# Mathematics Grade 10 P2 North West June 2019 Question Paper > Grade 10 Mathematics Paper 2 question paper from the North West June 2019, 8 pages. Read online or get the free PDF download, memo linked when available. - Page: https://www.hlayiso.com/library/mathematics-gr-10-paper-2/dea5a149-00db-45d2-9300-76496431c016 - Updated: 2026-09-27 - Subject: Mathematics - Grade: Grade 10 - Document type: Question paper - Year: 2019 - Exam period: North West June - Paper: 2 - 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 P2 North West June 2019 Question Paper](https://www.hlayiso.com/library/mathematics-gr-10-paper-2/dea5a149-00db-45d2-9300-76496431c016) ## About this document Mathematics · Grade 10 · North West June · 2019. Question paper, 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 GRADE 10 MATHEMATICS PAPER 2 MID – YEAR EXAMINATION 2019 MARKS: 75 TIME: 1 hour 30 minutes This question paper consists of 6 pages and 2 diagram sheets Demo NW/JUNE/MATH/ EMIS/6******* ### Page 2 Downloaded from hlayiso.com Mathematics/P2 NSC – Grade 10 NW/June 2019 INSTRUCTIONS AND INFORMATION 1. This question paper consists of 5 questions Answer. ALL the questions. 2. Clearly show ALL calculations, diagrams, graphs, et cetera that you have used in determining the answers. 3. An approved scientific calculator (non-programmable and non-graphical) may be used, unless stated otherwise. 4. If necessary, answers should be rounded off to TWO decimal places, unless stated otherwise. 5. Diagrams are NOT necessarily drawn to scale. 6. Number the answers correctly according to the numbering system used in this question paper. 7. It is in your own interest to write legibly and to present the work neatly. 2 Demo NW/JUNE/MATH/ EMIS/6******* ### Page 3 Downloaded from hlayiso.com Mathematics/P2 NSC – Grade 10 NW/June 2019 Question 1 In the diagram below, P(7; 4), Q(6; 6), R(0; 3) and S(t; k) are the vertices of quadrilateral PQRS. y Q (6; 6) R (0; 3) P (7; 4) S (t; k) x 0 1.1 Calculate the length of PQ. Leave your answer in a surd form. (3) 7 7 1.2 If T ;  is the midpoint QS, determine the coordinates of S (3) 2 2 1.3 If the coordinates of S are (1; 1), show that PR = QS. (5) 1.4 Show that QR  RS. (5) 1.5 Hence, what type of special quadrilateral is PQRS? Motivate your answer. (2)  1.6 Calculate the size of R S Q . (3) [21] 3 Demo NW/JUNE/MATH/ EMIS/6******* ### Page 4 Downloaded from hlayiso.com Mathematics/P2 NSC – Grade 10 NW/June 2019 Question 2 2.1 Determine the value of each of the following by using a calculator. Write down the answers correct to 2 decimal places. x  112,4 and y  48,6 1 2.1.1 sin x (2) 2 2.1.2 cos ec( x  y ) (3) x y 2.1.3 2 cos  (2)  2  1  2.1.4 tan x  (2) 3  2.2 Determine the value of θ, if θ  ( 0 ; 90) 2.2.1 tan   2,736 (1) 2.2.2 3 sin(3  60 )  0,531 (3) [13] Question 3 In the diagram below P (x; 5), OP = 13 units. Answer questions below without using a calculator. y P (x; 5) 13 α x 0 4 Demo NW/JUNE/MATH/ EMIS/6******* ### Page 5 Downloaded from hlayiso.com Mathematics/P2 NSC – Grade 10 NW/June 2019 3.1 Determine; 3.1.1 x (3) 3.1.2 tan  (1) 3.1.3 sin 2   cos2  (2) 3.1.4 Sec (2) 3.2 Simplify without using a calculator. cos ec20. sin 20  tan 45. sec 60 (6) cot 45. sin 90 [14] Question 4 4.1 In the diagram below, KLMN is a rhombus with diagonals intersecting at O. LKM = 34  K L 34◦ 1 2 1 O 1 2 4 3 1 1 2 2 N M ^ 4.1.1 Write down the size of O1 . (2) ^ 4.1.2 Calculate the size of L 1 . (2) ^ 4.1.3 Calculate the size of K N M . (4) 5 Demo NW/JUNE/MATH/ EMIS/6******* ### Page 6 Downloaded from hlayiso.com Mathematics/P2 NSC – Grade 10 NW/June 2019 4.2 In the diagram given below, ABEF is a parallelogram A F >> x 2x 7x B R >> E y S ^ 4.2.1 Express AFE in terms of x (3) 4.2.2 Calculate the value of x and y if SA = SF. (6) [17 ] Question 5 The diagram represents parallelogram ABCD with BE = DF A D F E B C Prove that: 5.1 ∆AEB ≡ ∆CFD (4) 5.2 AE‖CF (3) 5.3 AECF is a parallelogram (3) [10] 6 Demo NW/JUNE/MATH/ EMIS/6******* ### Page 7 Downloaded from hlayiso.com Mathematics/P2 NSC – Grade 10 NW/June 2019 Diagram Sheet Name: ___________________________________ Question 1 y Q (6; 6) R (0; 3) P (7; 4) S (t; k) x 0 Question 3 y 3.1 (x; 5) 13 α x 0 Question 4 K L 4.1 34◦ 1 2 1 O 1 2 4 3 1 1 2 2 N M 7 Demo NW/JUNE/MATH/ EMIS/6******* ### Page 8 Downloaded from hlayiso.com Mathematics/P2 NSC – Grade 10 NW/June 2019 4.2 A F >> x 2x 7x B R >> E y S Question 5 A D F E B C 8 Demo NW/JUNE/MATH/ EMIS/6******* ## Related documents - [Mathematics GR 10 MEMO Paper 2](https://www.hlayiso.com/library/mathematics-gr-10-memo-paper-2/fd8b4d94-5f7b-476b-9bf9-8c0e07f3d506) — Mathematics · Memo · 2019 - [Gr10 Math P2 (Afrikaans) June 2019 Question Paper](https://www.hlayiso.com/library/gr10-math-p2-afrikaans-june-2019-question-paper/263631af-e143-4e33-ac4f-f9901208b72e) — Mathematics · QP · 2019 · Afr - [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 - [MATHS P2 GR10 QP NOV2019 English](https://www.hlayiso.com/library/maths-p2-gr10-qp-nov2019-english/595f8054-31b9-4b5f-9f68-cabef8ef98a1) — Mathematics · QP · 2019 · Eng - [Mathematics-GR-10-Paper-2 -1](https://www.hlayiso.com/library/mathematics-gr-10-paper-2-1/25e0794f-f2c8-4571-94e4-d98e9ac53c95) — Mathematics · QP · 2018 - [MATHS P2 GR10 MEMO NOV2019 Afrikaans](https://www.hlayiso.com/library/maths-p2-gr10-memo-nov2019-afrikaans/39dbc8fd-f1d1-418a-86e7-d500f002f90f) — Mathematics · Memo · 2019 · Afr ## 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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