# Mathematics Grade 9 November EC 2011 Question Paper (Eng)

> Grade 9 Mathematics question paper from the November EC 2011 (English), 14 pages. Read online or get the free PDF download, memo linked when available.

- Page: https://www.hlayiso.com/library/maths-eng-qp/e77f1a6f-668f-4a35-83a3-3a6c371bc41e
- Updated: 2026-09-27
- Subject: Mathematics
- Grade: Grade 9
- Document type: Question paper
- Year: 2011
- Exam period: November EC
- Curriculum: CAPS
- Pages: 14

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## About this document

Mathematics · Grade 9 · November EC · 2011. 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

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                    Province of the
                    EASTERN CAPE
                    EDUCATION

                              SENIOR PHASE

                                GRADE 9

                          NOVEMBER 2011

                            MATHEMATICS

MARKS:    100

TIME:     2 hours

         This question paper consists of 14 pages, including annexures.

### Page 2

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2                                MATHEMATICS                           (NOVEMBER 2011)

INSTRUCTIONS AND INFORMATION

1.   Answer all the questions.

2.   Write neatly and legibly.

3.   Do not change the numbering of the questions.

4.   Show all your calculations, correct your answer to TWO decimal places
     where necessary.

5.   A non-programmable calculator may be used.

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(NOVEMBER 2011)                                MATHEMATICS                                    3

 QUESTION 1

 In QUESTION 1, there are multiple choice questions. Four possible answers are
 given for each question. Only one answer is correct. Select the best answer and
 use the answer sheet provided in ANNEXURE 1 to make a cross on the
 corresponding letter for the correct answer.

 Example:

 1.11     √8 is ...

         A             24
         B             2
         C             2,7
         D             512

 The correct answer is 2 which is letter B.

        1.11          A               B             C             D

 1.1     .
                       = ...

         A             6x10
         B             6x10
         C             0,6x10
         D             0,6x10                                                                 (1)

 1.2     The equation for the line graph AB below is:

                                                    Y
                                  A                  3-                       B

                                                        2-

                                                        1-

                   |          |    |       |    |             |       |   |       |   |   X
                  -5         -4   -3      -2   -1        0    1       2   3       4   5
                                                        -1-

                                                        -2-

         A             x=3
         B             y=3
         C             x=y+3
         D             y=x+3                                                                  (1)

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4                                    MATHEMATICS                            (NOVEMBER 2011)

1.3   The sequence 11; 14; 17; 20; ..., 101 consist of ...

      A        30 terms
      B        31 terms
      C        33 terms
      D        34 terms                                                                 (1)

1.4   The expression (x + 3)( x – 2) + 2x2 is ...

      A        3x2 + x – 6
      B        3x2 – x – 6
      C        3x2 + 2x – 6
      D        3x2 + 5x – 6                                                             (1)

1.5   Uncle Zondi bought 4 boxes of pencils for his niece. He placed them in a
      pencil case so that they do not get lost. The pencil case had 7 pencils in it
      already. The total number of pencils in the case is 27. How many pencils
      are in each box?

      A        38
      B        35
      C        5
      D        10                                                                       (1)

1.6   In the regular octagon below MN bisects  QNP. The size of each angle of
      a regular octagon is 135°. Therefore  MNR is …

                                                 R

                          M                          P

                                                     N

                                             Q

      A        60°
      B        67,5°
      C        45°
      D        75°                                                                      (1)

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(NOVEMBER 2011)                         MATHEMATICS                                    5

 1.7                                       50 cm

              15 cm

                                                                  10 cm

        The area of the figure given above is …

        A         528 cm²
        B         150 cm²
        C         825 cm²
        D         750 cm²                                                              (1)

 1.8    Zelha has prepared her mother’s birthday-present tied with a ribbon as
        shown. The bow knots and ends used 47 cm of ribbon.

                                                                Bow knot
                       ends

                                                        10 cm

                                20 cm               15 cm

        The total length of the ribbon used in metres is …

        A         30,47 m.
        B         0,45 m.
        C         0,92 m.
        D         1,57 m.                                                              (1)

 1.9    Tommy, Andile and Temba dig a hole in 6 days. If they are assisted by 6
        friends, how long will they take, working at the same rate, to dig a hole of
        the same size?

        A         9 days
        B         2 days
        C         4 days
        D         18 days                                                              (1)

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6                                            MATHEMATICS                      (NOVEMBER 2011)

1.10 Two coins are tossed. The probability of obtaining the same outcome twice
     is …

                  2
      A
                  3
                      3
      B
                      4
                  1
      C
                  4
                      1
      D
                      2                                                                    (1)
                                                                                          [10]

QUESTION 2

2.1   Mr. Ceolo needs R12 000 to renovate his house. The financial institution
      has agreed to offer him a loan at one of the following rates:

      8,8% per annum compound interest, or
      9% per annum simple interest

      2.1.1       If Mr. Ceolo wants to pay over 2 years. Show by calculation which
                  offer is a better option. Compound Interest or Simple Interest.         (4)

      2.1.2       How many US dollars should his friend in the USA send him for the
                  renovations? HINT: exchange rate $ 1 = R 7,12                           (1)

2.2   Water is being pumped into a tank at a rate of 150 litres per minute. How
      long will it take to fill a tank with a volume of 81 000 litres?
      Give your answer in hours.                                                          (2)
                                                                                          [7]

QUESTION 3

3.1   Simplify:

      3.1.1       4            10
                                                                                          (3)

      3.1.2       4        3        3    2   7     1   2                                  (4)

3.2   Factorise:

      3.2.1       36                16       4                                            (2)

      3.2.2       25           49                                                         (2)

3.3   Evaluate 5          3 using factorisation. (Do not use a calculator.)               (2)

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(NOVEMBER 2011)                                    MATHEMATICS                                         7

 3.4    Solve for :

        3.4.1                  1
                  5                                                                                    (2)
                              125

        3.4.2             3             2          4
                      4             8         16                                                       (4)

 3.5    Consider the table below and answer the questions that follow:

                      1             2          3           4           5          17          B    N
                      0             3          8           15          24         A          528   ?

        3.5.1     What is the general rule for the pattern?                                            (2)

        3.5.2     Find the value of A, i.e.            when        = 17.                               (1)

        3.5.3     Find the value of B, i.e.            when        = 528.                              (2)

 3.6    3.6.1     Use ANNEXURE 2 to draw the graphs of
                  2 + 3 = 6 and = + 2 for  R on the same system of axes.
                  Label the graphs.                                                                    (6)

        3.6.2     Determine the point of intersection of the two graphs.                                (1)
                                                                                                       [31]

 QUESTION 4

 4.1                                                        P
                                                                 45°
                                                           80°            10 cm

                                              20 cm                9 cm

                                                                                       80°   S

                                        45°                               R
                                                       p
                                Q

        In the above figure; ΔPQR||| ΔSPR.

        4.1.1     Work out the length of p.                                                            (2)

        4.1.2     Using the answer from QUESTION 4.1.1 and give reasons for
                   PQR|||  SPR                                                                       (1)

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8                                     MATHEMATICS                            (NOVEMBER 2011)

4.2   In the diagram below LO = MQ = 6 cm; OM = 3 cm; O P̂ Q = 30°; PQ = LN;
      PO  LQ and MN  LQ.

                              L

      P                           O
                              M                         N

                              Q
      4.2.1    Show with reasons that LM = QO.                                            (2)

      4.2.2    Prove that ΔPOQ        ΔNML.                                               (3)

4.3   Shown below is  XYZ with X(1;2) , Y(0;4) and Z(3;2).

                         5_

                         4 _ Y(0;4)

                         3_

                         2_
                              X(1;2)          Z(3;2)
                         1_

                                  |     |     |     |   |     |    |     |      X
                                  1     2     3     4   5     6    7     8

      4.3.1    If ΔXYZ is enlarged by a factor of 2 (i.e. doubled), draw the image
               of ΔXYZ on ANNEXURE 3.                                                     (2)

      4.3.2    On the same Cartesian plane in ANNEXURE 3, reflect the image of
               ΔXYZ (the enlarged triangle) in the -axis.                                 (2)

      4.3.3    Write down the co-ordinates of the reflected triangle.                     (2)

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(NOVEMBER 2011)                            MATHEMATICS                                  9

 4.4    The figure below shows that LK // MN; LKˆ M = 3        ; KMˆ L = 2
        and NMˆ Q = .

                                                   K

                                                       3
                                                                                    N

                                                               2
           P       L                                                M           Q

        4.4.1     Calculate with reasons the value of .                                 (3)

        4.4.2     What is the size of LKˆ M ?                                           (1)

        4.4.3     Which type of triangle is ΔMKL?                                        (1)
                                                                                        [19]

 QUESTION 5

 5.1    The perimeter of the rectangle HIJK is 48 m. The length is equal to one third
        (i.e. ) the size of the perimeter.

                    H                                      K

                           1
                       b     b
                           2
                                 3
                                   l
                                 4
                       I               l                   J

        5.1.1     Calculate the length and the breadth of rectangle HIJK.               (2)

        5.1.2                                                  3                    1
                  If the length of the unshaded rectangle is of IJ and the breadth
                                                            4                      2
                  of HI, work out the perimeter of the unshaded portion.                (2)

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10                                      MATHEMATICS                         (NOVEMBER 2011)

5.2   In the given cone below, the vertical height VO is 12 cm and the radius of
      the base circle OA is 5 cm. Determine the size of VA (slant height).               (2)

                                                             V

                                                     12 cm

                                                         O              A
                                                                 5 cm

                                                                                         [6]

QUESTION 6

6.1   The pie chart below shows how R94 000 was allocated to 4 schools in a
      school district nutrition programme.

                                          School B
                             School A      (22%)
                              (44%)
                                          º
                                              School C
                                               (12%)
                                    School D
                                     (22%)

      6.1.1    How much did school A receive?                                            (1)

      6.1.2    Find the value of º.                                                      (2)

      6.1.3    School A decided to donate an amount of R 5 300 to School C.
               How much will School C have now?                                          (2)

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(NOVEMBER 2011)                         MATHEMATICS                                      11

 6.2    The stem and leaf diagram below represents the ages of 50 parents who
        attended a parents’ meeting in Active Children J.S.S.

          Stem      Leaf
            7       1 2 3
            6       1 2 2 3 5 9
            5       1 2 3 4 5 6 7 7 9 9
            4       1 1 2 2 3 4 4 5 6 6 9
            3       2 2 3 4 5 6 7 8 8 9
            2       1 2 3 4 8 9
            1       7 8 8 9

        6.2.1     Determine the range of the data.                                       (1)

        6.2.2     What is the median?                                                    (1)

        6.2.3     Draw a frequency table to represent the data in intervals of 0 – 10;
                  11 – 20; 21 – 30;...                                                   (3)

 6.3    The body mass in kilograms of the first 5 parents to arrive in the parents
        meeting are 51; 56; 54; 59 and 53. If the sixth parent arrive, their average
        body mass is 56 kg.

        Calculate the body mass of the sixth parent.                                     (3)

 6.4    The table below shows the percentage of marks obtained by Aliva in 6
        Mathematics tests in the second term.

        Test Number                   1          2      3        4        5        6
        Marks as a Percentage        13         17     20       22       16        4

        6.4.1     Draw a broken line graph to show Aliva’s performance.                  (4)

        6.4.2     Determine the average percentage of the test marks.                    (6)

 6.5    A grade R class has bags where it keeps counters. One bag is carrying two
        green, one white and one black counter. One counter is randomly taken out,
        its colour noted and then put back into the bag. The bag is shaken and then
        a second counter is taken out at random.

        Draw a tree diagram and use it to list all possible outcomes.                    (4)

 6.6    What is the probability of randomly selecting …

        6.6.1     a white counter twice?                                                 (1)

        6.6.2     a white and black counter?                                             (1)

        6.6.3     at least one black counter?                                             (2)
                                                                                         [27]

                                                                               TOTAL:    100

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12                                     MATHEMATICS      (NOVEMBER 2011)

                                           ANNEXURE 1

SURNAME

NAME

DATE

 ANSWER SHEET FOR MULTIPLE CHOICE QUESTIONS

                              QUESTION 1

Example:

1.11        √8 is ...

           A            24
           B            2
           C            2,7
           D            512

The correct answer is 2 which is letter B.

     1.11               A        B         C      D

     1.1                A        B         C      D

     1.2                A        B         C      D

     1.3                A        B         C      D

     1.4                A        B         C      D

     1.5                A        B         C      D

     1.6                A        B         C      D

     1.7                A        B         C      D

     1.8                A        B         C      D

     1.9                A        B         C      D

     1.10               A        B         C      D

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(NOVEMBER 2011)                   MATHEMATICS                              13

                                      ANNEXURE 2

 SURNAME

 NAME

 DATE

 QUESTION 3.6.1
                                          y

                                      8

                                      7

                                      6

                                      5

                                      4

                                      3

                                      2

                                      1
                                                   1   2   3   4   5   6   7
                                          0                                     x
    -6     -5     -4   -3   -2   -1
                                              -1

                                              -2

                                              -3

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14                             MATHEMATICS                                     (NOVEMBER 2011)

                                   ANNEXURE 3

SURNAME

NAME

DATE

QUESTION 4.3.2

                                   y

                                   10

                                   9

                                   8

                                    7

                                    6

                                    5

                                    4       Y(0;4)

                                    3

                                    2
                                                 X(1;2)       Z(3;2)

                                    1
                                                 1        2   3        4   5        6      7
                                        0                                                        x
     -6   -5   -4   -3   -2   -1

                                            -1

                                            -2

                                            -3

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