# Mathematics Grade 10 P1 Gauteng June 2018 QP (Eng) > Grade 10 Mathematics Paper 1 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-p1-english-june-2018-question-paper/bce07d5a-a74c-4c7b-b164-979a41fea687 - Updated: 2026-09-27 - Subject: Mathematics - Grade: Grade 10 - Language: English - Document type: Question paper - Year: 2018 - Exam period: Gauteng June - Paper: 1 - 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 P1 Gauteng June 2018 QP (Eng)](https://www.hlayiso.com/library/gr10-math-p1-english-june-2018-question-paper/bce07d5a-a74c-4c7b-b164-979a41fea687) ## 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 P1 (English) June 2018 Possible Answer](https://www.hlayiso.com/library/gr10-math-p1-english-june-2018-possible-answer/c7e9b1a7-d752-4662-8fa4-b9eb6e9b2078) — 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 1) TIME: 1 hour MARKS: 50 6 pages P.T.O. ### Page 2 Downloaded from hlayiso.com MATHEMATICS (PAPER 1) 2 GRADE 10 GAUTENG DEPARTMENT OF EDUCATION PROVINCIAL EXAMINATION MATHEMATICS (PAPER 1) 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 the answers correctly according to the numbering system used 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 (PAPER 1) 3 GRADE 10 QUESTION 1 1.1 The value of 33 lies between two integers. Find these integers without finding the exact value of 33. (2) 1.2 Convert the following recurring decimal fraction 0, 4 5 to a common fraction in its simplest form. (3) [5] QUESTION 2 2.1 Simplify: 2.1.1 (3x) 2 ( 2 xy ) 3 2x5 y 4 (3) 2.1.2 1  1  q 1 2   q   q   2   qp  p  p  p q  (3) 2.2 Factorise completely: 2.2.1 6 p  40  p 2 (3) 2.2.2  xy  ( y  x)b  b2 (4) [13] P.T.O. ### Page 4 Downloaded from hlayiso.com MATHEMATICS (PAPER 1) 4 GRADE 10 QUESTION 3 3.1 Solve for x : x2 3 1   x  3x  4 x  4 2  2 x 2 (5) 3.2 Solve for x if x IR, and illustrate your answer on a number line. x  2  1  3 2 (3) [8] QUESTION 4 4.1 The following pattern is given: 5 ; 8 ; 11 ; 14 ; … Determine the general term of the pattern. (3) 4.2 3x  7; 2 x; 3x  1;.... are the first three terms of a linear pattern. 4.2.1 If the pattern continues in this manner, determine the value of x. (4) 4.2.2 Which term in the sequence is the first to be greater than 31? (3) [10] P.T.O. ### Page 5 Downloaded from hlayiso.com MATHEMATICS (PAPER 1) 5 GRADE 10 QUESTION 5 5.1 The sketch below shows the graph of f ( x)  b x  q . A point A(2;5) appears on the graph. Calculate the values of b and q . (3) P.T.O. ### Page 6 Downloaded from hlayiso.com MATHEMATICS (PAPER 1) 6 GRADE 10 3 5.2 Given: f ( x)   x  2 and g ( x)  , which is not drawn to scale. x P and Q are points of intersection of the graphs. G P f E B 0 Q F g Determine: 5.2.1 The coordinates of P and Q. (6) 5.2.2 The coordinate of B. (2) 5.2.3 The length of GF if E(-6; 0). (3) [14] TOTAL: 50 END ## Related documents - [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) 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 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 P1 (English) June 2017 Possible Answers](https://www.hlayiso.com/library/gr10-math-p1-english-june-2017-possible-answers/f0410453-7885-46f5-8a4d-6521771a981d) — Mathematics · Memo · 2017 · Eng - [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 ## 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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