# Mathematics Grade 10 Paper 1 KwaZulu Natal June 2019 Memo > Grade 10 Mathematics Paper 1 memorandum from the KwaZulu Natal June 2019, 8 pages. Read online or download the free PDF. - Page: https://www.hlayiso.com/library/maths-p1-and-memo-june-2019-gr-10/556edfb5-794a-42b2-8090-01ddf36031da - Updated: 2026-09-27 - Subject: Mathematics - Grade: Grade 10 - Document type: Memorandum - Year: 2019 - Exam period: KwaZulu Natal June - Paper: 1 - Curriculum: CAPS - Pages: 8 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 Paper 1 KwaZulu Natal June 2019 Memo](https://www.hlayiso.com/library/maths-p1-and-memo-june-2019-gr-10/556edfb5-794a-42b2-8090-01ddf36031da) ## About this document Mathematics · Grade 10 · KwaZulu Natal June · 2019. Memorandum, 8 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 Downloaded from Stanmorephysics.com ### Page 2 Downloaded from hlayiso.com Downloaded from Stanmorephysics.com ### Page 3 Downloaded from hlayiso.com Downloaded from Stanmorephysics.com ### Page 4 Downloaded from hlayiso.com Downloaded from Stanmorephysics.com ### Page 5 Downloaded from hlayiso.com Downloaded from Stanmorephysics.com NATIONAL SENIOR CERTIFICATE GRADE 10 MATHEMATICS P1 COMMON TEST JUNE 2019 MARKING GUIDELINE MARKS: 50 This marking guideline consists of 4 pages. Copyright reserved Please turn over ### Page 6 Downloaded from hlayiso.com Downloaded from Stanmorephysics.com Mathematics/P1 2 Common Test June 2019 Grade 10 Marking Guideline QUESTION 1 1.1.1 3x3  2 x 2 ( x  5)  3x3  2 x3  10 x 2  2 x3  10 x2  x  10 x 3 2  x3  10 x2 (2) 1.1.2 (2 x  1)(2 x  1)  4 x2  2 x  2 x  1  4x 2  1 (2)  4 x2  1 x  4 x 1  8 x  1.1.3 1 4  1  2 x2  1  2x 2 (2) 1.2 y 2 ( y  2)  x 2 (2  y )  y 2 ( y  2)  x 2 ( y  2)  (y – 2)  ( y  2)( y 2  x 2 )  ( y 2  x2 )  ( y  2)( y  x)( y  x)  ( y  x)( y  x) (3) 1.3.1 x = 12 a (1) 1.3.2 x = 11 a (1) 1.3.3 1 a (1) x = 12 4 [12] QUESTION 2 2.1.1 2 x2  5x  3  0 (2 x  3)( x  1)  0  factors 3  x or x 1 2 (3) 2.1.2 x 1 x  2  20 3 5 5( x  1)  3( x  2)  2(15) 0  LCD = 15 15 5 x  5  3 x  6  30  0  2 x 19 19 x  (3) 2 2.2 2x  3y  3 (1) 2x  y  7 (2) (1)  (2)  4 y  4  y 1  y-value sub y  1 into (2): 2 x  1  7  substitution x3  x-value Copyright Reserved Please turn over ### Page 7 Downloaded from hlayiso.com Downloaded from Stanmorephysics.com Mathematics/P1 3 Common Test June 2019 Grade 10 Marking Guideline OR 2x  3y  3 (1) 2x  y  7 (2)  (2)  3 : 6 x  3 y  21 (1) : 2x  3y  3 (2)  (1) : 8 x  24  x-value x 3  substitution sub x  3 into (2): 2(3)  y  7  y-value y 1 OR 2x  3y  3 (1) 2x  y  7 (2) (2)  (3) : y   2x  7  sub (3) into (1) : 2 x  3( 2 x  7)  3 2 x  6 x  21  3 8 x  24 x 3  x-value sub x  3 into (3): y  2(3)  7  substitution  y-value y 1 (4) 2.3 5( F  32)  C (2) 9 [12] QUESTION 3 3.1 p  14 a q  27 a (2) 3.2 k 2 a (1) 3.3 Rn  7n  1  7n –1 (2) 3.4 B6  3(6)  2  20 200 enough bolts to make  10 6m fences  20 R6  7(6)  1  41 400 enough rods to make  9.8 6m fences  41 There is enough to make 9 complete 6m fences.  (3) [8] Copyright Reserved Please turn over ### Page 8 Downloaded from hlayiso.com Downloaded from Stanmorephysics.com Mathematics/P1 4 Common Test June 2019 Grade 10 Marking Guideline QUESTION 4 4.1 y-intercept: (0 ; – 16)  (1) 4.2 g ( x)  3x  3 0  3x  3  0  3x  3 3 3 x x 1 x-intercept: (1 ; 0) Answer only: 2/2  (2) 4.3 f(x):  x-intercepts  y-intercept  shape g(x):  intercepts  asymptote (5) 4.4 x  (2; ) OR x2  (1) 4.5 x-axis reflection  (1) [10] QUESTION 5 5.1 y  2  (1) 1 a 5.2 Sub point (4 ;  2 ) into f ( x)  2: 2 x 1 a 2  2 2 4  substitution 1 a   2 4 1 a  4 2 a2  (2) 5.3 y  x  c sub (0;  2) :  2  (0)  c  c=–2 c2  y  x  2  (2) 5.4 x  R; x  0 or x  (; ); x  0  (2) 5.5 f decreases for NO values of x.  (1) [8] Copyright Reserved Please turn over ## Related documents - [MATHS P1 GR10 MEMO NOV2019 Afr+Engli](https://www.hlayiso.com/library/maths-p1-gr10-memo-nov2019-afr-engli/ffe4372d-4568-4a3b-a931-1db40e17fbd3) — Mathematics · Memo · 2019 · 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 - [Gr10 Math P1 (ENG AFR) November 2019 Possible Answers](https://www.hlayiso.com/library/gr10-math-p1-eng-afr-november-2019-possible-answers/573cc001-10bc-4b72-b4d9-1054c8866836) — Mathematics · Memo · 2019 · Eng - [MATHS P1 GR10 QP NOV2019 Afrikaans](https://www.hlayiso.com/library/maths-p1-gr10-qp-nov2019-afrikaans/e820bb12-6cf8-44df-8806-2af34a69ac0e) — Mathematics · QP · 2019 · Afr - [MATHS P1 GR10 QP NOV2019 English](https://www.hlayiso.com/library/maths-p1-gr10-qp-nov2019-english/36d84e45-25a0-456c-992b-77ebd9f12143) — Mathematics · QP · 2019 · Eng - [Gr10 Math P1 (English) November 2019 Question Paper](https://www.hlayiso.com/library/gr10-math-p1-english-november-2019-question-paper/f422636d-9077-4ec7-833c-cc9f24dd6f37) — Mathematics · QP · 2019 · Eng ## 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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