# Mathematics Grade 10 P2 Gauteng June 2016 QP (Eng) > Grade 10 Mathematics Paper 2 question paper from the Gauteng June 2016 (English), 9 pages. Read online or get the free PDF download, memo linked when available. - Page: https://www.hlayiso.com/library/gr10-math-p2-english-june-2016-question-papers/f02455ff-9acd-4b3a-9096-77e0aa2c69c0 - Updated: 2026-09-27 - Subject: Mathematics - Grade: Grade 10 - Language: English - Document type: Question paper - Year: 2016 - Exam period: Gauteng June - Paper: 2 - Curriculum: CAPS - Pages: 9 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 2016 QP (Eng)](https://www.hlayiso.com/library/gr10-math-p2-english-june-2016-question-papers/f02455ff-9acd-4b3a-9096-77e0aa2c69c0) ## About this document Mathematics · Grade 10 · Gauteng June · 2016 · English. Question paper, 9 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 GAUTENG DEPARTMENT OF EDUCATION PROVINCIAL EXAMINATION JUNE 2016 GRADE 10 MATHEMATICS (Paper 2) TIME: 60 minutes MARKS: 50 7 pages + 2 answer sheets P.T.O. ### Page 2 Downloaded from hlayiso.com MATHEMATICS Grade 10 2 (Paper 2) GAUTENG DEPARTMENT OF EDUCATION PROVINCIAL EXAMINATION MATHEMATICS (Second Paper) TIME: 60 minutes MARKS: 50 INSTRUCTIONS AND INFORMATION 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 scale. 7. Answer sheets for Questions 4 – 7 are located at the end of the question paper. Write your name in the spaces provided and submit them together with your ANSWER BOOK. 8. Number the answers according to the numbering system used in this question paper. 9. It is in your interest to write legibly and to present your work neatly. P.T.O. ### Page 3 Downloaded from hlayiso.com MATHEMATICS Grade 10 3 (Paper 2) QUESTION 1 sin  1.1 If point P( x ; y) is a point on the Cartesian plane and OP = r units. Determine . cos  y P (x ; y) r O (3) 1.2 In PQR, Qˆ  90 and Rˆ   . PQ  5 units, QR  12 units and PR  13 units. P 13 5 Q R 12 Write down the values of: 1.2.1 sin  (1) 1.2.2 sec  (1) 1.2.3 tan  (1) [6] P.T.O. ### Page 4 Downloaded from hlayiso.com MATHEMATICS Grade 10 4 (Paper 2) QUESTION 2 If 4 tan  3 and cos  is positive, use a sketch to calculate the value of : 2.1 5 sin   3 cot  (5) 2.2 25 cos 2  (2) [7] QUESTION 3 3.1 If x  42 and y  68 , by using a calculator, determine the value of: 3.1.1 sin x  2 cos 3 y (2) 3.1.2 3 tan 2 ( x  y) (2) 3.2 Determine the value of  , if   0    90, correct to 3 decimal places. 3.2.1 2 sin   1,432 (2) 3.2.2 tan 3  6,345 (3) [9] P.T.O. ### Page 5 Downloaded from hlayiso.com MATHEMATICS Grade 10 5 (Paper 2) QUESTION 4 4.1 In the diagram below BDFE is a rectangle with BD = 155 m. AD = 475 m and BC = 800 m. The angle of elevation from B to C is 22. 155 m 475 m Calculate: 4.1.1 Â (2) 4.1.2 CF (3) 4.2 Without the use of a calculator, calculate the value of : sin 2 45  cos 60  tan 10. cot 10 (4) [9] P.T.O. ### Page 6 Downloaded from hlayiso.com MATHEMATICS Grade 10 6 (Paper 2) QUESTION 5 In the diagram, Qˆ  30, Rˆ 2  110 and PR  RS . Determine, with reasons, the sizes of the following angles: 5.1 P̂1 (2) 5.2 P̂2 (3) [5] QUESTION 6 In quadrilateral ABCD, AD//BC and Bˆ  Dˆ . Prove that ABCD is a parallelogram. (5) [5] P.T.O. ### Page 7 Downloaded from hlayiso.com MATHEMATICS Grade 10 7 (Paper 2) QUESTION 7 7.1 In the quadrilateral, diagonals, AC and BD bisect at O. If AC  4 x y; BC  x 2  y 2 and BD  2 x 2  2 y 2 , prove that ABCD is a rhombus. A B O D C (5) 7.2 PQRS is a parallelogram, SR = ST and P̂  120 . P S >> 1 2 1 2 Q >> T R If Sˆ 2  4 x , calculate the value of x . (4) [9] TOTAL: 50 END ### Page 8 Downloaded from hlayiso.com MATHEMATICS Grade 10 8 (Paper 2) ANSWER SHEET 1 NAME OF LEARNER: _________________ GRADE: _______ QUESTION 4 155 m 475 m QUESTION 5 ### Page 9 Downloaded from hlayiso.com MATHEMATICS Grade 10 9 (Paper 2) ANSWER SHEET 2 NAME OF LEARNER: _________________ GRADE: _______ QUESTION 6 QUESTION 7 7.2 P S >> 1 2 1 2 Q >> T R ## Related documents - [Gr10 Math P1 (English) June 2016 Question Papers](https://www.hlayiso.com/library/gr10-math-p1-english-june-2016-question-papers/12b65bdc-382b-4ad9-937b-9e61a48214d1) — Mathematics · QP · 2016 · 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 2018 Possible Answer](https://www.hlayiso.com/library/gr10-math-p2-english-june-2018-possible-answer/bb750159-64b8-41c2-8174-05197986ea20) — 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 - [Gr 10 Mathematics P2 (English) November 2022 Question Paper](https://www.hlayiso.com/library/gr-10-mathematics-p2-english-november-2022-question-paper/38ddf19f-4fe7-4a67-8d45-930a8aeb92af) — Mathematics · QP · 2022 · 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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