# Mathematics Grade 9 Paper 1 Eastern Cape November 2023 Memo

> Grade 9 Mathematics Paper 1 memorandum from the Eastern Cape November Exam 2023, 5 pages. Read online or download the free PDF.

- Page: https://www.hlayiso.com/library/grade-9-mathematics-2023-eastern-cape-november-exam-memorandum-paper-1/d861a818-c82a-4cdc-964c-60cf68af5943
- Updated: 2026-09-28
- Subject: Mathematics
- Grade: Grade 9
- Document type: Memorandum
- Year: 2023
- Exam period: Eastern Cape November Exam
- Paper: 1
- Curriculum: CAPS
- Pages: 5

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## About this document

Mathematics · Grade 9 · Eastern Cape November Exam · 2023. Memorandum, 5 pages. Read online or download the PDF.

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## Document text

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### Page 1

O.R.TAMBO INLAND DISTRICT

                      SENIOR PHASE

                            GRADE 9

                  NOVEMBER 2023

  MATHEMATICS
     PAPER 1
MARKING GUIDELINE
MARKS: 75

                      This marking guideline consists of 5 pages.
                                          .

### Page 2

November 2023          Mathematics Grade 9 Paper 1    Marking guideline     O.R.T.I.District

QUES                                             SOLUTION                                             Total
No.
                                                QUESTION 1

1.1      B ✓                                                                                           (1)
1.2      C✓                                                                                            (1)
1.3      C✓                                                                                            (1)
1.4      D✓                                                                                            (1)
1.5      C✓                                                                                            (1)
1.6      D✓                                                                                            (1)
1.7      C✓                                                                                            (1)
1.8      B✓                                                                                            (1)
1.9      D✓                                                                                            (1)
1.10     B✓                                                                                            (1)
                                                                                                      [10]
                                                QUESTION 2

2.1
         2.1.1                                                                                         (2)

         2.1.2   Direct. As the time goes up, the number of apples collected increases. ✓              (1)

         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?
                    𝑑
                 𝑡=𝑠✓
                        9𝑘𝑚
                  = 40𝑘𝑚/ℎ
                  = 0,225/ℎ × 60 𝑚𝑖𝑛𝑢𝑡𝑒𝑠 ✓
                 𝑡 = 13,5 𝑚𝑖𝑛𝑢𝑡𝑒𝑠 ✓
         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
                               𝑟   𝑛
                 𝐴 = 𝑃 (1 + 100) ✓
                                𝑟 3
                 = 15 000 (1 +     )
                               100
                 = 15 000(1,56)
                 𝐴 = 23 413,44 ✓
                 𝑖 = 23 413,44 − 15 000
                 𝑖 = 8 413,44 ✓
2.2      2.2.1   1×1+1=2                                                                               (1)
                 2×2+1=5
                 Square the position of a number and add 1. ✓

       2|Page

### Page 3

November 2023            Mathematics Grade 9 Paper 1   Marking guideline   O.R.T.I.District

         2.2.2   10 × 10 + 1✓ = 101 ✓                                                                (2)
2.3
         2.3.1                                                                                       (1)

         2.3.2   5×1+2=7                                                                             (2)
                 5 × 2 + 2 = 12
                 5 × 3 + 2 = 17
                 ∴ 𝑇𝑛 = 5𝑛✓ + 2 ✓
         2.3.3
             (i) 5 × 5 + 2 = 27                                                                      (2)
             (ii) 5𝑛 + 2 = 62 ✓
                  5𝑛 = 60
                   𝑛 = 12 ✓
 2.4     Determine the value of 216÷ 27 in an exponential form.                                      (2)
         = 23 × 33 ÷ 33 ✓
         = 23 × 33−3
         = 23 × 1
         ∴ 216 ÷ 27 = 23 ✓
 2.5
                     (2𝑑2 𝑒)2                                                                        (3)
         2.5.1
                 (4𝑑 −3 𝑒 −2 )−1

                         ✓
                 4𝑑4 𝑒 2
                         = 𝑑 × 𝑒0
                 4𝑑3 𝑒 2 ✓

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

                      3𝑥 ×5𝑥 ×3𝑥+1 ×52𝑥 ✓
                 =
                          32𝑥+2 ×53𝑥 ✓

                 = 3𝑥+𝑥+1 × 5𝑥+2𝑥 ÷ 32𝑥+2 × 53𝑥
                 = 3−1 × 50
                          1
                 = 3−1 𝑜𝑟 3 ✓

         2.5.3
                 3
                 √(20𝑥 − 15𝑥)3                 or   = 20𝑥 − 15𝑥 ✓                                    (2)
                   3
                 = √5𝑥 3 ✓                          = 5𝑥 ✓
                 = 5𝑥 ✓

       3|Page

### Page 4

November 2023          Mathematics Grade 9 Paper 1   Marking guideline   O.R.T.I.District

        2.5.4  −2(𝑥 + 1)(𝑥 + 2) + 2(𝑥 + 2)2                                                       (4)
        = −2(𝑥 2 + 3𝑥 + 2)✓ + 2(𝑥 2 + 4𝑥 + 4) ✓
        = −2𝑥 2 − 6𝑥 − 4 + 2𝑥 2 + 8𝑥 + 8
        = 2𝑥✓ + 4✓
        2.5.5
                                                                                                  (3)

2.6
        2.6.1    𝑥 2 + 5𝑥 + 6                                                                     (2)
                 = (𝑥 − 3)✓(𝑥 − 2) ✓

        2.6.2    3𝑥 2 − 27                                                                        (3)
                = 3(𝑥 2 − 9) ✓
                 = 3(𝑥 − 3)✓(𝑥 + 3) ✓

2.7     Mrs G has 12 children. Each child needs 36 crayons. How many crayons must she             (2)
        buy?
        36 × 12✓ = 432
        Mrs G must buy 432 crayons. ✓

2.8     If 𝑦 = 2𝑥 2 + 4𝑥 + 3, determine the value of y when 𝑥 = −2.                               (3)
        𝑦 = 2(−2)2 + 4(−2) + 3
        𝑦 = 8−8+3 ✓✓                             1 mark : 8 and 1 mark: −8
        𝑦=3 ✓

2.9
                         1                                                                        (3)
        2.9.1    22𝑥−2 = 64
                 22𝑥−2 = 64−1
                 22𝑥−2 = 2−6 ✓
                2𝑥 − 2 = −6
                     2𝑥 = −4 ✓
                 ∴𝑥     = −2 ✓

                 2𝑥      13                                                                       (4)
        2.9.2      +1= 5
                 5
                 2𝑥+5   13
                   = 5 ✓
                  5
            5(2𝑥 + 5) = 5 × 13 ✓
            10𝑥 + 25 = 65 ✓
                10 𝑥 = 40
                 ∴ 𝑥 =4 ✓

                                                                                                  [52]

      4|Page

### Page 5

November 2023     Mathematics Grade 9 Paper 1   Marking guideline   O.R.T.I.District

                                            QUESTION 3

3.1
         3.1.1 +4 ✓                                                                          (1)
         3.1.2 4 ✓ ✓                                                                         (2)
         3.1.3 −5 ✓ ✓                                                                        (2)
3.2
         3.2.1
                                                                                             (2)

         3.2.2 𝑥 − 𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡 𝑖𝑠 (2 ; 0) ✓                                                    (2)
               𝑦 − 𝑖𝑛𝑡𝑒𝑟𝑐𝑒𝑝𝑡 𝑖𝑠 (0 ; 4) ✓

         3.2.3 The gradients are parallel ✓because they are equidistant from each other. ✓   (2)
3.3
         3.3.1 Graph AB is 𝑦 = 𝑥 ✓                                                           (1)
         3.3.2 Graph CD is 𝑥 = −2 ✓                                                           (1)
                                                                                             [13]

                                              END

      5|Page

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