# Mathematics Grade 9 P2 Free State November 2022 QP

> Grade 9 Mathematics Paper 2 question paper from the Free State November Exam 2022, 14 pages. Read online or download the free PDF.

- Page: https://www.hlayiso.com/library/grade-9-mathematics-2022-free-state-november-exam-question-paper-paper-2/a8c4c57b-5b57-4587-b8b5-cd1ceb0d9f66
- Updated: 2026-09-28
- Subject: Mathematics
- Grade: Grade 9
- Document type: Question paper
- Year: 2022
- Exam period: Free State November Exam
- Paper: 2
- Curriculum: CAPS
- Pages: 14

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## About this document

Mathematics · Grade 9 · Free State November Exam · 2022. Question paper, 14 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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### Page 1

GRADE 9

MATHEMATICS PAPER 2

    NOVEMBER 2022

TIME: 1 HOUR 30 MINUTES

           TOTAL: 60

    This question paper consists of 14 pages.

### Page 2

Grade 9                                                             FS/ November 2022
Mathematics Paper 2

 INSTRUCTIONS AND INFORMATION

 Read the instructions carefully.

 1.       Answer ALL the questions.

 2.       Write neatly and legible.

 3.       Number your answers exactly as questions are numbered.

 4.       Give reasons for each statement in QUESTION 1 to QUESTION 3.

 5.       Show ALL working.

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

 7.       Diagrams are NOT necessarily drawn to scale.

 Copyright reserved                     Page 2 of 14                Please turn over

### Page 3

Grade 9                                                                FS/ November 2022
Mathematics Paper 2

 QUESTION 1

 1.1      In the diagram FG ⟂ GH. Find the value of 𝑥                                      (3)

                                                         G
                           H         ሺ2𝑥 − 9ሻ0

                                                 𝑥

                                                     F
                          Statement                                 Reason

 1.2                                                   ̂G = 2𝑝 + 300 . Calculate the
                                         m = 1100 and CE
          In the diagram below, AB ‖ CD, ̂                                                 (3)
          size of 𝑝.
                                                         H

                      A                              F          B
                                             𝑚

                      C                                         D
                               2𝑝 + 30   0   E

                                         G
                          Statement                                 Reason

 Copyright reserved                              Page 3 of 14          Please turn over

### Page 4

Grade 9                                                                          FS/ November 2022
Mathematics Paper 2

 1.3      Determine the value of a and b in alphabetical order. All reasons must be given            (4)

          1.3.1
                                                                U
                                                Q    800

                                                     𝑎

                                                            𝑏       1200
                               S                                                  V
                                      600                           R

                                            T

                                   Statement                               Reason

          1.3.2       Determine the value of the variable in the diagrams Give reasons for           (3)
                      your.
                                        A       0
                                                                        B
                                                    105

                                                a
                                       C                                   D

                                       E
                                    Statement                                  Reason

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### Page 5

Grade 9                                                                   FS/ November 2022
Mathematics Paper 2

          1.3.3       Determine the value of the variable in the diagrams Give reasons for    (2)
                      your statements

                         E                                           F
                                          1060

                                                       𝑥
                              G                                     H

                             Statement                               Reason

          1.3.4       Determine the value of the variable in the diagrams Give reasons for    (2)
                      your statements

                                                   𝑎

                                             430

                             Statement                               Reason

                                                                                              [17]

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### Page 6

Grade 9                                                               FS/ November 2022
Mathematics Paper 2

 QUESTION 2

 2.       Determine the value of 𝑥. All reasons must be given
                                                                                          (4)
 2.1
                                                        𝑦
                                                            380

                                                𝑥

                        Statement                                 Reason

 2.2      The quadrilateral below is a square. Determine the value of 𝑥 and 𝑦 in          (4)
          alphabetical order. All reasons must be given.

                                    𝑦

                                            𝑥

                        Statement                                 Reason

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### Page 7

Grade 9                                                                FS/ November 2022
Mathematics Paper 2

 QUESTION 3

 3.1      Give one minimum condition for congruent triangles                               (1)

 3.2      Line segment QR is parallel to line segment ST. Complete the following proof     (3)
          that ∆QRU⫼∆TSU

                                           R

                        Q

                                          U

                                                                T

                                      S

          In ∆QRU and ∆TSU

                        Statement                                   Reason

            ̂ T = QT
           RQ      ̂S                               Alt angle
                                                    QR ‖ ST

            ̂S
           QR               =   ___________         _____________________________
                                                    Vert. opp. angles
            __________ =         ̂S
                                TU

           ∴ ∆QRU ⫼∆TSU                             Equal angles or AAA

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### Page 8

Grade 9                                                     FS/ November 2022
Mathematics Paper 2

 3.3      Proof that : ∆ABD ≡ ∆CED                                              (4)

                                      B

            A

                                  D

                                                     C

                      E

                          Statement                      Reason

           In ∆ABD and ∆CED

                                                                                [8]

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### Page 9

Grade 9                                                                      FS/ November 2022
Mathematics Paper 2

 QUESTION 4

 4.1      Point Aሺ1 ; 5ሻ is plotted on the Cartesian Plane below.

                                    • 𝐀ሺ1 ; 5ሻ

          4.1.1       Translate point A, 3 units to the right and then 5 units down.             (1)

          4.1.2       Write down the new coordinate of point A.                                  (1)

          ____________________________________________________

          ____________________________________________________

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### Page 10

Grade 9                                                                    FS/ November 2022
Mathematics Paper 2

 4.2      Draw ∆ABC with vertex coordinates of Aሺ−𝟑 ; 𝟓ሻ , Bሺ−𝟔 ; 𝟑ሻ and Cሺ−𝟐 ; 𝟑ሻ

          4.2.1       Draw the image of ∆ABC, if is translated using the rule                  (1)
                      ሺ𝑥 ; 𝑦ሻ ⟶ ሺ𝑥 + 3 ; 𝑦 − 7ሻ.

          4.2.2       Reflex ∆ABC about the 𝒚 − 𝐚𝐱𝐢𝐬.                                          (1)

 Copyright reserved                           Page 10 of 14                 Please turn over

### Page 11

Grade 9                                                                        FS/ November 2022
Mathematics Paper 2

 4.3      In the given diagram, ∆ABC is enlarged through the origin by a factor of 2 to
          form its image ∆A′ B′ C′ .
                                       𝐂′

                            𝐂ሺ𝟐 ; 𝟓ሻ

                                        𝐀′
                                                                  𝐁′
                            𝐀ሺ𝟐 ; 𝟏ሻ         𝐁ሺ𝟓 ; 𝟏ሻ

          4.3.1       Determine the coordinates of the vertices of ∆A′ B′ C′                       (3)

          _____________________________________________________
          _____________________________________________________
          _____________________________________________________
          _____________________________________________________

          4.3.2       Determine the lengths of the sides of ∆𝐀′ 𝐁 ′ 𝐂 ′ .                          (3)

          ____________________________________________________

          ____________________________________________________

          ____________________________________________________

          ____________________________________________________

                                                                                                   [10]

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### Page 12

Grade 9                                                                FS/ November 2022
Mathematics Paper 2

 QUESTION 5

 5.1      Calculate the perimeter of the diagram.                                          (2)

                                        22 𝑚

                9𝑚
                                                           15 𝑚

                                                   8𝑚

          ____________________________________________________

          ____________________________________________________

          ____________________________________________________

          ____________________________________________________

          ____________________________________________________

          ____________________________________________________

 5.2      The quadrilateral below is a trapezium. Find the area and the perimeter of the   (2)
          diagram below.

                                11 𝑐𝑚

              9 𝑐𝑚
                         8 𝑐𝑚

                                17 𝑐𝑚

          Perimieter = ______________

          Area = _____________

 Copyright reserved                            Page 12 of 14            Please turn over

### Page 13

Grade 9                                                                FS/ November 2022
Mathematics Paper 2

 5.3      The perimeter of a rectangle is 46 cm. If the length = ሺ2𝑥 + 5ሻ cm and the       (3)
          breadth= ሺ𝑥 + 6ሻ cm, calculate the area of the rectangle.
          ____________________________________________________

          ____________________________________________________

          ____________________________________________________

          ____________________________________________________

 5.4      Calculate: 1,12 𝑘𝑚2 = _________________𝑚2                                        (1)

          ____________________________________________________

          ____________________________________________________

          ____________________________________________________

 5.5      A carton that is the shape of a                                                  (3)
          rectangular prism is 30 𝑐𝑚 long,
          20 𝑐𝑚 wide and 10 𝑐𝑚 high.          10 𝑐𝑚
          Calculate the surface area
          of the carton.                                                  20 𝑐𝑚
                                                           30 𝑐𝑚
          ____________________________________________________
          ____________________________________________________
          ____________________________________________________
          ____________________________________________________
          ____________________________________________________

 5.6      A cylinder has a radius of 7 𝑐𝑚 and height of 10 𝑐𝑚.
          ‘n Silinder het ‘n radius van 7cm en ‘n hoogte van 10cm.

          5.6.1 Calculate the volume of the cylinder. (if 𝜋 = 3,14ሻ                        (2)
                Bereken die volume van die silinder (as 𝜋 = 3,14ሻ
          ____________________________________________________

          ____________________________________________________

          ____________________________________________________

          ____________________________________________________

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### Page 14

Grade 9                                                                    FS/ November 2022
Mathematics Paper 2

          5.6.2       Find the total surface area of a closed cylinder.                        (3)

          ____________________________________________________

          ____________________________________________________

          ____________________________________________________

          ____________________________________________________

                                                                                               (1)
          5.6.3       If the dimensions are doubled, what would the total surface area
                      be?

          ____________________________________________________

          ____________________________________________________
                                                                                               [16]
                                                                   TOTAL                       [60]

 Copyright reserved                            Page 14 of 14                Please turn over

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