# Mathematics Grade 10 P2 Gauteng June 2018 QP (Eng) > Grade 10 Mathematics Paper 2 question paper from the Gauteng June 2018 (English), 6 pages. Read online or get the free PDF download, memo linked when available. - Page: https://www.hlayiso.com/library/gr10-math-p2-english-june-2018-question-paper/a8856885-c0d6-4a4e-b62a-78ead7bc5329 - Updated: 2026-09-27 - Subject: Mathematics - Grade: Grade 10 - Language: English - Document type: Question paper - Year: 2018 - Exam period: Gauteng June - Paper: 2 - Curriculum: CAPS - Pages: 6 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 P2 Gauteng June 2018 QP (Eng)](https://www.hlayiso.com/library/gr10-math-p2-english-june-2018-question-paper/a8856885-c0d6-4a4e-b62a-78ead7bc5329) ## About this document Mathematics · Grade 10 · Gauteng June · 2018 · English. Question paper, 6 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 P2 (English) June 2018 Possible Answer](https://www.hlayiso.com/library/gr10-math-p2-english-june-2018-possible-answer/bb750159-64b8-41c2-8174-05197986ea20) — Memo · 2018 · Eng ## 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 PROVINCIAL EXAMINATION JUNE 2018 GRADE 10 MATHEMATICS PAPER 2 TIME: 1 hour MARKS: 50 5 pages and 1 answer sheet P.T.O. ### Page 2 Downloaded from hlayiso.com MATHEMATICS 2 (Paper 2) Grade 10 GAUTENG DEPARTMENT OF EDUCATION PROVINCIAL EXAMINATION MATHEMATICS (Paper 2) TIME: 1 hour MARKS: 50 INSTRUCTIONS 1 Answer ALL the questions. 2 Clearly show ALL calculations, diagrams, graphs, etc. that you have used in determining your answers. 3 Answers only will not necessarily be awarded full marks. 4 An approved scientific calculator (non-programmable and non-graphical) may be used, unless stated otherwise. 5 If necessary, answers should be rounded-off to TWO decimal places, unless stated otherwise. 6 Diagrams are NOT necessarily drawn to scale. 7 Number your answers according to the numbering system use in this question paper. 8 It is in your interest to write legibly and to present your work neatly. P.T.O. ### Page 3 Downloaded from hlayiso.com MATHEMATICS 3 (Paper 2) Grade 10 QUESTION 1 1.1 In the diagram below, A(5:12). Use the diagram to answer the following questions. 𝑦 A (5; 12) 𝑟 𝜃 0 𝑥 1.1.1 Determine the value of . (2) 1.1.2 Calculate the value of sin  and cot  . (2) 1.1.3 Prove that sin  . cot  . sec  1 (2) [6] QUESTION 2 2.1 Determine the value of the following expression by using a calculator: 4sin120 tan 200  cos 70 (2) 2.2 Determine the value of in each of the following equations, correct to ONE decimal place, if . 2.2.1 3cos   2,1 (2) 2.2.2 sin   25   0,845 (2) [6] P.T.O. ### Page 4 Downloaded from hlayiso.com MATHEMATICS 4 (Paper 2) Grade 10 QUESTION 3 3.1 Without the use of a calculator (show all steps), determine the value of: cos 0  sin 2 60  2 sin 45 (4) 3.2 Find the value of x , without the use of a calculator. cos 50 . cos 30 . sec50 x . tan 60  tan 45 (5) f ( x)  2 tan x 3.3 Given: g ( x)  cos x  1 3.3.1 Sketch the graphs of f and g on the same set of axes on the ANSWER SHEET on page 6 for x  180 ;180  . (6) 3.3.2 Write down the amplitude of g . (1) 3.3.3 What is the period of f ? (1) 3.3.4 For which values of x is g ( x)  0 ? (2) [19] QUESTION 4 In the diagram below quadrilateral ABCD, AB // CD; ̂ = ; ̂ and ̂ 120 A D 2𝑥 B 𝑥 C 4.1 Prove that AD // BC. (4) 4.2 What type of quadrilateral is ABCD? Give a reason for your answer. (2) [6] P.T.O. ### Page 5 Downloaded from hlayiso.com MATHEMATICS 5 (Paper 2) Grade 10 QUESTION 5 ˆ and CR // BD. In the diagram below is ABCD, a parallelogram. CR bisects DCE A D 2 1 R O 1 1 2 2 E B C Prove that: 5.1 BC  CD (5) 5.2 ABCD is a rhombus. (3) 5.3 If it is given that BD = 24 and AB = 13 , then AC = 10 . (5) [13] TOTAL: 50 END ### Page 6 Downloaded from hlayiso.com MATHEMATICS 6 (Paper 2) Grade 10 ANSWER SHEET HAND THIS ANSWER SHEET IN TOGETHER WITH YOUR ANSWER BOOK. NAME: _____________________________________ GRADE: 10 _______ QUESTION 3 3.3.1 𝑦 𝑥 0 ## Related documents - [Gr10 Math P2 (English) November 2018 Question Paper](https://www.hlayiso.com/library/gr10-math-p2-english-november-2018-question-paper/4ce9910b-1c24-41bf-9655-2caa4033584f) — Mathematics · QP · 2018 · Eng - [Gr10 Math P2 (English) June 2019 Question Paper](https://www.hlayiso.com/library/gr10-math-p2-english-june-2019-question-paper/306f487b-807d-4bdd-a26d-882dacdbe6cb) — Mathematics · QP · 2019 · Eng - [Gr10 Math P2 (English) June 2017 Question Paper](https://www.hlayiso.com/library/gr10-math-p2-english-june-2017-question-paper/b5f34c52-34e2-4402-9d23-ed733526a7b3) — Mathematics · QP · 2017 · Eng - [Gr10 Math P2 (English) June 2016 Question Papers](https://www.hlayiso.com/library/gr10-math-p2-english-june-2016-question-papers/f02455ff-9acd-4b3a-9096-77e0aa2c69c0) — Mathematics · QP · 2016 · Eng - [Gr10 Math P1 (English) June 2018 Possible Answer](https://www.hlayiso.com/library/gr10-math-p1-english-june-2018-possible-answer/c7e9b1a7-d752-4662-8fa4-b9eb6e9b2078) — Mathematics · Memo · 2018 · Eng - [Gr10 Math P2 (English) June 2017 Possible Answers](https://www.hlayiso.com/library/gr10-math-p2-english-june-2017-possible-answers/26dc2a6d-2c76-4c1c-a2b8-614d6e862891) — Mathematics · Memo · 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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