Technical Mathematics Grade 12 P1 NSC November 2025 Addendum

basic education Deparment Basic Education Candidate Barcode Label/Stafieskodeplakker REPUBLIC OF SOUTH AFRICA NSC Answer Book NSS-antwoordeboek National Senior Certificate/Nasionale Senior Sertifikaat (Grade 12/Graad 12) (CENTRE NUMBER Sequence No. on mark sheet SENTRUMNOMMER Volgnommer op puntestaat EXAMINATION NUMBER EKSAMENNOMMER DATE BOOK NUMBER DATUM BOEKNOMMER SUBJECT CODE PAPER NUMBER 1 VAKKODE VRAESTELNOMMER VARNAAM TECHNICAL MATHEMATICS/TEGNIESE WISKUNDE November 2025 Confidential / Vertroulik MODERATOR'S INITIALS IN RELEVANT BLOCK/ MODERATORPARAAF IN BETROKKE BLOKKIE Marks Marks Marks Punte cM Punte au Punte SM s ejelapayala lw) )= te CONTROLLED AND CERTIFIED CORRECT (SURNAME AND INITIALS OF EA) READ INSTRUCTIONS ON THE NEXT PAGE. GEKONTROLEER EN AS KORREK GESERTIFISEER LBES INSTRUKSIES OP DIE VOLGENDE BLADSY. (VAN EN VOORLETTERS VAN EA) This answer book consists of 22 pages./Hierdie antwoordeboek bestaan uit 22 bladsye. Please turn over/Blaai om asseblief

Technical Mathematics/P 1/Tegniese Wiskunde/V 1 2 DBE/November 2025 NSC/NSS — Answer Book/Antwoordeboek Confidential/ Vertroulik PLEASE FOLLOW THESE INSTRUCTIONS CAREFULLY SEBLIEF HIERDIE INSTRUKSIES NOUKEURIG 1. Your examination number and centre number must be clearly written in the space provided and attach your examination number sticker in the space provided. 2. Remember that your own name (or the name of your school) may not appear anywhere on or in this answer book. 3. | Answer ALL questions in the spaces provided. 4. No pages may be torn from this answer book. 5. Read the instructions printed on your timetable carefully as well as any other instructions which may be given in each examination paper. 6. Candidates may not retain an answer book or remove it from the examination room. Answer books must be returned to the Invigilator at the end of the examination session. 7, Answers must be written in black/blue ink as distinctly as possible. Do NOT write in the margins. 8. Indicate the questions you have answered by drawing a circle around the relevant numbers on the front cover of the answer book where marks are to be recorded. 9. Draw a neat line through any work/rough work that must not be marked. 10. In the event that you use the additional space provided at the end of this ANSWER BOOK: 10.1 Write down the question number. 10.2 Leave a line and rule off after your answer. 10. Skryf jou eksamennommer en sentrumnommer duidelik in die ruimtes verskaf en plak jou eksamennommeretiket in die ruimte verskaf. Onthou dat jou eie naam (of die naam van jou skool) nie op of in hierdie antwoordeboek mag voorkom nie. Beantwoord ALLE vrae in die ruimtes wat verskaf is. Geen bladsye mag uit hierdie antwoordeboek geskeur word nie. Lees die instruksies wat op jou eksamenrooster gedruk is sorgvuldig deur, asook enige ander instruksies wat in elke eksamenvraestel gegee word. Geen antwoordeboek mag deur die kandidaat behou of uit die eksamenlokaal verwyder word nie. Antwoordeboeke moet aan die einde van die eksamensessie aan die toesighouer terugbesorg word. Skryf die antwoorde so duidelik moontlik met swart/blou ink. MOENIE in die kantlyn skryf NIE. Dui die vrae wat jy beantwoord het op die voorblad van die antwoordeboek aan, waar die punte aangebring word, deur ‘'n kringetjie om die nommers van die vrae wat jy beantwoord het, te trek. Trek 'n netjiese lyn deur enige werk/rofwerk wat nie nagesien moet word nie. In geval jy die bykomende ruimte wat aan die einde van hierdie ANTWOORDEBOEK verskaf is, gebruik: 10.1 Skryf die vraagnommer neer. 10.2 Laat 'n lyn oop en trek 'n lyn na jou antwoord. Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical Mathematics/P 1/Tegniese Wiskunde/V1 3 DBE/November 2025 NSC/NSS — Answer Book/Antwoordeboek Confidential/ Vertroulik QUESTION/VRAAG 1. Solution/Oplossing Marks Punte Ld (2) 1.1.2 (4 1.1.3 (2) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical Mathematics/P1/Tegniese Wiskunde/V1 4 DBE/November 2025 NSC/NSS — Answer Book/Antwoordeboek Confidential/ Vertroulik Solution/Oplossing Marks Punte 1.2.1 a 1.2.2 (5) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical Mathematics/P 1/Tegniese Wiskunde/V 1 5 DBE/November 2025 NSC/NSS — Answer Book/Antwoordeboek Confidential/ Vertroulik Copyright reserved/Kopiereg voorbehou Solution/Oplossing Marks Punte 1.3.1 @ 1.3.2 (2) 1.4 ce) 1.5 (2) [20] Please turn over/Blaai om asseblief

Technical Mathematics/P l/Tegniese Wiskunde/V1 6 DBE/November 2025 NSC/NSS ~- Answer Book/Antwoordeboek Confidential/ Vertroulik QUESTION/VRAAG 2 Solution/Oplossing Marks Punte 2.1.1 (1) 2.1.2 Q) 2.1.3 Q) 2.2 (4) [8] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical Mathematics/P 1/Tegniese Wiskunde/V1 DBE/November 2025 NSC/NSS — Answer Book/Antwoordeboek Confidential/ Vertroulik QUESTION/VRAAG 3 Solution/Oplossing Marks Punte 3.1.1 (2) 3.1.2 (3) 3.2.1 (1) 3.2.2 (2) 3.3.1 Q) 3.3.2 (3) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical Mathematics/P1/Tegniese Wiskunde/V1 8 DBE/November 2025 NSC/NSS — Answer Book/Antwoordeboek Confidential/ Vertroulik Solution/Oplossing Marks Punte 3.4 (5) 3.5.1 qd) 3.5.2 (2) 3.6 (3) [24] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical Mathematics/P 1/Tegniese Wiskunde/V1 9 DBE/November 2025 NSC/NSS — Answer Book/Antwoordeboek Confidential/ Vertroulik QUESTION/VRAAG 4 Solution/Oplossing Marks Punte 4.1.1 (2) 4.1.2 Q) 4.1.3 (2) 4.1.4 (2) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

DBE/November 2025 10 NSC/NSS — Answer Book/Antwoordeboek Confidential/ Vertroulik Technical Mathematics/P1/Tegniese Wiskunde/V1 Marks Punte (6) (2) Solution/Oplossing 4.1.6 Please turn over/Blaai om asseblief Copyright reserved/Kopiereg voorbehou

Technical Mathematics/P 1/Tegniese Wiskunde/V1 11 DBE/November 2025 NSC/NSS — Answer Book/Antwoordeboek Confidential/ Vertroulik Solution/Oplossing Marks Punte 42 /A (- 4; 0) [) B 4.2.1 Ql) 4.2.2 2 4.2.3 (3) 4.2.4 (1) 4.2.5 (1) 4.2.6 (2) [24] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical Mathematics/P 1/Tegniese Wiskunde/V1 DBE/November 2025 NSC/NSS — Answer Book/Antwoordeboek Confidential/ Vertroulik QUESTION/VRAAG 5 Solution/Oplossing Marks Punte 5.1.1 (1) 5.1.2 (2) 5.2 (3) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical Mathematics/P1/Tegniese Wiskunde/V1 13 DBE/November 2025 NSC/NSS — Answer Book/Antwoordeboek Confidential/ Vertroutlik Solution/Oplossing Marks Punte 5.3.1 (1) 5.3.2 (4) 5.3.3 (4) |__[15] Copyright reserved/Kopiereg voorbehou Please tum over/Blaai om asseblief

Technical Mathematics/P 1/Tegniese Wiskunde/V1 14 DBE/November 2025 NSC/NSS — Answer Book/Antwoordeboek Confidential/ Vertroulik QUESTION/VRAAG 6 Solution/Oplossing Marks Punte 6.1 (5) 6.2.1 (1) 6.2.2 Q) 6.3.1 (2) 6.3.2 (2) 6.3.3 (3) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical Mathematics/P 1/Tegniese Wiskunde/V1 1s DBE/November 2025 NSC/NSS — Answer Book/Antwoordeboek Confidential/ Vertroulik Copyright reserved/Kopiereg voorbehou Solution/Oplossing Marks Punte 6.4.1 qd) 6.4.2 (5) [20] Please turn over/Blaai om asseblief

Technical Mathematics/P1/Tegniese Wiskunde/V 1 16 DBE/November 2025 NSC/NSS — Answer Book/Antwoordeboek Confidential/ Vertroulik QUESTION/VRAAG 7 Solution/Oplossing Marks Punte 7A (1) 7.2 (2) 73 (4) 7A (5) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical Mathematics/P 1/Tegniese Wiskunde/V1 17 DBE/November 2025 NSC/NSS -- Answer Book/Antwoordeboek Confidential/ Vertroulik Solution/Oplossing Marks Punte 75 (4) Copyright reserved/Kopiereg voorbehou [16] Please turn over/Blaai om asseblief

Technical Mathematics/P1/Tegniese Wiskunde/V1 18 DBE/November 2025 NSC/NSS — Answer Book/Antwoordeboek Confidential/ Vertroulik QUESTION/VRAAG 8 Solution/Oplossing Marks Punte 8.1 (1) 8.2 (2) 8.3 (2) 8.4 (3) (8) | Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical Mathematics/P1/Tegniese Wiskunde/V 1 19 DBE/November 2025 NSC/NSS — Answer Book/Antwoordeboek Confidential/ Vertroulik QUESTION/VRAAG 9 Solution/Oplossing Marks Punte 9.1.1 (2) 9.1.2 (5) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical Mathematics/P1/Tegniese Wiskunde/V1 20 DBE/November 2025 NSC/NSS — Answer Book/Antwoordeboek Confidential/ Vertroulik 9.2 (8) Copyright reserved/Kopiereg voorbehou [15] TOTAL/TOTAAL: Please turn over/Blaai om asseblief 150

Technical Mathematics/P1/Tegniese Wiskunde/V1 21 DBE/November 2025 NSC/NSS — Answer Book/Antwoordeboek Confidential/ Vertroulik Additional space/Bykomende ruimte Marks Punte Copyright reserved/Kopiereg voorbehou 7 Please turn over/Blaai om asseblief

Technical Mathematics/P l/Tegniese Wiskunde/V1 22 DBE/November 2025 NSC/NSS — Answer Book/Antwoordeboek Confidential/ Vertroulik Additional space/Bykomende ruimte Marks Punte Copyright reserved/Kopiereg voorbehou

Technical Mathematics/P 1/Tegniese Wiskunde/V1 NSC/NSS — Answer Book/Antwoordeboek Confidential/ Vertroulik DBE/November 2025 RE-MARK/RE-CHECK/ HERNASIEN/HERKONTROLEER Question Vraag Marks/Punte Initials/Paraaf eolel/alalulealolnr TOTAL TOTAAL HASH TOTAL KAFTOTAAL Copyright reserved/Kopiereg voorbehou