# Mathematics Grade 10 P1 November Mock Exam 2 2026 Memo (Eng)

> Grade 10 Mathematics Paper 1 memorandum from the November Mock Exam 2 2026 (English), 8 pages. Read online or download the free PDF.

- Page: https://www.hlayiso.com/library/grade-10-mathematics-2026-november-mock-exam-2-memorandum-paper-1/b2d7d16e-7bec-48c8-8bc7-440c4f3ca7be
- Updated: 2026-10-29
- Subject: Mathematics
- Grade: Grade 10
- Language: English
- Document type: Memorandum
- Year: 2026
- Exam period: November Mock Exam 2
- Paper: 1
- Publisher: Hlayiso
- Curriculum: CAPS
- Pages: 8

Breadcrumbs: [Home](https://www.hlayiso.com/) › [Library](https://www.hlayiso.com/library) › [Grade 10](https://www.hlayiso.com/library/grade-10) › [Mathematics](https://www.hlayiso.com/library/grade-10/mathematics) › [Mathematics Grade 10 P1 November Mock Exam 2 2026 Memo (Eng)](https://www.hlayiso.com/library/grade-10-mathematics-2026-november-mock-exam-2-memorandum-paper-1/b2d7d16e-7bec-48c8-8bc7-440c4f3ca7be)

## About this document

Mathematics · Grade 10 · November Mock Exam 2 · 2026 · English. Memorandum, 8 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

Mock

                             hlayiso mock exams
                             Practice Series:
                             Grade 10 Exam Preparation
                             WWW.HLAYISO.COM

                                  NATIONAL
                             SENIOR CERTIFICATE

                                     GRADE 10

                                 MATHEMATICS P1
                     NOVEMBER EXAMINATION 2026 (MOCK)
                              MARKING GUIDELINES

MARKS: 100

                       These marking guidelines consist of 8 pages.

Copyright reserved                                                    Please turn over

### Page 2

Mathematics/P1                                 2                                    Hlayiso/Mock 2026
                                   NSC Mock – Marking Guidelines

NOTE:

    • If a candidate answers a question TWICE, only mark the FIRST attempt.
    • If a candidate has crossed out an attempt of a question and not redone the question, mark the
      crossed-out version.
    • Consistent accuracy (CA) applies in ALL aspects of the marking guidelines. Stop marking at the
      second calculation error.
    • Assuming answers/values in order to solve a problem is NOT acceptable.
    • The mark for substitution is awarded for substitution into the correct formula.

QUESTION 1

 1.1.1       = 9x2 − 12x + 4 − (x2 − 16)                               ✓ both expansions
             = 8x2 − 12x + 20                                          ✓ answer                    (2)

                 3          x − 10
 1.1.2       =       −                                                 ✓ (x − 2)(x + 2)
               x + 2 (x − 2)(x + 2)
                                                                       ✓ 3(x − 2) − (x − 10)
               3(x − 2) − (x − 10)                                     ✓ 2(x + 2)
             =
                  (x − 2)(x + 2)
                   2x + 4          2(x + 2)                            ✓ answer                    (4)
             =                 =
               (x − 2)(x + 2) (x − 2)(x + 2)
                 2
             =
               x−2
              2x+1 .3x+1 .2x+1
 1.1.3       =                                                         ✓ prime bases
                 22x .3x .3
               2x+2                                                    ✓ simplifying exponents
              2     .3x+1
             = 2x x+1                                                  ✓ answer                (3)
               2 .3
               2
             =2 =4
             (       )
                   1 2
 1.2.1         a−        = 32
                   a
                                                                       ✓ a2 − 2 + a12 = 9
                       1                                               ✓ answer
             a2 − 2 + 2 = 9                                                                        (2)
                       a
                   1
             a2 + 2 = 11
                  a
             (         )
                     1 2             1
 1.2.2          2
               a + 2      = a4 + 2 + 4 = 121
                     a              a
                                                                       ✓ answer (CA from 1.2.1)(1)
                   1
             a4 + 4 = 121 − 2 = 119
                  a

Copyright reserved                                                                      Please turn over

### Page 3

Mathematics/P1                                 3                                 Hlayiso/Mock 2026
                                   NSC Mock – Marking Guidelines

 1.3.1       = 3x(x2 − 4)                                            ✓ 3x(x2 − 4)
             = 3x(x − 2)(x + 2)                                      ✓ answer                   (2)

 1.3.2       = 25 − (x2 − 6xy + 9y2 )                                ✓ grouping
             = 25 − (x − 3y)2                                        −(x2 − 6xy + 9y2 )
             = (5 − x + 3y)(5 + x − 3y)                              ✓ (x − 3y)2
                                                                     ✓ answer                   (3)

                                                                                               [17]

QUESTION 2

 2.1.1       3x2 − x − 10 = 0                                        ✓ standard form
             (3x + 5)(x − 2) = 0                                     ✓ factors
                   5                                                 ✓ both answers             (3)
             x=−       or x = 2
                   3

 2.1.2       2x .22 + 2x = 40
             2x (4 + 1) = 40                                         ✓ common factor 2x (4 + 1)
             2x = 8 = 23                                             ✓ 2x = 8
             x=3                                                     ✓ answer                 (3)

 2.2.1       ×6: 2(2x + 1) − 3(x − 2) < 12                           ✓ multiplying by LCD 6
             4x + 2 − 3x + 6 < 12                                    ✓ expanding correctly
             x<4                                                     ✓ answer               (3)

 2.2.2       x=3                                                     ✓ answer (CA from 2.2.1)(1)

 2.3         x + y = 160 …(1)      45x + 25y = 5 200 …(2)            ✓ both equations
             From (1): y = 160 − x
             45x + 25(160 − x) = 5 200                               ✓ substitution / elimination
             20x + 4 000 = 5 200
             x = 60 and y = 160 − 60 = 100                           ✓ x = 60
             60 braai packs and 100 boerewors rolls were sold.       ✓ y = 100                  (4)
             OR elimination: (1) × 25: 25x + 25y = 4 000; subtract
             from (2): 20x = 1 200 …

                                                                                               [14]

Copyright reserved                                                                   Please turn over

### Page 4

Mathematics/P1                                 4                                Hlayiso/Mock 2026
                                   NSC Mock – Marking Guidelines

QUESTION 3

 3.1.1       T2 − T1 = T3 − T2                                     ✓ equating the common
             (3x + 4) − (5x − 1) = (4x − 3) − (3x + 4)             differences
             −2x + 5 = x − 7
             −3x = −12                                             ✓ −2x + 5 = x − 7
             x=4                                                   ✓ −3x = −12
                                                                   (x = 4 is given; no mark for
                                                                   the final line.)           (3)

 3.1.2       Terms: 19 ; 16 ; 13 d = −3                            ✓ −3n
             Tn = 19 + (n − 1)(−3)                                 ✓ +22                      (2)
             Tn = −3n + 22

 3.1.3       −3n + 22 = −131                                       ✓ equating
             −3n = −153                                            ✓ answer                   (2)
             n = 51 ∴ the 51st term

 3.1.4       −3n + 22 < 0                                          ✓n=8
             n > 7,33 ∴ n = 8                                      ✓ T8 = −2                  (2)
             T8 = −3(8) + 22 = −2

 3.2.1       The word has 7 letters.                               ✓ 7 × 35 + 5 (remainder 5)
             250 = 7 × 35 + 5                                      ✓O                       (2)
             The 250th letter is the 5th letter of LIMPOPO: O

 3.2.2       Each word has 2 O’s: 35 × 2 = 70                      ✓ 70
             Letters 246 to 250: L I M P O (1 more O)              ✓ 71                       (2)
             Total = 71

                                                                                             [13]

Copyright reserved                                                                 Please turn over

### Page 5

Mathematics/P1                                  5                                 Hlayiso/Mock 2026
                                    NSC Mock – Marking Guidelines

QUESTION 4

 4.1.1       Deposit = 0,15 × 14 500 = R2 175                       ✓ R2 175
             Balance = 14 500 − 2 175 = R12 325                     ✓ R12 325                    (2)

 4.1.2       A = P(1 + ni)
             A = 12 325(1 + 2 × 0,18) = R16 762                     ✓ substitution
                           16 762                                   ✓ R16 762
             Instalment =         = R698,42                         ✓ dividing by 24
                             24
             Total monthly payment = 698,42 + 85 = R783,42          ✓ answer                     (4)

 4.2         4 × $135 = $540                                        ✓ $540
             540 × 17,85 = R9 639                                   ✓ R9 639                     (2)

 4.3         A = P(1 + i)n
             23 000 = P(1 + 0,09)5                                  ✓ substitution
                  23 000                                            ✓ P the subject
             P=
                  (1,09)5                                           ✓ answer                     (3)
             P = R14 948,42

                                                                                                [11]

QUESTION 5

 5.1         q = −2                                                 ✓ answer                     (1)

                      a
 5.2         f (x) = − 2; subst. P(4 ; −1):
                      x
                    a                                               ✓ substitution of P
             −1 = − 2                                               ✓ 4a = 1                     (2)
                    4
             a
                =1
             4
             a=4

               4
 5.3         0=  −2                                                 ✓ f (x) = 0
               x
                                                                    ✓ A(2 ; 0)                   (2)
             x=2    A(2 ; 0)

                  0 − (−4)
 5.4         m=            =2        c = −4                         ✓m=2
                    2−0
                                                                    ✓ equation                   (2)
             g(x) = 2x − 4

Copyright reserved                                                                    Please turn over

### Page 6

Mathematics/P1                                    6                                Hlayiso/Mock 2026
                                      NSC Mock – Marking Guidelines

             4
 5.5           − 2 = 2x − 4                                           ✓ equating
             x
             ×x: 4 − 2x = 2x2 − 4x
                                                                      ✓ standard form
             2x2 − 2x − 4 = 0 ⇒ x2 − x − 2 = 0
             (x − 2)(x + 1) = 0
                                                                      ✓ x = −1
             x = −1 (x = 2 at A)
                                                                      ✓ y = −6                   (4)
             y = 2(−1) − 4 = −6    E(−1 ; −6)

 5.6         x ≤ −1 or        0<x≤2                                   ✓ x ≤ −1
                                                                      ✓0<x
                                                                      ✓x≤2
                                                                      (Penalise 1 mark for 0 ≤ x.)
                                                                      (3)

                     4
 5.7         k(x) = − + 2                                             ✓ answer                   (1)
                     x

                                                                                                [15]

QUESTION 6

             1 2
 6.1           x −2 = 0
             2
                                                                      ✓ x2 = 4
             x2 = 4
                                                                      ✓ both intercepts          (2)
             x = ±2     (−2 ; 0) and (2 ; 0)

 6.2                          y                                       ✓ turning point (0 ; −2) and
                                        p                             x-intercepts
                                                                      ✓ shape (minimum,
                                                                      symmetric about the y-axis)
                                                                      (2)

                                                  x
              (−2 ; 0)                  (2 ; 0)

                                  (0 ; −2)

 6.3         y ≥ −2      OR   p(x) ≥ −2      OR       y ∈ [−2 ; ∞)    ✓ answer                   (1)

 6.4         k < −2                                                   ✓ answer                   (1)

Copyright reserved                                                                    Please turn over

### Page 7

Mathematics/P1                                 7                                Hlayiso/Mock 2026
                                   NSC Mock – Marking Guidelines

 6.5         Turning point (0 ; −2); positive x-intercept (2 ; 0)
                  0 − (−2)                                          ✓m=1
             m=             =1      c = −2                          ✓ y = x−2                   (2)
                    2−0
             y = x−2

                                                                                                [8]

QUESTION 7

 7.1         y < 4 OR      h(x) < 4    OR        y ∈ (−∞ ; 4)       ✓ answer                    (1)

 7.2         0 = −2x + 4
             2x = 4 = 22                                            ✓ 2x = 4
             x=2       (2 ; 0)                                      ✓ (2 ; 0)                   (2)

 7.3                           y                                    ✓ asymptote y = 4
                                                                    ✓ both intercepts
                                   y=4                              ✓ shape (decreasing, below
                                                                    the asymptote)           (3)
                     (0 ; 3)

                                             x
                                      (2 ; 0)

                                        h

 7.4         −2x + 4 > 3
             2x < 1 = 20
             x<0                                                    ✓x<0                        (1)

                                                                                                [7]

QUESTION 8

 8.1.1       P(A or B) = P(A) + P(B) − P(A and B)                   ✓ substitution
             = 0,45 + 0,3 − 0,12
             = 0,63                                                 ✓ answer                    (2)

Copyright reserved                                                                   Please turn over

### Page 8

Mathematics/P1                                    8                                Hlayiso/Mock 2026
                                      NSC Mock – Marking Guidelines

 8.1.2        S                                                       ✓ 0,12 in the intersection
                     A                     B                          ✓ 0,33 and 0,18
                                                                      ✓ 0,37 outside (CA from
                     0,33     0,12   0,18                             8.1.1)                     (3)

                                               0,37

 8.1.3       No. P(A and B) = 0,12 ̸= 0                               ✓ No with reason           (1)

 8.2.1       Let x = number who use both:
             (28 − x) + x + (22 − x) + 7 = 50                         ✓ equation
             57 − x = 50
             x=7                                                      ✓x=7                       (2)

 8.2.2        U                                                       ✓ 7 in the intersection
                     T                     W                          ✓ 21 and 15
                                                                      ✓ 7 outside                (3)
                         21    7      15

                                                 7
             (U: the 50 learners.)

 8.2.3       n(exactly one) = 21 + 15 = 36                            ✓ 36
                 36 18                                                ✓ answer                   (2)
             P=      =     = 0,72
                 50 25

 8.3         P(C) + P(D) = 1                                          ✓ P(C) + P(D) = 1
             2P(D) + P(D) = 1
                     1                                                ✓ answer                   (2)
             P(D) =
                     3

                                                                                                [15]

                                                                                    TOTAL:       100

Copyright reserved

## Related documents

- [MATHS P1 GR10 MEMO NOV2020 Afr+Engl](https://www.hlayiso.com/library/maths-p1-gr10-memo-nov2020-afr-engl/64cff9d8-8481-482f-aea1-c19731dab929) — Mathematics · Memo · 2020 · Eng
- [Gr10 Math P1 (English) June 2018 Possible Answer](https://www.hlayiso.com/library/gr10-math-p1-english-june-2018-possible-answer/c7e9b1a7-d752-4662-8fa4-b9eb6e9b2078) — Mathematics · Memo · 2018 · Eng
- [Gr10 Math P1 (English) June 2017 Possible Answers](https://www.hlayiso.com/library/gr10-math-p1-english-june-2017-possible-answers/f0410453-7885-46f5-8a4d-6521771a981d) — Mathematics · Memo · 2017 · Eng
- [Gr 10 Mathematics P1 (English) June 2024 Question Paper](https://www.hlayiso.com/library/gr-10-mathematics-p1-english-june-2024-question-paper/f3793ce3-e07c-4539-b525-ae281a304900) — Mathematics · QP · 2024 · Eng
- [Gr 10 Math P1 (English) June 2023 Question Paper](https://www.hlayiso.com/library/gr-10-math-p1-english-june-2023-question-paper/118ff241-0ff9-4f35-988f-c7760463f25d) — Mathematics · QP · 2023 · Eng
- [Gr 10 Mathematics P1 (English) 023 Question Paper](https://www.hlayiso.com/library/gr-10-mathematics-p1-english-023-question-paper/f8b52585-a2cc-458b-9dfa-0c1833a3dfa6) — Mathematics · QP · 2023 · Eng

## More from Grade 10 Mathematics

- [Gr 10 Maths ATP 2023-24](https://www.hlayiso.com/library/gr-10-maths-atp-2023-24/80c1c337-e011-4b8b-a37b-d2e0df9daaf6) — ATP
- [KZN Maths Grade 10 June 2025 P1 and Memo](https://www.hlayiso.com/library/kzn-maths-grade-10-june-2025-p1-and-memo/dc5ae33f-46ec-4eae-b577-25a82956eaec) — QP + Memo · 2025
- [KZN Maths Grade 10 March 2025 QP and Memo](https://www.hlayiso.com/library/kzn-maths-grade-10-march-2025-qp-and-memo/bc27cbbf-ec6d-4c60-bf7e-25a154d363e4) — QP + Memo · 2025
- [KZN Maths Grade 10 November 2025 P1 and Memo](https://www.hlayiso.com/library/kzn-maths-grade-10-november-2025-p1-and-memo/ece9abee-2009-4e22-8de3-34ccb229e5cb) — QP + Memo · 2025
- [KZN Maths Grade 10 November 2025 P2 and Memo](https://www.hlayiso.com/library/kzn-maths-grade-10-november-2025-p2-and-memo/417e9b18-c39d-4fb2-9e32-c089e8fbfd22) — QP + Memo · 2025
- [Gr 10 Mathematics P2 (English) June 2024 Question Paper](https://www.hlayiso.com/library/gr-10-mathematics-p2-english-june-2024-question-paper/b92d4e62-fb6d-4b45-9798-0ce101056196) — QP · 2024 · Eng

## Collection

- [Grade 10 past papers](https://www.hlayiso.com/grade-10/past-papers)

---

Hlayiso: free CAPS and IEB past papers, memos, notes and study guides for South African learners. When citing, link the page URL above, not a PDF or /api/ URL.
