# Mathematics Grade 9 Gauteng June 2023 Question Paper (Eng)

> Grade 9 Mathematics question paper from the Gauteng June Exam 2023 (English), 14 pages. Read online or get the free PDF download, memo linked when available.

- Page: https://www.hlayiso.com/library/gr-9-math-english-june-2023-question-paper/baac3b6d-f51a-4f38-844d-80e66aeb1faf
- Updated: 2026-09-27
- Subject: Mathematics
- Grade: Grade 9
- Language: English
- Document type: Question paper
- Year: 2023
- Exam period: Gauteng June Exam
- Curriculum: CAPS
- Pages: 14

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## About this document

Mathematics · Grade 9 · Gauteng June Exam · 2023 · English. 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

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

### Page 1

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           PROVINCIAL EXAMINATION

                    JUNE 2023

                    GRADE 9

                    MATHEMATICS

TIME: 1½ hours

MARKS: 75

14 pages

NAME OF LEARNER:                      CLASS:

NAME OF SCHOOL:

                                               P.T.O.

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                                                     MATHEMATICS                                  2
                                                                                    GRADE 9

INSTRUCTIONS AND INFORMATION

1.   This question paper consists of 7 questions and 14 pages.

2.   Answer ALL questions on the question paper.

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

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.   If necessary, round-off your answers to 2 decimal places, unless otherwise stated.

6.   Diagrams are not necessarily drawn to scale.

7.   Answer QUESTION 1 in Section A by circling the letter next to the correct answer.

8.   Answer QUESTIONS 2 to 7 in Section B in the spaces provided on this question paper.

9.   Write neatly and legibly.

                                                                                                  P.T.O.

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                                                    MATHEMATICS                                    3
                                                                                     GRADE 9

SECTION A

QUESTION 1

Answer questions 1.1 – 1.5 by choosing the correct answer. Circle the letter next to the correct
answer.

1.1     Which equation illustrates the multiplicative inverse property?

        A         1 y  y
                      1
        B         y  1
                      y
        C         1 0 1                                                                          (1)
        D         1  y  1

1.2     Given the equation 4(x + 1) = 3x + 10. For which value of � will this equation be true?

        A        –6
        B        6
        C        9
        D        –9                                                                                (1)

1.3     In the sequence 4; 23 ; 19 ; 541 ; ... the common ratio is:

        A        6
                  1
        B
                 12
                 8
        C
                 3
                 1
        D
                 6                                                                                 (1)

                                                                                                   P.T.O.

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                                             MATHEMATICS                               4
                                                                             GRADE 9

1.4   What does 5y – 1 mean?

      A       Subtract 1 to 5 and multiply by y.
      B       Multiply 5 and y by negative 1.
      C       Add 5 and y and subtract 1.
      D       Multiply 5 and y, then subtract 1.                                       (1)

1.5   Consider the ratio below and determine which statement is NOT true.

      2 packets of chips : 8 pieces of chicken

      A       For every 8 pieces of chicken, there are 2 packets of chips.
      B       The ratio of packets of chips to pieces of chicken is 2:8.
      C       The ratio of packets of chips to pieces of chicken is 8:2.
      D       The ratio of pieces of chicken to packets of chips is 8:2.               (1)
                                                                                       [5]

                                                                                       P.T.O.

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                                              MATHEMATICS                              5
                                                                             GRADE 9

SECTION B

QUESTION 2

2.1   The following ladders show the prime factors of 420 and 100.

                                    420   2           100     2

                                    210   2            50     2

                                    105   3            25     5

                                    35    5            5      5

                                     7    7            1

                                     1

      2.1.1   Write down the HCF of 420 and 100.

                                                                                       (1)

      2.1.2   Write down the LCM of 420 and 100.

                                                                                       (1)

2.2   Choose the correct term in the brackets to complete the sentence.

      Zero (0) is __________________________ (an irrational or a rational) number.     (1)

2.3   Complete the table below by filling in the missing values:

                      Decimal fraction                        Percentage

                              0,5                                  50%

                           0,7333…                 2.3.1____________________

                 2.3.2 __________________                          105%
                                                                                       (2)

                                                                                       P.T.O.

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                                               MATHEMATICS                                     6
                                                                                GRADE 9

2.4   At your local store, you get 3 stickers for every R60 spent.

      2.4.1    If you spend R480, how many stickers would you have?
               Show ALL your calculations.

                                                                                                (2)

      2.4.2    By using the answer to QUESTION 2.4.1, would you say the relationship
               between the amount spent and number of stickers earned is a direct proportion
               or indirect proportion?

                                                                                                (1)

2.5   R3 030,05 is invested for 5 years at 4,5% compound interest per annum. Calculate the
      value of the investment (A) after 5 years. Round-off your answer to the nearest whole
      number.
                              �   �
      Formula: � = � 1 + 100          �� � = �(1 + �)�

                                                                                                (4)
                                                                                               [12]

                                                                                               P.T.O.

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                                             MATHEMATICS                                 7
                                                                               GRADE 9

QUESTION 3

3.1   What is the additive inverse of 13?

                                                                                         (1)

3.2   Study the number pattern below:

      2–2=0
      2–1=1
      2–0=2

      What will the next line in the pattern be? Show ALL your calculations.

                                                                                         (2)

3.3   Calculate the following WITHOUT using a calculator. Show ALL your calculations.
      Leave answers in the simplest form.

      3.3.1        36
               ( 1) 3  2 3

                                                                                         (3)

      3.3.2    3  6  ( 6  4)  5  7

                                                                                         (3)
                                                                                         [9]

                                                                                         P.T.O.

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                                           MATHEMATICS                              8
                                                                          GRADE 9

QUESTION 4

4.1   3
          64; 0,8; 13 ; 92 ; 9; 25

      Arrange the above numbers in descending order.

                                                                                    (2)

4.2   Use the symbol = ; > or < to make the following statement TRUE:

      3
          64 __________         64                                                  (1)

4.3   The following statements are INCORRECT. Write down the correct answers.

      4.3.1      5-1 = –5

                                                                                    (1)

      4.3.2      (pq)0 = p

                                                                                    (1)

4.4   Simplify the following expression:

      16 a 2 b   8a 3 b
               
      3a 3 b 2 9a 4 b

                                                                                    (4)
                                                                                    [9]

                                                                                    P.T.O.

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                                             MATHEMATICS                                   9
                                                                               GRADE 9

QUESTION 5

5.1   Given the number sequence : 1; 8; 27; 64; 125; …

      Write down the next term of the sequence.

                                                                                           (1)

5.2   Two friends were texting each other back and forth. They were using the heart eyes
      emoji with every text forming the following pattern:

                1st Text                     2nd Text                    3rd Text

      5.2.1   Complete the table below by writing down the number of heart eyes in each
              text.

               Text                         1                 2                     3
               Number of Hearts
                                                                                           (1)

      5.2.2   Use the numerical pattern derived in QUESTION 5.2.1 by the heart eyes to
              determine the general term in the form Tn = _________.

                                                                                           (2)

      5.2.3   If the friends continue using emojis as observed above, how many hearts
              would there be in the 15th text?

                                                                                           (2)

                                                                                           P.T.O.

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                                              MATHEMATICS                                    10
                                                                                   GRADE 9

      5.2.4    How many texts were sent if there are 39 emoji faces?

                                                                                              (3)

5.3   The heights and widths of boxes used to store files in a shop (in cm) is as follows:

                Height of the box (in cm)                 Width of the box (in cm)
                             30                                        8
                             60                                       16
                             90                                       24
                            120                                       32

      What is the width of a box that has a height of 45 cm?

                                                                                              (2)
                                                                                             [11]

                                                                                             P.T.O.

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                                               MATHEMATICS                            11
                                                                            GRADE 9

QUESTION 6

6.1   Choose the correct answer in brackets.

      A (variable/constant) is a number that does not have a fixed value.              (1)

6.2   State if the following statement is True or False:

      x2 + 9 = (x + 3) (x – 3)

                                                                                       (1)

6.3   Subtract (2p + pq) from (–12p + 12pq).

                                                                                       (2)

6.4   Expand and simplify:
      (ab2 + b)2

                                                                                       (2)

6.5   Factorise:

      3x2 + 9 – 12x

                                                                                       (4)

                                                                                      P.T.O.

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                                            MATHEMATICS             12
                                                          GRADE 9

6.6   Simplify the following expressions:

      6.6.1   6p – 4 + 2(2p + 3)

                                                                     (2)

      6.6.2    b 2  5b   3b 2  15b
                        
               b 2  25       6b

                                                                     (4)
                                                                    [16]

                                                                    P.T.O.

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                                             MATHEMATICS                                        13
                                                                                GRADE 9

QUESTION 7

7.1   Write the following statement in the form of an algebraic equation.

      Four times the sum of twice a number and six equals thirty-two.

                                                                                                 (1)

7.2   During the class discussion, Mary and Rose disagree on the answer to the equation:
      d(d – 2) = (d + 4) (d – 3). Rose says the answer is d = –12, while Mary says the answer
      is d = 4. Determine who is correct.(Show ALL your calculations.)

                                                                                                 (4)

7.3   Solve for the unknown in the equation below:

           ( x  2)
      x            2
               3

                                                                                                 (3)

                                                                                                P.T.O.

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7.4   You decided to buy TWO types of chocolates to sell at your school’s entrepreneurs
      day. The one type of chocolate costs R8 and the other type costs ��. You spent
      ���� in total on 22 chocolates.

      How many of each type of chocolate did you buy?

                                                                                            (5)
                                                                                           [13]

                                                                                  TOTAL:   75

                                              END

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