# Mathematics Grade 10 P1 Gauteng November 2020 Memo (Afr) > Grade 10 Mathematics Paper 1 memorandum from the Gauteng November 2020 (Afrikaans), 7 pages. Read online or download the free PDF. - Page: https://www.hlayiso.com/library/gr10-math-p1-english-and-afrikaans-2020-exemplars-possible-answers/9b8be97f-8fb8-4341-9c9e-61e6fc9e29bf - Updated: 2026-09-27 - Subject: Mathematics - Grade: Grade 10 - Language: Afrikaans - Document type: Memorandum - Year: 2020 - Exam period: Gauteng November - Paper: 1 - Curriculum: CAPS - Pages: 7 Breadcrumbs: [Home](https://www.hlayiso.com/) › [Library](https://www.hlayiso.com/library) › [Grade 10](https://www.hlayiso.com/library/grade-10) › [Mathematics](https://www.hlayiso.com/library/grade-10/mathematics) › [Mathematics Grade 10 P1 Gauteng November 2020 Memo (Afr)](https://www.hlayiso.com/library/gr10-math-p1-english-and-afrikaans-2020-exemplars-possible-answers/9b8be97f-8fb8-4341-9c9e-61e6fc9e29bf) ## About this document Mathematics · Grade 10 · Gauteng November · 2020 · Afrikaans. Memorandum, 7 pages. Read online or download the PDF. Read it free online on the page above; download the PDF from there. ## Matching paper and memo - [Gr10 Math P1 (Afrikaans) 2020 Exemplars Question Paper](https://www.hlayiso.com/library/gr10-math-p1-afrikaans-2020-exemplars-question-paper/17292946-17d9-4c93-81f3-dc74772f4815) — QP · 2020 · Afr ## Document text Text extracted from the PDF. Layout, diagrams and tables may not survive extraction. ### Page 1 Downloaded from hlayiso.com GAUTENG DEPARTMENT OF EDUCATION GAUTENGSE DEPARTEMENT VAN ONDERWYS PROVINCIAL EXAMINATION PROVINSIALE EKSAMEN NOVEMBER 2020 GRADE/GRAAD 10 MATHEMATICS PAPER 1 WISKUNDE VRAESTEL 1 MARKING GUIDELINES/NASIENRIGLYNE MARKS/PUNTE: 50 7 pages/bladsye 1 ### Page 2 Downloaded from hlayiso.com MATHEMATICS/WISKUNDE MEMORANDUM (PAPER/VRAESTEL 1) GRADE/GRAAD 10 NOTE:  If a candidate answers a question TWICE, only mark the FIRST attempt.  If a candidate has crossed out an attempt of a question and has not redone the question, mark the crossed out version.  Consistent accuracy applies in ALL aspects of the marking memorandum. Stop marking at the second calculation error.  Assuming answers/values in order to solve a problem is NOT acceptable. OPMERKING:  As ʼn kandidaat ʼn vraag twee maal beantwoord, merk slegs die EERSTE poging.  As ʼn kandidaat ʼn poging van ʼn vraag doodgetrek het, en die vraag nie oorgedoen het nie, merk die deurgehaalde weergawe.  Konsekwente akkuraatheid is van toepassing op ALLE aspekte van die nasienmemorandum. Hou op nasien by die tweede berekeningsfout.  Veronderstelling van antwoorde/waardes om ʼn probleem op te los, is NIE aanvaarbaar NIE. 2 ### Page 3 Downloaded from hlayiso.com MATHEMATICS/WISKUNDE MEMORANDUM (PAPER/VRAESTEL 1) GRADE/GRAAD 10 QUESTION/VRAAG 1 1.1 𝑥 = −5  answer/antwoord (1) 1.2 𝑥 = 15  answer/antwoord (1) 1.3 𝑥 = 11  answer/antwoord (1) [3] QUESTION/VRAAG 2 2.1 𝑥2 + 𝑥 − 6 𝑥 2 − 16 1 2 × 3 2 × 3𝑥 − 12𝑥 𝑥 − 2𝑥 𝑥+4  (𝑥 + 3)(𝑥 − 2) (𝑥 + 3)(𝑥 − 2) (𝑥 + 4)(𝑥 − 4) 1 (𝑥 + 4)(𝑥 − 4) = × ×  3𝑥(𝑥 − 4) 3𝑥(𝑥 − 4) 𝑥 2 (𝑥 − 2) 𝑥+4  𝑥 2 (𝑥 − 2) 𝑥+3 =  answer/antwoord 3𝑥 3 (5) 2.2 62−𝑎 . 12𝑎 2𝑎+1 (2.3)2−𝑎 . (3. 22 )𝑎 = 2𝑎+1 22−𝑎 . 32−𝑎 . 3𝑎 . 22𝑎 = 2𝑎+1 = 22−𝑎+2𝑎−𝑎−1 . 32−𝑎+𝑎 22−𝑎+2𝑎−𝑎−1 32−𝑎+𝑎 = 21 . 32 21 . 32 = 18  answer/antwoord (4) 3 ### Page 4 Downloaded from hlayiso.com MATHEMATICS/WISKUNDE MEMORANDUM (PAPER/VRAESTEL 1) GRADE/GRAAD 10 2.3 (𝑎 + 𝑏)2 =𝑎2 + 2𝑎𝑏 + 𝑏 2 a2 + 2ab + b2 = 𝑎2 + 𝑏 2 + 2𝑎𝑏  rearrangement /herrangskikking = 8𝑎𝑏 + 2𝑎𝑏 = 10𝑎𝑏 answer/antwoord (3) [12] QUESTION/VRAAG 3 3.1 1 64 p 3  27  1  4p    1  4 1  3 =  4 p   16 p 2  p    3  3 9  4 1  16 p 2  p    3 9 (2) 3.2 24ky – 6ky – 24y + 96y . 3 3 = 6ky (4y2 – 1) – 24y (1 – 4y2)  6ky (4y2 – 1) – 24y (1 – 4y2) = 6ky (4y2 – 1) + 24y (4y2 – 1)  + 24y (4y2 – 1) = (6ky + 24y) (4y2 – 1)  (6ky + 24y) (4y2 – 1) = 6y (k + 4) (2y + 1) (2y – 1)  6y (k + 4) (2y + 1) (2y – 1) (4) [6] 4 ### Page 5 Downloaded from hlayiso.com MATHEMATICS/WISKUNDE MEMORANDUM (PAPER/VRAESTEL 1) GRADE/GRAAD 10 QUESTION/VRAAG 4 4.1 1 3𝑥+3 ( ) = 729 3 3−(3𝑥+3) = 36 3−(3𝑥+3) = 36 −3𝑥 − 3 = 6 −3𝑥 − 3 = 6 −3𝑥 = 6 + 3 ∴ 𝑥 = −3  𝑥 = −3 (3) 4.2 1−𝑥 −4 ≤ <3 3 −4 × 3 ≤ 1 − 𝑥 < 3 × 3 −12 ≤ 1 − 𝑥 < 9  −12 ≤ 1 − 𝑥 < 9 −12 − 1 ≤ −𝑥 < 9 − 1 −13 ≤ 𝑥 < 8  −13 ≤ 𝑥 < 8 ∴ −8 < 𝑥 ≤ 13 −8 < 𝑥 ≤ 13 𝑥𝜖(−8; 13] Interval notation/ Intervalnotasie (4) 4.3 number of children/aantal kinders: 𝑥 Adults/volwassenes : 150 − 𝑥 ∴ 6𝑥 + 10(150 − 𝑥) = 𝑅1100 6𝑥 + 10(150 − 𝑥) 6𝑥 + 1500 − 10𝑥 = 𝑅1100 = 𝑅1100 −4𝑥 = 1100 − 1500  simplifying/ ∴ 𝑥 = 100 vereenvoudiging ∴ 100 children/kinders answer/antwoord (4) [11] 5 ### Page 6 Downloaded from hlayiso.com MATHEMATICS/WISKUNDE MEMORANDUM (PAPER/VRAESTEL 1) GRADE/GRAAD 10 QUESTION/VRAAG 5 5.1 𝑇𝑛 = 𝑑𝑛 + 𝑐 For/Vir 𝑛 = 1 −3 = 4(1) + 𝑐 ∴ 𝑐 = −7  𝑐 = −7 𝑇𝑛 = −3 + 4𝑛 − 4 ∴ 𝑇𝑛 = 4𝑛 − 7 4𝑛 − 7 OR/OF OR/OF 𝑇𝑛 = 4𝑛 − 7 answer only/slegs antwoord 4𝑛 −7 (2) 5.1.2 𝑇38 = 4(38) − 7 𝑇38 = 145  𝑇38 = 145 (1) [3] 6 ### Page 7 Downloaded from hlayiso.com MATHEMATICS/WISKUNDE MEMORANDUM (PAPER/VRAESTEL 1) GRADE/GRAAD 10 QUESTION/VRAAG 6 6.1 𝑦 =𝑥+2 𝑦 = 1+2 𝐹𝐺 = 3 units/𝑒𝑒𝑛ℎ𝑒𝑑𝑒  𝐹𝐺 = 3 units/eenhede 𝑦 = 3𝑥 2 − 12 𝑦 = 3(1)2 − 12 𝐹𝐻 = 9 units/𝑒𝑒𝑛ℎ𝑒𝑑𝑒 𝐹𝐻 = 9 units/𝑒𝑒𝑛ℎ𝑒𝑑𝑒 𝐺𝐻 = 𝐹𝐺 + 𝐹𝐻 𝐺𝐻 = 12 units/𝑒𝑒𝑛ℎ𝑒𝑑𝑒  𝐺𝐻 = 12 units/𝑒𝑒𝑛ℎ𝑒𝑑𝑒 (3) 6.2.1 𝑥 + 2 = 3𝑥 2 − 12 2  𝑥 + 2 = 3𝑥 − 12 3𝑥 2 − 𝑥 − 14 = 0 standard form/ standaardvorm (3𝑥 − 7)(𝑥 + 2) = 0 factors/faktore 7 𝑥 = 3 and/𝑒𝑛 𝑥 = −2  both/beide 𝑦 =𝑥+2 7  substitute/vervang 3 7 𝑦 =3+2 13 = 3 7 13 7 13 𝐸=( ; ) (3 ; 3 ) 3 3 (5) 6.2.2 asymptote/asimptoot 𝑦 = 2 and/en  Asymptote/Asimptoot point/punt ( 1 ; 4) 𝑦=2 𝑦 = 𝑎𝑥 + 𝑞 4 = 𝑎1 + 2 4 = 𝑎1 + 2 4 − 2 = 𝑎1 ∴𝑎=2 𝑎 =2 ∴ 𝑦 = 2𝑥 + 2 (3) 6.2.3 𝑦 = −3𝑥 2 + 12  correct answer/korrekte antwoord (2) 6.3 𝑓(𝑥) = 3𝑥 2 − 12 𝑥 ≤ −2 or/of 𝑥 ≥ 2  𝑥 ≤ −2 𝑥 ≥2 (2) [15] TOTAL/TOTAAL 50 7 ## Related documents - [Gr 10 Mathematics P1 (English and Afrikaans) November 2022 Possible Answers](https://www.hlayiso.com/library/gr-10-mathematics-p1-english-and-afrikaans-november-2022-possible-answers/95c1561e-9f52-43c1-82af-15858ae5bc23) — Mathematics · Memo · 2022 · Afr - [Gr10 Math P2 (Afrikaans) 2020 Exemplars Question Paper](https://www.hlayiso.com/library/gr10-math-p2-afrikaans-2020-exemplars-question-paper/8543eb3f-55cd-49e8-9a46-31a2262278ea) — Mathematics · QP · 2020 · Afr - [MATHS P1 GR10 QP NOV2020 Afrikaans](https://www.hlayiso.com/library/maths-p1-gr10-qp-nov2020-afrikaans/69ffc6f5-2910-4e27-ae44-2b5710a1f059) — Mathematics · QP · 2020 · Afr - [Gr 10 Mathematics P1 (Afrikaans) November 2022 Question Paper](https://www.hlayiso.com/library/gr-10-mathematics-p1-afrikaans-november-2022-question-paper/cb90cd4a-f97b-4561-bdc2-4d79045b30bb) — Mathematics · QP · 2022 · Afr - [Gr 10 Mathematics P2 (English and Afrikaans) November 2022 Possible Answers](https://www.hlayiso.com/library/gr-10-mathematics-p2-english-and-afrikaans-november-2022-possible-answers/8ea0f35e-ad94-4034-afeb-8c2cc761e934) — Mathematics · Memo · 2022 · Afr - [Gr10 Math P1 (Afrikaans and English) June 2019 Possible Answers](https://www.hlayiso.com/library/gr10-math-p1-afrikaans-and-english-june-2019-possible-answers/ce0cbf93-1614-4c22-8b6e-72953c486036) — Mathematics · Memo · 2019 · Afr ## More from Grade 10 Mathematics - [Gr 10 Maths ATP 2023-24](https://www.hlayiso.com/library/gr-10-maths-atp-2023-24/80c1c337-e011-4b8b-a37b-d2e0df9daaf6) — ATP - [KZN Maths Grade 10 June 2025 P1 and Memo](https://www.hlayiso.com/library/kzn-maths-grade-10-june-2025-p1-and-memo/dc5ae33f-46ec-4eae-b577-25a82956eaec) — QP + Memo · 2025 - [KZN Maths Grade 10 March 2025 QP and Memo](https://www.hlayiso.com/library/kzn-maths-grade-10-march-2025-qp-and-memo/bc27cbbf-ec6d-4c60-bf7e-25a154d363e4) — QP + Memo · 2025 - [KZN Maths Grade 10 November 2025 P1 and Memo](https://www.hlayiso.com/library/kzn-maths-grade-10-november-2025-p1-and-memo/ece9abee-2009-4e22-8de3-34ccb229e5cb) — QP + Memo · 2025 - [KZN Maths Grade 10 November 2025 P2 and Memo](https://www.hlayiso.com/library/kzn-maths-grade-10-november-2025-p2-and-memo/417e9b18-c39d-4fb2-9e32-c089e8fbfd22) — QP + Memo · 2025 - [Gr 10 Mathematics P1 (Afrikaans) June 2024 Question Paper](https://www.hlayiso.com/library/gr-10-mathematics-p1-afrikaans-june-2024-question-paper/f7a97f78-e0a1-47a0-9585-d048fbb9a0b0) — QP · 2024 · Afr ## Collection - [Grade 10 past papers](https://www.hlayiso.com/grade-10/past-papers) --- Hlayiso: free CAPS and IEB past papers, memos, notes and study guides for South African learners. 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