1. This document is a marking scheme for Additional Mathematics paper 1 containing solutions and marks for various questions. 2. It provides the correct solutions, working and marks awarded for 16 questions ranging from simple calculations to complex problem solving. 3. The marking scheme acts as a guide for examiners to consistently and fairly award marks for student responses based on the level of accuracy and working shown.

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Skcm.i f•.'mar"Jh.m ini t1h.:ng~111dungi 11 h.:il:imau hcrc~1:1k
t[,--.-=----S-"1-ut_,""an<I I.~~ ~d 1e111e ~~~:;~,
1 1 (al ici) I.r d () IPl
I
1
1. n;-~-3<, IKl(It) - - ~
L1, ..) ,
1
:::.:::::~,, I:·:I '"' a ' ; J 'x(l 5)'~ 20:s l Pl
~--:'"~ 1(,J-1 0- 1•--(l -,f)' -----·- -·--- - - L -
I 1h ,,-o-qi· r1
I -(J-q,·+(1- ,f) = 0 "'
, ,I ;~=~
I{ii) Nilai maksimum • 1
I
•----~~l /Ix) I -(x I !(
Ill
j {bolh)
INI
I
I
[ ___L:_

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3 7.ry =28 atau setara Pl
(1x)1x+2y+ ,r T =26 Kl
(1x1 .1
.
,r ~ I d1 1hat K 1
..- "
:{;)+18x=26
Kl
I Kl
(9x -4)(x-1)=0
Kl
x =I. y = 4
NI.NI
4 (2sin x kos x) kos x - sin x Kl
=
(a) Sin x
=kos2x NI
(b)
.~~?st:
Grof
I
ko~2,
Pl
Modulus
Pl
Jul:11
0 :S: .' :o:;,T
Pl
Garis
4 2 4 lurus ll
Hil l'cn}
M1.-n1pcrulch pcrsamaan y = f atau SClara.
NI
Kl
5 (a)
(i)
....
MN= 5'[ - 2f.!
(ii) ....
0 8=8!.! + 101
I (b) .... ....
OL = ON-h(51-2f.!)
= 2hf.!+5(1 - h)?
-) ....
7 Ol=OB - k(8l.!+ 1°?)
= (8 - 8k)l.!+(10- IOk)~
k=~ ,lan h =~
6 J
8
Kl
NI
NI
Kl (Cari
kcdua..du..;,01.J
NI (Kcdua-
diuOl.1
Kl
fn~Q.)'11fflal.:..an
pckilli cbn
w:111..i pers.
iCrentA )
NI NI

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{ 6 (a) 4(7-.r) + 4(2x) +4y =56
x+y=7
(h) (i) V= (7-.r) + (2.r)(y)atau V =(7 -.r)+(2.r)( 7-.r)
7
V =2:cl -28x1+98.x
(ii) dV = 6<'- 56x+98 a1:1u6x' - 56.r+98 = 0
,lie
(o)
(b)
(c)
(<()
x=2 atau x= 7
3
. . 14
P:mjang == Lcbar = Tmgg1= 3
I
5(1)@7(1)
2+2+511) Iii' 7(1)
16
~(5)' (1)- ~(3)' (1) @ ~(1)'(1J+s)' (1)
-i-<5)' (1)+3)' (1) .!.p)'(1J-.!.(5)' (1J
2 2
2 : l
57.2884. @ 61.3558°
AB 10
sin57.2884. =sin61.355s"
AB ~ 9.5875
f,;J
NI
Kl
NI
Kl
NI
NI
Pl
Kl
K l
NI
Kl
Kl
NI
Kl
Kl
NI
8(a) dy -2
-;i;= (2(1)-1)' Kl
k-4 =.!.
I-/, 2 Kl
h=-2k +9 NI
(h)
.!.(k+4)(h-1) Kl
2
.!.(k+4)(-2k+8) • 4 = 3
Kl
2
k =3 NI
(c)
h = 3
Pl
[(2x-lr'J Kl,T - - -
-24 I
g"[((2(3;-1)' )-((2(1;-1)' )]
Kl
31 NI
- "750 10
10

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/
9 (>) (i) 4.6 = !Op Kl
p=0.46
NI
(ii) P(x;,, 2) = I- "C,(0.46)
0
(05 4)
10
- "C,(0.46)
1
(0.54)' Kl
0.9799
NJ
(b) (i)
Ml
~ Pl
. NJ
254 X
A NJ
•
Kl
0 z
h=~ Nl
2
(ii)
( '50- '54)P(.r < 250) = P =< =--,----=--__2
Kl
= 0.0345 ll)m •2@1 <•3 Kl
3.45 %
NI JO y=l+~ Nl
•
Kl
JO IRujuk lompiran JO
k=6 Nl

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11 (a)
titik lengah AC= (4.5) @ m, = -%
Ki
12 (a)
:: x 100 = 120
9 Kl
x=RMI0.80
NI
2y=-3.t+22 NI (b) / x llO=I OO Kl
(b) B(0,11) Pl 170
I= 154.55
x + O = 4 & ~ = 5
2 2 Kl ~ x lOO= 154.55 Kl
y
D(8.-1) NI y=l.94 NI 10
(c) I Kl
21(11 -1 +24)-(11+s6- 1JI
NI
52
(c)
I20x 2+ .£x IOO x3+ 154.55 + _!_ x100x4
KIKI
(ii
3.5 2.40 11 2
10 NI
z = 1.27
(d) y - 3 @ !!:_I_ Kl
x-1 x-8 I.SQ X IOQ: 112 Kl
(ii) X
NI
(y-3)(!!:_I_)=- I
Kl
x-1 :c-8
x= 1.34
x' + y' -9x-2y +5 =0 NI 10
13
11 I

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y
x+ y ~ 50
JI. yS lr
Ill. xS40
R•fcr to th• graph.
I graph correct r.:;y--'@
3 graphs com.'Ct ~
Corrcctan.'3 ~
(ii) ma.,point (40 .120) a
k=3.r+4y
Kma.< = 3(40) + 4(120)
14 (a)
v=/ 2 _!,-s
3
v=(O)' - ~ (0) - 5= - 5
(b) 3
(<-)
I1, _l_t' - 51= o
3 3
(I +3Xl - 5) = 0
1=5
a=21 -~
3
=2(5)-~=~
3 3
(d)
'
I
=[~+-~I/·ff+-5
II
r(J' 2 • J Jr(6' 2 ) (3' 2 ) ]=i1 3 - 3(3)-5(,) -0 +ll 3 - 3(6)-5(6) - 3-3(3)-5(3)
=42
10
Kl
Kl
KlNl
Kl
Kl
Nl
Kl .Kl
Nl
10

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15 (a) (i) 8=180-57-35=88 Pl I
AC= 6sin88
sin 35 Kl
= 10.454 NI
(ii)
KosD=
5' + 122
-10.454'
2(5)(12) Kl
D=60.15
NI
(iii)
Luas =_I_ x 5x 12sin 60.15+{x 10.454 x6sin 57
2 -
KIKl
=78.625 NI
10
(b) (i) C
NI
0
A
(ii) 180- 60.15 =119.85
NI
SKIMA PEMARKAHANTAMAT
II

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M1tema1ik
Tamb.ihan
Kcrt11s I
2 jlm
Ogos2017
3H2/I
e
JABATAN PENDIDIKAN NEGERI KELANTAN
l'F.l'ERIKSAAN PERCIJDAAN SPM 2017
ADDITIOi-.AI. MATIIF.MATICS
Paper I
MARKING SCHEME
Skcma Pcmarkahan ini mcngandungi 6 h3l3man b..:rcctak
SULIT
No. Solution and fvlJrk Scheme
l(o) 3
(h) !A J)-:;: ')..
2(a) r=- '
(b) IV 18
3(a) I
(h) -210
Bl: T[2(- 3)+9(-4)]
OR
~[2(17) +14(-4)] or ~[2(17)+4(-4)]
2 -
4(a) I
2,1,2
(h) 4
2
Bl :
1--'-
2
s x =8
8 1:.<+1=3'
6 2 I
-+-
p 2q
BZ: 21og.x+log~y
log., 4 Jog., 4
0 1: log,x1
+1og1 y
7 x= - 2
ll2 . 6x+9= -3x - 9
: 2"'!••ht1 I
Bl or 21,
J~7:UI '!) !01 1 llak n,,,a.I/I'S/ Kdam.m
3-172/1
Sub Toul
Mark,; M:1rks
I 2
I
I 2
I
I 3
2
I 3
2
2 2
-3
3 3
SULIT

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SULIT 3472/1
I 8 p=I and log, q = 4
I
3 3
82 :p=I or log,q=4
Bl : log, y=2plog,x-log, q
9(a) fos{90-a) =I I 4
(h)(1)
SULIT 3472/1
14(a) 10 I 4
(bl x = I I 3
B2 : 2(x-1) = 7(2)+6
Ill : 2(x-1} 0( 7(2)+6
15 y =-(x-1)'-2 3 3
m• 2::mdk = I 2
DI : m=2 or k ml
(i,) O<k <2 I
ll2 : - J=a(0-1)
1
-2
DI :y=a(x-1)' - 2
IO(u) I rJd I 4
16 I 2 2
p = -
1- q
(h)
75-m 3
81 : (2)' -41'(-q+l) =O
ll2: .!.(12)
1
(l)-(m-3)
2
DI : -i-(12)' (1)
17(a) / =6 1 4
Ill :.r(.r - 6) =0 or 2r(.r-6l=0
l l(o) 18 2 4 (b)(1) f(x)>O
DI : ';'.'.1(n+9) (ii)
(h)
p ~ 2 2 /(.,)
DI : s(-2)(3x-4r' Pl
12 m='1 3 3
ll2 : 7(3)-7(m-1) = 14
Bl : 7.,
Y-·IJ(a)
! 'M =~
I 3
2
(bl
I I 2
1
3
I
2
s
J
3
7 4
Il l : 1.2.3.4 /
J.472JI ~ WI 7 1/u! ( 'ipta IPS.11 J.:..tum,111 SULIT JJ7?/I J' :?0 17 //u! n,.,u ,I/I'S/ li:,·I""'""

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8 1 : 2= -12x4
or D.r =-0.02 or t...-quivah:nt
,l<
21(u) 0.3383
81 : 4.5-4
1.2
(b) 15465 biji
81 :
5000
= 0.3233 or C<luivalent
II
3.&72/1tJ :?017 /Jolt. C1f>W .IPSf KdwrMI
347111
SULIT
6
SULIT 3472/1
22(a) 0 I 3
(hXi)
5
21
or 0.2381
I
(ii) Saling F.ksklusif
I
23 33 4 4
- or 16.5
2
U l l )' 583 : 6 - 2 =2
82 : 21
xu;..., =10 orcquiVilk"lll
Bl : 2(X•.,)+3=4 orcquival!nt
24(0) 60 2 4
BI : '<. x)any number or Ian>numberIx ~c1 orcquival.:nt
(b)
8 car::i
2
81 : 4xlx l
OR
(HMM. IIMM. PMM.OMM. 81111. PIIH. Ol lll. Mlll·lf- Al least 4 com..-ct .
25(a) y=2 I 3
(b) Cicak yong bcrado di Q dan 13.42 2
Bl : ~(14-2)' +(2-8)' or .'quivalcnt
J..&7?J11ii; 2017 lluk.Ctpltl J/•su Kdrmta11
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