# Mathematics Grade 9 P1 Eastern Cape November 2023 QP

> Grade 9 Mathematics Paper 1 question paper from the Eastern Cape November Exam 2023, 10 pages. Read online or download the free PDF.

- Page: https://www.hlayiso.com/library/grade-9-mathematics-2023-eastern-cape-november-exam-question-paper-paper-1/cd9da672-6920-450c-b81e-a1a40c368abb
- Updated: 2026-09-28
- Subject: Mathematics
- Grade: Grade 9
- Document type: Question paper
- Year: 2023
- Exam period: Eastern Cape November Exam
- Paper: 1
- Curriculum: CAPS
- Pages: 10

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## About this document

Mathematics · Grade 9 · Eastern Cape November Exam · 2023. Question paper, 10 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

O.R.TAMBO INLAND DISTRICT

                          SENIOR PHASE

                               GRADE 9

                  NOVEMBER 2023

             MATHEMATICS
               PAPER 1

 MARKS: 75

 TIME    : 2 hours

            This question paper consists of 10 pages including annexure
                                        .

### Page 2

November 2023           Mathematics Grade 9 paper 1                 O.R.T.I.District

INSTRUCTIONS AND INFORMATION TO THE LEARNER
1.     You will be given 15 minutes reading time before you begin answering the paper.
2.     Read the instructions for each question carefully.
3.     Answer all the questions.
4.     Number your work exactly as questions are numbered.
5.     Clearly show ALL the calculations, diagrams and graphs you have used in determining your
       answers
6.     You may use an approved scientific calculator (non-programmable and non-graphical).
7.     Diagrams are NOT necessarily drawn to scale.

 8.

 9.

 10.

       2|Page

### Page 3

November 2023            Mathematics Grade 9 paper 1                     O.R.T.I.District

                                             QUESTION 1

1.        In this question, 4 possible answers are given. Write only the correct letter for the
          correct answer next to the corresponding number.
          EXAMPLE: If the correct answer for 1.1 is A, write only answer as 1.1 A.

 1.1      Which of the numbers below is a rational number?                                         (1)
            A. 𝜋
            B. 2, 3̇
             C. √−16
                3
             D. √53

 1.2      Sipho is a car salesperson. He earns a commission of 3% on the sale of a car that        (1)
          values R220 000. The commission he earned is

             A. R660 000
             B. R733 333
             C. R6 600
             D. 154 000

 1.3         (23 )2 × (23 )−2 when simplified is                                                   (1)

             A. 210
             B. 2−1
             C. 1
             D. 2

 1.4      The general rule (𝑇𝑛 ) for −5; −1; 3; 7 is                                               (1)

             A. 𝑇𝑛 = −4𝑛 − 9
             B. 𝑇𝑛 = −4𝑛 − 9
             C. 𝑇𝑛 = −4𝑛 + 9
             D. 𝑇𝑛 = 4𝑛 − 9

 1.5                                                                                               (1)

          The number of dots in the next hexagonal prism will be
             A. 19
             B. 24
             C. 25
             D. 28

       3|Page

### Page 4

November 2023            Mathematics Grade 9 paper 1        O.R.T.I.District

1.6             16𝑥 2 𝑦 − 12𝑥𝑦                                                       (1)
                                   =
                        4𝑥𝑦
            A. 4𝑥 2 𝑦 − 3
            B. 4𝑥 2 𝑦 − 3𝑥𝑦
            C. 4𝑥 3 𝑦 2 − 3𝑥 2 𝑦 2
            D. 4𝑥 − 3

1.7      If 𝑝 = 4; 𝑞 = 6 𝑎𝑛𝑑 𝑟 = 5, then the value of 2𝑝 + 𝑞𝑟 =                      (1)
             A. 17
             B. 19
             C. 38
             D. 46

1.8      When (𝑥 − 1)(𝑥 + 2) = 0, 𝑡ℎ𝑒𝑛 𝑥 =                                           (1)

            A. −1 𝑜𝑟 0
            B. 1 𝑜𝑟 − 2
            C. 1
            D. −2

1.9      The gradient for the graph drawn below is                                   (1)

            A. −2
            B. 2
            C. −1
            D. 1

      4|Page

### Page 5

November 2023             Mathematics Grade 9 paper 1                    O.R.T.I.District

1.10      The graph of a straight line defined by 𝑦 = 2𝑥 + 4 is                                    (1)

                                                                                                   [10]
                                                 QUESTION 2
2.1
          2.1.1 Use prime factorization to find the HCF of 360 and 780.                            (2)

          2.1.2 Study the table below which shows the relationship between the period of           (1)
                time in minutes at which Zelha and Nalo collect apples in the orchard.
                Then answer the question that follow.

           Period of time in minutes        1        2          3        8         10
           Zelha                            12      24         36       96        120
           Nalo                             15      30         45       120       150

          Is the relationship shown in the table a direct or indirect proportion? Give a
          reason for your answer.

          2.1.3 Phiko takes a bus to school. The school is 9 km from his home. If the bus          (3)
                travels at an average speed of 40km/h, how many minutes does he take
                to get to school?

          2.1.4 Liya invests R15 000 in his savings account at 16% per annum compound              (3)
                interest. Calculate how much interest there will be in his savings account
                after 3 years.

2.2       In the pattern, 2 ; 5 ; 10 ; 17

          2.2.1 Explain how can you extend the pattern in words?                                   (1)
          2.2.2 Hence, determine the 10𝑡ℎ term                                                     (2)

       5|Page

### Page 6

November 2023                  Mathematics Grade 9 paper 1              O.R.T.I.District

2.3      Read the geometric pattern below to answer the questions that follow

         2.3.1 Draw figure 5                                                                     (1)

         2.3.2 Find the general rule in the form 𝑇𝑛 =                                            (2)

         2.3.3 In the table below,

          Figure          1       2       3        4        5       q
          number
          Number of       7      12      17       22        p      62
          dots
            (i) How many dots represented by letter p in the table?                              (1)

            (ii) Use the general rule: 𝑇𝑛 to find the figure number that has 62 dots.            (2)

2.4      Determine the value of 216÷ 27 in an exponential form.                                  (2)

2.5      Simplify

                      (2𝑑2 𝑒)2                                                                   (3)
         2.5.1   (4𝑑 −3 𝑒 −2 )−1

                 15𝑥 × 3𝑥+1 × 25𝑥                                                                (3)
         2.5.2       9𝑥+1 × 125𝑥

                 3
         2.5.3 √(20𝑥 − 15𝑥)3                                                                     (2)

         2.5.4 −2(𝑥 + 1)(𝑥 + 2) + 2(𝑥 + 2)2                                                      (4)

                     𝑦 2 −1                                                                      (3)
         2.5.5                × (2𝑦 − 4
                 𝑦 2 −𝑦−2
2.6      Factorize fully

         2.6.1 𝑥 2 + 5𝑥 + 6                                                                      (2)

         2.6.2 3𝑥 2 − 9                                                                          (3)

      6|Page

### Page 7

November 2023            Mathematics Grade 9 paper 1                  O.R.T.I.District

2.7      Mrs G has 12 children. Each child needs 36 crayons. How many crayons must             (2)
         she buy?

2.8      If 𝑦 = 2𝑥 2 + 4𝑥 + 3, determine the value of y when 𝑥 = −2.                           (3)

2.9      Solve for 𝑥
                          1                                                                    (3)
         2.9.1   22𝑥−2 = 64

                 2𝑥       13                                                                   (4)
         2.9.2        +1= 5
                 5

                                                                                               [52]
                                              QUESTION 3

3.1      Read the flow diagram below and answer the questions that follow

         3.1.1 Complete the rule in 3.1.1                                                      (1)

         3.1.2 What an output value represented by 3.1.2?                                      (2)

         3.1.3 What is an input value represented by 3.1.3?                                    (2)

      7|Page

### Page 8

November 2023          Mathematics Grade 9 paper 1                   O.R.T.I.District

3.2      Read the graph of 𝑦 = −2𝑥 − 4 drawn below and answer the questions that
         follow.

         3.2.1 On the same Cartesian plane above which is attached at the end of the          (2)
               question paper. Take it off, attach it on your answer sheet and then draw
               the graph of 𝑦 = −2𝑥 + 4. Indicate the graph drawn.

         3.2.2 What are the intercepts of the graph you have drawn?                           (2)

         3.2.3 How are the gradients of the two graphs? Give a reason for your answer.        (2)

      8|Page

### Page 9

November 2023          Mathematics Grade 9 paper 1                   O.R.T.I.District

3.3      Study the straight line graphs drawn below and answer the questions that follow.

         3.3.1 Write down the equation of graph AB.                                           (1)

         3.3.2 Write down the equation of graph CD.                                           (1)
                                                                                            [13]

                                              END

                        GOOD LUCK - ENJOY THE FESTIVE SEASON.

      9|Page

### Page 10

November 2023        Mathematics Grade 9 paper 1   O.R.T.I.District

     NAME:_________________________________

     QUESTION 3.2

     ANNEXURE

10 | P a g e

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