Technical Mathematics Grade 12 P2 Eastern Cape June 2025 Addendum

LEARNER’S NAME/ NAAM VAN LEERDER: CLASS / KLAS: NATIONAL SENIOR CERTIFICATE/ NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD 12 JUNE/JUNIE 2025 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 11 TOTAL/TOTAAL *JTMATHE4* This special answer book consists of 26 pages./ Hierdie spesiale antwoordeboek bestaan uit 26 bladsye. This document was downloaded from www.ecexams.co.za.

2 TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2 (EC/JUNE/JUNIE 2025) 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 met swart/blou ink. Moenie in die kantlyn write 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 die voorblad van die antwoordeboek waar the relevant numbers on the front cover die punte aangebring is, deur ʼn kringetjie of the answer book where marks are to te trek om die nommers van die vrae wat jy be recorded. beantwoord het. 5. Draw a through any work/rough work 5. Trek ʼn netjiese lyn deur enige werk/rofwerk 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 This document was downloaded from www.ecexams.co.za.

(EC/JUNE/JUNIE 2025) TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2 3 QUESTION/VRAAG 1 Solution/Oplossing Marks/ Punte y P(2 ; 6) Q(−1 ; 2) R(6 ; ) x T 1.1 (1) 1.2 (4) 1.3 (4) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief This document was downloaded from www.ecexams.co.za.

4 TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2 (EC/JUNE/JUNIE 2025) Solution/Oplossing Marks/ Punte 1.4 (3) 1.5 (4) [16] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief This document was downloaded from www.ecexams.co.za.

(EC/JUNE/JUNIE 2025) TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2 5 QUESTION/VRAAG 2 Solution/Oplossing Marks/ Punte 0 2.1.1 (1) 2.1.2 (4) 2.1.3 (2) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief This document was downloaded from www.ecexams.co.za.

6 TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2 (EC/JUNE/JUNIE 2025) Solution/Oplossing Marks/ Punte 2.2 (3) [10] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief This document was downloaded from www.ecexams.co.za.

(EC/JUNE/JUNIE 2025) TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2 7 QUESTION/VRAAG 3 Solution/Oplossing Marks/ Punte 3.1 3.1.1 (3) 3.1.2 (1) 3.1.3 (2) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief This document was downloaded from www.ecexams.co.za.

8 TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2 (EC/JUNE/JUNIE 2025) Solution/Oplossing Marks/ Punte 3.2 (4) [10] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief This document was downloaded from www.ecexams.co.za.

(EC/JUNE/JUNIE 2025) TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2 9 QUESTION/VRAAG 4 Solution/Oplossing Marks/ Punte 4.1 tan(180° − ). cot(360° − ) − sin (180° + ) sec(180° − ) ∙ sec + tan (7) 4.2 sin cos ( ). tan + = −1 − cosec tan (180° − ) (6) [13] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief This document was downloaded from www.ecexams.co.za.

10 TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2 (EC/JUNE/JUNIE 2025) QUESTION/VRAAG 5 Solution/Oplossing Marks/ Punte 5.1 (8) 5.2 (2) 5.3 (2) 5.4.1 (2) 5.4.2 (2) [16] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief This document was downloaded from www.ecexams.co.za.

(EC/JUNE/JUNIE 2025) TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2 11 QUESTION/VRAAG 6 Solution/Oplossing Marks/ Punte A 38° D 5 7 87° C 8 B 6.1 (1) 6.2 (3) 6.3 (3) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief This document was downloaded from www.ecexams.co.za.

12 TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2 (EC/JUNE/JUNIE 2025) Solution/Oplossing Marks/ Punte 6.4 (3) 6.5 (4) [14] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief This document was downloaded from www.ecexams.co.za.

(EC/JUNE/JUNIE 2025) TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2 13 QUESTION/VRAAG 7 Solution/Oplossing Marks/ Punte O A M B D 7.1 (1) 7.2 (1) 7.3 (1) 7.4 (5) 7.5 (4) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief This document was downloaded from www.ecexams.co.za.

14 TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2 (EC/JUNE/JUNIE 2025) Solution/Oplossing Marks/ Punte 7.6 (2) [14] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief This document was downloaded from www.ecexams.co.za.

(EC/JUNE/JUNIE 2025) TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2 15 QUESTION/VRAAG 8 Solution/Oplossing Marks/ Punte C B 1 2 1 2 O 30q 2 1 A 1 50q2 D 8.1 (2) 8.2 (2) 8.3 (2) 8.4 (2) 8.5 (2) 8.6 (2) [12] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief This document was downloaded from www.ecexams.co.za.

16 TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2 (EC/JUNE/JUNIE 2025) QUESTION/VRAAG 9 Solution/Oplossing Marks/ Punte 9.1 P V Q R S T 9.1.1 (4) 9.1.2 (4) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief This document was downloaded from www.ecexams.co.za.

(EC/JUNE/JUNIE 2025) TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2 17 Solution/Oplossing Marks/ Punte 9.2 P S O C Q B R (4) [12] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief This document was downloaded from www.ecexams.co.za.

18 TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2 (EC/JUNE/JUNIE 2025) QUESTION/VRAAG 10 Solution/Oplossing Marks/ Punte 10.1 (2) 10.2 (4) 10.3 (3) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief This document was downloaded from www.ecexams.co.za.

(EC/JUNE/JUNIE 2025) TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2 19 Solution/Oplossing Marks/ Punte 10.4 (3) 10.5 (3) [15] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief This document was downloaded from www.ecexams.co.za.

20 TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2 (EC/JUNE/JUNIE 2025) QUESTION/VRAAG 11 Solution/Oplossing Marks/ Punte 11.1 42° 11.1.1 (4) 11.1.2 (3) 11.1.3 (2) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief This document was downloaded from www.ecexams.co.za.

(EC/JUNE/JUNIE 2025) TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2 21 Solution/Oplossing Marks/ Punte 11.2 A B (5) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief This document was downloaded from www.ecexams.co.za.

22 TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2 (EC/JUNE/JUNIE 2025) Solution/Oplossing Marks/ Punte 11.3 8 cm 7 cm 4 cm 5 cm 9 cm 6 cm 3 cm 2 cm 9 cm 15 cm (4) [18] TOTAL/TOTAAL: 150 Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief This document was downloaded from www.ecexams.co.za.

(EC/JUNE/JUNIE 2025) TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2 23 Additional Space/Addisionele Ruimte Marks/ Punte Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief This document was downloaded from www.ecexams.co.za.

24 TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2 (EC/JUNE/JUNIE 2025) Additional Space/Addisionele Ruimte Marks/ Punte Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief This document was downloaded from www.ecexams.co.za.

(EC/JUNE/JUNIE 2025) TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2 25 Additional Space/Addisionele Ruimte Marks/ Punte Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief This document was downloaded from www.ecexams.co.za.

26 TECHNICAL MATHEMATICS P2/TEGNIESE WISKUNDE V2 (EC/JUNE/JUNIE 2025) Additional Space/Addisionele Ruimte Marks/ Punte Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief This document was downloaded from www.ecexams.co.za.

This document was downloaded from www.ecexams.co.za.

This document was downloaded from www.ecexams.co.za.

This document was downloaded from www.ecexams.co.za.

This document was downloaded from www.ecexams.co.za.

This document was downloaded from www.ecexams.co.za.

This document was downloaded from www.ecexams.co.za.