The
total
of
the marks
for
this pap
er
is 100.
Setter:
Poh Eng Hua, Terence
This
paper
consists
of
13
printed
pages
, INCLUDING
the
covor
page.
CCHY End
of
Year Examination {2011)
Seconda<y 2
Mathematics
pglofl4
I.
(a) Factorise
fully
2x
2
y+
8~+12y
+
3.xy
2
.
(a)
(b)
(b)s
I
I
1
.
11
.
.
3x
 1
1
x+2
o vc
t
1c
o owmg
equahon


= ·
~
.
4
5
2x(xy
+
4)
+
3y(4
+
xy)
(2x+yXxy+4)
3x1
4
x+2
=

4
5
15x

25
=
4x
+
8
11x=
33
x=3
(Ml]
[Al]
[
MI]
[Ml]
[AI]
Answer: (a)
....................
..
.........................
L3
J
(b)
...............................................
(31
2.
An actual length
of
Skm road is represented
by
a length
of
20cm
on
a map.
(a) Find the scale
of
map in the
fom1
of
I :
n.
(b) Given a circular garden
of
area 2.5
km
2
is
represented
on
th
e rnup, find the radius
nfthe
garden
on
the
map.
(a)
20c.m :5km
20:500000
(MIJ
1
:2
5000
(Al l
(b)
1
:
0.25/an

length
1cm
2
:
0.0625krn
2

Arca
(Ml]
Arca
on
map =
2
·
5
=
40crn
2
0.0625
[Ml]
nr
2
=
40
r
=
3.57(3sf)
[Al]
CCHY End
of
Year Examination (201 1)
Sec.ond;iry 2
Math
ema
ti
cs
pg2ofl4
3.
A fair
coin
is first tossed followed
by
a
throw
or
a
fair
6sided
dice
and
th
e
outcomvs
01.;
noted.
(
a)
In
th
e ans
wer
spa
ce
bel
ow,
list
th
e
sa
mpl
e s
pa
ce
.
(b)
Hen
ce
,
fi
nd
th
e pr
obabi
lity
of
ge
tting
(i)
a
he
ad
fo
llo
wed
by
a
' I '.
(ii)
u
hC3d
follow
ed
by
an
ev
en
number.
(iii)
a
fac
tor
of
4
from
the
dic
e.
A
nswe
r:
3(
a)
sa
mple
sp
ace
=
{(
H ,1
),(
H.2
).(
H,3
).(
11.4
).(
H,5
),(
H.6
).(T.1)
.
(T
.2
),(T
.3 ),
(T.4
).
(T,
5
),(T,
6
)}
[21
1
2
(i)

IB
I)
iii) 
12
3
1
(ii) 

(Bl]
4
4.
TI1
e
dat
a ·
below
repr
ese
nt
the
distan
ce
in
km
t
rav
e
ll
ed by
20
peop
le
from
home '"
their
workpla
ce
.
1 I
3
5
II
9
16
35
5
43
31
16
35
23
II
27
23
21
15
(
a)
In
the
ans
wer
spac
e b
elow,
complete
the
stem

andleaf
di
ag
ram
.
(b)
Find
the
median
dista
nce
travell
ed
.
12
24
(c)
Find the p
roba
bi
lity t
hat
a pers
on
sele
cted
from t
he
su
rvey
will take less tha
11
• ; n
to
travel to their workplace.
Answ
er:
6(a
)
*R2
fo
r
co
rr
ec
t
en
t
ries
in st
em
an
d lea
f.
ll 1
for
4
co
rr
ect entri
es
and
above.
*B
1
for
includin
g
co
rrect
ke
y.
(b)
I
6km
(BI)
16
(c
)P
(a
dul
ts
travel <
30
km
) 

[
Bl
J
20
CCHY End
of
Year Examinati
on
(2011}
S
tem
Leaf
0
3 5 5 9
1112
5()6
2
3 3 4 7
3
5
5
4
3
0
r
re
pr
ese
n
ts
03
km
4
5
[B
l]
Seconda
ry
2 Mathemalics
P.
:}
3
or
14
(3
1
5. (a) 5 men take 12 day~ to build 11 6km long road. Ass uming every man works at the same rate and lhc width of the roads arc the same. I low many men arc required to bui Id a 21 km long road in I & <lays'?
(b) Given that
xis
inversely proportional
to
the positive value
of
/2.y
1
and
x
=
5
when
y
•
5.
Find the
equation connecting
x
and
y.
a)
5mcn
21
x
6
17.Smcn
3
+
2
2
11

men
3
<:<
12
men
[A
11
k
b)
x =
I
"2y
 1
k
5=
,lg
k=15
15
x
=€

J2y
 1
12days
12days
3
x
2
18days
[BI)
IAI]
CCHY
E
nd
of Y
ea
r
Examination
(2011)
6km
21
x
6
21km
[Ml]
12km 
[Ml)
Secondary 2 Mathematics
pg4
of
14
6
()E
.
I~
.
. .
.
Ii
4
3
.
a
xpress
as
a smg e
1ra
c11on
11
1
at
s
snnp
lc
st
onn




.
2x+1
x  5
(b) M
ake
x
the subject
of
the
formula
in
:
3.
=
,/cb.
y
x
4(
x 
5)
3(2
x+1)
a)


(2x +
1X
x5)
(2x+ 1
Xx
5)
[Ml
]
4x
2
06x
 3
=
(2x+
1
Xx5)
 2x 
23
 (2
x+
1X
x
5
)
[
i\2
j 
I mark for.
each
er
ror
term
2
ic=
h.
b)=
1
~
y
'
x
4
c  h
x
4x(c
 b)y
2
(c
 b
)y
2
x::o:

4
CCHY End
of
Year Examination (2011)
IM
I]
[Ml]
IAIJ
Secondary
2 Mathematics
pg 5
oll4
7.
Oiagram helow shows a right angled triangle
ABC
with
/lC
=
20cm,
BC
~
I 2cm,
DE
=
4crn.
You've reached the end of your free preview.
Want to read all 477 pages?
 Winter '14
 Orders of magnitude, ... ..., k al