# Mathematics Grade 9 Gauteng November 2014 Question Paper

> Grade 9 Mathematics question paper from the Gauteng November Exam 2014, 15 pages. Read online or get the free PDF download, memo linked when available.

- Page: https://www.hlayiso.com/library/2014-grade-9-maths-final-exam-gp/120c90ef-a19f-46a5-855d-acd821a4fb1f
- Updated: 2026-09-27
- Subject: Mathematics
- Grade: Grade 9
- Document type: Question paper
- Year: 2014
- Exam period: Gauteng November Exam
- Curriculum: CAPS
- Pages: 15

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Mathematics · Grade 9 · Gauteng November Exam · 2014. Question paper, 15 pages. Read online or download the PDF.

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## Document text

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                     testpapers.co.za

  GAUTENG DEPARTMENT OF EDUCATION

                    GRADE 9

  NOVEMBER COMMON EXAMINATION 2014

        SUBJECT       :   MATHEMATICS

            TASK      :   COMMON EXAMINATION

             TIME     :   2 HOURS

          MARKS       :   120

    This assessment task consists of 13 pages

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MATHEMATICS GRADE 9                                                     NOVEMBER 2014

  INSTRUCTIONS

  1.       This Question Paper has two sections, Section A and Section B.

  2.       SECTION A has ten multiple questions. Answer this section on the
           answer sheet provided. Four possible answers are given. Circle the letter (A - D) of
           next to the correct answer.

  3.       SECTION B has 6 Questions. Answer ALL Questions.

  4.       A non-programmable calculator may be used unless otherwise stated.

  5.       Show ALL your work. (SECTION B)

  6.     Answer sheets for Questions 1; 6.1; 9.1, and 9.2.1 are provided. (See the
         Annexure A, B and C). These sheets must be handed in with your
         answer book.

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MATHEMATICS GRADE 9                                                             NOVEMBER 2014

SECTION A

This section has 10 multiple choice questions. Four possible answers are given.
Circle the letter (A - D) next to the correct answer. Answer this section on the answer
sheet provided.

QUESTION 1
1.1          Three sisters shared R500 and divided it into R250. R150 and R100. In
             which the ratio is divided?

            A. 3: 2: 1
            B. 5: 3: 2
            C. 5:4:3
               1                                                                         (2)
            D. 2 :3 :1

1.2      Which one of the following is NOT a prime number?

            A. 23
            B. 11
            C. 2
            D. 1                                                                         (2)

1.3      Arrange the following numbers in ascending order:

                 -135; 45; -139; 77; 0; -220

            A. 77; 45; 0; -135; -139; -220
            B. -135; -139; -220; 0; 77; 45
            C. -220; -139; -135; 0; 45; 77
            D. 0; 45; 77; -135; -139; -220                                               (2)

1.4      The LCM of 8; 12 and 20 is:

            A. 120
            B. 80
            C. 2
            D. 4                                                                         (2)

1.5      The value of the constant term in 2𝑥³ - 5𝑥² + 3𝑥 – 9 is:

            A. -2
            B. 9
            C. -9
            D. 5                                                                         (2)

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MATHEMATICS GRADE 9                                                                   NOVEMBER 2014

1.6      20 learners wrote a math test and their results in percentage were as follows:

         30; 22; 45; 44; 29; 59; 46; 61; 29; 56; 62; 35; 53; 35; 51; 26; 68; 86; 72; 64

         The range is:

              A. 64
              B. 108
              C. 57
              D. 34                                                                           (2)

1.7      The factors of 𝑝4 − 1 are:

              A. (𝑝2 − 1)(𝑝2 − 1)
              B. (𝑝 − 1)(𝑝 + 1)
              C. (𝑝 − 1)(𝑝 + 1)(𝑝2 − 1)
              D. (𝑝 − 1)(𝑝 + 1)(𝑝2 + 1)                                                       (2)

                                       1 −1
1.8      Simplify:             4−2 + ( )
                                       4

                   1
              A. 4 16
              B. 8
                   1
              C. 2 4
              D. 1
                                                                                              (2)
                           𝑥     𝑥
1.9      Solve for x:          − 5=3
                           4

                  60
              A 9
              B. 20
              C. 60
                 60
              D. 20                                                                           (2)

1.10       Simplify: √𝑥 3

          A           𝑥

                      𝑥3
          B
                      2
                                                                                              (2)

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 MATHEMATICS GRADE 9                                                                 NOVEMBER 2014

          C       Undefined number

          D       𝑥 √𝑥

                                                                                             [20]
 SECTION B

QUESTION 2

2.1   Simplify the following:
      5𝑚2 𝑛𝑝 × 𝑚𝑛2 𝑝2 − 3𝑚3 𝑛3 𝑝3 × (4𝑚𝑛𝑝)0                                                     (4)

2.2   Calculate the following without a calculator:

      2.2.1     1
                     2

                2   0,5
                             2

                2                                                                             (3)
                 0,08                                                                           (3)
      2.2.2            64
                 0,64
2.3   If 6 gardeners can mow the grass of a soccer field in 2 hours, how many gardeners
      can mow the same soccer field in 3 hours?                                                 (2)

2.4                   r
                i=                     A = P (1 + i.n)            A = P (1 + i ) n
                     100

      Miss Lee needs to draw up a budget of her monthly expenses. She earns R8 900 per
      month. Her bills in one month are: Rent: R2 100, Electricity R300, Car payments R
      1 450, Insurance R370, Petrol R600 Clothing account repayment R655 and
      Groceries R1 350.

      2.4.1   What are her total expenses for one month?                                        (1)

      2.4.2   How much money does she have left after paying all her expenses?                  (1)

      2.4.3   She borrows money from the bank to fix her car. Calculate the simple
              interest on a R5 000 loan for 3 years at 8Type equation here.,5% interest.        (3)

      2.4.4   Her grandparents gives her R15 000 for her 21st birthday. Calculate the
              compound interest earned over 2years at 12% p.a. interest.                        (4)

                                                                                                [21]

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 MATHEMATICS GRADE 9                                      NOVEMBER 2014

QUESTION 3

3.1   Simplify the following expression

      3.1.1    Add:−4𝑥 + 6 + 11𝑥 − 5                                 (2)

      3.1.2    Multiply: 3(𝑥 − 1) − 4(𝑥 − 2)                         (3)

      3.1.3    Calculate the value of 2𝑥 2 − 4 if 𝑥 = 3              (2)

3.2   Simplify the following:

      3.2.1    (5𝑥)3 𝑦 × (2𝑥𝑦 2 )2                                   (3)
                    15𝑥 5 𝑦 2
               2𝑥 + 4𝑦
      3.2.2                                                          (2)
                𝑥 + 2𝑦
3.3   Factorise fully:

      3.3.1    𝑥² − 𝑥 − 6                                            (2)
      3.3.2    18𝑥 2 − 200                                           (2)

                                                                     [16]

QUESTION 4

4.1   Solve the following equations:

      4.1.1    3(𝑥 + 1) = 8𝑥 − 2                                     (2)

               𝑥 + 7 3𝑥 − 1
      4.1.2         +       =0                                       (3)
                 4     3
4.2   Solve for x and y:
      𝑥 + 3𝑦 = 6 … . . (1)                                           (4)
      −𝑥 + 8𝑦 = 5 … … . (2)

                                                                     [9]

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 MATHEMATICS GRADE 9                                                                  NOVEMBER 2014

QUESTION 5

              Pattern 1                Pattern 2                          Pattern 3

5.1              Copy the table and complete the table by writing down a pattern
                 representing the number of sticks that makes each pattern:

                  Pattern                    1       2        3       4       5        6
                  Number of sticks                                                             (3)

5.2   Describe the pattern in your own words.                                                  (1)

5.3   Write down the general term of the given sequence in the form:
      Tn= _________________                                                                    (2)

5.4   Without drawing the figures determine the number of sticks needed to build the           (2)
      17th figure

                                                                                               [8]

QUESTION 6

6.1   On the grid (ANNEXURE B) plot the following two points and then join them.

      6.1.1      (-3 ; 4)                                                                      (1)

      6.1.2      (2 ; -1)                                                                      (1)

6.2   Determine the gradient of the line                                                       (2)

6.3   Determine the equation of the line in the form𝑦 = 𝑚𝑥 + 𝑐                                 (2)

                                                                                               [6]

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 MATHEMATICS GRADE 9                                                          NOVEMBER 2014

QUESTION 7

               Prove with reasons that ∆ FGH is congruent to ∆ GHJ                       (4)
7.1

               B                                D

              A                                C

7.2            Prove with reasons that    ∆ ABE is simillar to       ∆ DCE               (4)

               A                                 B

                                1

                                2   E
                     C                    D

                                                                                         [8]

QUESTION 8
Study the following diagram and answer the questions that follows:

                                                         A                E
                                                             𝑧
                                                       58°

                                              3𝑥 𝑦               𝑥
                                     D          B                C
                                                   AE ⃦DC

8.1   Determine , with reasons without using a protractor, the size of:

      8.1.1    𝑥                                                                         (3)

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 MATHEMATICS GRADE 9                                                               NOVEMBER 2014

      8.1.2    𝑦                                                                              (2)

      8.1.3    z                                                                              (2)

8.2   Calculate the area of a rectangular carpet if the width is 8m and the diagonal
      measures 10m.                                                                           (3)
8.3   Given the diagram below, answer the following questions:

      8.3.1    Identify the figure represented above.                                         (1)

      8.3.2    Calculate the surface area of the above figure..                               (3)

                                                                                              [14]

QUESTION 9

      Do this question on ANNEXURE C

9.1   ∆ABC with A(3;0), B(2;4) and C(0;2) is enlarge using the rule
      (𝑥; 𝑦) → (2𝑥; 2𝑦). The resulting image is A1B1C1
                                                                                              (2)
      Draw ∆ABC and its image on the given grid.

9.2   ∆ABC word gereflekteer om die y-as. Die refleksie is A11B11C11 .

      9.2.1    Draw the image on the given grid. A11B11C11                                    (3)

      9.2.2    What is the distance between A and A11 ?                                       (1)

                                                                                              [6]

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 MATHEMATICS GRADE 9                                                                 NOVEMBER 2014

QUESTION 10

10.1   During the two days before Christmas, a clothing store sold a number of women’s
       dresses in the following sizes.

                30 18 26 42 40 20 24 34 26 42 36 32 40 32 18 38 26 30

       10.1.1   Calculate the mean of the data.                                                 (3)

       10.1.2   What is the mode of the data.                                                   (1)

       10.1.3   Determine the median of the data.                                               (1)

       10.1.4   What is the range of the data.                                                  (1)

10.2            A bag contains three coloured discs: green, pink and brown. The tree-
                diagram shows the possible outcomes when a disc is pulled out of the bag
                                                    green
                                            green   pink
                                                    brown
                                                    green
                                     Disc   pink    pink
                                                    brown
                                                    green
                                            brown   pink
                                                    brown

       10.2.1   Write down all the possible outcomes.                                           (2)

       10.2.2   Write down the total number of outcomes.                                        (1)

       10.2.3   Write down the probability of pulling out a brown and a brown                   (1)

       10.2.4   Write down the probability that the first disc is a pink and the second disc
                is a green.                                                                     (1)

       10.2.5   Write down the probability of pulling out a purple disc                         (1)

                                                                                                [12]

                                                                                  TOTAAL: 120

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MATHEMATICS GRADE 9                                                                 NOVEMBER 2014

ANNEXURE A:

NAME:----------------------------------------------------------------   GRADE 9-----------

                                      MATHEMATICS: 2014

                           NOVEMBER EXAMINATION GRADE 9

SECTION A QUESTION 1

                          Answer sheet for Multiple Choice

           1             A                B                 C              D

           2             A                B                 C              D

           3             A                B                 C              D

           4             A                B                 C              D

           5             A                B                 C              D

           6             A                B                 C              D

           7             A                B                 C              D

           8             A                B                 C              D

           9             A                B                 C              D

          10             A                B                 C              D

                                                                                         [10]

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MATHEMATICS GRADE 9                                                                     NOVEMBER 2014

ANNEXURE B:

NAME:----------------------------------------------------------------       GRADE 9-----------

QUESTION 6.1

                                                      y
                                                 5

                                                 4

                                                 3

                                                 2

                                                 1

                      -4     -3     -2    -1     0        1    2        3   4
                                                                                 x
                                                 -1

                                                 -2

                                                 -3

                                                 -4

                                                 -5

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MATHEMATICS GRADE 9                                                                          NOVEMBER 2014

ANNEXURE C:

NAME:----------------------------------------------------------------        GRADE 9-----------

QUESTION 9.1 and 9.2.1

                                                         y
                                                   12

                                                   11

                                                   10

                                                    9

                                                    8

                                                    7

                                                    6

                                                    5

                                                    4

                                                    3

                                                    2

                                                    1
                                                                                                    x
-10   -9   -8   -7   -6   -5   -4   -3   -2   -1    0    1   2   3   4   5   6   7   8   9     10

                                                    -1

                                                    -2

                                                    -3

                                                    -4

                                                    -5

                                                    -6

                                                    -7

                                                    -8

                                                    -9

                                                   -10

                                                   -11

                                                   -12

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MATHEMATICS GRADE 9                                              NOVEMBER 2014

                 GAUTENG DEPARTMENT OF EDUCATION

                              GRADE 9

                 NOVEMBER COMMON EXAMINATION 2014

NAME AND SURNAME:_______________________________________________

NAME OF THE SCHOOL:_________________________________________________

Question Topic                     Max      Time     Learner’s    Moderated
                                   Marks             Mark         Mark

TOTAL

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MATHEMATICS GRADE 9                     NOVEMBER 2014

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