Mathematics Grade 10 IEB Paper 1 June 2013 Memo

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: Mem (6) Name of Maths Teacher: For examiner’s use only SECTION SECTIONA 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 Ty | ieee | ws ate Page 1 of 11

Downloaded from hlayiso.com Mathematics July Examination SECTION A QUESTION 1: 1.1 Express 0,15 as a common fraction (4) leer =9,151515 --- © lOO% = 15, isisIS -~-- @ a4 aq a) mF 32, — ——_ 1.2.1 Express the following number line in set — builder notation. (3) e e e e e _— + + + + —> -2 4 0 4 2 3 4 wa ae iu - + Bay. at xe FP @ 1.2.2 What is the smallest integer in this set of numbers? (1) 1.2.3. Express in interval notation. (1) Ne iaterval Notation | {9] Page 2 of 11

Downloaded from hlayiso.com Mathematics July Examination SECTION A QUESTION 2: 1.1 Express 0,15 as a common fraction (4) i ee lek xc 20, 151515 ~-- © loo =15, 151515 --- © @Q -@ Wx =15 — OG Ga. a 94 4 @ x= V3 — ——_—__O__ 1.2.1 Express the following number line in set — builder notation. (3) e e @ @ e <_+t + + + + + _— 2 4 0 1 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) Neo interval Notation (9) BROUGHT To YOU BY datacontty — Sirauen Page 2 of 42

Downloaded from hlayiso.com Mathematics July Examination QUESTION 3 Simplify the following: Fuk i S@v-l _x-l | x-3 3.1 5 ar (5) — Sie) 342 BD LE ~ 6 “ = Sx -S-3xtBtr2x-6 © 6 2 = ba - BY _ u(x~-2) - 2(x-2 a (2) Gs 2 OP 2n-) grt! 22 (5) - an ay! (ay a ~ zene aen*= eo we oem sents -uUN UL = 3 : ©) = 3S, 3.2" ~4,.2"7 3.3 pt (5) = 3.2°-4. 2.2% 2™ -7 27! va Ving . ~(3-u.2°) ra) =~ BuwA_ Bri _f Ly. | — ez © Me fe BROUGHT To YOU BY Page 4 of 11 @& (T | GP education w | | sete _ | datacentrix | ¥ SaGaee

Downloaded from hlayiso.com Mathematics July Examination 1 _ 34 oe os +4x—- 21 x? 9 6) x -5x- i4 x49" x? 45-21 —-, (rD@-s7 CM 2" (20-7 2 ee | med) “ Cr) (x- “Dp * (+3). xe) = | CDI @ — [21] QUESTION 4 Salve for x: 4.1 2(x- 3)-x = —-3(x - 2) (4) Il = | aac &6-% F=-Be+eo we Qx-50 tBx = 6G x = 12 | im & m3 @ ——_—_—_____> datacentix Page Sof 11 = i) [= ¥ education @ sau

Downloaded from hlayiso.com Mathematics July Examination x-Z xed 4200 7 3 ft (5) Lcb = 6 — m-2-a(er) = Be —— ™-a@ -ax-2 = AY x-Axe =~ AY FERAR | —x=avwoL x=-ag — S) > 43 x4242 20 (4) LCD =2%”" x+#o0 ax rIo t+ 4 =O (ax WN (xu+H. =0 ee eo see, or x tr] (4) —> 440 3x? =4x (3) | Sx -Ux =o — x. (3x -4) =o ; | wa =a x:+0 Or xX = Ys ©) |

Downloaded from hlayiso.com July Examination Mathematics . y= 2 45 3 a (2) 3 — i BY uw -4t = vat 38-3 xe yy l 46 —7(3x -2)+5(2x+3)27 Illustrate this answer on a number line (4) —Dise FILS LOXHIG BT we i i. ~ Woe 2 T-1GU\S “ _ Pao e ee <<? x FF 2 2 4.7 Solve for x and y (algebraically) by means of simultaneous equations (6) 5x—2y =6 and 3x+4y =14 Sx-2y +e --- O xz - St Ly =\ 44 ~--@ a) Qs e@® J thay , {3ax =26 a {3 (3 as 2 — Subs into a — S(2)-2y = 6 (@) \O ~2y =6 uu a 74 ¥ + 4 eo Ze | TTY | ntmommer | A eduction Page 7 of 21

Downloaded from hlayiso.com Mathematics July Examination 48 F= Te 3) gr Lep = qc a Lu Eye + mes © Mm = Fac = on = go uM =go x = wm wa) ee [32] SECTION B QUESTION 5 5.1 Find the equation of the straight line perpendicular to y = ~3x-3 that passes through (1;2) (2) Yo pase $e Sutos C iD Q a-Ws3 20 va = mateo 7 ra 4 13 Yuoe o y="Yo + Js - & 47 oe ~ — K a= ( poral io — G=kK ss) i BROUGHT To YOU BY datacentrix, Page B of 11

Downloaded from hlayiso.com Mathematics 5.3 Find the equation of the exponential graph y = a” that passes through the point ( 2;9 ) July Examination (2) Ga” aS FO um . = 3* [6] QUESTION 6 Given: fQ@j=x?-9 D g(x) =mxtc A 9 (4) 6.1 Find the co-ordinates of A and B. Mein fe ler YrO x?-G =o (x+3X=x-3) =o BROUGHT To YOU BY

6.2 6.3 6.4 6.5 Downloaded from hlayiso.com Mathematics July Examination Find the values of m and c (3) is) EB onwre O =Bmtre c=6 a ~—~DBrn =6 — uw my Son xtro ma -2 —_—_——— Subs (34° a SE Find the co-ordinates of D, the point of intersection between f and g. (4) Paroiota = st bins eee ==5 xP -Gs-2xre 5 ; - yes) 9 x +tax-G-6 =O _ _ z yes “Te x tax-lS =O cel (+ S)(x-3) =e @ _ ve = me -S or 2c = 3 D Ga - > Write down the domain of g. (1) RS S xe R xE(-e, 0) @ For which values of xis f increasing as x decreases. (2) ow (i ee Zz ) (14] BROUGHT To YOU BY

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