Mathematics Grade 10 IEB Paper 1 June 2013 Question Paper

Downloaded from hlayiso.com TEACHERS WITHOUT BORDERS PROGRAMME BROUGHT TO YOU BY With grateful thanks to our associate partners, The National Department of Basic Education, The Independent Examinations Board, Siyavula Education, Smarticks, Noteshare, Lemonlicious, datacentrix, and most of all, to the schools and teachers from both the public and private education sectors who as founder contributors, have lent content to the Teachers without Borders programme, for the benefit of all South Africa's learners. In Bill Gates words, at the Mandela Day ‘Living Together’ address: “Maintaining the quality of this country’s higher education system while expanding access to more students will not be easy. But it’s critical to South Africa’s future” – working together, we can help achieve this." Contributing schools to date: Clifton School Milnerton High Rustenburg Girls’ High St Peter's Durban Girls' Northwood High St Anne's DC St Stithians Fairmont High Roedean St John's DSG Wynberg Boys' High Herzlia High Rondebosch Boys’ St Mary's DSG Kloof Wynberg Secondary

Downloaded from hlayiso.com Mathematics July Examination Grade 10 Mathematics July Examination Paper 1 Total: 100 marks Time: 2 hours Date: 18 July 2013 Session: 1 Candidate: Name of Maths Teacher: For examiner’s use only SECTION SECTION A SECTION B QUESTION 1 2 3 4 5 6 7 TOTAL ACTUAL MARK POSSIBLE 9 12 21 31 6 14 7 100 MARK INSTRUCTIONS TO CANDIDATES 1. 2. 3. This paper consists of 11 pages. This paper is answered on the Question Paper. Show all relevant steps in calculation. Providing answers only will not earn any of the method marks, Calculators may be used, unless otherwise stated. Round off to 2 decimal places where applicable. GOOD LUCK BROUGHT TO YOU BY ‘Tt Y | ieee | ¥ education Page 10f21

Downloaded from h layiso com July Examination SECTION A QUESTION 1; 1.1 Express 0,15 asacommon fraction (4) 1.2.1 Express the following number line in set — builder notation. (3) Ss . e @ o ee + + + + + i> 2 “4 0 4 2 3 4 1.2.2 What is the smallest integer in this set of numbers? (1) 1.2.3 Express in interval notation. (1) [9] ‘BROUGHT To YOU BY w | | @ | ty | datacentilz | WO sete, Page 2 of 12 son ED

Downloaded from, hlayiso.com athe: July Examination UESTION 2: Factorise the following: 21 x? -10x-24 (2) 2.2 4x? -8x-ax+2a (3) J 23 50y?-32 (3) J 2.4 64x3 —27y® (4) [12] BROUGHT To YOU BY Page 3 of 11

Downloaded from hlayiso.com ics July Examination QUESTION 3 Simplify the following fully: S(x-1) ox-1 x-3 3.1 -——+ 5 6 2 3 ®) 327-1 gael 3.2 oar (5) | Pr 3.2" -4.2"? (5) . 27 pm I I Page 4 of 11 rr | datacentrix, ¥ education

Downloaded from hlayiso.com athematics July Examination 1 x? +4x—-21 x-9 “4 3 7 *F (6) x* —5x-14 x* —49 x —4x—21 [21] QUESTION 4 Solve for x: 41 2(x—- 3)-—x=-3(x-2) (a) _j w | | a MY | datacentrix Page 5 of 11

Downloaded from hlayiso.com Mathematics duly Examination xt1 = -a 4 {5) | 9 2 2°? “ (3) sRouGHT TO You sy & [Tt EP education Page 6 of 11

Downloaded from hlayiso.com Mathematics July Examination 1 4.5 vs (2) 81 46 —7(3x—-2)+5(2x+3)27 Illustrate this answer on a number line (4) 7 4.7 — Solve for x and y (algebraically) by means of simultaneous equations: (6) 5x-2y =6 and 3x+4y=14 BROUGHT TO YOU BY w | | &® mu | pen y ou Page 7 of 11 a —

Downloaded from hlayiso.com Mathematics July Examination 48 f= (3) gr 7 [34] SECTION B QUESTIONS 5.1 Find the equation of the straight line perpendicular to y= -= x-3 that passes through (1;2) (2) 5.2. Find the equation of the hyperbola y =— that passes through the point (-2;-3) (2) x BROUGHT TO YOU BY Page 8 of 11

Downloaded from hlayiso.com Mathematics July Examination 5.3. Find the equation of the exponential graph y =a” that passes through the point ( 2;9 ) (2) [6] QUESTION 6 Given: y f(x) =x? -—9 D gtx) = mx +e F E (0 ; 6) ™~, ~e A 6 . Po 6.1 Find the co-ordinates of A and B. (4) | = = =| Page 9 of 11 iT | datacentrix. | bY feces

Downloaded from hlayiso.com Mathematics duly Examination 6.2 Find the values of m and c (3) 6.3 Find the co-ordinates of D, the point of intersection between f and g. (4) 6.4 Write down the domain of g. (1) 6.5 For which values of xis f increasing as x decreases. (2) [14] BROUGHT TO YOU BY w | | aN TL | ‘ion | ¥ education Page 10 of 11 frrowet iM a B Sducation

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