# Mathematics Grade 9 P1 Free State November 2022 QP (Eng)

> Grade 9 Mathematics Paper 1 question paper from the Free State November Exam 2022 (English), 6 pages. Read online or download the free PDF.

- Page: https://www.hlayiso.com/library/grade-9-mathematics-2022-free-state-november-exam-question-paper-paper-1-english/c0b5ad39-987b-43a7-8475-ea3f4111369e
- Updated: 2026-09-28
- Subject: Mathematics
- Grade: Grade 9
- Language: English
- Document type: Question paper
- Year: 2022
- Exam period: Free State November Exam
- Paper: 1
- Curriculum: CAPS
- Pages: 6

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## About this document

Mathematics · Grade 9 · Free State November Exam · 2022 · English. Question paper, 6 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

GRADE 9

      MATHEMATICS

   NOVEMBER TEST 2022

             PAPER 1

DURATION 1 HOUR 30 MINUTES

         MARKS: 60

       This question paper consists of 4 pages

### Page 2

Grade 9                                                                               FS NOV 2022
Mathematics Test 1st Paper

 INTRUCTION AND INFORMATION

 Read all the instructions carefully
 1.        Answer ALL questions..

 2.        Clearly show ALL calculations, diagrams, graphs, etc. that you used to determine the answer.

 3.        Number the answers correctly according to the numbering system used in this question paper.

 4.        You may use an approved scientific calculator (non-programmable and non-graphical) unless
           stated otherwise
 5.        Diagrams are NOT necessarily drawn to scale.

 6.        Answers only will NOT necessarily be awarded full marks.

 7.        Write neatly and legible.

Copyright reserved                                  Page 2 of 6                   Please turn over

### Page 3

Grade 9                                                                                  FS NOV 2022
Mathematics Test 1st Paper

 QUESTION 1

 1.1      The temperature at Golden gate is −5°C. It increases by 4°C. What is the new             (1)
          temperature?
 1.2      The sum of two numbers is −1 and their product is −12. Find the two numbers.             (2)

 1.3      Simplify the following:
                                                3
                                     2(−2) − √27 + (−3)3                                           (4)

 1.4      Use prime factors to find the HCF and the LCM of 300 and 135                             (4)

                                                                                                   [11]
 QUESTION 2

 2.1      Simplify the following ratio: 120𝑐 ∶ 30 𝑐                                                (1)

 2.2      Show by calculations which deal is cheaper: 30 milk chocolate bars for R270 or 42        (3)
          mint chocolate bars for R320.
 2.3      In a bag of marbles there are blue and pink marbles in the ratio 3:11. If there are 18   (3)
          blue marbles, how many marbles are in the bag?
 2.4      Simplify the following WITHOUT the use of a calculator

          2.4.1        𝑎 𝑥 × 𝑎 𝑥−1 × 𝑎2                                                            (1)

          2.4.2        (3∙22 )3                                                                    (3)
                        22 ∙35
                                                                                                   [11]
 QUESTION 3

 3.1      Simplify the following

          3.1.1        𝑥 2 − 5𝑥 − 11 + 3𝑥 2 − 5𝑥 + 6                                               (2)

          3.1.2        (𝑥 + 3)(𝑥 − 4)                                                              (3)

 3.2      Factorise the following

          3.2.1        3(𝑦 + 2) − 𝑥(𝑦 + 2)                                                         (2)

          3.2.2        4𝑥 3 − 4𝑥                                                                   (3)

 3.3      Find the value of p if (𝑥 − 4) is a factor 𝑜𝑓 𝑥 2 − 𝑝𝑥 + 20                              (3)

 3.4                  𝑥 2 +𝑥𝑦−2𝑦 2                                                                 (3)
          Simplify:
                        𝑥 2 −𝑦2
                                                                                                   [16]

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### Page 4

Grade 9                                                                    FS NOV 2022
Mathematics Test 1st Paper

 QUESTION 4

 Solve for 𝑥:

 4.1      35 + 𝑥 = 75                                                                (1)

 4.2      12𝑥 – 10 = 6𝑥 + 32                                                         (2)

 4.3      2𝑥 + 1 = 1                                                                 (2)

 4.4      𝑥−11
                  −5=
                        𝑥+2                                                          (3)
              2          6
                                                                                     [8]
 QUESTION 5

 5.1      Study the pattern below and write down the 7th and 9th term                (2)
          1       3      5
            ;1 ; 2 ;2 ; 2 ;3 ;…
          2
 5.2      Consider the pattern: 14; 12; 10; 8; …

          5.2.1       Write the general rule (𝑇𝑛 ) for the pattern.                  (2)

          5.2.2       Which term has the value of −74                                (2)

 5.3      Study the pattern below and find the general rule                          (1)

                                                                                     [7]

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### Page 5

Grade 9                                                                              FS NOV 2022
Mathematics Test 1st Paper

 QUESTION 6

 6.       The graph below shows the temperature on a certain day taken every hour.

 6.1      Is the data discrete or continuous?                                                 (1)

 6.2      Sketch the graph of 𝑦 = 2𝑥 − 4                                                      (3)

 6.3      Determine the equation of the graph below                                           (3)

                                                                                              [7]

                                                                              TOTAL           [60]

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### Page 6

Grade 9                                        FS NOV 2022
Mathematics Test 1st Paper

NAME: ___________________________________________

GRADE 9: CLASS: ______
ANNEXURE A

6.2

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