD = (14 cm)

Calculation: 1 mark (2)

Surface area of triangulai Answer. face

= 244+ 24+ 112+ 84
= 384cm? Vv

PQRS is a rectangle of length (2x — 1) cm and width (x + 2) cm. If a square of side 6 cm is
cut from the corner P, show that the area of the shaded region is (2x? + 3x — 38) cm

6 (x + 3)cm Q

(2x —1)cm

Ss R

Area shaded region = area of rectangle — area of square
= (2x-1)(x+2)-(6x6) ¥ Vv Sust: 2 marks
= 2x? +3x-2-36 ¥ Simpl: 1 mark (4)
5 Answer: 1 mark
= (2x2 4+3x-—38)cm Vv

19]

### Page 33

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Mathematics Mock Marking Guideline

QUESTION 5

5.1 Study the diagram, NOT drawn to scale below. At the left of this shape is a
semicircle with diameter of 4 cm.

5.1.1

Convert mm to cm

Convert 80 mm to cm
80mm +10 =8cmv¥ Conv: 1 mark

5.1.2 Determine the perimeter of the shape

4cm

xcm

80 m 6cm

Value of x: 1 mark

Length of the rectangle Pythagoras ¥
x=10cm

(1)

(1)

### Page 34

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Mathematics Mock Marking Guideline

The arc of the semicircle has a length of:

SAG: x4) =2mcm

Perimeter = 27 +10+4 +6+8

= 34,28cm V¥

5.1.3 The total area of the shape

Area of the right— angled triangle (A)

=5(8 x 6) = 24cm?

= 2m cm”

Total area of the shape = 24+40+2n v

=70,28cm2 ¥

Nov/Dec 2025

Perimeter: 1 mark

Total area: 2 mark

(1)

(2)

### Page 35

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Mathematics Mock Marking Guideline

5.2 Study the diagram below and calculate, correct to two decimal places where
necessary the area of the shaded region. [Hint: h = 6 cm]

12cm

Area of 2 As = ai(5 4 24 em: 1 mark (3)
48 cm*: 1 mark
Area of rectangle = 1 .
Area of the shaded regio Acm2 v¥ Total area: 1 mark
[9]

Total [75]

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