# Mathematics Grade 9 P2 November GP 2020 Question Paper (Eng)

> Grade 9 Mathematics Paper 2 question paper from the November GP 2020 (English), 11 pages. Read online or get the free PDF download, memo linked when available.

- Page: https://www.hlayiso.com/library/gr9-math-p2-english-2020-exemplars-question-paper/eb344412-4697-47a1-89ca-f78fec55bcc7
- Updated: 2026-09-27
- Subject: Mathematics
- Grade: Grade 9
- Language: English
- Document type: Question paper
- Year: 2020
- Exam period: November GP
- Paper: 2
- Curriculum: CAPS
- Pages: 11

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## About this document

Mathematics · Grade 9 · November GP · 2020 · English. Question paper, 11 pages. Read online or download the PDF.

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## Document text

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### Page 1

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                 GAUTENG DEPARTMENT OF EDUCATION
                         PROVINCIAL EXAMINATION
                               NOVEMBER 2020
                                       GRADE 9

                                  MATHEMATICS
                                    (PAPER 2)

NAME OF LEARNER:
                             _____________________________________________________

GRADE:                       _____________________

TIME:       1 hour

MARKS:      50

10 pages + 1 formula sheet

                                                                                     P.T.O.

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                                                       MATHEMATICS                  (PAPER 1)
                                                                                                 2
                                                                                     GRADE 9

INSTRUCTIONS AND INFORMATION:

1.     Answer ALL the questions.

2.    Question 1 consists of FIVE multiple choice questions. You must circle the letter of the
      correct answer in the QUESTION PAPER.

3.    Answer questions 2 – 4 in the spaces provided.

4.    Clearly show all calculations, diagrams and graphs that you have used in determining
      your answers. Answers ONLY will not necessarily be awarded full marks.

5.    Diagrams are not necessarily drawn to scale. Reasons MUST always be given for
      statements made when answering geometry questions.

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

7.    Approved scientific calculators (non-programmable and non-graphical) may be used,
      unless otherwise stated.

8.    Write neatly and legibly.

Practice Question

Circle the letter of the correct answer.

1.    Complete: 𝐴̂ is an obtuse angle, because …

      A     0° < 𝐴̂ < 90°.
      B     180° < 𝐴̂ <360°.
      C     90° < 𝐴̂ <180°.
      D     𝐴̂ = 180°.

You have done it correctly if you circled C.

                                                                                                 P.T.O.

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                                                     MATHEMATICS             (PAPER 2)
                                                                                             3
                                                                              GRADE 9

QUESTION 1

FOUR options are provided as possible answers to the following questions.

Circle the letter next to the correct answer in the QUESTION PAPER.

1.1                                ̂ C = 63°, CB extended to E, Ĉ = 54°, AB extended to D
      ∆ABC with AC extended to F, BA
           ̂ A = 𝑥°.
      and EB

                                  F
                                           A

                                               63°

                                                            54°       C

                                          𝑥 1
                                         3 B
                              E

                                               D

      Complete: The size of 𝑥 = ...

      A     54°.
      B     63°.
      C     117°.
      D     126°.                                                                                (1)

                                                                                             P.T.O.

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                                                       MATHEMATICS               (PAPER 2)
                                                                                              4
                                                                                  GRADE 9

1.2   Which statement below about kite DEFG is TRUE?

                                                       D

                                          E        O           G

                                                       F
      A     Two pairs of adjacent sides are equal in length.
      B     Diagonals bisect each other.
      C     Two pairs of opposite sides are parallel.
      D     Diagonals are equal in length.

1.3   The rectangular prism below has a length of 8 cm, breadth of 3 cm and height of 4 cm.
      The volume of the prism is __________.

                                                                4 cm

                                                               3 cm
                                      8 cm
      A     15 cm3 .
      B     48 cm3 .
      C     96 cm3 .
      D     56 cm3 .                                                                              (1)

1.4   What type of triangle is ∆ABC below?
                                           A

                             B                             C

      A    Equilateral triangle
      B    Scalene triangle
      C    Right-angled triangle
      D    Isosceles triangle

                                                                                              P.T.O.

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                                                       MATHEMATICS    (PAPER 2)
                                                                                  5
                                                                       GRADE 9

1.5   XY  YZ and XK  KY

                                           X

                                                   K

                                           Y                    Z

      Which statement is correct?

      A    ∆XYK ≡ ∆ZYK
      B    ∆XYK ≡ ∆XYZ
      C    ∆ZYK⦀∆XYK
      D    ∆XYK⦀∆XYZ                                                              (1)
                                                                                  [5]

QUESTION 2

Answer the following questions in the spaces provided.

2.1                  ̂ B = 60°, BĈD = 45°, ̂
      AB ∥ CD ∥ EF, CA                      B = 𝑥, 𝐴̂1 = 𝑦 and ̂
                                                               D=𝑧.

             S

                 1        𝑦
             A
                     2                     𝑥           B
                         60°

                     1
                                 2   45°
                 C
                         3                                 D

                             𝑧
                 E
                                                           F
      2.1.1 Determine, with reasons, the value of 𝑥.

             Statement                                 Reason

                                                                                  (1)

                                                                                  P.T.O.

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                                                       MATHEMATICS               (PAPER 2)
                                                                                             6
                                                                                  GRADE 9

      2.1.2 Determine, with reasons, the value of 𝑦.

             Statement                                 Reason

             Ĉ1 + 60° + 45° = 180°                    _____________________________
             Ĉ1 =__________
              AĈD = Ĉ1 + Ĉ2 = __________________
             AĈD = y                                  _____________________________
             𝑦 = _________                                                                   (5)

      2.1.3 Determine the value of 𝑧.

             Statement                                 Reason

             𝑧 = ________________________
                                                       corresponding ∠𝑠 and EF ǁ CD          (1)

2.2   Given: KN = KL, KL ⫽ NM
                      
      L̂ =2x + 20°and M = 3x – 35°

                                   L
                                                                       M
                                       2𝑥 + 200

                K

                               N
      2.2.1 Calculate the value of 𝑥 with reason/s.

             Statement                                 Reason

             KL̂N = KN
                     ̂L                                _______________________-

             ∴ KL̂N = __________

             KL̂N = LN
                     ̂M                                _______________________________

             _______________________                   sum of internal ∠𝑠 of ∆
             ∴ 𝑥 = _______                                                                   (5)

                                                                                             P.T.O.

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                                                       MATHEMATICS             (PAPER 2)
                                                                                            7
                                                                                GRADE 9

      2.2.2   Hence, calculate the size of NL̂M.

              Statement                                Reason

                                                                                            (2)
                                                                                           [14]

QUESTION 3

Answer the following questions in the spaces provided.

3.1   In the diagram below, ABCD is a square and PBRD is a parallelogram.

                               A               P                           D
                                           1       3
                                               2                   1
                                                                       2

                                   1
                                                           2
                                       2               1       3
                               B                           R               C

      Complete to prove that ∆ABP ≡ ∆CDR.

              Statement                                Reason

              AB = _______________________             _______________________
              PB = _______________________             _______________________
              ̂
              A = _______________________              _______________________
              ∴ ∆ABP ≡ _________________               _______________________              (4)

                                                                                           P.T.O.

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                                                     MATHEMATICS                  (PAPER 2)
                                                                                               8
                                                                                   GRADE 9

3.2   Given: ∆STR ⫴ ∆XYZ

                                                                        X
                                             R
                                 𝑦
                                                          15                 10
                    S
                                         4
                         3
                                                 Y              𝑥                 Z
                                     T

      3.2.1 Write down the proportional sides of the two similar triangles above, by
            completing the statement.

             Statement                               Reason
             ST
                =            =                       proportional sides of ⫴ ∆𝑠
             XY                                                                                (2)

      3.2.2 Hence, calculate the value of 𝑥 and 𝑦.

                                                                                               (5)
                                                                                              [11]

                                                                                              P.T.O.

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                                                   MATHEMATICS             (PAPER 2)
                                                                                       9
                                                                            GRADE 9

QUESTION 4

Answer the following questions in the spaces provided.

4.1   MNST is a parallelogram. NR = 9 mm, RS = 30 mm and MR = 12 mm.

                                        M                              T

                                         12 mm

                         N    9 mm      R         30 mm   S

      Calculate:

      4.1.1 The area of ∆MNR.

                                                                                       (3)

      4.1.2 The perimeter of MNST.

                                                                                       (5)

                                                                                       P.T.O.

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                                                     MATHEMATICS                  (PAPER 2)
                                                                                                 10
                                                                                   GRADE 9

4.2   A circular hole with a diameter of 14 cm is drilled through a rectangular block of wood.
      The dimensions of the wooden block are 30 cm by 20 cm by 10 cm.

                               17m          14
                                            1                        10 cm

                                                                 20 cm

                                      30 cm

      4.2.1 Determine the volume of the wooden block.

                                                                                                  (3)

      4.2.2 Determine the volume of the wooden block that remained after the hole was drilled.
                    22
            Use 𝜋 = 7 .

                                                                                                  (6)

      4.2.3 Determine the outer surface area of the wooden block before the hole was drilled.

                                                                                                  (3)
                                                                                                 [20]

                                                                                     TOTAL:       50

                                                 END

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                                        MATHEMATICS               (PAPER 2)
                                                                              11
                                                                   GRADE 9

FORMULA SHEET

                       Perimeter                    Area

Rectangle               2(𝑙 + 𝑏)                    𝑙×𝑏

Circle                    2𝜋𝑟                       𝜋𝑟 2

                                        1
Trapezium           𝑆1 + 𝑆2 + 𝑆3 + 𝑆4     (𝑠𝑢𝑚 𝑜𝑓 𝑝𝑎𝑟𝑎𝑙𝑙𝑒𝑙 𝑠𝑖𝑑𝑒𝑠) × ℎ
                                        2
                                                  1
Triangle              𝑆1 + 𝑆2 + 𝑆3                  𝑏 ×⊥ ℎ
                                                  2

                                                  Volume

Rectangular prism                                 𝑙×𝑏×ℎ

Cylinder                                          𝜋𝑟 2 × h

                                                1
Triangular prism                                  𝑏 ×⊥ ℎ × 𝐻
                                                2

                                             Outer Surface Area

Rectangular prism                         2(𝑙 + 𝑏) × 𝐻 + 2 × 𝑙 × 𝑏

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