# Mathematics Grade 10 P1 Gauteng June 2023 QP (Eng) > Grade 10 Mathematics Paper 1 question paper from the Gauteng June Exam 2023 (English), 5 pages. Read online or download the free PDF. - Page: https://www.hlayiso.com/library/gr-10-math-p1-english-june-2023-question-paper/118ff241-0ff9-4f35-988f-c7760463f25d - Updated: 2026-09-27 - Subject: Mathematics - Grade: Grade 10 - Language: English - Document type: Question paper - Year: 2023 - Exam period: Gauteng June Exam - Paper: 1 - Curriculum: CAPS - Pages: 5 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 June 2023 QP (Eng)](https://www.hlayiso.com/library/gr-10-math-p1-english-june-2023-question-paper/118ff241-0ff9-4f35-988f-c7760463f25d) ## About this document Mathematics · Grade 10 · Gauteng June Exam · 2023 · English. Question paper, 5 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 PROVINCIAL EXAMINATION JUNE 2023 GRADE 10 MATHEMATICS PAPER 1 TIME: 1 hour MARKS: 50 5 pages P.T.O. ### Page 2 Downloaded from hlayiso.com MATHEMATICS 2 (PAPER 1) GRADE 10 INSTRUCTIONS AND INFORMATION Read the following instructions carefully before answering the questions. 1. Answer ALL the questions. 2. This question paper consists of 5 questions. 3. Present your answers according to the instructions of each question. 4. Clearly show ALL calculations, diagrams, graphs, et cetera, which were used in determining the answers. 5. Answers only will NOT necessarily be awarded full marks. 6. Use an approved scientific calculator (non-programmable and non-graphical), unless stated otherwise. 7. Where necessary, answers should be rounded-off to TWO decimal places, unless stated otherwise. 8. Diagrams are NOT necessarily drawn to scale. 9. Number the questions correctly according to the numbering system used in the question paper. 10. Write neatly and legibly. P.T.O. ### Page 3 Downloaded from hlayiso.com MATHEMATICS 3 (PAPER 1) GRADE 10 QUESTION 1 Determine the following without the use of a calculator: 1.1 Between which two consecutive integers lies – 69 (2) 1.2 Show that 0,9 = 1 (3) [5] QUESTION 2 2.1 Factorise the following expression: 3x2 + 9x – 2xy – 6y (2) 2.2 Simplify: 2.2.1 m2  64  m  8 m2  8m m (4) 2.2.2 2n1.8n1 16n (3) [9] QUESTION 3 Solve for the unknown variable in each of the following: 3.1 (a + 1)(a2 + 2a – 3) = a(a2 + 3a) (3) 3.2 2x2 + x – 3 = 0 (2) 3.3 Solve the inequality: 3  2x – 1 < 7 (2) 3.4 Solve for x and y simultaneously: 3x + y = 272 2y = 4x + 1 (4) [11] P.T.O. ### Page 4 Downloaded from hlayiso.com MATHEMATICS 4 (PAPER 1) GRADE 10 QUESTION 4 k 1 The graphs of f(x) = 2x2 – 2 and g(x) = – + 1 are drawn below. x 2 A and B are the x-intercepts of f and C is the y-intercept. D(–2 ; 6) is a point of intersection between the two graphs. y f D(–2 ; 6) A B x C g 4.1 Write down the: 4.1.1 Domain of g (2) 4.1.2 Range of f (2) 4.1.3 Equation of the horizontal asymptote of g (1) 4.2 Calculate the length of AB. (3) 4.3 Show that k = 9. (2) 4.4 Write down the equation of the line of symmetry of g, with a positive gradient. (2) 4.5 Write down the value(s) of x such that: 4.5.1 g(x) > f(x) (2) 4.5.2 Both f and g increase as x increases (1) 9 4.6 Describe the transformation of g to h if h(x) = – 3,5 x (2) [17] P.T.O. ### Page 5 Downloaded from hlayiso.com MATHEMATICS 5 (Paper 1) GRADE 10 QUESTION 5 Given: h(x) = 2x – 4 5.1 Calculate the x-intercept of h. (2) 5.2 Calculate the y-intercept of h. (1) 5.3 Hence, sketch the graph of h on a system of axes clearly showing the intercepts with the axes and asymptote. (3) 1 5.4 Write down the point of intersection between y = 2x – 4 and y = – 4. 2x (2) [8] TOTAL: 50 END ## Related documents - [Gr 10 Mathematics P1 (English) November 2022 Question Paper](https://www.hlayiso.com/library/gr-10-mathematics-p1-english-november-2022-question-paper/9fd7fdac-14c6-44f7-b7d1-0903e3efa9a2) — Mathematics · QP · 2022 · Eng - [Gr10 Math P1 (English) 2020 Exemplars Question Paper](https://www.hlayiso.com/library/gr10-math-p1-english-2020-exemplars-question-paper/158652c3-9dc3-4e0d-abd5-566d18b569f0) — Mathematics · QP · 2020 · Eng - [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 - [Gr10 Math P1 (English) November 2018 Question Paper](https://www.hlayiso.com/library/gr10-math-p1-english-november-2018-question-paper/cc7fff70-dc61-4042-9572-79f5ca9389ea) — Mathematics · QP · 2018 · Eng - [Gr10 Math P1 (English) November 2017 Question Paper](https://www.hlayiso.com/library/gr10-math-p1-english-november-2017-question-paper/64ca197a-1fe7-4571-a67b-cbca9f955bb0) — Mathematics · QP · 2017 · Eng ## More from Grade 10 Mathematics - [Grade 10 Mathematics P2 November 2026 Mock Memo](https://www.hlayiso.com/library/grade-10-mathematics-2026-november-mock-exam-memorandum-paper-2/ce3b0a71-94ab-4e5e-8316-cc54779fc61a) — Memo · 2026 · Eng - [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 ## 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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