1. {anuarrl 2ol2
Oueslion 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,Wi'o /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. {anuor,1 2atz
0,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. {Ta be atlachad in ihe booklet wlth your othcr &nsw*r$}
Candidate *eglslratlon Number: Qupstlon Number: 6_

4. {nnuaru 2ot2
d
0ussh,M 7
l-leiohl I/tid- PofnL freqnww
',8-
(q) l-l 5,5
l-20 15,5 25
2t -?o zs'5 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 5'5: qq
25xls,s = 387,5
23x25'5 =586'5
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. FORM TP 2012017
qb,, TEST CODE OI234O2O
JANUARY 2012
CARIBBEAN EXAMINAIIONS COUNCIL
SECONDARY EDUCATION CERTIFICATE
EXAMINATION
MATHEMATICS
Paper 02 - General Proficiency
Answer 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 BOOKLET
n r aa ,nan /r a III I a D//n ant a

6. 0urestion 1 Janro? 2otz
fql 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. Cl Al Def,vrntywf of & : VXI ^2Xt
4 -2 = Z
,+dfo'rtol 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. Tnnr,ta,X /:gtz
Oue'sh'on lo. 0r ti)
nOg : 26o.6 = 6o' Q nark)
(ii)
ryxsin 6f= rc.s2su,,r
Z (o',w o0 o'ne tn:wrgD
lo,szs x 6 fu'WW = 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|p'ur* F11r*) Qnarks)
(4 Lan & =!L
nry
=g
,: &=hn-, (#) = 2T,8su
t'l{ r
= 23" ( z
siXnih' wn! ffguru)
r#H*(s

9. {anul,nl Zotz
Queshorr 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. O Al D'lf,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