# Mathematics Grade 9 Gauteng November 2016 Memo > Grade 9 Mathematics memorandum from the Gauteng November Exam 2016, 9 pages. Read online or get the free PDF download, question paper linked when available. - Page: https://www.hlayiso.com/library/2016-grade-9-maths-final-exam-gp-memo/609b0a1c-dc48-41e9-be95-7423dabed8cc - Updated: 2026-09-27 - Subject: Mathematics - Grade: Grade 9 - Document type: Memorandum - Year: 2016 - Exam period: Gauteng November Exam - Curriculum: CAPS - Pages: 9 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 2016 Memo](https://www.hlayiso.com/library/2016-grade-9-maths-final-exam-gp-memo/609b0a1c-dc48-41e9-be95-7423dabed8cc) ## About this document Mathematics · Grade 9 · Gauteng November Exam · 2016. Memorandum, 9 pages. Read online or download the PDF. 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Layout, diagrams and tables may not survive extraction. ### Page 1 Downloaded from hlayiso.com testpapers.co.za GAUTENG DEPARTMENT OF EDUCATION PROVINCIAL EXAMINATION NOVEMBER 2016 GRADE 9 MATHEMATICS MEMORANDUM 9 pages 1 ### Page 2 Downloaded from hlayiso.com MEMORANDUM MATHEMATICS GRADE 9 GAUTENG DEPARTMENT OF EDUCATION PROVINCIAL EXAMINATION MATHEMATICS SECTION A QUESTION 1 1.1 C  1.2 A  1.3 B  1.4 A  1.5 C  1.6 D  1.7 A  1.8 B  1.9 B  1.10 B  [10] SECTION B QUESTION 2 2.1 2.1.1 P  A(1  i)n  (3)  15000 (1  0,08)1  = R16200  2.1.2 P  A(1  i)n   15000 (1  0,08)5  (3) = R22039 ,92115  R22039 ,92  2 ### Page 3 Downloaded from hlayiso.com MEMORANDUM MATHEMATICS GRADE 9 2.2 3  64  (3) 2  4  9   5 (2) 2.3 3 1 1 :1 : 4 2 3 3 3 1 : :  4 2 3 9 : 18 : 4  (2) 2.4 16,5l xl =  100 km 1284 km 100 x = 21186  x = 211,86  (2) [12] QUESTION 3 3.1 3.1.1 3 Balls  (1) 3.1.2 Figure 1 4 5 Number of balls 5 14 17 (2) 3.1.3 Yes.  Difference is 3 Tn  3n  2  3(n  1)  5  3n  3  5  3n  2  (3) 3.2 (2 x  1) 2  4 x 2  1 LHS  (2 x  1)(2 x  1)  4 x 2  4 x  1 Not correct / 4 x 2  1  4 x 2  4 x  1  (2) [8] 3 ### Page 4 Downloaded from hlayiso.com MEMORANDUM MATHEMATICS GRADE 9 QUESTION 4 4.1  2(2 x 2  3x  5)  (4 x 2  3)  4 x 2  6 x  10  4 x 2  3   8x 2  6 x  7  (3) 4.2 4.2.1 b3 2ab  (4b   12) 12 6 b4 ab4     b3  3 36 (3) 4.2.2 4 x 3  2 x(3 x 2 ) 2x3 4 x3  6 x3   2 x3  2 x3   2 x3  1  (3) 4.3 x( a  y )  ( y  a )  x( a  y )  ( a  y )   (a  y)( x  1)  (2) 4.4 4.4.1 2( x  2)  ( x  3)  5 2 x  4  x  3  5  x  7  5 x  2  (4) 4.4.2 2x 2x 1   2 x 1 1 x x 1 2x 2x 1    x 1 x 1 ( x  1)( x  1) 2 x( x  1)  2 x( x  1)  1 2x2  2x   2 x2  2 x   1  4x  1 1 x  4 (5) 4 ### Page 5 Downloaded from hlayiso.com MEMORANDUM MATHEMATICS GRADE 9 4.4.3 10 x  0,0001 10 x  104  x  4  (2) 4.5 Let the first number be 2 x , then the second is 2x  2 and third 2 x  4  2 x  2 x  2  2 x  4  78  6 x  6  78 6 x  78  6 6 x 72  6 6 x  12   the numbers are 24 , 26 and 28  (5) [27] QUESTION 5 5.1 y  2 x  1  (2) 5.2 y2  y1 y 3 m OR m     x2  x1 x 2 30 m  20 3   2 (2) 5.3 The equation y  1  2( x  2) defines a straight line graph. 5.3.1 y-intercept  3 (1) 5.3.2 y  1  2( x  2) 0  1  2( x  2)  0  1  2x  4 3  2x  3 (3) x  2 5 ### Page 6 Downloaded from hlayiso.com MEMORANDUM MATHEMATICS GRADE 9 5.3.3 y  1  2( x  2)  (1 (1 mark for each intercept) (2) 5.4 5.4.1 p.  Increasing graph OR when x increases, y also increases OR x and y are directly proportional  (2) 5.4.2 y  x   5  (2) [14] QUESTION 6 6.1 a = 550  [corresponding angles of parallel lines]  (4) b = 550  [opposite angles of a parallelogram]  6.2 AB = BE [given]  AB = DC  [opposite sides of a parallelogram ] DC=BE  [both = AB]  (4) 6.3 6.3.1 In ΔDCB and ΔAED D̂1  Â  [alternate angles; DC // AE]  B̂  D̂2  [alternate angles; BC // DE ]   Ĉ  Ê  [interior angles of a triangle]   ΔDCB /// ΔAED [AAA] (6) 6 ### Page 7 Downloaded from hlayiso.com MEMORANDUM MATHEMATICS GRADE 9 6.3.2 AD ED   DB CB AD 7,5 cm   5,2 cm 3 cm AD = 13 cm  AB = 13 cm – 5,2 cm = 7,8 cm  (4) 6.4 SꞋ S  (1 mark for each vertex of the image) (3) [21] QUESTION 7 7.1 7.1.1 Find the length of BC. BC 2  AB 2  AC 2 = (3 m)2 + (4 m)2 ✓ = 9 m2 + 6 m2 ✓ = 25 m2 ✓ BC = 5 m ✓ (4) 7 ### Page 8 Downloaded from hlayiso.com MEMORANDUM MATHEMATICS GRADE 9 7.1.2 5m 5m 4m 7m 3m 3m (1) 1 7.1.3 Surface Area = (5 m × 7 m) + (4 m × 7 m) + 2(  4  3 ) + (3 m × 7 m)  2 = 35 m  28 m  12 m  21 m  2 2 2 2 = 96 m2  (3) 7.2 160 m  x  480 000 m2  160 xm  48 0000 m2 48 0000 m 2 x 160 m x  3 000 m  Length needed = 2(160 m  3 000 m)  = 6 320 m  (4) 7.3 7.3.1 V  300 cm  500 cm  700 cm   105 000 000 cm3  (2) 105 000 000 cm 3 7.3.2 Amount of water =  1 000 = 105 000 l  (2) [16] 8 ### Page 9 Downloaded from hlayiso.com MEMORANDUM MATHEMATICS GRADE 9 QUESTION 8 8.1.1 4 , 8 , 12 , 12 , 16 , 16 , 16 , 24 , 24 , 32 , 32 , 36 , 48 , 48  16  24 Median =  2 = 20  (3) 8.1.2 16  (1) 8.1.3 Range = 48 – 4 = 44  (1) 8.2 8.2.1 Both homework and sports  2 hours each OR 4 hours altogether  (2) 8.2.2 Watching TV  1 hour  (2) 3 1 8.3 8.3.1 P(B) = =  (2) 6 2 5 8.3.2 P(Not W) =  (1) 6 [12] TOTAL: 120 9 ## Related documents - [Gr 9 Mathematics Bil Memo](https://www.hlayiso.com/library/gr-9-mathematics-bil-memo/ad9c6550-33f8-4f3f-bfa2-bce63a87dc31) — Mathematics · Memo · 2016 - [Gr 9 Mathematics P2 (Eng & Afr) 2023 Possible Answers](https://www.hlayiso.com/library/gr-9-mathematics-p2-eng-afr-2023-possible-answers/66a94300-9a7a-473f-80bf-ddb7a3b7cbad) — Mathematics · Memo · 2023 · Eng - [Gr9 Math (English) November 2018 Possible Answers](https://www.hlayiso.com/library/gr9-math-english-november-2018-possible-answers/8e35b8c2-6743-4d39-8693-9d760e83ce17) — Mathematics · Memo · 2018 · Eng - [Gr 9 Mathematics Afr](https://www.hlayiso.com/library/gr-9-mathematics-afr/776291d0-4207-4379-a605-3effb6f60252) — Mathematics · QP · 2016 · Afr - [Gr 9 Mathematics Eng](https://www.hlayiso.com/library/gr-9-mathematics-eng/58b6d8fc-2e27-41c3-8c50-982fca6dd5c2) — Mathematics · QP · 2016 · Eng - [MATHS P1 QP GR9 NOV2016 Afrikaans](https://www.hlayiso.com/library/maths-p1-qp-gr9-nov2016-afrikaans/e3111bde-defd-4d80-b2ef-38bb3f1c4934) — Mathematics · QP · 2016 · Afr ## More from Grade 9 Mathematics - [CAPS SP MATHEMATICS GR 7-9](https://www.hlayiso.com/library/caps-sp-mathematics-gr-7-9/ff259c2b-5f3b-46f9-ae34-66dd08358bbe) — CAPS · Eng - [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 - [2024 G9 Mock June Test Free State](https://www.hlayiso.com/library/grade-9-mathematics-2024-free-state-june-exam-question-paper/3628eaa4-69bb-4e63-a6b9-8c072d118cdb) — QP · 2024 - [2024 G9 Mock June Test Free State.docx](https://www.hlayiso.com/library/grade-9-mathematics-2024-free-state-june-exam-question-paper/7d033d41-fed7-4c04-a7cc-78d6c025aa9b) — QP · 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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