S> BOTSWANA EXAMINATIONS COUNCIL Sy Petovana Genera Coteate of Secondary Education CANDIDATE featd oe ] NAME, ‘CENTRE th CANDIDATE. | ont conan ‘hour 30 minutes CCantlidates answar on the Question Pape ‘Additional Matorials: Geometrical READ THESE INSTRUCTIONS FIRST ‘Write your centro number, candidate number and name in the spaces provided al the top of his page. ‘Answer all questions, Write your answers inthe spaces provided onthe question paper. lt svorkng is needed for any question i must be shown bolw that question, Omission of essential working will sult ia loss of marks Do not use staples, paper cips, highlighters, glue o erection fi ‘The number of marks is given in brackets [al the end cf each question or part question, “The total ofthe marks or his paper is 50 Ifthe degree of accuracy s nt specified inthe queston andi the enswer isnot exact, the anewer should be ‘ven to three significant figures. ‘THE USE OF ANY CALCULATING AID IS NOT ‘ALLOWED IN THIS PAPER, For Examiners Use ‘This document consists of 10 printed pages and 2 biank pages ‘©sec 2016 (Turn over‘Mathematical formulae for papers 1 and 2 ‘Surface area and volume of solids Name of sol Total surface area Volume 2 ey cone, ar? nal yuh 1 pyramid base area x height 3 ' 2 48 ‘aphoro nr 3m Trigonomotry sinA _sinB _ sinc Sino Rulo ate Ree ae eee ed ‘sinA ~ sinB © sinc 1 ‘Aron of a triangle = Javanc3 tobe 11 The length of a rope is 148m, A number of places of rope, each of length of Om, cut off from the rope (2) How many pieces ofthe rope wil be cut off? (b) What will be the length ofthe remaining piece of rope? Answer (0). a O.. (1) PEPEEH He eHEe Het EEE eee EP eee eee eer re eeSt eee eeeeeee eee 2 An employee worked from 1490 to 2290, (2) How many hours ci the employee work? {b) The employee eams P67.50 per hour. Calculate the amount of meney that the employee earned in tat period ‘Answer (2). hours [1], (op. a 2 Acar covers a distance of 231 km in 2hours 45 minutes. Calculate the average speed, in kmh, ofthe ca. AMBWEF sn (2) |4 Solve the simultaneous equations 2x +y=9 and x +3y= Answer =.. 6) ence 2016 @ oxsanvonie [Tur oversvannace 4 5. The first four tarms of a sequence are 19, 13, 7 and 1 Write down (a) the Sth term, (b) _aneexpression forthe th term of the sequence. Answer (@) oneness a (Bene z ic) HECHEE cee eee Here cee eee ese eee aero [6 The diagram below shows e parallelogram DEFG. The size of DEF = 115°. The line GHis an extension of the line FG. p . Fi é 4 Caleulate the size of @ GbE, (e) 06H ee 0 0). n7 (@) Ont pair of axes below, drow the graph ofy = 2 x= 1 for values of x rom 3103 a Ea] Hh 7 HS i a ll H | dE (b) Show, by shading the unwanted region, the set of points that satisfy the 2 inequality y 2 5-1 a 18 A rectangular plot measures 9m by 12m. (a) Calculate the area ofthe plot. {b) Abag of fertiiser Is enough for an area of 36m? Cleulate the number of bags of fortlisr that are needed forthe plot pec 2016 a cosaovonts [Tur overra) Banat e r 9 ‘Write down all triangle numbers between 20 and 30 snows 40 The ciagram below shows a door wodge wt a tiangular cross-section, The etobsancion hes o bass of. Sem and a height of 2am. The length ofthe wedges represented by rom. The volume of the wedge is 23.750m°. ‘ Las fi os Calculate the length, r, of the wedge. Awe senQ X_ x-5 14 (a) express £228 aaa sige acon Answer... (i! {b) Caloulate the value of 7 + 2x— x2 when x Answer, a en osss0HoN6’ 12, The table below shows distances, d metres, covered by each ofthe 30 athletes ina long jump competion. Distance, | Number of (metres) athletes 62sd<64 2 645d<66 2 66s0<68 10 685d<70 5 70sd<72 (2) Whatis the modal class ofthe istibution? (©) Anathiete is choson at random for come tests ‘What isthe probabilty in lowest terms, that the athiete would have covered less than oon? (c) —_Onthe grid below, draw a histogram to represent the distance covered by the 30 athletes, 2 Hl {| i i TAN : Numb ot athletes If i 1 HEE + es ee + r - EMA TTT: RUE CC Distance. cimeves) Answer (0 onan) eee gence e eee ini = cxaionns stem ue CorinaFor exonnor ri 8 143. The scale of a map is 1:2000000. The distance between two villages is 400km. (@) Express 400km in centimetres. (b) Caloulate the aistance on the map between the points representing the vilages. Express your answer in cm. Answer (2). see] (DerenesmnnrennnessOM [2] 14 The diagram below shows the points A, B and Con the ground. AB = BC and the size of BCA= 38". The bearing of B from Cis 086". Zz N Calcuta lculate » (a) the size of ABC, {b) the bearing of C from B, Answer (a). 2 (Deorrsen cence [2]18 The diagram below shows a regular polygon. (2) Whatis the geometrical name of the polygon? (b) Caleutate the size of each interior angle ofthe polyoon, Show your working Answer (). : "1 Worso z a 116 The diagram below shows triangle T. Draw the image of triangle T-after a translation usa even 4}: @ exec 20%8 csss0uone [Turn over10 > 17 The points © and Q are on a plane. Os the origin and OG = 3]: (a) What are the coordinates of the point Q? > (b) Calculate the magnitude of OG. Answer) ( . th (d)... 2]