5 marks scheme for add maths paper 1 trial spm
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Transcript of 5 marks scheme for add maths paper 1 trial spm
MARKS SCHEME FOR ADD MATHS PAPER 1 TRIAL SPM (SBP) 2010
No. Penyelesaian Sub-markah
Markah penuh
1 (a) 3 1 2
(b) -1 1
2 (a)
163 2 +− xx
2)1(3 2 −−x
2 B1
4
(b) 3
4,1
xxx =++− 3163 2
2 B1
3 (a)
33
1
4
(b)
2,0 −
xxx =+ 52 2
2 B1
4
8,8 >−< pp
0)16)(1(4)( 2 <−p
0162 =++ pxx
3 B2 B1
3
5 (a)
21
1
2
(b)
21
=x
1
6 41,8 −=−= handk
28 =−= hkork
8)2(2 2 −+x
3 B2 B1
3
OR
418 −=−= handk
08284 22 =−= khorhk
kkhhkxx +++ 222 242
3 B2 B1
7
4195.0
2.342 =x
414142 =
+x
3 B2 B1
3
8
pr 826 −+
mmm
m m
m
m
m
m
mlog
3log4loglog
log5log3
−+
21log
81log125log81logloglog125log
)(log
3log4
loglog
log5log3
=
+−+
m
orormorm
orbaseanym
orm
morm
m
3 B2 B1
3
9 (a)
12=h
)1(4)62(1 +−−=−−+ hhhh
2 B1
3
(b) -5 1
10
5.85
5.2=r
375.96.0 3 =r
3 B2 B1
3
11 (a)
0.75 or 43
25681
6427
169
321 === TorTorT or any relevant
terms
2 B1
4
(b)
2.25
431
169
−
2 B1
12 (a)
2.44
5.555.302 =+x or 5.12=radius
2 B1
4
(b)
190.625
)44.2()5.12(21 2
2 B1
13 (a)
25
−=m
)6()125(~~~~jimji +=− λ
2 B1
3
(b)
13
125~~ji−
Magnitude = 13
2 B1
14 (a)
~~126 ab+−
→→+ PQSP
2 B1
4
(b)
~~28 ba+
+−=
→
~~612
31 baQS
2 B1
15
m = -6 and n = 6 m = -6 or n = 6
66
610
161202
mand
n
+×=
=−−
66
610
161202
mor
n
+×=
=−−
4 B3 B2 B1
4
16 (a)
5)7(3)1(2
5)(3)4(28
523,
332
+=
+=
==
t
andr
tr
5)7(3)1(2
5)(3)4(28
+=
+=
t
orr
3 B2 B1
3
17
0coscossin230)2sin3(cos2
9081.4119.138
270,90,81.41
0
0
0
000
=−×=−
xxxxx
and
and
4 B3 B2 B1
4
18
22
22
)3(6)35)(3(6
+
++
xxxx
2 B1
2
19
3)1(41
−=+−=
hh
2 B1
2
20
mmx
mmm
m
3)5(22
31022
2532
5
1
2
−=−
−=−−
=
3 B2 B1
3
21
5426
5.3753.41
====
FGLK
1 1 1 1
4
22 (a) 792 1
3 (b)
131 264160
CCC ××
2 B1
23 (a) 720 1
3 (b)
260 6! × 13P
2 B1
24 (a)
555 )85.0()15.0(10
008491.0××C
2 B1
4
(b)
0.8202 P(X=0)+P(X=1)+P(X=2)
2 B1
25 (a) 0.0571
1
3
(b)
81.84
58.12
85=
− µ
2 B1
TOTAL MARKS/JUMLAH MARKAH 80
END OF MARKS SCHEME