1. lfro1 l{une }otl
guestion l-{ :
[q; il) 5- 2x
-Zrc
-2x 14
X 7L a
L
(?
x 7-7 vnork")
(i)
-3 -Z -r o
If * is 0M inleger , h, srna llesl ttqlwY ,f L
l4tl,t sntrs6irs lw ineXunhfu is - I [l nrnrk)
(D ti) ft,tq of syw = LxL (leAlh)
a) :.
LxL = et
/-= Nd = IIW
(b) fun'*,fun rC svarc=4xL=exr(=44crn Qrrrarr,!
trrl / .: zTf = H4c'tu (c;rumpnncr)
V ,=H =ft=Ll+
7
ry=7cn
0) il'eq TTt' = zlxT (4
ff cirs[B = x1 = ti4 gnnz nnark.;
llat lo rwrk

2. l,lloV lfn* 20tt
&t,tesl $n 5:
Q) 0) K,Vhv scn le f nctur = t-= 9=/
NIA 8 (mark)
N
[ii) fiigH- aqgted ln't,tpqle, ,
und nwt lhe
l*U{fi of +ti lh;,[ sdz {/P Pvfhtgu^ftr**
lonyal 3id0' = Swrrt op sqynn of Wu oW ]ws sr'des
0lA^ = 6"+8=
= s( +6Ll
= 100
': 0/'A = ltT00 : l0 C'rn Lmar*)
0rr) -tcale
Pffi, tr Z
= 2o cxn Q- marltg)
0) Use Sirre
0pfuslle Sin rso = 9-
H
Srrr 15 =$
u.*' Q?, ahypouls'* &S = D.6 x Sin 15 : 3'26^
(3 srgnipcnad
s R figuar) @,rro,rk$
{/Se Cosine Cos O=9
n
-: CoS d=W
8,4
Q=cos-'(#) = 67o Pmatkt;
(tto {tw arca, o( = 67,2o
ApeR
(zsEn,pu^t
6rpung
P,T,O

3. ,8rqhS'*r5
Hrea ,S hiorXlu = 12,6 x K'4 r Sin (ts+[t) onqle W)" W [u,
2
Ll r Siyr
= 12-6 XS t4?,L
z
u' la
= 32,5S- rn- [3 rnarks)
ut.
= 32,6' G s;gnrp*+
FJ** ) 4olat 12 rnorks

4. illoy I fune zott
Oueshon 6:
(at g(, = tz:L = _g
-3 =
_?z
= -e7 :3-r
3 -{ '2'
=-zbxt= -i @narks)
(,1 3tO,t = 6r*s) -Z
=6t+F-z-6*
z32 =@ = Zft+t) Qmwkr)
(rrr)f-'Cro= rg+ Qrnark)
(:>
b ol A(-z,g B(u,O gmorks)
0rl gmdrsd .
Fr=+?h (zmwks)
Ll aris)
[rrr) tlirfunua+ Uh(, point uth,wu W l;rte utk ke
is4
,'-
uvl
t1
,./
gnd'*t 'u-ifuuat'
.'. V= A mnrks)
Ix+tl
rs fu
?4mliu ry |,ru line
PqssrnJ l{,uruirg A a^$ B
{of/ 12 rrtnrks

5. illoU f {une 2otl
0uerbo' 7
0)
zflass Ckal Nn. oc Dnrknoo.< ]mtt Inli,,p {rp n u!'rr,
-to I2 v
t2
tt -20 2.9 10
2t -30 30 70
3t-40 22 q2
4t *so g t00
(c: (r) medl,an
fioss ol ll,ft yacknyes ? zs
(lr) 8O p,.: rlhe lpu Vru,o snk1 ft*. l.lu g*ph
". prolnbil,fu =
ffi= z

6. {Ta b* ettachqd in the boakl€t wlth your oth*r sn$wers}
Sandid*la R*gislrati*n Nurnbcr: 0uestion Number: 7b
%
E
s
q
o
€
,1,tss

7. TEST CODE OI234O2O
FORM TP 2011092 %.
CARIBBEAN EXAMINATIONI-
MAY/JUNE 2O1I
COUNCIL
SECONDARY EDUCATION CERI IFICA'ilE
EXAMINATION
MATHEMATICS
Paper 02 - General proficiency
Answer Sheet for Question 8 Candidate Number
(a)
/ /
G*) (b) (i) __rtG = 24 S.lrcks (t mqrk)
(ii) '/ x7 - 6 = 22 t lncVs ( Iynork
(c)
No. of Sticks Rule Connecting No. of Thumb Tacks
s tands t
4
'.(+ "t 4
8 r"(f "a) 7
t2 r*(f "r) l0
(i) 52 r + (tr xsa)
1o (2 nr,,ktl
5S -l = 5t{
5q +h (ii) 12 t+&!?
=lZ 55
Qnorks)
(d) t= I+(ztoxs) - CwrlA
ATTA.H THrs ANswER To youR ANswER B''KLET fimt n M$k
'HEET

8. frrne 2oll
Queshoy' q
tq,)
U = lc'^x +3
Y= 6 -3n
)cz_x+3 = 6 -sz-
X'-N+1L+3 - 6 =O
I-+ 2-x -3 =e
lx i ==:,
(z+z)(x-l)
. : 7+3=o :c - l=o
= ?
t =_3 Z=l
Whxt^ x = -3 V 6 -sGs)
u=
= 6+Q = 15
WhIk x: I
V=
6- 3(t) 5 rnarks)
=6-z =3
4x^- 8r - 2 0=4,b=8,C=^Z
[u h= L? -g =2^-t
-v
2a, 2xlt g- I
K= 4ac - h-
= 4xLr-2 -Ld = 12-61{.
4a /t x /6 =
/6
',W= 4(2--l)t-6
a(x+h)'+k Q naxks)
P T,O

9. 0rt IIu, mtfurwm vuW is -6 Q wrark;
Qrr; 4u Vulru 0d I W ,th,'f^ [,e) fs a, wftu'(wm rs 1 ( ruarl)
Gs ti) X = lL + 0'6 = 2o gConls Q [rarks)
0it Sni,/*L is o
(2nark')
spr/ u6 1fu ur^ 6* +l'' slape is t,*shn;
"
4lv,
[rii) 6o -ZE = 35
try
z = uoM d mnrk')
ftnt l5 lwwuts

10. Tutvg 2ott
l0'
Queslidn
@) tit xi z : ts - 64 = tt (oo
,
Ill?Ilb angles in a ctdic-quailn'1.nltrnl
tl
qdil uP u
Iso' (z vyrqrkt
0i) Y?z: 2g int..nrr opposile lu
ailgb wW Inrngub A,,wtu)
(ili) x6z:6qxz=t2go
t8o-l2g=52
,:0f,2=+=260 ftmarlt)
6) 0) sb + ut = tr,tt
,'.X=lg0^lN:76o Q rnarks)
0ir RP' = zlt + 3O& -2x220 x s6o x cos sL
= $IIp3.sq
'iRP=^ffi
6t z4q Kilornelhls b nwk")
Qin knnnq of ( Fnl"t P
rae" i u1EiLL RP0
Sin & - Sirrs6
36o
---
2qq
sino, ? W
2gq
{.360
,, '& = Sin"(Wlx 360) = sL,so
.: Bearcrg op ( nm,r P=lg2+66's = 218,5o G rnarkd
IML B TUilKKS

11. Tutvg 2ott
Queslidn l0'
Q) (it xi z = tt. - 64 = u (o,
1ll9l$ cngles in a c.udtc-quahn]n]tra,l
qdil uP 1'o I8o' v ( z
rnqrks)
z1.o
0r) Yiz:23 in&.nr opposile tu
Myb t"W lwgwb (t,wtu)
v
tili) x6z: xz = I2Ko
64
t8o-l2g=52
,: otz = s4 = 260 (3mark)
?
6) o) s6 + qs = t',lt
,,,X=lg0^lH:76o A rnarks)
0h RP' = zui + 3O& -zx22o x s6o x Cos sL
= $It{pT.gq
'iRP =tW,rq
#. ; zqq Kilo mefies b mwks)
QiDknyt;nqrf ( F,rrup =
rrz' i q11;Lt-,
RpQ
w
36o
_ Siyrs6
---
2qq
sin c- =W$60
2gq
= 56' so
.: Benn;ng ooc R f|.vr4 p C3 mqrks)
= lLZf E6,s = 218,5'
'r7TnL B rvtftKks

12. {une 2oll
0rcsbion II'
0.r Dt,h/nni ,,nnt, = 3x4- sxz
I2-10=Z
AJ,iorhf Wlix = (4 -s
t2 3) l
,'. +lu" inwrse
nral.n,r rs A
, (1, f) wurks)
)(i1
(t ,(I)=ei,;ii): (1i)
l/w R'= (Z)
,'. 2A=/ 2 Q=(
tb =-J e b=-l e na,rht)
(r'il lr is a
(:, I ) frohq.h'wt 0t-
27oo abowf
I
(3 markul
lln0n)Xin
u
G) d)6r WY=
-b+a ov- a-b
6l ffs : /zb- b)
-.€
crl* SYl/ + M/X
-V^(o-b) + q
Qab+a
33 = A-L *b
33
2a + L
3
3
lr(2q +b) (5 na,k)
PTO

13. c 0tt Fon R, S a,nil X t, Lx fullinean ( p^fting a [he same lthe)
6 ix must be wutllipler,
I
ahd,
Ks= *b + U(a_b)
: bnL-b- =b-b*L
23?233
= b +a"
63
= Ys(-ro) ar *)
'40r
-+
Rx
Ir
/2 bt q
:q + b/,
-
Ks t& +bb) anil Fx hrbrr)
bo{l hrw arf; .b W uxp. Collinu,
6 u*hr)
70Tfr1 ts lytt+'iKs