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# January 2012 solution

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### January 2012 solution

1. 1. {anuarrl 2ol2Oueslion s \$) tr ) A tytLP is isosceles bcous. Llvl = lLP -. / / MPL /vtLP= /|ALP = lW zz = lL! =7zo Qi)/lfK = "^*rnah. nnqle Cqfl,t, in lkv dr* ry a z (panllp) ltlne4) i#{:M,Wio /ntl P [rl) / klJ= lgo -(zz +72) = n6 k morks) 6) ri ) p(z,t) CI U,z) e rrlarks) (tit A !^et ltcll an on lht )c- a:crs (2- marks) (iit ?(l -(:)= (:) Pb,-s) ) a(0.(?r) (Z mo rks) (o+ol n nwls
2. 2. {anuor,1 2atz0,uesf inn 6 [o) X ^2 -l o I 2 3 4 Y 5 o -3 -rl -3 0 5 )c- zx--3 x- -t P t|"-z(D z = t +2-V Q = X=Z * (Z)._20)_Z (2 4 -4 -3 = -3 rnnrks)
3. 3. {Ta be atlachad in ihe booklet wlth your othcr &nsw*r\$}Candidate *eglslratlon Number: Qupstlon Number: 6_
4. 4. {nnuaru 2ot2 d0ussh,M 7 l-leiohl I/tid- PofnL freqnww ,8- (q) l-l 5,5 l-20 15,5 25 2t -?o zs5 23 3t-10 3s.s 20 r/l - 50 45,5 lt4 (3 rnrk") 0l rit lt -zo hnlaiw fwqwA (nark1 ke h,ghesl (ii) ts +2s +22 + 20 + 14 = 100 *dl,V Q rnarfu) (iiit rrc1.ruurX x rniil-ponl l( x 55: qq 25xls,s = 387,5 23x255 =5865 2o x 3s,S =110 lLl x qs,S =637 2420 "nw1 4+- ry2o =24,2 Q morks)" 2I loo tiY) 2o 1v1= 3rf Y =g /oo 5o bnrqrks) ftA 0 rnorks
5. 5. FORM TP 2012017 qb,, TEST CODE OI234O2O JANUARY 2012 CARIBBEAN EXAMINAIIONS COUNCIL SECONDARY EDUCATION CERTIFICATE EXAMINATION MATHEMATICS Paper 02 - General ProficiencyAnswer Sheet for Question 8 Candidate Number(a) Draw the FOURTH shape in the pattern: [2 mnrksJ(b) Complete the table for Figure 4 and Figure 10. Total Number of Straws Figure Formula Number I l(6) - o 6 2 2(6)- | n -1 3(6), 2 r6 (i) 4 1@-3 2t lttt ltrt l------+ +--- ----1 I,ttl tttr ro(il-1 [1 rrtnrk"l(c) Which figure in the sequence Llses i06 straws? 106- I = loS /oS+5=21 2t Q rork";(d) Obtain an expression in n, for the total number of straws used in the zth pattem. 5n+t (, *orhs) 6kl lo nrorks ATTACH THIS ANSWER SHEET TO YOUR ANSWER BOOKLETn r aa ,nan /r a III I a D//n ant a
6. 6. 0urestion 1 Janro? 2otzfql ti I 14= Zx+3 }-Lj tj(r-l) = 2x+3 \$rc-,{ = 2Y+3 \$x- 2x=41 +l r(g-z) : /tg + r ., )c = 4lJ+g & rnarksj u-2 0i).. {-ul = 4x+3 (sur;bh r ,,r;l/r g) I narVo) x^2 0ii) zx+s a o 2x+g = o x -11 ->r 2n =-3 I . L --3/z (z marks) 6t (i) X7z 6 ) r+U(+o (Z nnrKs) tir) (6,2) ,Ao,to) r (6,34) (s narks) 0ii) P= rlx+ 3{ { (gol + 3 [ro) I2o + so =60 2Ll I toL =04 4(6) + 3 (3r{) .l fti0, lo) naV*x P a rnnximurvvt [4 nnrls) 6nl ts rnaro
7. 7. Cl Al Def,vrntywf of & : VXI ^2Xt 4 -2 = Z ,+dfortol 0=(, -2 q) :, 6 t ,+Iu, fnwyse op O : 2 (r -Z t prnrhs) Q [-t q) tiil (l i) (t) =(f) ft) =ff;:#)(t) , a I lr-2 2(.-r q )({) t /,xs vl -i:: ,:i =ir,) t q ns - tz / It = (z ) : x = I g= 2 (3 nrarks] Tarnt 15 lWwrs
8. 8. Tnnr,ta,X /:gtzOueshon lo. 0r ti) nOg : 26o.6 = 6o Q nark) (ii) ryxsin 6f= rc.s2su,,r Z (o,w o0 one tn:wrgD lo,szs x 6 fuWW = 6!.?5 c*. Otrs = 65 Cyn^ ( 3 rnarks) (? nqrks) (iiq)fin z6u =L /5 ,, pL = 15 X ban 2go = l,?ls6 m g,o rn = € s,g,,,p:unt pgnre) g no,Xl tbj kM" = Is+ lq"-zxlsxLg x frs tlso : g26,gI rn ,: ktYl: tW = /g,76n = 21n (zsign|pur* F11r*) Qnarks) (4 Lan & =!L nry =g ,: &=hn-, (#) = 2T,8su tl{ r = 23" ( z siXnih wn! ffguru) r#H*(s
9. 9. {anul,nl ZotzQueshorr l{ I (t nrark) 0) 0) ^t lql 0A = fll t4on Q mark) (tl os 2 (?) 0fl,npl+ OBft = (:) (z narks) -? ->9 OR BYl = OA -OB = (4)-( ?) = (-:) tu)0ffi :kffi = h?9=(-l) Fqorw AfppU frLSO I rnnrV,) tb) &= 6 FRom sfttrPH tmark) oR i =fB.-&=(?) r(?)=(Z) (tl dl L+ ztw = (l i) * ,(; i)=(i t) -(-j il= (, il a rnnrkg [lil L/^= (a:J== i): I,{x o= r 3x3zQ G () (; . (-i ,:) 2x2 =4 (nrnwkl tn-,=-t lx3=7 o ,lx:: g PTo
10. 10. O Al Dlf,Lrmlwf o( & = vxt -2Xt 4 -2=Z ndp*t040:(, -2 4) :, 6 t t (r : 2 [-t -Z Q rvrnrhs) ,+Iu. fnwvse op o q) tiit (l i) ( {) =(f) t ff) =(:,;:#)tt) a a I lr-2 Zt-r q )({) t /,xs :! rl :-t -i:: :^8 t(,) t.{ ns z12 = (l ) : x =l g :/ 6 rrrarks) Tornt 15 tuInptrs