# Mathematics Grade 9 Gauteng November 2018 QP (Afr) > Grade 9 Mathematics question paper from the Gauteng November Exam 2018 (Afrikaans), 19 pages. Read online or download the free PDF. - Page: https://www.hlayiso.com/library/gr9-math-afrikaans-november-2018-question-paper/cd375df1-7439-454a-9fbe-1ad1128f40ff - Updated: 2026-09-27 - Subject: Mathematics - Grade: Grade 9 - Language: Afrikaans - Document type: Question paper - Year: 2018 - Exam period: Gauteng November Exam - Curriculum: CAPS - Pages: 19 Breadcrumbs: [Home](https://www.hlayiso.com/) › [Library](https://www.hlayiso.com/library) › [Grade 9](https://www.hlayiso.com/library/grade-9) › [Mathematics](https://www.hlayiso.com/library/grade-9/mathematics) › [Mathematics Grade 9 Gauteng November 2018 QP (Afr)](https://www.hlayiso.com/library/gr9-math-afrikaans-november-2018-question-paper/cd375df1-7439-454a-9fbe-1ad1128f40ff) ## About this document Mathematics · Grade 9 · Gauteng November Exam · 2018 · Afrikaans. Question paper, 19 pages. Read online or download the PDF. Read it free online on the page above; download the PDF from there. ## Document text Text extracted from the PDF. Layout, diagrams and tables may not survive extraction. ### Page 1 Downloaded from hlayiso.com testpapers.co.za GAUTENGSE DEPARTEMENT VAN ONDERWYS PROVINSIALE EKSAMEN NOVEMBER 2018 GRAAD 9 WISKUNDE NAAM VAN LEERDER: _____________________________________________________ GRAAD / KLAS: _____________________ TYD: 2 uur PUNTE: 100 18 bladsye + 1 formuleblad b.o. ### Page 2 Downloaded from hlayiso.com WISKUNDE GRAAD 9 2 GAUTENGSE DEPARTEMENT VAN ONDERWYS PROVINSIALE EKSAMEN WISKUNDE TYD: 2 uur PUNTE: 100 INSTRUKSIES EN INLIGTING Lees die volgende instruksies noukeurig deur, voordat die vrae beantwoord word. 1. Hierdie vraestel bestaan uit 9 vrae en 19 bladsye, wat ʼn FORMULEBLAD insluit. 2. Beantwoord AL die vrae. 3. ʼn Nie-programmeerbare sakrekenaar mag gebruik word, tensy andersins versoek. 4. Toon alle berekeninge, diagramme en grafieke wat jy gebruik het om jou antwoorde te kry duidelik. Slegs antwoorde alleen sal nie noodwendig volpunte verdien nie. 5. Rond antwoorde tot TWEE desimale plekke af waar nodig, tensy andersinds versoek. 6. Diagramme is nie noodwendig volgens skaal geteken nie. Redes MOET ten alle tye gegee word wanneer jy meetkundige berekeninge doen. 7. Antwoord vrae 2 tot 9 in Afdeling B in die spasies wat voorsien is op die vraestel. 8. Skryf netjies en leesbaar. b.o. ### Page 3 Downloaded from hlayiso.com WISKUNDE GRAAD 9 3 AFDELING A VRAAG 1 Omkring die letter van die korrekte antwoord. 1.1 Watter een van die volgende getalle is irrasionale getal? A ̇ B C √ D √ (1) 1.2 √√ … A B C D (1) 1.3 Die verhouding geskryf in sy eenvoudigste vorm is ... A B C D (1) b.o. ### Page 4 Downloaded from hlayiso.com WISKUNDE GRAAD 9 4 1.4 ( x  2) 2 = ... A x2  4 B x 2  4x  4 C x 2  4x  4 D x 2  4x  4 (1) 1.5 , … A 0 B 6 C 1 D ongedefinieerd (1) 1.6 Die algemene term vir die getalpatroon is … A Tn  4n  1 B Tn  4n  1 C Tn  4n  1 D Tn  4n  1 (1) b.o. ### Page 5 Downloaded from hlayiso.com WISKUNDE GRAAD 9 5 1.7 Gebruik die gegewe reël om die vloeidiagram te voltooi. Invoer Reël Uitvoer 𝑦 𝑡+ … A B C D (1) 1.8 Voltooi: Wanneer twee reguit lyne ewewydig is, dan is die ... A produk van die gradiënte . B gradiënte gelyk. C produk van die gradiënte . D som van die gradiënte . (1) 1.9 12 m³ = … A 12 000 000 kℓ B 12 000 kℓ C 12 kℓ D 0,012 kℓ (1) b.o. ### Page 6 Downloaded from hlayiso.com WISKUNDE GRAAD 9 6 1.10 Die lengte van ʼn reghoek en die breedte . Voltooi: As beide die lengte en die breedte van die reghoek verdubbel word, sal die oppervlakte van die reghoek gelyk wees aan ... A B ( + ) C D ( + ) (1) [10] b.o. ### Page 7 Downloaded from hlayiso.com WISKUNDE GRAAD 9 7 AFDELING B VRAAG 2 2.1 Skryf as ʼn desimale getal. ____________________________________________________________ ____________________________________________________________ (1) 2.2 Verminder met . ____________________________________________________________ ____________________________________________________________ (2) 2.3 Vereenvoudig: 2.3.1 ( ) ( ) ____________________________________________________________ ____________________________________________________________ (4) 2.3.2 √ ( ) ____________________________________________________________ ____________________________________________________________ ____________________________________________________________ (2) 2.3.3 + + ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ (3) [12] b.o. ### Page 8 Downloaded from hlayiso.com WISKUNDE GRAAD 9 8 VRAAG 3 Faktoriseer volledig: 3.1 ____________________________________________________________ ____________________________________________________________ (2) 3.2 ____________________________________________________________ (2) 3.3 ____________________________________________________________ ____________________________________________________________ ____________________________________________________________ (2) [6] VRAAG 4 Los op vir . 4.1 + ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ (4) 4.2 ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ (3) b.o. ### Page 9 Downloaded from hlayiso.com WISKUNDE GRAAD 9 9 4.3 + ___________________________________________________________________ ___________________________________________________________________ (2) [9] VRAAG 5 5.1 Joe ry in ʼn motor teen ʼn spoed van 110 km/h vir 3 uur. Bereken die afstand wat Joe in die motor gery het. ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ (3) 5.2 8 seuns dra elk R115, 50 by om ʼn tent te koop. Bereken hoeveel elkeen sal moet bydra on dieselfde tent te koop, as daar 10 seuns in die groep is. ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ (3) 5.3 Hoe lank sal dit neem vir ʼn belegging van R5 000, wat teen 6% per jaar enkelvoudige rente belê word, om R1 200 rente te verdien? ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ (3) b.o. ### Page 10 Downloaded from hlayiso.com WISKUNDE GRAAD 9 10 5.4 Bereken die eindbedrag as R15 000 belê word teen 5,5 % per jaar saamgestelde rente vir 5 jaar. ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ (3) [12] VRAAG 6 6.1 Bepaal die vergelyking van die gegewe reguitlyngrafiek. Gebruik + . ___________________________________________________________ ___________________________________________________________ ___________________________________________________________ ___________________________________________________________ (4) 6.2 Bepaal die gradient van die reguit lyn, loodreg op die gegewe grafiek. _________________________________________________________________ _________________________________________________________________ _________________________________________________________________ _________________________________________________________________ (3) [7] b.o. ### Page 11 Downloaded from hlayiso.com WISKUNDE GRAAD 9 11 VRAAG 7 7.1 Die stingel-en-blaar-diagram hieronder verteenwoordig die punte van die leerders in ʼn Graad 9-klas vir ʼn Wiskundetoets. Stingel Blare 1 0 0 1 1 8 2 2 3 5 5 6 8 9 3 0 1 2 3 3 3 4 5 7.1.1 Hoeveel leerders het die toets geskryf? _____________________________________________________________ (1) 7.1.2 Bereken die gemiddelde punt wat deur die klas behaal is. _____________________________________________________________ _____________________________________________________________ (2) 7.1.3 Bepaal die modale punt vir die toets. _____________________________________________________________ (1) 7.1.4 Bepaal die mediaan. _____________________________________________________________ _____________________________________________________________ (2) 7.2 Kaarte genommer van 1 tot 6 word in ʼn sak gesit. Atlete trek ʼn kaart wat bepaal in watter baan hul gaan deelneem vir ʼn baanitem. 7.2.1 Wat is die waarskynlikheid dat ʼn spesifieke atleet die kaart vir baan een sal trek? _____________________________________________________________ _____________________________________________________________ (1) 7.2.2 Wat is die waarskynlikheid vir die volgende atleet om enige een van die oorblywende nommers te trek? _____________________________________________________________ _____________________________________________________________ (1) [8] b.o. ### Page 12 Downloaded from hlayiso.com WISKUNDE GRAAD 9 12 VRAAG 8 8.1 In die diagram hieronder is , ̂ , ̂ , Â ° en ̂ °. A B C 𝑥 𝑦 2 ° 70° 40° 2 D E F Bereken die waardes van en . Bewering Rede _______ + _______ = ________ _________________________________ ________ ________ _________________________________ (5) b.o. ### Page 13 Downloaded from hlayiso.com WISKUNDE GRAAD 9 13 8.2 In , word verleng na , en ̂ . Bereken die grootte van ̂. E °2 1 C D F Bewering Rede ̂ +̂ _______ ̂ _______ ̂ ̂ ̂+ ̂+̂ _______ ̂ _______ (6) 8.3 A 1 2 1 2 T B C In die bostaande diagram is ̂ ̂ en ̂ ̂. Voltooi: Bewering Rede 1) (1) b.o. ### Page 14 Downloaded from hlayiso.com WISKUNDE GRAAD 9 14 8.4 Die hoeklyne van ABCD halveer mekaar by . A D 2 1 1 2 2 T 3 4 1 2 1 1 2 B C Bewys dat . Bewering Rede In en ____________________________ (4) b.o. ### Page 15 Downloaded from hlayiso.com WISKUNDE GRAAD 9 15 8.5 In , , en ̂ ̂ A 1 2 1 2 B D C 8.5.1 Bewys dat . Bewering Rede In en (4) 8.5.2 Bereken die lengte van as en BD = 9 cm. Bewering Rede In en eweredige sye van gelykvormige  AB  ... (3) b.o. ### Page 16 Downloaded from hlayiso.com WISKUNDE GRAAD 9 16 8.6 8.6.1 Gebruik ʼn passer, liniaal en ʼn skerp potlood om driehoek in die raam hieronder te konstrueer, sodat (2) 8.6.2 Deur meting: Die grootte van ̂ … ___________________________________________________________________ (1) b.o. ### Page 17 Downloaded from hlayiso.com WISKUNDE GRAAD 9 17 8.7 Die koördinate van A is ( ) A O 8.7.1 Skryf die koördinate van neer as die refleksie is van A in die x-as. ________________________________________________________ (1) 8.7.2 Skryf die koördinate van neer as die refleksie is van A in die y-as. ________________________________________________________ (1) 8.7.3 Skryf die koördinate van neer as A 180° antikloksgewys om die oorsprong roteer word. ________________________________________________________ (1) [29] b.o. ### Page 18 Downloaded from hlayiso.com WISKUNDE GRAAD 9 18 VRAAG 9 Die silinder hierbo het ʼn basis met ʼn deursnit =14 , hoogte en . 9.1 Bereken die oppervlakte van die gekromde vlak van die silinder. ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ (4) 9.2 Bereken die volume van die silinder. ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ (3) [7] TOTAAL [100] EINDE ### Page 19 Downloaded from hlayiso.com WISKUNDE GRAAD 9 19 FORMULEBLAD Enkelvoudige rente: Saamgestelde rente: ( + ) ( + ) ( + ) ( + ) Omtrek Oppervlakte Reghoek ( + ) Sirkel Driehoek ( + + ) ## Related documents - [MATHS QP GR9 NOV 2018 Afrikaans](https://www.hlayiso.com/library/maths-qp-gr9-nov-2018-afrikaans/ea699aa0-0905-4006-a56f-199d25fa05dc) — Mathematics · QP · 2018 · Afr - [Gr 9 Mathematics P1 (Afrikaans) 2023 Question Paper](https://www.hlayiso.com/library/gr-9-mathematics-p1-afrikaans-2023-question-paper/3bb2171c-2597-4455-beda-80e4db341aec) — Mathematics · QP · 2023 · Afr - [Gr 9 Mathematics P2 (Afrikaans) 2023 Question Paper](https://www.hlayiso.com/library/gr-9-mathematics-p2-afrikaans-2023-question-paper/573efe48-5a3e-4262-b948-fe2c092ef322) — Mathematics · QP · 2023 · Afr - [Gr 9 Mathematics P2 (Afrikaans) November 2022 Question Paper](https://www.hlayiso.com/library/gr-9-mathematics-p2-afrikaans-november-2022-question-paper/64742e93-0989-4613-b159-5a184fe589d9) — Mathematics · QP · 2022 · Afr - [Gr9 Math (Afrikaans) November 2019 Question Paper](https://www.hlayiso.com/library/grade-9-mathematics-2019-gauteng-november-exam-question-paper-afrikaans/0ef621dd-6804-4cf9-92b9-d8816c80afc9) — Mathematics · QP · 2019 · Afr - [MATHS GR9 MEMO NOV 2018 Afrikaans](https://www.hlayiso.com/library/maths-gr9-memo-nov-2018-afrikaans/cd89345a-48f5-44e9-9854-0fdbe414cbf0) — Mathematics · Memo · 2018 · Afr ## More from Grade 9 Mathematics - [FS Maths Grade 9 MOCK November 2025 P2 and Memo](https://www.hlayiso.com/library/fs-maths-grade-9-mock-november-2025-p2-and-memo/411ff601-2320-4073-a074-74427663bad7) — QP + Memo · 2025 - [KZN Zululand Maths Grade 9 March 2025 QP and Memo](https://www.hlayiso.com/library/kzn-zululand-maths-grade-9-march-2025-qp-and-memo/a5d0e368-52a3-4816-b3aa-3597ee4f5a9f) — QP + Memo · 2025 - [Maths Grade 9 June 2025 QP and Memo](https://www.hlayiso.com/library/maths-grade-9-june-2025-qp-and-memo/1c92dc3a-8522-46ea-9bc2-251685906fd8) — QP + Memo · 2025 - [Grade 9 formal test 2024 memo](https://www.hlayiso.com/library/grade-9-formal-test-2024-memo/46db1a9d-b9d3-4f68-b6a9-2931fa2f8fc3) — Memo · 2024 - [Grade 9 March Test Memo 2024](https://www.hlayiso.com/library/grade-9-march-test-memo-2024/921339eb-25c9-46e0-9f5c-c210f2245598) — Memo · 2024 - [grade 09 test memo 2025](https://www.hlayiso.com/library/grade-09-test-memo-2025/e9fdeb99-d415-4627-ab29-933f035e3f0a) — Memo · 2024 ## Collection - [Grade 9 past papers](https://www.hlayiso.com/grade-9/past-papers) --- Hlayiso: free CAPS and IEB past papers, memos, notes and study guides for South African learners. 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