(1) The document contains a multi-part mathematics question involving algebra, geometry, and trigonometry. (2) Key steps include solving equations for variables like x and y, finding angles and lengths in geometric figures, and using trigonometric functions like sine and cosine. (3) The question evaluates skills like simplifying expressions, solving systems of equations, relating geometric properties, and applying trigonometric identities.

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$wers}
Sandid*la R*gislrati*n Nurnbcr: 0uestion Number: 7b
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E
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q
o
€
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7. TEST CODE OI234O2O
FORM TP 2011092 %.
CARIBBEAN EXAMINATIONI-
MAY/JUNE 2O1I
COUNCIL
SECONDARY EDUCATION CERI IFICA'ilE
EXAMINATION
MATHEMATICS
Paper 02 - General proficiency
Answer Sheet for Question 8 Candidate Number
(a)
/ /
G*) (b) (i) __rtG = 24 S.lrcks (t mqrk)
(ii) '/ x7 - 6 = 22 t lncVs ( Iynork
(c)
No. of Sticks Rule Connecting No. of Thumb Tacks
s tands t
4
'.(+ "t 4
8 r"(f "a) 7
t2 r*(f "r) l0
(i) 52 r + (tr xsa)
1o (2 nr,,ktl
5S -l = 5t{
5q +h (ii) 12 t+&!?
=lZ 55
Qnorks)
(d) t= I+(ztoxs) - CwrlA
ATTA.H THrs ANswER To youR ANswER B''KLET fimt n M$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