Mathematics Grade 10 IEB Paper 2 June 2013 Question Paper

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Downloaded from hlayiso.com Mathematics July Examination Grade 10 Mathematics July Examination Paper 2 Total: 100 marks I Time: 2 hours Date: 23 July 2013 Session: 1 Candidate: Name of Maths Teacher: For examiner's use only SECTION SECTION A __ | SECTION B QUESTION i 2 3 4 5 6 7 8 | 9] 10 TOTAL ACTUAL MARK POSSIBLE 8 12 6 8 18) 5/6 /15;10| 12 100 | MARK INSTRUCTIONS TO CANDIDATES 1. This paper consists of 7 pages. 2. This paper is answered on the Question Paper. 3. Show all relevant steps in calculation. Providing answers only will not earn any of the method marks. 4. Calculators may be used, unless otherwise stated. 5. Round off to 2 decimal places where applicable. GOOD LUCK BROUGHT TO YOU BY Page 1 of 7 rTtt 7 BE | tsconarz | ste

Downloaded from hlayiso.com Mathematics July Examination SECTION A QUESTION 1: Determine (with reasons) the value of the variable (a -d) in each case, Show ALL working and calculations. 0 s R 45°\0'b i 40 F R T P Q (4) .(4) [8] UESTION 2 2.1 Solve for x in the following diagram. Show all workings and reasons. Given : AB//CD. Arg D a Cc (5) 2.2 Given: Circle with centre O. A D E seouckT To vou BY Page 2 of?

Downloaded from hlayiso.com Mathematics July Examination 2.2.1 Provethat AABO = ADOE (5) 2.2.2 Hence, what type of quadrilateral is ABED ? Give a reason for your answer, {2} [12] QUESTION 3 Determine the value of each of the following with the aid of a calculator, correct to 1 decimal place : 3.1 sn( 242°) + 2008 41,3° (2) 32 sin(38,2° + 41,3°) (2) 33 stan{ 2.4" + cos? 215° (2) [6] QUESTION 4 In the given diagram: XOP =@ and OP = 13 4.1 Find the value of x. (3) 4.2 Hence determine the value of: P(x ;— 12) 4.2.1 3tan® (2) 4.2.2 (sin@ + cos@)? (3) (8) eT Page 3 of 7 education

Downloaded from hlayiso.com Mathematics July Examination QUESTION 5 Determine the value of B in each of the following equations. Answers correct to 2 decimal places 5.1 2sin 6 - 0,604=0 (2) 5.2 34 cos4p = 3,706 (3) 5.3 2sin( B — 60°) = 1,78 (3) 1 5.4 3 008 2B = 0,36 (3) 55 3sin( gE + 40°) = 2,86 (4) 56 4tanB=7-4 tang (3) [18] QUESTION 6 A A A Inthe diagram AD=14m, DC=13m » D=B=90° and BCA= 34°. 6.1 Find AC (3) 6.2 Hence find BC, D (2) 14m A 13m 34 B c 1) Page 4 of 7 BROUGHT To YOU BY GP education datacentrix | ¥ a

Downloaded from hlayiso.com Mathematics July Examination SECTION B QUESTION 7 fScosa+3=0 and tana <0 Evaluate, with the aid of a diagram: 2 tana [6] sina QUESTION 8 8.1 From a point on the 8round, the angle of elevation to the top of a building is 27°. The distance to the base of the building is 45m. Calculate the height of the building, correct to 1 decimal place. (4) BUILDING nyo of | Pq 27° a — 45m 8.2 In the diagram below, the breadth of the house is 10m and the length of the sloped Parts of the roof is 7m. Derk Sere? bee ge 8.2.1 Calculate the height of the vertical wall DE. (4) 8.2.2 Calculate the size of 4, the angle of elevation of the top of the roof from B. (3) 8.2.3 Calculate the length of the beam AC (4) [15] BROUGHT TO YoU BY Page 5 of 7 ducation datacentrix | ¥

Downloaded from hlayiso.com Mathematics July Examination QUESTION 9 Fernando Alonso wants to buy Mark Webber a Christmas Present. He decides to buy him a bottle of rare whiskey and package it in a fancy box. 2cm <= tiem Scm j FORMULA j i 1 ’ 200m Met ee ee a t2em Sem —— 6cm 9,1 Calculate the volume of the fancy box, (3) 9.2 Calculate the volume of the whiskey bottle. (5) 9.3 Hence, calculate the amount of space left over, once the bottle has been placed in the box. (2) [10] BROUGHT To YOU BY ert} GP education w | | & ey! | datacentrix. | bY feces Page 6 of 7

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