# Mathematics Grade 12 P2 GP Prelim 2023 Addendum (English) > Grade 12 Mathematics Paper 2 addendum from the GP Prelim 2023 (English), 28 pages. Read online or get the free PDF download. - Page: https://www.hlayiso.com/library/mathematics-p2-english-answer-book/7726d5b6-2aec-472a-8f65-313f99d570aa - Updated: 2026-09-27 - Subject: Mathematics - Grade: Grade 12 - Language: English - Document type: Addendum - Year: 2023 - Exam period: GP Prelim - Paper: 2 - Curriculum: CAPS - Pages: 28 Breadcrumbs: [Home](https://www.hlayiso.com/) › [Library](https://www.hlayiso.com/library) › [Grade 12](https://www.hlayiso.com/library/grade-12) › [Mathematics](https://www.hlayiso.com/library/grade-12/mathematics) › [Mathematics Grade 12 P2 GP Prelim 2023 Addendum (English)](https://www.hlayiso.com/library/mathematics-p2-english-answer-book/7726d5b6-2aec-472a-8f65-313f99d570aa) ## About this document Mathematics · Grade 12 · GP Prelim · 2023 · English. Addendum, 28 pages. Read online or download the PDF. Read it free online on the page above; download the PDF from there. ## Matching paper and memo - [Mathematics P2 (English) QP](https://www.hlayiso.com/library/mathematics-p2-english-qp/484d317b-3177-4b73-b05a-5cb2a2cacf34) — QP · 2023 · Eng ## Document text Text extracted from the PDF. Layout, diagrams and tables may not survive extraction. ### Page 1 Downloaded from hlayiso.com PREPARATORY EXAMINATION Answer Book VOORBEREIDENDE EKSAMEN-Antwoordboek 2023 CANDIDATE'S NAME KANDIDAAT SE NAAM DATE BOOK NUMBER OF BOOKS DATUM BOEKNOMMER VAN BOEKE TEACHER PAPER NUMBER ONDERWYSER VRAESTELNOMMER 2 SUBJECT NAME VAKNAAM MATHEMATICS/WISKUNDE (10612) 27 pages/bladsye MODERATOR'S INITIALS IN RELEVANT BLOCK RE-MARK/RE-CHECK MARKER/NASIENER MODERATOR SE PARAAF IN BETROKKE HERNASIEN/HERKONTROLEER BLOKKIE Marker's Code & Initials/ Question Marks Marks Question Marks Initials Nasiener se Vraag Punte Punte Vraag Punte Paraaf Kode en Voorletters 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 TOTAL TOTAL TOTAAL TOTAAL READ INSTRUCTIONS ON THE NEXT PAGE. LEES INSTRUKSIES OP DIE VOLGENDE BLADSY. ### Page 2 Downloaded from hlayiso.com MATHEMATICS/WISKUNDE (PAPER/VRAESTEL 2) 2 (ANSWER BOOK/ANTWOORDBOEK) 10612/23 FOLLOW THESE INSTRUCTIONS VOLG HIERDIE INSTRUKSIES NOUKEURIG CAREFULLY 1. Write your full names and surname 1. Skryf jou volle naam en van duidelik in die clearly in the space provided. spasie wat voorsien is. 2. Answer ALL questions in the spaces 2. Beantwoord AL die vrae in die ruimtes wat provided. voorsien is. 3. No pages may be torn from this answer 3. Geen bladsye mag uit hierdie antwoordboek book. geskeur word nie. 4. Candidates may not retain an answer 4. Geen antwoordboek mag deur die kandidaat book or remove it from the examination behou of uit die eksamenlokaal verwyder word room. Answer books must be returned to nie. Antwoordboeke moet aan die toesighouer the invigilator at the end of the terugbesorg word aan die einde van die examination session. eksamensessie. 5. Answers must be written in black/blue 5. Skryf die antwoorde so duidelik moontlik met ink as distinctly as possible. Do not write swart/blou ink. Moenie in die kantlyne skryf in the margins. nie. 6. Indicate the questions you have answered 6. Dui die vrae wat jy beantwoord het aan op die by drawing a circle around the relevant voorblad van die antwoordboek waar die numbers on the front cover of the answer punte aangebring word, deur ʼn kringetjie te book where marks are to be recorded. trek om die nommers van die vrae wat jy beantwoord het. 7. Rule off through any work/rough work 7. Trek ʼn netjiese lyn deur enige werk/rofwerk that must not be marked. wat nie nagesien moet word nie. 8. In the event that you use the additional 8. Ingeval jy die bykomende ruimte wat voorsien space provided: word, gebruik: 8.1 Write down the number of the 8.1 Skryf die nommer van die vraag neer. question. 8.2 Laat ʼn lyn oop en trek ʼn lyn na jou 8.2 Leave a line and rule off after your antwoord. answer. P.T.O./b.o. ### Page 3 Downloaded from hlayiso.com MATHEMATICS/WISKUNDE (PAPER/VRAESTEL 2) 3 (ANSWER BOOK/ANTWOORDBOEK) 10612/23 QUESTION/VRAAG 1 TIME SPENT ON INSTAGRAM (in minutes) 30 45 58 63 75 90 TYD GESPANDEER OP INSTAGRAM (in minute) TIME SPENT ON TIKTOK (in minutes) 40 55 70 60 90 100 TYD GESPANDEER OP TIKTOK (in minute) SCATTER PLOT/ SPREIDIAGRAM 120 Time spent on TikTok/ 100 80 Tyd gespandeer op TikTok 60 40 (in minutes/in minute) 20 0 0 20 40 60 80 100 Time spent on Instagram/ Tyd gespandeer op Instagram (in minutes/in minute) Marks Solution/Oplossing Punte 1.1 (1) 1.2 (1) 1.3 (3) 1.4 (2) 1.5 (3) [10] P.T.O./b.o. ### Page 4 Downloaded from hlayiso.com MATHEMATICS/WISKUNDE (PAPER/VRAESTEL 2) 4 (ANSWER BOOK/ANTWOORDBOEK) 10612/23 QUESTION/VRAAG 2 CUMULATIVE FREQUENCY GRAPH (OGIVE)/ KUMULATIEWE FREKWENSIEGRAFIEK (OGIEF) 30 25 Cumulative frequency/ (250; 25) 20 (200; 23) 15 (150; 15) Kumulatiewe frekwensie 10 (100; 9) 5 (50; 3) 0 10 50 100 150 200 250 Money spent (in Rands)/ Geld gespandeer (in Rand) Marks Solution/Oplossing Punte 2.1.1 (1) 2.1.2 (2) 2.1.3 (2) P.T.O./b.o. ### Page 5 Downloaded from hlayiso.com MATHEMATICS/WISKUNDE (PAPER/VRAESTEL 2) 5 (ANSWER BOOK/ANTWOORDBOEK) 10612/23 Marks Solution/Oplossing Punte 2.2 (4) [9] P.T.O./b.o. ### Page 6 Downloaded from hlayiso.com MATHEMATICS/WISKUNDE (PAPER/VRAESTEL 2) 6 (ANSWER BOOK/ANTWOORDBOEK) 10612/23 QUESTION/VRAAG 3 Marks Solution/Oplossing Punte 3.1 (2) 3.2 (2) P.T.O./b.o. ### Page 7 Downloaded from hlayiso.com MATHEMATICS/WISKUNDE (PAPER/VRAESTEL 2) 7 (ANSWER BOOK/ANTWOORDBOEK) 10612/23 Marks Solution/Oplossing Punte 3.3 (2) 3.4 (4) 3.5 (3) P.T.O./b.o. ### Page 8 Downloaded from hlayiso.com MATHEMATICS/WISKUNDE (PAPER/VRAESTEL 2) 8 (ANSWER BOOK/ANTWOORDBOEK) 10612/23 Marks Solution/Oplossing Punte 3.6 (3) 3.7 (5) [21] P.T.O./b.o. ### Page 9 Downloaded from hlayiso.com MATHEMATICS/WISKUNDE (PAPER/VRAESTEL 2) 9 (ANSWER BOOK/ANTWOORDBOEK) 10612/23 QUESTION/VRAAG 4 C  O  B Marks Solution/Oplossing Punte 4.1 (3) 4.2 (2) P.T.O./b.o. ### Page 10 Downloaded from hlayiso.com MATHEMATICS/WISKUNDE (PAPER/VRAESTEL 2) 10 (ANSWER BOOK/ANTWOORDBOEK) 10612/23 Marks Solution/Oplossing Punte 4.3 (5) 4.4 (3) 4.5 (2) 4.6 (5) [20] P.T.O./b.o. ### Page 11 Downloaded from hlayiso.com MATHEMATICS/WISKUNDE (PAPER/VRAESTEL 2) 11 (ANSWER BOOK/ANTWOORDBOEK) 10612/23 QUESTION/VRAAG 5 y T(a ; b) P(12 ; 5) 𝜃 O S x Marks Solution/Oplossing Punte 5.1.1 (1) 5.1.2 (2) 5.1.3 (4) P.T.O./b.o. ### Page 12 Downloaded from hlayiso.com MATHEMATICS/WISKUNDE (PAPER/VRAESTEL 2) 12 (ANSWER BOOK/ANTWOORDBOEK) 10612/23 Marks Solution/Oplossing Punte 5.2 (6) 5.3 (3) 5.4.1 (4) P.T.O./b.o. ### Page 13 Downloaded from hlayiso.com MATHEMATICS/WISKUNDE (PAPER/VRAESTEL 2) 13 (ANSWER BOOK/ANTWOORDBOEK) 10612/23 Marks Solution/Oplossing Punte 5.4.2 (2) 5.5.1 (2) 5.5.2 (2) [26] QUESTION/VRAAG 6 Marks Solution/Oplossing Punte 6.1 (4) 6.2 (3) P.T.O./b.o. ### Page 14 Downloaded from hlayiso.com MATHEMATICS/WISKUNDE (PAPER/VRAESTEL 2) 14 (ANSWER BOOK/ANTWOORDBOEK) 10612/23 Marks Solution/Oplossing Punte 6.3.1 (1) 6.3.2 (3) 6.3.3 (a) (2) 6.3.3 (b) (1) [14] P.T.O./b.o. ### Page 15 Downloaded from hlayiso.com MATHEMATICS/WISKUNDE (PAPER/VRAESTEL 2) 15 (ANSWER BOOK/ANTWOORDBOEK) 10612/23 QUESTION/VRAAG 7 M P T 𝑘 𝜃 Q Marks Solution/Oplossing Punte 7.1 (3) 7.2 (4) P.T.O./b.o. ### Page 16 Downloaded from hlayiso.com MATHEMATICS/WISKUNDE (PAPER/VRAESTEL 2) 16 (ANSWER BOOK/ANTWOORDBOEK) 10612/23 Marks Solution/Oplossing Punte 7.3 (3) [10] P.T.O./b.o. ### Page 17 Downloaded from hlayiso.com MATHEMATICS/WISKUNDE (PAPER/VRAESTEL 2) 17 (ANSWER BOOK/ANTWOORDBOEK) 10612/23 QUESTION/VRAAG 8 8.1 Y Z R 1 4 3 2 10º X 20º 1 T1 1 2 2 2 S O 3 2 1 Q P Marks Solution/Oplossing Punte 8.1.1 (2) 8.1.2 (1) 8.1.3 (2) P.T.O./b.o. ### Page 18 Downloaded from hlayiso.com MATHEMATICS/WISKUNDE (PAPER/VRAESTEL 2) 18 (ANSWER BOOK/ANTWOORDBOEK) 10612/23 Marks Solution/Oplossing Punte 8.1.4 (4) 8.2 (3) [12] P.T.O./b.o. ### Page 19 Downloaded from hlayiso.com MATHEMATICS/WISKUNDE (PAPER/VRAESTEL 2) 19 (ANSWER BOOK/ANTWOORDBOEK) 10612/23 QUESTION/VRAAG 9 C D B 12 T S 20 36 R A Marks Solution/Oplossing Punte 9.1 (3) 9.2 P.T.O./b.o. ### Page 20 Downloaded from hlayiso.com MATHEMATICS/WISKUNDE (PAPER/VRAESTEL 2) 20 (ANSWER BOOK/ANTWOORDBOEK) 10612/23 Marks Solution/Oplossing Punte 9.2 cont. /verv. (6) [9] P.T.O./b.o. ### Page 21 Downloaded from hlayiso.com MATHEMATICS/WISKUNDE (PAPER/VRAESTEL 2) 21 (ANSWER BOOK/ANTWOORDBOEK) 10612/23 QUESTION/VRAAG 10 10.1 D A ● ●  x E F  x B C Marks Solution/Oplossing Punte 10.1 (6) P.T.O./b.o. ### Page 22 Downloaded from hlayiso.com MATHEMATICS/WISKUNDE (PAPER/VRAESTEL 2) 22 (ANSWER BOOK/ANTWOORDBOEK) 10612/23 10.2 A 1 2 F C M 1 D 2 1 2 4 3 2 1 E B Marks Solution/Oplossing Punte 10.2.1 (4) 10.2.2 (3) P.T.O./b.o. ### Page 23 Downloaded from hlayiso.com MATHEMATICS/WISKUNDE (PAPER/VRAESTEL 2) 23 (ANSWER BOOK/ANTWOORDBOEK) 10612/23 Marks Solution/Oplossing Punte 10.2.3 (6) [19] P.T.O./b.o. ### Page 24 Downloaded from hlayiso.com MATHEMATICS/WISKUNDE (PAPER/VRAESTEL 2) 24 (ANSWER BOOK/ANTWOORDBOEK) 10612/23 Marks Additional space/Bykomende ruimte Punte P.T.O./b.o. ### Page 25 Downloaded from hlayiso.com MATHEMATICS/WISKUNDE (PAPER/VRAESTEL 2) 25 (ANSWER BOOK/ANTWOORDBOEK) 10612/23 Marks Additional space/Bykomende ruimte Punte P.T.O./b.o. ### Page 26 Downloaded from hlayiso.com MATHEMATICS/WISKUNDE (PAPER/VRAESTEL 2) 26 (ANSWER BOOK/ANTWOORDBOEK) 10612/23 Marks Additional space/Bykomende ruimte Punte P.T.O./b.o. ### Page 27 Downloaded from hlayiso.com MATHEMATICS/WISKUNDE (PAPER/VRAESTEL 2) 27 (ANSWER BOOK/ANTWOORDBOEK) 10612/23 Marks Additional space/Bykomende ruimte Punte TOTAL/TOTAAL: 150 END/EINDE ### Page 28 PREPARATORY EXAMINATION Answer Book VOORBEREIDENDE EKSAMEN-Antwoordboek 2023 CANDIDATE'S NAME KANDIDAAT SE NAAM DATE BOOK NUMBER OF BOOKS DATUM BOEKNOMMER VAN BOEKE TEACHER PAPER NUMBER ONDERWYSER VRAESTELNOMMER 2 SUBJECT NAME VAKNAAM MATHEMATICS/WISKUNDE (10612) 27 pages/bladsye Downloaded from hlayiso.com ## Related documents - [Mathematics P1 (English) QP](https://www.hlayiso.com/library/mathematics-p1-english-qp/11462bfe-d0db-4e5e-8cc4-7aa8f32251ac) — Mathematics · QP · 2023 · Eng - [MATHS P1 GR12 QP JUNE 2023 English](https://www.hlayiso.com/library/maths-p1-gr12-qp-june-2023-english/245dbccd-9e3b-4add-924a-72f6c39ee078) — Mathematics · QP · 2023 · Eng - [Maths Grade 12 NSC P2 MEMO September 2025 Eng Northern Cape](https://www.hlayiso.com/library/maths-grade-12-nsc-p2-memo-september-2025-eng-northern-cape/f00a552e-132c-4871-bf72-c887cfc67272) — Mathematics · Memo · 2025 · Eng - [Maths Grade 12 NSC P2 QP September 2025 Eng Northern Cape](https://www.hlayiso.com/library/maths-grade-12-nsc-p2-qp-september-2025-eng-northern-cape/4ede8207-ca82-4419-bae1-fae734498cc7) — Mathematics · QP · 2025 · Eng - [MATHS P2 MEMO GR12 JUNE 2024 Afr+English](https://www.hlayiso.com/library/maths-p2-memo-gr12-june-2024-afr-english/4a5f997e-e38d-4abb-b726-8b72e6672832) — Mathematics · Memo · 2024 · Eng - [MATHS P2 GR12 QP JUNE 2024 English](https://www.hlayiso.com/library/maths-p2-gr12-qp-june-2024-english/f19338aa-ae27-4fb7-9f1b-e60b2b91eb8c) — Mathematics · QP · 2024 · Eng ## More from Grade 12 Mathematics - [MATHS P2 MEMO GR12 SEPT 2024 Afr+English](https://www.hlayiso.com/library/maths-p2-memo-gr12-sept-2024-afr-english/37629bb0-a0ca-41e1-8c4d-1efde6df8237) — Memo · 2024 · Eng - [FS Gr 12 Sept 2024 Afr en Eng P1](https://www.hlayiso.com/library/fs-gr-12-sept-2024-afr-en-eng-p1/4d7be3dc-5f53-4da3-a833-8fa9c4d73be1) — QP · 2024 · Eng - [G12 Maths P2 Sept Free State 2024](https://www.hlayiso.com/library/g12-maths-p2-sept-free-state-2024/b81ee450-da0b-40b1-84a9-e4089f8e3d30) — QP · 2024 - [KZN Maths Grade 12 March 2024 QP and Memo](https://www.hlayiso.com/library/kzn-maths-grade-12-march-2024-qp-and-memo/49c516f7-1294-466c-8f55-9d573aae2c13) — QP + Memo · 2024 - [Mathematics Maths NSC Prac P1 QP May June 2024 KZN](https://www.hlayiso.com/library/mathematics-maths-nsc-prac-p1-qp-may-june-2024-kzn/f4a136af-f532-49fe-878e-dea9f5333405) — QP · 2024 - [KZN GR 12 MATHS P2 SEPT 2024](https://www.hlayiso.com/library/kzn-gr-12-maths-p2-sept-2024/6db62b2f-3c0b-4c51-8d6b-e875f4b5d67a) — QP · 2024 ## Collection - [Grade 12 past papers](https://www.hlayiso.com/grade-12/past-papers) --- Hlayiso: free CAPS and IEB past papers, memos, notes and study guides for South African learners. 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