# Mathematics Grade 10 P1 Gauteng June 2022 QP (Eng) > Grade 10 Mathematics Paper 1 question paper from the Gauteng June 2022 (English), 5 pages. Read online or get the free PDF download, memo linked when available. - Page: https://www.hlayiso.com/library/gr10-math-p1-eng-june-2022-question-paper/bbf3fad1-a6fb-4397-995e-6ffed83424f2 - Updated: 2026-09-27 - Subject: Mathematics - Grade: Grade 10 - Document type: Question paper - Year: 2022 - Exam period: Gauteng June - 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 2022 QP (Eng)](https://www.hlayiso.com/library/gr10-math-p1-eng-june-2022-question-paper/bbf3fad1-a6fb-4397-995e-6ffed83424f2) ## About this document Mathematics · Grade 10 · Gauteng June · 2022. 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 2022 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 1. Answer ALL the questions. 2. This question paper consists of 4 questions. 3. Present your answers according to the instructions of each question. 4. Show ALL calculations, diagrams, graphs et cetera, which were used in determining the answers, clearly. 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 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 1.1 1 Given: A = 𝑥 ∈ {0; 1; 2; 3} √3+𝑥 For which value(s) of x will the expression A be rational. (1) 1.2 Factorise the following expressions fully: 1.2.1 2 x 2 − 32 (2) 1.2.2 6a 2 − b + a ( 2 − 3b ) (3) 1.3 Simplify the following completely: 1.3.1 ( x − 1)( x 2 + x + 1) (2) x+7 3 2 1.3.2 − + x − x − 6 x − 3 2x + 4 2 (5) 4 x +1.9 x 1.3.3 (3) 62 x −1 1.4 If x is an even integer and x  1 , arrange the following in ascending order: −2 x , 2 x , 2− x , 2 x , 2 x 0 2 (2) [18] P.T.O. ### Page 4 Downloaded from hlayiso.com MATHEMATICS 4 (Paper 1) GRADE 10 QUESTION 2 2.1 Solve for x: 2.1.1 ax = b (2) 2.1.2 3x + 3x−1 = 36 (3) x x 2.2 Given:  +1 3 2 2.2.1 Solve for x in the inequality. (2) 2.2.2 If x   , write down the first two digit number that satisfies the inequality. (1) 2.3 Solve for x and y simultaneously: 2x + y = 4 and 3x − y = 11 (4) [12] QUESTION 3 Study the patterns below and answer the questions that follow. Pattern 1 Pattern 2 Pattern 3 The patterns are the first three terms of a sequence for which the value of the term is given by the number of sticks in the pattern. 3.1 Write down the number of sticks in each of the first five terms of the sequence. (2) 3.2 Write down the general term, 𝑇𝑛 of the sequence. (2) 3.3 Solve for 𝑇131 (2) [6] P.T.O. ### Page 5 Downloaded from hlayiso.com MATHEMATICS 5 (Paper 1) GRADE 10 QUESTION 4 The graphs of 𝑓(𝑥) = −𝑥 2 + 4 and 𝑔(𝑥) = 𝑚𝑥 + 2 are sketched. A and E are the 𝑥-intercepts of 𝑓 . B and D are the 𝑦-intercepts of 𝑓 and 𝑔 respectively. 𝑓 and 𝑔 intersect at A and C. y g B C D A E x f 4.1 Determine the coordinates of points B and D. (2) 4.2 Write down the range of f. (1) 4.3 Determine the length of AE. (4) 4.4 Calculate the value of m. (2) 4.5 Determine the coordinates of A and C, the points of intersection of f and g. (3) 4.6 If 𝑘(𝑥) = 𝑔(−𝑥), determine the values of x such that 𝑓(𝑥) ≥ 𝑘(𝑥). (2) [14] TOTAL: 50 END ## Related documents - [Gr 10 Mathematics P1 (Afrikaans) November 2022 Question Paper](https://www.hlayiso.com/library/gr-10-mathematics-p1-afrikaans-november-2022-question-paper/cb90cd4a-f97b-4561-bdc2-4d79045b30bb) — Mathematics · QP · 2022 · Afr - [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 (Afrikaans) June 2018 Question Paper](https://www.hlayiso.com/library/gr10-math-p1-afrikaans-june-2018-question-paper/521b2294-1c34-488d-ae4e-e2863fffef72) — Mathematics · QP · 2018 · Afr - [Gr10 Math P1 (Afrikaans) June 2016 Question Papers](https://www.hlayiso.com/library/gr10-math-p1-afrikaans-june-2016-question-papers/bc064649-cbd2-48d4-a47d-a2a730f07000) — Mathematics · QP · 2016 · Afr - [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 (ENG AFR) June 2022 Possible Answers](https://www.hlayiso.com/library/gr10-math-p2-eng-afr-june-2022-possible-answers/d0878daf-3759-48f6-8ebf-76cf8f018a3f) — Mathematics · Memo · 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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