# Technical Mathematics Grade 11 P2 2023 Addendum (Eng)

> Grade 11 Technical Mathematics Paper 2 addendum from the Eastern Cape November Exam 2023 (English), 23 pages. Read online or get the free PDF download.

- Page: https://www.hlayiso.com/library/tech-math-p2-gr11-answer-booklet-nov2023-afr-english/ff885ce8-fc39-4466-9e31-8ec7da5b4edd
- Updated: 2026-09-27
- Subject: Technical Mathematics
- Grade: Grade 11
- Language: English
- Document type: Addendum
- Year: 2023
- Exam period: Eastern Cape November Exam
- Paper: 2
- Curriculum: CAPS
- Pages: 23

Breadcrumbs: [Home](https://www.hlayiso.com/) › [Library](https://www.hlayiso.com/library) › [Grade 11](https://www.hlayiso.com/library/grade-11) › [Technical Mathematics](https://www.hlayiso.com/library/grade-11/technical-mathematics) › [Technical Mathematics Grade 11 P2 2023 Addendum (Eng)](https://www.hlayiso.com/library/tech-math-p2-gr11-answer-booklet-nov2023-afr-english/ff885ce8-fc39-4466-9e31-8ec7da5b4edd)

## About this document

Technical Mathematics · Grade 11 · Eastern Cape November Exam · 2023 · English. Addendum, 23 pages. Read online or download the PDF.

Read it free online on the page above; download the PDF from there.

## Matching paper and memo

- [TECH MATH P2 QP GR11 NOV 2023 English](https://www.hlayiso.com/library/tech-math-p2-qp-gr11-nov-2023-english/b27cd84e-7df6-472c-8350-962eccaacbe9) — QP · 2023 · Eng

## Document text

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

### Page 1

Downloaded from hlayiso.com

LEARNER’S NAME/
NAAM VAN LEERDER:

CLASS / KLAS

                  NATIONAL SENIOR CERTIFICATE/
                  NASIONALE SENIORSERTIFIKAAT

                               GRADE/GRAAD 11
                               NOVEMBER 2023
TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2
 SPECIAL ANSWER BOOK/SPESIALE ANTWOORDEBOEK
                                         HOD/HVD                DISTRICT/DISTRIK           PROVINCIAL/PROVINSIAAL
QUESTION/VRAAG   MARKS/PUNTE
                                 (Level 1 mod./Vlak 1 mod.)   (Level 2 mod./Vlak 2 mod.)     (Level 3 mod./Vlak 3 mod.)
      1
      2
      3
      4
      5
      6
      7
      8
      9
      10
TOTAL/TOTAAL

                        This special answer book consists of 23 pages./
                    Hierdie spesiale antwoordeboek bestaan uit 23 bladsye.

### Page 2

Downloaded from hlayiso.com
2               TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2                       (EC/NOVEMBER 2023)

    FOLLOW THESE INSTRUCTIONS CAREFULLY               VOLG HIERDIE INSTRUKSIES NOUKEURIG
    1.   Answer ALL questions in the spaces         1. Beantwoord ALLE vrae in die ruimtes wat
         provided.                                     voorsien is.

    2.   No pages may be torn from this answer      2. Geen bladsye mag uit hierdie
         book.                                         antwoordeboek geskeur word nie.

    3.   Answers must be written in black/blue 3. Skryf die antwoorde so duidelik moontlik
         ink as distinctly as possible. Do not write met swart/blou ink. Moenie in die kantlyn
         in the margins.                             skryf nie.

    4.   Indicate the questions you have 4. Dui die vrae wat jy beantwoord het aan op
         answered by drawing a circle around the die voorblad van die antwoordeboek waar
         relevant numbers on the front cover of  die punte aangebring is, deur ŉ kringetjie
         the answer book where marks are to be   te trek om die nommers van die vrae wat jy
         recorded.                               beantwoord het.

    5.   Draw a line through any work/rough 5. Trek ŉ netjiese lyn deur enige werk/rofwerk
         work that must not be marked.         wat nie nagesien moet word nie.

    6.   In the event that you use the additional   6. Ingeval jy die bykomende ruimte wat
         space provided:                               voorsien word, gebruik:

         6.1   Write down the number of the            6.1   Skryf die nommer van die vraag neer.
               question

         6.2   Leave a line and rule off after         6.2   Laat ŉ lyn oop en trek ŉ lyn na jou
               your answer                                   antwoord

Copyright reserved/Kopiereg voorbehou                                 Please turn over/Blaai om asseblief

### Page 3

Downloaded from hlayiso.com
(EC/NOVEMBER 2023)            TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2                     3

QUESTION/VRAAG 1

          Solution/Oplossing                                                            Marks/
                                                                                        Punte
                              y

                                        P(2 ; 6)

                                                             R(6 ; 𝑘)

           Q(−1 ; 2)

                          O                                                   𝜃     x

1.1

                                                                                              (1)
1.2

                                                                                              (3)
1.3

                                                                                              (3)

Copyright reserved/Kopiereg voorbehou                          Please turn over/Blaai om asseblief

### Page 4

Downloaded from hlayiso.com
4               TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2            (EC/NOVEMBER 2023)

          Solution/Oplossing                                                           Marks/
                                                                                        Punte
1.4

                                                                                             (3)
1.5

                                                                                             (4)
1.6

                                                                                             (4)
1.7

                                                                                             (3)
1.8

                                                                                             (5)
                                                                                            [26]

Copyright reserved/Kopiereg voorbehou                      Please turn over/Blaai om asseblief

### Page 5

Downloaded from hlayiso.com
(EC/NOVEMBER 2023)           TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2                    5

QUESTION/VRAAG 2

          Solution/Oplossing                                                                Marks/
                                                                                            Punte
2.1.1

                                                                                                   (2)
2.1.2

                                                                                                   (3)
2.2.1

                                                                                                   (4)
2.2.2

                                                                                                   (2)

Copyright reserved/Kopiereg voorbehou                        Please turn over/Blaai om asseblief

### Page 6

Downloaded from hlayiso.com
6               TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2            (EC/NOVEMBER 2023)

          Solution/Oplossing                                                           Marks/
                                                                                       Punte
2.3

                                                                                             (4)
                                                                                            [15]

Copyright reserved/Kopiereg voorbehou                      Please turn over/Blaai om asseblief

### Page 7

Downloaded from hlayiso.com
(EC/NOVEMBER 2023)           TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2                             7

 QUESTION/VRAAG 3

            Solution/Oplossing                                                                       Marks/
                                                                                                     Punte
 3.1                                                1
                               cos(360° − 𝜃).               .tan⁡(360° + 𝜃)
                                              cot(180° + 𝜃)
                                        cos(180° + 𝜃).tan(180° − 𝜃)

                                                                                                             (6)
 3.2                                                   2
                                                    1      1 + 𝑠𝑖𝑛𝑥
                                        (𝑡𝑎𝑛𝑥 +        ) =
                                                  𝑐𝑜𝑠𝑥     1 − 𝑠𝑖𝑛𝑥

                                                                                                             (4)
                                                                                                            [10]

Copyright reserved/Kopiereg voorbehou                                 Please turn over/Blaai om asseblief

### Page 8

Downloaded from hlayiso.com
8               TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2            (EC/NOVEMBER 2023)

 QUESTION/VRAAG 4

            Solution/Oplossing                                                          Marks/
                                                                                        Punte
    4.1

                                                                                                 (7)
    4.2

                                                                                                 (2)
    4.3

                                                                                                 (1)
    4.4

                                                                                                 (2)
                                                                                             [12]

Copyright reserved/Kopiereg voorbehou                      Please turn over/Blaai om asseblief

### Page 9

Downloaded from hlayiso.com
(EC/NOVEMBER 2023)               TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2                     9

 QUESTION/VRAAG 5

                                                              C
                B
                          120°

                1 600 m

                          40°

                A                              2 400 m                                      D

 5.1

                                                                                                         (2)
 5.2

                                                                                                         (3)
 5.3

                                                                                                         (6)
                                                                                                        [11]
Copyright reserved/Kopiereg voorbehou                             Please turn over/Blaai om asseblief

### Page 10

Downloaded from hlayiso.com
10              TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2                       (EC/NOVEMBER 2023)

 QUESTION/VRAAG 6

            Solution/Oplossing                                                                     Marks/
                                                                                                   Punte
 6.1
                                                                                                            (1)
 6.2                                                  A

                                                    48°

                                                O
                                                𝑥
                                        1
                                        2   𝑦                 1
                               C                          2
                                                                  B

 6.2.1

                                                                                                            (2)
 6.2.2

                                                                                                            (2)
 6.3

                                                                                                            (1)

Copyright reserved/Kopiereg voorbehou                                 Please turn over/Blaai om asseblief

### Page 11

Downloaded from hlayiso.com
(EC/NOVEMBER 2023)           TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2                   11

            Solution/Oplossing                                                              Marks/
                                                                                            Punte
 6.4
                                                                  S
                                                              𝑧

                                                                      𝑥 R
                                                    O

                                        120° 1                𝑦
                      T                                           Q
                                             P

 6.4.1

                                                                                                    (2)
 6.4.2

                                                                                                    (2)
 6.4.3

                                                                                                    (2)
                                                                                                   [12]

Copyright reserved/Kopiereg voorbehou                        Please turn over/Blaai om asseblief

### Page 12

Downloaded from hlayiso.com
12              TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2            (EC/NOVEMBER 2023)

 QUESTION/VRAAG 7

            Solution/Oplossing                                                          Marks/
                                                                                        Punte
 7.1

                                                                                                 (1)
 7.2

 7.2.1

                                                                                                 (2)
 7.2.2

                                                                                                 (2)
 7.2.3

                                                                                                 (4)
 7.3

                                                                                                 (1)
Copyright reserved/Kopiereg voorbehou                      Please turn over/Blaai om asseblief

### Page 13

Downloaded from hlayiso.com
(EC/NOVEMBER 2023)           TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2                          13

            Solution/Oplossing                                                                     Marks/
                                                                                                   Punte
 7.4                                        S                                        P
                            K           1        4
                                            2 3

                                                 3
                                            2         M
                                                1 4
                                        O
                                T                     2
                                        100°              1
                                                      3
                                                          R   10°

 7.4.1

                                                                                                           (4)
 7.4.2

                                                                                                           (2)
 7.4.3

                                                                                                           (4)
                                                                                                          [20]

Copyright reserved/Kopiereg voorbehou                               Please turn over/Blaai om asseblief

### Page 14

Downloaded from hlayiso.com
14              TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2            (EC/NOVEMBER 2023)

 QUESTION/VRAAG 8

            Solution/Oplossing                                                          Marks/
                                                                                        Punte
 8.1

                                                                                                 (1)
 8.2
                                                     B

                                        E
                                             8
                                             D
                                                 𝑥
                                            12
                                                     O
                                 A

 8.2.1

                                                                                                 (1)
 8.2.2

                                                                                                 (3)
 8.2.3

                                                                                                 (4)
 8.2.4

                                                                                                 (1)
                                                                                             [10]

Copyright reserved/Kopiereg voorbehou                      Please turn over/Blaai om asseblief

### Page 15

Downloaded from hlayiso.com
(EC/NOVEMBER 2023)           TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2                     15

 QUESTION/VRAAG 9

            Solution/Oplossing                                                                Marks/
                                                                                              Punte
 9.1

                                                                                                     (3)
 9.2

                                                                                                     (4)
 9.3                                          A

                                    D                      E
                                             B
                                                 h

                                              C

                                                                                                     (6)

Copyright reserved/Kopiereg voorbehou                          Please turn over/Blaai om asseblief

### Page 16

Downloaded from hlayiso.com
16              TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2            (EC/NOVEMBER 2023)

            Solution/Oplossing                                                          Marks/
                                                                                        Punte
 9.4

                                        2m

                           𝜃                                    2,5 m

 9.4.1

                                                                                                 (3)
 9.4.2

                                                                                                 (3)
 9.4.3

                                                                                                 (5)

Copyright reserved/Kopiereg voorbehou                      Please turn over/Blaai om asseblief

### Page 17

Downloaded from hlayiso.com
(EC/NOVEMBER 2023)           TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2                   17

            Solution/Oplossing                                                              Marks/
                                                                                            Punte
 9.5

                                                 3,5 cm

                                                                                                    (5)
                                                                                                   [29]

Copyright reserved/Kopiereg voorbehou                        Please turn over/Blaai om asseblief

### Page 18

Downloaded from hlayiso.com
18              TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2                (EC/NOVEMBER 2023)

 QUESTION/VRAAG 10

            Solution/Oplossing                                                               Marks/
                                                                                             Punte

                      12 cm       𝑥 cm   13 cm   11 cm   11,8 cm    18 cm

                                                 25 cm

                                                                                                     (5)
                                                                   TOTAL/TOTAAL:                     150

Copyright reserved/Kopiereg voorbehou                          Please turn over/Blaai om asseblief

### Page 19

Downloaded from hlayiso.com
(EC/NOVEMBER 2023)           TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2                   19

         Additional Space/Addisionele Ruimte                                                 Marks/
                                                                                             Punte

Copyright reserved/Kopiereg voorbehou                        Please turn over/Blaai om asseblief

### Page 20

Downloaded from hlayiso.com
20              TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2            (EC/NOVEMBER 2023)

         Additional Space/Addisionele Ruimte                                             Marks/
                                                                                         Punte

Copyright reserved/Kopiereg voorbehou                      Please turn over/Blaai om asseblief

### Page 21

Downloaded from hlayiso.com
(EC/NOVEMBER 2023)           TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2                   21

         Additional Space/Addisionele Ruimte                                                 Marks/
                                                                                             Punte

Copyright reserved/Kopiereg voorbehou                        Please turn over/Blaai om asseblief

### Page 22

Downloaded from hlayiso.com
22              TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2            (EC/NOVEMBER 2023)

         Additional Space/Addisionele Ruimte                                             Marks/
                                                                                         Punte

Copyright reserved/Kopiereg voorbehou                      Please turn over/Blaai om asseblief

### Page 23

Downloaded from hlayiso.com
(EC/NOVEMBER 2023)           TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2                   23

         Additional Space/Addisionele Ruimte                                                 Marks/
                                                                                             Punte

Copyright reserved/Kopiereg voorbehou                        Please turn over/Blaai om asseblief

## Related documents

- [TECH MATH P2 GR11 MEMO NOV2023 Afr+English](https://www.hlayiso.com/library/tech-math-p2-gr11-memo-nov2023-afr-english/3e3febcf-e62a-462a-8337-10f46fe74e81) — Technical Mathematics · Memo · 2023 · Eng
- [TECH MATHS P1 MEMO GR11 NOV2023 Afr+English](https://www.hlayiso.com/library/tech-maths-p1-memo-gr11-nov2023-afr-english/6cde6c40-7792-46ba-9645-e609ed8c2d83) — Technical Mathematics · Memo · 2023 · Eng
- [TECH MATHS P1 QP GR11 NOV2023 English](https://www.hlayiso.com/library/tech-maths-p1-qp-gr11-nov2023-english/23847445-90bc-4112-a3f4-acf5c0c9f3e3) — Technical Mathematics · QP · 2023 · Eng
- [Grade 11 Technical Mathematics P2 November 2026 Mock 2 Memo](https://www.hlayiso.com/library/grade-11-technical-mathematics-2026-november-mock-exam-2-memorandum-paper-2/4494d07c-a4e9-4173-88f2-be51a52ddca5) — Technical Mathematics · Memo · 2026 · Eng
- [Grade 11 Technical Mathematics P2 November 2026 Mock 2](https://www.hlayiso.com/library/grade-11-technical-mathematics-2026-november-mock-exam-2-question-paper-paper-2/10aa5488-4c7d-4935-8857-d86b7652dd1f) — Technical Mathematics · QP · 2026 · Eng
- [Grade 11 Technical Mathematics P1 November 2026 Mock 2 Memo](https://www.hlayiso.com/library/grade-11-technical-mathematics-2026-november-mock-exam-2-memorandum-paper-1/27473a72-3ee0-409d-a405-80b606736a37) — Technical Mathematics · Memo · 2026 · Eng

## More from Grade 11 Technical Mathematics

- [Grade 11 Technical Mathematics P1 November 2026 Mock 2](https://www.hlayiso.com/library/grade-11-technical-mathematics-2026-november-mock-exam-2-question-paper-paper-1/74f77288-302d-48bd-be7c-e97cdf4868f4) — QP · 2026 · Eng
- [Gr 11 Tech Math ATP 2023-24](https://www.hlayiso.com/library/gr-11-tech-math-atp-2023-24/a340f1ca-d9df-47ad-b83a-a61d73635731) — ATP
- [Grade 11 Tech Math (Learner Book) Eng](https://www.hlayiso.com/library/grade-11-tech-math-learner-book-eng/e7ee6405-6aa3-4bf3-bcae-18434da04430) — Textbook · Eng
- [TECH MATHS G11 LB m01](https://www.hlayiso.com/library/tech-maths-g11-lb-m01/4c7c2a64-b0c2-4a60-93b7-19462c110221) — Textbook
- [TECH MATHS G11 LB m05 AFR2](https://www.hlayiso.com/library/tech-maths-g11-lb-m05-afr2/48842861-f8f3-4f31-8902-ea599124a6d0) — Textbook

## Collection

- [Grade 11 past papers](https://www.hlayiso.com/grade-11/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.
