Technical Mathematics P2 May June 2022 Answer Book Eng Afr_hlayiso.com_.pdf

Downloaded from hlayiso.com basic education Department: Basic Education REPUBLIC OF SOUTH AFRICA Candidate Barcode Label/Stafieskodeplakker SC/NSC Answer Book SS/NSS-Antwoordeboek SENIOR CERTIFICATE EXAMINATIONS/NATIONAL SENIOR CERTIFICATE EXAMINATIONS SENIOR SERTIFIKAAT-EKSAMEN/NASIONALE SENIORSERTIFIKAAT-EKSAMEN (Grade 12/Graad 12) CENTRE NUMBER SENTRUMNOMMER Sequence No. on markshet . “Dagponmer op putostaat EXAMINATION NUMBER EKSAMENNOMMER | DATE BOOK NUMBER OF BOOKS DATUM BOEKNOMMER VAN BOEKE SUBJECT CODE PAPER NUMBER 2 VAKKODE VRAESTELNOMMER ee TECHNICAL MATHEMATICS/TEGNIESE WISKUNDE This answer book consists of 23 pages./Hierdie antwoordeboek bestaan uit 23 bladsye. MARKER/NASIENER MODERATOR'S INITIALS IN RELEVANT BLOCK/ RE-MARK/RE-CHECK/ MODERATORPARAAF IN BETROKKE BLOKKIE HERNASIEN/HERKONTROLEER Question | Marks | Marker'sCode | Marks Question | Marks Initials Vraag Punte & Initials rPenre | Sho | BCR | CMY BM REM Vraag | Pante Paraaf 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 7] uv 12 12 13 13 14 14 15 15 16 | 16 | TOTAL | TOTAL TOTAAL TOTAAL HASH TOTAL KAFTOTAAL SURNAME ANDINTTIATS OF EA (Ba catipe naacetes oP VOLGENDEDLADSY

Downloaded from hlayiso.com Technical Mathematics/P2/Tegniese Wiskunde/V2 2 DBE/2022 SC/NSC/SS/NSS — Answer Book/Antwoordeboek PLEASE FOLLOW THESE INSTRUCTIONS CAREFULLY VOLG ASSEBLIEF 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 line through any work/rough work that must not be marked. 10 Inthe event that you use the additional space provided: 10.1 Write down the question number question 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 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

Downloaded from hlayiso.com Technical Mathematics/P2/Tegniese Wiskunde/V2 DBE/2022 SC/NSC/SS/NSS — pane Book/Antwoordeboek QUESTION/VRAAG 1 y S(4; m) P(-2 ;2) x \ R(6; 2) Q(0; -4) Solution/Oplossing Marks Punte 11.1 (2) 1.1.2 (3) 1.1.3 (2) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

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Downloaded from hlayiso.com Technical Mathematics/P2/Tegniese Wiskunde/V2 DBE/2022 SC/NSC/SS/NSS — Answer Book/Antwoordeboek QUESTION/VRAAG 2 ay FC1; 5) p+ -— 7 | ™ | ‘ ls ee 0 \ / \ NN / G&;y) | Solution/Oplossing Marks Punte 2.1.1 (2) 2.1.2(a) _ - Q) 2.1.2(b) 3) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

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Downloaded from hlayiso.com Technical Mathematics/P2/Tegniese Wiskunde/V2 DBE/2022 SC/NSC/SS/NSS — Ansver Book/Antwoordeboek QUESTION/VRAAG 4 Solution/Oplossing Marks Punte Al (4) 4.2 Q) [13] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Technical Mathematics/P2/Tegniese Wiskunde/V2 DBE/2022 SC/NSC/SS/NSS — Answer Book/Antwoordeboek QUESTION/VRAAG 5 Solution/Oplossing Marks Punte 5.1 ce) 52. ype 1 t i , \ ' i 1 i : i 1 i) t 1 i ; i i i ' 1 ) i 05 ee rd ! 1 i i U i i ' i 1 ‘ 1 ' i x 9 15° 30° 45° 60° 75° 90° 105° 120° 135° 150° 165° 180° -05 ee ae ee a Ye prarfoumcestes sere and coresme yemenew erent aceer ‘ t 4 : \ ' \ i i i ' ‘ ‘ i i fl ‘ 1 ' ee a | ectianien mica diatiniedn: beliadia eieiene Ruel | celledinetiatis Sie leet inet teeieerinerietieietaeineled i i 1 ‘ 1 i f t i i i f ' i i : i i \ i ' (6) 17] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

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Downloaded from hlayiso.com Technical Mathematics/P2/Tegniese Wiskunde/V2 DBE/2022 SC/NSC/SS/NSS — Answer Book/Antwoordeboek Give reasons for your statements in QUESTIONS 7, 8 and 9. Verskaf redes vir jou bewerings in VRAAG 7, 8 en 9. QUESTION/VRAAG 7 Solution/Oplossing Marks Punte TA Q) 72 A oO rl | M i] P i N 4m B Solution/Oplossing Marks Punte 721 Q) 7.22 (G) [7] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Technical Mathematics/P2/Tegniese Wiskunde/V2 DBE/2022 SC/NSC/SS/NSS — Answer Book/Antwoordeboek QUESTION/VRAAG 8 Solution/Oplossing Marks Punte 8.1 (4) 8.2 (4) 8.3 3) 8.4 (4) [15] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Technical Mathematics/P2/Tegniese Wiskunde/V2 DBE/2022 SC/NSC/SS/NSS — Answer Book/Antwoordeboek QUESTION/VRAAG 9 Solution/Oplossing Marks Punte 9.1 Q) 9.2 P xX, 35 M N Q ¥ R Solution/Oplossing Marks Punte 9.2.1 (4) 9.2.2 (5) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Technical Mathematics/P2/Tegniese Wiskunde/V2 DBE/2022 SC/NSC/SS/NSS — Answer Book/Antwoordeboek 9.3 Solution/Oplossing Marks Punte 9.3.1 (4) 9.3.2 (2) 9.3.3 Q) [19] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Technical Mathematics/P2/Tegniese Wiskunde/V2 DBE/2022 SC/NSC/SS/NSS — Answer Book/Antwoordeboek QUESTION/VRAAG 10 10.1 Radius of the circular path formed by the rotating propeller blades/ Radius van die sirkelpad gevorm deur die roterende skroefblaaie Solution/Oplossing Marks Punte 10.1.1 Q) 10.1.2 = _ 7 (4). Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

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ownl i Technical vatenaiao QW loaded fro m h | ay | Ss 0 . co m SC/NSC/SS/NSS ~ Answer Book/Antwoordeboek DBE/2022 QUESTION/VRAAG 11 1.1 Solution/Oplossing Marks Punte 11.1.1 ee a 4 11.1.2 (2) | Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Technical Mathematics/P2/Tegniese Wiskunde/V2 SC/NSC/SS/NSS — Answer Book/Antwoordeboek DBE/2022 11.2 ; 200cm zx ee — 70cm 150cm| The following formulae may be used/Die volgende formules kan gebruik word: Surface area of acone = ars+ ar’ Total surface area of a cylinder = 2nr? +2arh Buite-oppervlakte van 'n keél = ars + ar Totale buite-oppervlakte van 'n silinder = nr? +2arh Volume of a cone = anh Volume van 'n keél = gar h Volume of a cylinder = 777h Volume van 'n silinder = ar°h Solution/Oplossing Marks Punte 11.2.1 GB 11.2.2 () [14] Copyright reserved/Kopiereg voorbehou TOTAL/TOTAAL: 150 Please turn over/Blaai om asseblief

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