Math - Sec 2 - SA 2 - 2021 - Bendemeer Sec

BP-86 l.i**ile;:rr'*L $ g0$nt' Si:i.r$iiiilir\' lititfi)l l-i::riiclrl,Jdr S0! r).t:(j 'i:,$ei*nd*; S;lt,:i Ll*l:dutr:*er' !ett:rr!;tr;r li;::h.:ili 11,'r.lru:,, r II:ril**rccr ti+niir".i:iii: i {:i*lrL:i::**t $i'ni:l*tui:cr lli:*ilsre*r' L{<ixJe::lq:et tiii;:).it:rt ti,:r Sr:iJ(xlrlilrl, Sq;lt<xi] I'Icxl{.i.*irltiir' $x:r:*:ri-v St;lior:i "lo r, :;*frnnl $*llrl*;nr"r :i":culda x $cl:l,r i Sc.:t'l:titr-r :iriirc.]el iicriilcr..ir:i Srt.r;*iiary' Schoo :+qi $ei:+*dalv S gi:+*; l9*;tdes:.:5i !96'.:rr{:1r"v $thirr! EGoNiDjARY 2-IEXRRESSI.:,;,..,,.;:i,,,.,iI;::i,:;,.'.,,,,;;::;i rr,:",;i;,,::,,',,. ,,.., . ,', ' DATE DURATION TOTAL : 8 Oct2A21 : t hour 15 minutes : 50 marks READ THESE INSTRUCTIONS FIRST Write your name, class and register number on all the work you hand in. Write in dark blue or black pen on both sides of the paper. You may use a 28 pencil for any diagrams or graphs. Do not use staples, paper clips, highlighters, glue or correction fluid/tape. Answer all questions. Write your answers in the spaces provided on the question paper. All the diagrams in this paper are not drawn to scale. lf working is needed for any question, it must be shown with the answer. Omission of essential working will result in loss of marks. The use of an approved scientific calculator is expected, where appropriate. lf the degree of accuracy is not specified in the question, and if the answer is not exact, give the answer to three significant figures. Give answers in degrees to one decimal place. For n, use either your calculator value ot 3.142, unless the question requires the answer in terms of z. The number of marks is given in brackets [ ] at the end of each question or part question. FOR EXAMINER'S USE 50 This document consists of 10 printed pages including this cover page. PartnerlnLearning 86 [Turn over Name:

I 8P.87 Compound Interest Mensuration Trigonometry Statistics MATHEMATICAL FORMULAE Total amoun t= p(t* -I-)'I loo/ Curved surface area of cone: m'l Surface area of a sphere = 4 n f Volumeofacone:L*'h J Volume of sphere : 1*tJ Area of triangle ABC : !absinC2 Arc length : /0, where d is in radians I Sector area : ! 12 e.where 0 isinradians 2 sinl sinB sinC a2 =b2 +c2 - }bccosA Mean: Zn fr Standard Deviation: Bendemeer Secondary School 2021End-Of-Year Examination I Sec2E / Mathematics Paper 1 PartnerlnLearning 87 Zn' Zr (>,n\'-[r7] Page 2

BP-88 Ansrn'er all the questions. 1-' (u) Calculate '/:.OA +'z; - 0.Zz ard,write down the first 5 digits on your calculator display..Js Write your answer to (a) corect to (i) 3 decimal places, (ii) 3 significant figures. Answer (a) Answer (bxi) (bxii) t1l (b) tll t1l 2 Amap is drawn to a scale of t cm to 500 m (a) Express the scale of the map in the form 1 : n, where n is an integer. Answer (a) If the actual distance between two towns is 3.5 km, find l1l (b) the co;nesponding distance on the map. Answer (b) (c) The actual area of a lake is 3.5 kmz. Calculate the area on giving your answer in square centimetres. cm ill the map which represents the iake, Answer (c) cmz l2l Bendemeer Secondary School 2021End-Of-Year Examination I Sec 2E / Mathematics Paper 1 PartnerlnLearning 88 Page 3

BP-89 3 (a) Expand and simPlifY 5-3(2x-L) Answer (a) (b) Factorise completely 3p'+4pq-9pr-LZqr Answer O) (c) Simpliff the expression 75x3yz i 9!'= 4x L6x2 Answer (c) t1l t21 l2l Bendemeer Secondary School 202L End-Of-Year Examination / Sec 2E I Mathematics Paper 1 Page 4 PartnerlnLearning 89

BP.90 Tuiti*ii 5 workers take 35 days to build a boat, Assuming the men work at the, rate, calculate the number of workers needed to build a boat in 25 days. WI Answer wolke-rs 12) t 5 Express as a single fraction 3x+2 (3x-L)(2x+7) 3x-! Answer t3l Bendemeer Secondary Schooi 2021 End-Of-Year Examination I Sec 2E / Mathematics Paper 1 PartnerlnLearning 90 Page 5

BP-91 6 Solve each of the following inequalities, representing the solution on a number line. (a) 3r*5 1x-3 Answer (a) Zx-L - 5x-9(b) (i) Solve the inequality S = ,(ii) Write down the least possible integer value for r. t3l Answer OXi) (bxii) t3l t1l Bendemeer Secondary School 202L End-Of-Year Examination I Sec2E / Mathematics Paper 1 Page 6 PartnerlnLearning 91

8P.92 7 Solve the foliowing equations. (a) 3x-2=7 (b) 2x2+7x-4=0 (c) lxz : e Anstuer (a) x = Answer (b) x= orx= l2l Answer (c) x =: or.r = l2l t1l 8 Given thatxz * y2 = L70 andxy : 77,findthe value ofx - y, giventhatx ) y. Answer x- - .y- =* . 12) Bendemeer Secondary School 2021 End-Of-Year Examination I See 2E / Mathematics Paper 1 Page 7 PartnerlnLeaming 92

BP-93 e (a) The total surface area of a cone is 24 rc cmz . Given 3 cm, find the volume of the cone. Answer In the diagram, AABE is similar to LACD, AB LABE = 90o (0 Find the length of BC. Tu that the radiu WI (a) 9ru:3 l4l = 4 cm, BE = 3 cm, CD = 24 cmand Answer (bxi) ." ." -" g!11 l2l Answer (bxii) :_ tll (b) (ii) Find the angle EAB. Bendemeer Secondary School 202 i End-O f-Y ear Examination I Sec 2E, / Mathematics Paper 1 PartnerlnLearning 93 Page 8 the cone is

BP- 94 10 (a) Given that s = fi +;at2, express a in terms of u, s and t. Answet" (a) .....9.....=. (b) Hence,flndthevalueof awhen.s = 5, t = 8 andu = -15. Answer (b) . .a_. -* l2l 12) 11 Solve the simultaneous equations. 2x*3Y=-P 3x-Y:14 Answer x = y== t3l Bendemeer Secondary Schooi 2}2|End-Of-Year Examination I Sec 2E / Mathematics Paper 1 Page 9 PartnerlnLearning 94

BP- 95 12 The graph of y = i* - , is drawn on the grid below. ,.:...i..,: 1.....: :,.....i, fi i:-r' t:i, i 'l :. ". r ii !lIr1--t :::; $ ,tilir I - a ,-- IIN -r,,a lr-!- - AIa:: 4 ""i:"x*",*,,1* -.;.*.-r,:lJ,V Tt=- ' ; ffix I 'r' r_Ifj ArG ffii i'-": r qr ' r-4.':,UB '",\ F ti i { ti ail i il fZ 'j' i *t-l-*." , ,. ..i.. a.*:t". I 4+! I i. i-..i-.-t .i.,-. . ;,)*,; '1"'1:' H,:1, .I .P '9"1"'f,"r"-t*t*:'-t"--tY fi "i***-.+*F {;::_ t- rffip a-..nf"\-at: i*i.,+ i 1-:" -i-:-"1' ir l l': 1- a- ,,i' fi 1; i i;'f a* ! -'f- ffiii ! it" A t i" T-?'-1 'r'i-r riit t-5 {J," ?-+ &,,i-.'& '# I +'i*-.- i -;_.,t: ,"-1 -l-; l-+ t.-.i..." liij. .:-;..i:F t ,,:{. v ._L 7-T" u,-t ;il-4 4.t*" ,*4-. 1,. *Mtl i '*t*f.*t l,r-+ t',,r.i ."1- 1 -i" *i"' i-..-i.-r. !-.;.'.n-. ..i,,,..r"". li N-i ', i ""i... * d".," "*i-T*{"" -"i*.i.-.}" *** ...*".i* 3:) ,:i,fr -_i-l-.i- :! 1 1.1 +iit-.:*,1*"y? ..J,-r....)....t- I il t-:j : a. t 'i3*r-ij' 'l Y:''1' 'i",tl*l t""., ;," J {-+"t"+ L.J-*r*.1*. 'l'"i "?*1 *i -I*t*: *d.*.1*;" (a) (i) On the grid above, draw and label the graph of y - -3.(ii) Write down the coordinates of the point of intersection between the 2 lines Y-:*-2and!=-3' Answer (a)(i) Sbgyn"-o_p grid " tll (it) i1l (b) (i) On the grid above, draw and label the graph of y - -Zx * 5. (ii) Hence, write down the solutions of these simultaneous equations !==x-z Y=-Zx+5. Answer (UO Sh"ofryg-o1r-gri4,, _. -"* t1l (ir L=__""- _ "v- =-- "- - l2l - End of Paper - Bendemeer Secondary School 2}2lEnd-Of-Year Examination I Sec 2E / Mathematics Paper 1 Page 10 PartnerlnLearning 95