2. STILIT 50/1
MATIIE,MATICAL FORMULAE
RAMUS MATHEMATIK
The following formulae may be helpful in answering the questions. The symbols given are the ones
mmmonly used.
Rumus-rumus yang berikut boleh membantu anda menjawab soalan. Simbol-simbol yatrg diberi
adalah yang biasa digunakan.
RELATIOIYS
PERKAITAIV
1 affixafl=am+n
2 affi+afl:am-n
J (ut)' : alrul
Distance I Jarak : (xr-x,)'+ !t-!,)2
Midpoint I Titik Tengah
(x,y)=(r?,r?)
Average speed : distance travelled
time taken
Purata Laju : -iarak -r*ang dilalui
tnaso yang diambil
Mean sum of data
number of data
Min : hasil tambah nilai doto
bilangan data
Pyhagoras Theorem,l Teorem Pithagoras
c2:a2+b2
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3. SLi[,IT 3 50/r
SHAPE AND SPACE
BENT{IK DAN RUANG
I Area of rectangle : length x r,vidth
Lttas segiempat tepat : panjang x lebar
2 Area of triang r" : x base x height
I
I
Luas segitiga :, x tapak x tinggi
3 Area of parallelogram : base height
"
Luas segiempat selari : tapak x tinggi
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4 Area of trapezium : x sum of parallel sides , height
:
i
Lttes trapezium : x hasil tambah dya sisi selari x tinggi
,
5 Circumference of circle - ml : 2 m
Lilitan bulatan : td : 2xl
6 Area of circle : m2
Luas bulatan : ry'
7 Cun'ed surface area of cylinder : 2 tvh
Luas permukaan melengkttng silinder : 2 lTlt
8 Surface area of sphere - 4 /v2
Luas permukaan sfera : 4ftJ'
9 Volume of right prism : cross sectional area x length
Isipadu prisrna tegak : luas keratan rentas x panjang
10 Volume of cuboid : length x rvidth x height
Isipadu kuboid : panjang x lebar x tinggi
11 Volume of cylinder :tt2h
Isipadtt silinder - ItJ't
12 Volume of cone : | *,
_)
Isipadu kon : 1
id',
:
13 Volume of sphere
: *'
4
Isipadu tf"ro: 1ry'
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4. SULIT 4 50/1
I
14 Volume of right pyramid : a
X base area x height
J
Isipadu piramid tegak : xluas tapak x tinggi
i
15 Sum of interior angles of a poly,gon - (" - 2) x I80"
Hasil tambah sudut pedalaman poligon : (n - 2) x I80o
16 Arc length
Circumference
Pan-ians lengkok : Sudut pusat
Lilitan Bulatan i60"
17 Area of sector * Angle subtended at centre
Area of circle 3600
Luas sektor : Sudut pusat
Luas Bulatan 360"
PA'
t8 Scale factor / Faktor skala, k : pA
19 Area of image : h2 x area of object
Luas imej : k2 x luas objek
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5. SULIT 50/1
Round off 5 055 to ttre 16:arest thousand.
Bundarkan 5 055 kepadg ribu yqng terdekat.
A 50s0
B s060
c s 100
D s000
Alex bought 3 cans of sa.ts vrhich u,eighed 240 grams each ernd 8 oranges which weighed 63
grams each. What is the total weight of goods that Alex had bought? State your answer in kilogram.
Alex membeli tiga tin oqf )'ang jisimnya 24A g setiap satu dan lapan biji limau yang jisimryta
639 sebtii.. Berapokah j4plah.iisim barang-barang yaltg telah dibbti oleh Alex?
Nyatakan jawepan dalqa kilogram.
A 4.720
B 0.50.1
c 1.224
t) t2.24
The weight of three pupils are obtained. The weight of Nueen is fZ
. 7 _4
] nS. Shaheen is heavier than
Nureen by kg. Sy'ahrq1 is heavier than Nween Uv 3 kg. Find the total rneight of the pupils
J q
Berat bagi tiga orang rhurid telah diambil. Berat Nureen ialah tZtS Shaheen adalah tebih
berat dari Nureen sebaayak t
l kg Syahmi adalah lebih berat dari Nureen sebany,ak , nf
Cari -iumlah berat muri4-rrcurid tersebut.
I
A 18:kq.
9g'
d.
B 20, ks.
4
C 30, kU.
7
D 42
rke.
Diagram 4 shows part of 2 number [ine.
Rajah 4 menunjukkan ssfiohagian daripada suatu garis nombor.
0
Diagram 4
Rajah 4
What is the value of M and of N ?
Apakah nilai M dan nil qi LI ?
A M:-12, N:12
B M--72, N=9
C M_-12, N=-9
D M- 12, N=9
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6. SULN'
50/1
480 marbles are shared among Aishah, Adam and Amar. Aishah gets J
+
4
marbles. Adam gets
5
of the remainder and Amar gets the rest of it" How many marbles that Amar gets?
180 biji guti rtikongsi bersama Aishah, ,4dam tJan Antar, Aishah nenrtapat biji guli.
1 I
Adam *rrdopot I daripada baki dan Anrur mendapat selebihnyo. Berapakah bilangan guli
)
yang diperolehi oleh Amar?
A 120
B
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144
c 216
D 360
If 8 is a multiple of tluee
numbers, rvhat are those numbers?
Jika 8 adalah gandaan bagi 3 nombor, apakah nontbor rersebut?
A l,),4
B ),3. 4
c 3,4,9
D 4,5.9
A bus travelled from Kangar to Muar. The joumel, took 8 hours and 25 minutes. The bus reached
Muar at 7 .10 a.m. At what time (in 24 hours) did the bus leave Kangar?
Sebuah bas bertolak dari Kangar ke lluar. Perjalanan itu rnengambil ntaso 8 jam 25
minutes. Bas itu tiba di Muar pada 7.10 a.rn. l{l,atakan y,aktu (dalam masa 2l jam) bas
itu bertolak dari Kangar.
A 0915
B 1045
c 10ss
D 1145
Amir has 25 metres of rope. He cuts out 8 pieces from the ropes to put up the tent. If each
piece of rope is 2 m 40 cm long. find the iengrh. in m of the remaining rope.
Amir ada seutas tali sepanjang 25 meter. Dia mentotong 8 potongan daripada tali itu untuk
mendirikan khemah. Jika panjang setiap potongan itu ialah 2 m l0 cm.
Cari panjang dalam 'm tali l-ang tinggal.
A 5.0
B 5.2
c 5.6
D 5.8
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7. SULIT 7 50/1
9 In Diagratn 9, QRS and PQS are isosceles triangle and RST is a straight line.
Dalam Rajah 9, QRS dan PQS odalah segitiga sdma kaki dan RST adalah satu garis lurus.
P
s
Diagram 9
Rajah I
Find the value of x.
Cari nilai x.
A72
869
c57
D45
t0 In Diagram 10, P'Q'is the image of pe.
Dalam Rajah 10, P'Q' adalah imej bagi pe
Diagram 10
Rajah l0
Find the translation which transform s PQ to P'Q'.
Cari translasi PQ dijelmakan kepada P'Q'
A
r4)
[- o./
B
[;-)
r- u)
C
(4,,
D (- +)
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8. SULIT 50/l
11 Diagram 11 shows an inegular pentagon.
Rojah I I menunjukknn sebuah pentagon tidak sekata.
lt1" 120
Diagram I I
Rajah 1l
Find the value ofy.
Cari nilai y.
A90
B 100
c 110
Dl2a
12 In Diagram 12, JKLMN is a pentagon and LMP is a straight line.
Dalam Rajah 12, JKLMN ialah sebuah pentagon dan Ll[P ialah garis lurus.
Diagram 12
Rojah l2
Find the value of x + y .
Hitung nilai x + )' .
A 116"
B 206"
c 254"
D 296"
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9. SULI'f, 50/ r
13 ln Diagram 1 3, ABEF is a rectangle , BCE arrJ C.'DE is an equilateral triangle.
Dalam Raiah 13, ABEF iaiah segienryctt , BCE ctsn CDE ialah segitigct sa.ma sisi.
A 8cm B
Diagram 13
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Rajah I3
The perimeter olthe whole diagram is 36 cm.
Find the length in cm ofAF
Perimeter selttrtth rojah ialah 36 cm.
Cari panjang dalam cm hagi AF.
A 3
B 4
C 5
D 6
14 In Diagram 14, PQS and QRS are right-angled triangles.
Dalam Rajah 14, POS den QRS adulah segitiga bersudut tegak.
o
l2 crn
Diagram 14
Rajah l4
Find the perimeter, in crn, of the whole diagram.
Cari perirueter, dalam un, selunth rajah itu.
A46
853
c61
D 114
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10. SLLIT 10 5011
15 In the Diagrarn 15, /,ABC
- 90o , Given that the area of triangleABC is I 5cm2
Dalam Rajah 15, ZABC:90. . Diberi luas segitiga ABC adaloh l5cm2.
Scrn
A
Diagram 15
Rajah l5
B 5cr-r-r
Calcuiate the total areaof the diagram in cm2.
Hitungkan jumlah luas rajah dalam cm'.
A29
830
c32
D39
l6 Whicir ofthe follou'ing is the net of a pyramid'/
Yang mana satukah adalah bentangan uniuk piramid ?
A C
ry
A'
B D
trsE
t7 Diagram I 7 shows a cylindrical container of diam eter 2A crn. Given that the height of the water
levei is 15 cm. find the volune of the nater in the container, in cm3.
Rajah 17 menunjukkan sebuah bekas selinder derigan diameter 20 cm. Diberi bahatva
ketinggian air adalah I5 cm, hitungkan isipadu air dalam bekas itu, dalam cm3 .
l5crn
DiaEam 17
2Ocm Raiah I7
A I000a
B 1200 n
C 1400 tr
D 1500 tr
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11. SULIT 11 SAt t
l8 The taxi fare is RM3.00 for the first kilometre and 50 sen for every additionalkilometre. Calculate the
total fare for ajourney of 18 km.
Thmbang tel<si ialah RM3.00 untuk kilometer yang pertant dan 50 sen untuk setiap kilometer
tambahan. Kirakan jumlah tambang untuk satu perjalanan sejauh lg km.
A RM10.50
B RM11.50
c RM12.50
D RM13.50
t9 Diagram 19 shows E is the intersection ofthe straight lines AC arfi, BD.Lne AC isper,oendicular to line
BD.
Raieh 19 menunjukkan E iclah persilangan antara garis lurus AC dan BD. Garis ,4C adalah
bersereriang dengan garis BD.
Diagram 19
Rajah 19
Find the value ofy.
Cari nilai bagi y.
A 35"
B 45,
c 550
D 75.
2A Diagram 20 shorvs a circle PQRS. PST are straight lines. Calculate the value of x.
Raiah 20 menunjukkan sebuah bulatan PQRS. PST adalah garis lurus. Cari nilai x.
Diagram 20
Rajah 20
A 75"
B 80'
C 115"
D 1 35"
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12. SULIT l2 s0i 1
2l ln Diagram , POR is the diameter of circle PQR.
21
Dalam Rajah 21, POR ialah diameter bagi bulatan PQR.
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Diagram 21
Rajalt 21
Given that PQ : QR and PR : 28cm, calculate the area, in crn2, of the shaded region.
Diberi PQ: QR dan PR:28 cm, hitungkan luas, dalam on2, kat+)asan berlorek.
22
IUse/Gunazr: 7)
A 196 crn2
B 420 cmz
C 616 cm2
D 812 cm2
22 In Diagrarn 22, O is the centre of tu,o circles.
Dalam Rajah 22, O ialah pusat bagi riua bulatan.
Diagratn 22
Rajah 22
Given that OA:8cm and OB : 6 cm. Find the area of the shaded region, in cm'
Diberi OA: B cm dan OB : 6 on. Cari luas kawasart berlorek, dalant cnt2.
22
[Use / Guna zr _ _1
lJ
A41
B 55
c66
D88
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13. SULIT l3 50/1
23 Diagram 23 shows the centre of the circle O and ABCD is a cyclic quadrilateral"
Rajah 23 menunjukkan pttsat bulatan O dan ABCD ialah sebuah sisi empat kitaran.
Diagrarn 23
Rajah 2 3
Caiculate the value of p + q.
Hitungkan nilai bagi p + q
A ttz,
B 129"
c 172"
D 180"
24 Diagram 24 shows a triangle PRS. POR is a straight line.
Rajah 24 menunjukkan sebuah segitiga PRS POR ialah garis lurus.
,/
Diagam 24
Rdjah 24
of PS in cm.
Calculate the length
Hitung panjang PS dalam cm.
A9
B 16
c20
D2s
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14. SULIT t4 s0/1
25 Diagram 25 shows line PQ parallel to line RS and MN is a staight line.
Rajah 25 menunjukkan garis PQ selari dengan garis RS dan MN ialah garis lurus.
Diagram 25
Rajah 25
Find the value of v.
Cari nilai bagi y.
A t12"
B 104"
c 360
D 220
26 Giventhat6(V- 2)-10:8, find the value of y.
Diberi bahawa 6 (y-2)-10 : 8, cqri nilai bagi y
A -5
B -3
C3
D5
27 In Diagnm 27, W and ST are straight iines.
Dalam Rajah 27, LrV dan ST ialah garis lurus.
U
Dtagrarn 27
Raiah 27
Calculate the value of .y.
Hitung nilai bagi y.
A 18"
B 20"
c 22,
D 24,
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15. SLILIT 15 50/1
28 in Diagram 28, BD is drawn on the Cartesian plane and M is the mid points of BD.
Dalam Rajah 28, BD dilukis pada satah Cartesiun dan M adaluh titik tengah BD.
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Diagram 28
Rajah 28
Find the midpoints M.
Carikan titik tengah Iv{.
A (-2,4)
B (-3,4)
c (4,-2)
D (4,-3)
29 In Diagram 29, PSTU is a parallelogram and PQRS 15 a Square. Given V is the midpoint oi PU.
Dalam Rajah 29, PSTU ialah sebuoh segiempat selari dan PQRS ialah sebuah segiempat
sama. Diberi V ialah titik tengah PU.
T 6cm S
Diagrarrr 29
Rajah 29
Find the area, in cm2, of the whole diagram.
Cari luas, dalam cm2, seluruh rajah.
A29
837
c49
D62
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16. SULIT t6 50/1
30 Diagram 30 shows a circle with centre O.
Rajoh 30 menunjukkan sebuah bulatan berpusat O.
Diagram 30
Rajah 30
Find the value of x. (Use n:*)
I
22
Cari nilai bagi x. ( Gunakan o =
T)
A 45
B 90
C 100
D 105
31 GiventhatK:L:5:6 and L:M : 18 : 21, find the ratio of K:L: N4.
Diberi bahmua K : L: 5 :6 danL: M: 18 :21, cari nisbalt K:L :M.
A 5 6:7
B 5 6:21
C 5 18:21
D 5 18 :21
32 A sum of RM 440 is divided between Yusni and Julia in a ratio of 4 : 7.
What is the sum of money received by Yusni.
Sejumlah wang RM 440 dibahagi antara Yusni dan Julia dalam nisbah 4 ; 7.
Berapakah jumlah wang yong diterima oleh Yusni.
A 120
B 160
c 220
D 280
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17. STILIT t7 54fi
33 In Diagram 33, the bar chart shows the number of co curiculum activities in SMK Raja Perempuan.
The difference between the highest number and the lowest is 12.
Dalam Rajah 33, carta palang menunjukkan aktiviti kokurikulum di SMK Raja Perernpuan.
Beza di antara bilangan tertinggi dan bilangart terendah ialah 12.
Mar Apr
Diagram 33
Rajah 3 3
The number of activities in the month of February is
Bilangan aktiviti dalam bulan Februari ialah
A7
814
c2t
D28
34 Table 34 shows the frequency score of a game.
Jadual 34 menunjukkan kekerapan skor dalam satu permainan.
a
Score 0 1 2 J 4 5
Frequency 3 4 )
a
5 5 2
Table 34
Jadual 34
Find the mean score.
Cari skor min.
A2
B 2.5
C3
D5
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18. SULIT 18 50/1
35 The pie chart in Diagram 35 shows the results of a sulvey on 1800 students on their favourite
activities.
Carta pai dalqm Rajah 35 menunjukkan keputusan tinjauan terhadap ahiviti kegemoran
1800 orqng pelajar
Reading
Membaca
Surfng the
Internet
Melryari internet
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Diagram 35
Rajah 3 5
Given that the number of students who loves swimming is rwice that of those who love gardening,
find the number of students whose favourite activity is to surf the internet.
Diberi bilangan pelajar yong suka berenang; adalah dua trali ganda merelra yang sulrn berkebun,
cari bilangan pelajar yang suko melayari internet.
A 138 c 690
B 177 D 88s
36 Diagram 36 shows the distribution of marks of a student in a quiz.
Rajah 36 menunjukkon markah t'ang diperolehi oleh seorang pelajar dalam suatu kuiz.
Diagram 36
Rajah 36
Given that the mode is 2, find a possible value of y.
Jika mod adalah 2, cari nilai /-o.ng mungkin bagi y.
A5C3
84D1
37 During a sale. a printer was sold for RM 180.00 after a discount of 20 %. Calculate the cost
price of the printer.
Dalam suatu iualan murah, sebuah mesin pencetak telah dijual dengan harga RML80.A0
selepas 20% potorlgan. Hitungkan harga kos mesin pencetdk itu.
A RM 225.00 c RM 215.00
B Rlvl 200.00 D RM 235.00
38 The ratio of male and female pupils in a school is 3 : 4. The difference between the number of
male and female is 200. Calculate the total number of pupils in the school.
Nisbah murid lelaki dan perempuan di sebuah sekolah ialah 3 : 4. Perbezaan antara bilangan
murid lelaki dan perempuan ialah 200. Hitungkan jumlah murid di sekolah itu.
A 500 c 100c
ts 750 D 1400
5CI11
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19. STILIT 19 ss/l
39 Diagam 39 shows a cone w.ith a radius of 7 crn
Rajah 39 menunjukkan sebuah kon yang *rrrpuorai jejari 7 cm.
Diagram
Rajah
The ctrved surface area of the cone is 220 cmr.
Find the value of x.
Luas permukaan melengkung bagi kon iarart tersebu,t 220 cm2.
Cari nilai bagi x.
A 4cm
B 6cm
C 8cm
D l0cm
40 h Diagram 40, PQR is an equilateral triangle u'ith sides g cm. eS bisects ZRep and ru is an
arc of radius 5 cm. P is the centre of TU
Dalam Rajah 40, PQR ialah segitiga sama dengan setiap sisinya 8 cm.
QS membahagi
dua sama ZRQP dan TIL ialah lengkok t,ang berjejari 5 cm berpusat pada P.
X is a locus of a point such that XP : 5 cm. )' is the locus of a point that moves such that it is
equidistant from RQ and PQ.
Which one of the points A, B, C or D is the intersection of loci X and fl
X ialah lokus pada satu titik dt mana XP : 5 cm. Y ialah lokus pada satu titik yang
bergerak dengan keadaan jaral*tya sama dari Re dan pe.
Antara titik A, B, C atau D yang manaknh persilangan lokus X dan y?
END OT QUESTION PAPER
50/1
KERruS SOAL,AN TAMAT
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21. 50t2
SULIT
MATHEMATICAL FORMULAE
RUMUS MATHEMATIK
The following formulae may be helpful in answering the questions. The symbols given are the ones
commonly used.
Rumus-rumus yong berikut boleh mentbantu anda menjawab soalan. Simhol-simbol yang diberi
adalah yang biasa digunakan..
RtrLATIONS
PERKAITAI,{
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n
1 affiraf,=u**
n
2 affi*ail=am-
a
) (ut)n: affi
4 DistancelJarak: frr, -r,)'+(h -yf
5 Midpoint I Titik Tengah
(x.+x, +/r)
(x,y)=l- -y,
L'2)
"
Average speed - distance travelled
time taken
Purata Laju : -iarak :tang dilalui
masa yang diambil
Mean = sum of data
number of data
Min : hasil tambah nilai data
bilangan data
Pl,thagoras Theorem/ Tborem Pithagorcs
c2:a2'b2
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22. SUI-,IT 3 50t2
SHAPE AND SI'ACE
BENTUK DAN RUAIVG
1 fuea of rectangle : Iength x width
Luas segiempat tepat : panjang x lebcu'
2 Area of triangle = I x base , height
I
Luas segitiga : x tupak x tinggi
:
3 fuea of paralleloEam : base x height
Luas segiempat selari : tapak x tinggi
trapezium : ,
1
4 Area of x suln of parallel sides x height
Luas trapezium : x ha.sil tanthalt clua .sisi selari x ting,gi
;
5 Circumference of circle - nTd : 2 m
Lilitan bulatan : trd : 2r0'
6 Area of circle : rv2
Luas bulatan : /ll'
7 Curved surface arca of cylinder : 2 mh
Luas permukaan melengkung silinder = 2lrlt
8 Surface area of sphere : 4 7v2
Luas permukaan sJbra : 4nl'
9 Volume of right prism - cross sectional area x lengh
Isipadu prisma tegak : luas keratan rentas x panjang
l0 Volume of cuboid - length x width x height
Isipadu kuboid : panjang x lebar x tinggi
11 Volume of cylinder :ttr2h
Isipadu silinder * nr1't
12 Volume of cone - ! *'1,
-i
Isipadu kon: I r',
13 Volume of sphere : * *'
J
4
Isipadu sfuro:
iTTlt
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23. S[LIT 50tz
14 Volume of right pyramid - I
1
x base area x height
I
Isipadu piramid tegak : xluas tapak x tinggi
1
15 Sum of interior angles of a polygorl : (n * 2) x I B0o
Hasil tambah sudut pedalaman poligon : (n - 2) x I80"
16 Arc length = Angle subtended at cenfre
Circumference 360"
Panjano lengkok : Sutlut pusat
Lilitan Bulcrtan 360"
17 sector _ Angle subtended at centre
Area of
circle
Area of 360'
Luas sektor : SgdlLU&I
Luas Bulatan 360"
18 Scale factor I Faktor slulu, k =
#
19 Area of image = kz x area of object
Luas imej -* k2 x luas ob.iek
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24. STILIT )
I
5012
Answer all questions. Iror
Jawab semua soalan. Exantiner's
(Jse
I{irung nitai bagi (, i - - c)an unskapkan iawapan sebugai pecahurt dalam
i) ;
sebtttan terenclah. 12 murksl
l2 markah)
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Answer I Jawupan :
B
(a) Find the value of
27
Cari nilai hagi L
27
(b) Calculatc the value of Ji00 r- 3r
I{itung nilai bagi J00 + 3l 13 mad<sl
13 markahl
Answer I Jawapen :
(a)
(b)
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25. SULIT 6 50t2
For (a) Calculatc the value of - 6.48 + ( - 7.11) _ ( _ 10.se).
Examiner's Hitung nilui bagi - 6.48 + ( _ 7,11) _ ( * 10.se).
Use
(b) Evaluate 7 * (-2 tl * lt0' .
. l,tilaikartT - (-2,1) - + 14 nark,r)
10'
14 markahl
Answer I Jav,apan ..
(a)
1 In DiaEam 4, tiangle PQI{ is drawn on a square grid papcr.
Dalam Raiah 4, segitiga PQR dilukis pacla gricl segientpat sumcr.
Draw the irnage of trimgle PQR tmder a rotation about M tlyough 90" alticlockrvise.
Lttkiskan imej segitiga PQR di bav,ah putctrnn 90" lat+'an aTcth jam pada titik M.
12 mark,sl
12 markahl
50t2
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26. SULTT 5$12
Answer I Jcwapan For
E)xaminer's
Use
4
Diagram 4
Rajah I l---l
I l1l
ll"l
5 Diagram 5 shorvs a polygon ABCDEFG and straight line PQ are drawn on grid equal sq
Rajah 5 rnenuniukkan ,sebuah poligon ABCDEFG dan gari.s lurus PQ dilukis pada
grid sistentpat sama.
Starting from the line PQ, draw polygon PQRSTW which is congntent to polygon ABCDEF
Bermula clengan garis lurus' PQ, lukiskan poligon PQRSTUV yang kongruen denga
ABCDtiIi
12 marks)
12 markahl
Answer I Ju*-apo-n:
50t2
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27. SULIT 5An
For Diaganr 6 in the space shows a quadrilateral JKLMN, drawn on a grid of equal squares.
Examiner's
Use (+ )
On tlre grid, draw and label J'K'I-'M 'N', the image of JKLMN under a hanslation[ _3)
l2 marlrs)
Rajah 6 dalant ruang jawapan rnenunjukkan sisiernpat JKLMN rJilutkis pada grid
segiempat samct.
Pacla gricl, lukis clan labelkun J'K'L'M'N', imej JKLMN diltawah translasi[1 ,)
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l2 markah)
Answer I Jawapan :
N M
%
J L
Diagram 5
Rajah 5
6
f--_l
Ld 5012
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28. SULIT 5012
7 Diagram 7 shorvs thrce tnangles, E Q and ^ll, drawn on a Cartesian plane. For
Rajah 7 nienunjukkan tiga segitiga, P, Q dan R yang clilukis pada satah Cartesiurt. Examiner's
Usc
))
P q
1
6 2 0
/ z
/
a R
/
-{
Diagram 7
Rajah 7
(a) Q is the image of P under a rotation of 90".
State the coordinatc of the centre of the rotation.
Q adalah imej bagi P di bawah putaran 90n.
Nltatakan kocrdinat bagi pusat putaran itu.
(b) R is the imagc of Q under transfomtation V.
Describe in full transformation V. 13 marks)
R ialah iruej bagi Q di bawah penjelmaan Y.
I'Iuraikan clengan selengkapnya per$elmaan Y. 13 markahl
Answer I Jaw,ctpan :
(a)
(b)
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29. SULIT
10
50/2
For Given that a2 - 25 b, express n in terms of b.
Examiner's Di beri bahawa a, [2 marks)
25 = b" Llngkapkan a dalam sebutan
Use b. 12 markoh)
Answer / Jawapan
Solve each of the following equations:
Selesaikan tiap-tiap persomqan berikut;
15
v -) ^
5k
(b) 6_-4
2 13 marks)
13 markah)
Answer I ,/crv,apan
(a)
(b)
r-r
9
I l3l
I ---l
san
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30. SULIT 1t 50t2
10 Factorise compietely: For
Fakt orkon se le ngkatrt nya: Examiner's
(/se
(a) 4ah - 8b
(b) (m -t)(m*2)-6 13 mark)
13 markah)
Answer / Jmuapan:
(a)
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2(m 3)
Grven n- -: 5, express m in term of n. 13 marks)
2(m-3
Diberi -- : i, ungkapkun m dalam sebutan n, 13 rnarknhl
t1
Answer I Jav,apan :
11
san
m
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31. SULIT l2 50t2
For 12 Expand each of the tbllowing expressions:
Examiner's Kembangkan tiap-tictp ungkttpan yung berikut:
Use
(a) m(3 + n)
(b) (5x - 2y)2 13 markl
13 markahl
Answer / Jawapan:
(a)
(b)
5 p+6
13 marks)
a-
IJ
'oq
ITXDTCSS
12 pq
5__p+6
G- ,r?p,
,
Ungkcrpkan sebugtti stttu pecahan tunggctl clalotn bentuk termudah.
13 markah)
Ansu'er I Ja*,apan
13
[_]
l_-tI
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32. SULIT 13 san
14 Factorise completely: For
Fakt orkan s el engkap nlts : Exantiner b
Use
5ru2 - 80 l2 marks)
12 markahl
Ansrver I Jawapan :
l5 lable 15 shows the donations
received by u chariry*' orgzu'rization over a five day duration.
Jadual ! 5 menunjukkun sumbangan yang diterima oleh pertubuhan amal dalam
tempoh lima hari.
Du)' I Monday' Tuesday Wednesday Thursday Friday
Hari I l.snin Selasa Rabu Khamis Jumaat
f)onation i
Sumbangan | 250 150 200 t25 100
(RM) I
Table 15
Jadual l5
(a) On Diagram 15 in the answer space, draw a line Eaph to represent all the information
in Table 15.
Use a scale of 2 cnr to I{M50 on the vcrtical axis,
Pada Rajah 15 di ruang jawapan, lukiskan satu graf garis untuk mev,akili semua
maklumat dalam Jadual I 5.
Gunakan skala 2 c:m kepada RM50 pada paksi mencancang.
(b) State the mode [5 marlcs]
Nyatakan mod. 15 markahl
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33. SULIT 14 5012
For Answer I Jutvopan :
Examiner's
(Jse (a)
Donation (RM)
Sumbctngun (RM)
.-ii
::J i i-r " t-i'
.l .t .j
I, i il
i-l
-l i-.,--+
i
:ix !t
-i-r :i-r
#-+ rl
,rtill
-l
I
I [l-i it" -*r.
-**I.-.-.-- I J- i -i-.1 r++q+l-+f
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*l
:": iiT; i i_a i ! 1.. i i'
.iiitili
->-+ -t--i+-+-+*-r.
:liill:r
' r- -
:''i-t-r
:.i.:
..,*!-t.-l-.i-.:.
I
I
i
itt|i]
-l-r*t._ 1-+-1-;t-+-
.,
._.-..-**j
--i ...-..-:..i ::_: :":I *. ]+-i-'L l+,
i-+-1-
' !i . -: i i.. | - l
:-f l I I i i i;
+--i- l-i-:- i
' i- t
' -:----'f --':'
- --r- -- --!'
j
: il
' .-: - it - l * -.1 i. - .i- i--L
- ::'' ": -r-t+,ij-Li
: 1i-"1-l*i-i-i-i
,:t
i"'i'r'..r-i-
. !-i-.:*
" :
+- i--i-..--.
r-i-:-.*:-
1*i. j-
-:--h'*,i i-'r- !"-
i-r i
!l
ti
,.1 - !-1
ir i!
.I i- iii
1,,,i'i +-i-i-i i-f-
-I-T
f-'- t ' i-:"* ri-r'
':-r -t-'-1*- '-.' t.-:":
.i-....i....i..-!.*i.. -.-..1....L..i :::;ir";-i::-i -{-t.-l+-
+-.F--i-+-+.*1"--)-
Day
Monday 'lircsday /ecinescla.v- 'l'husda-v" Fridny'
Iiari
Isnin ,elustr llubu Khumis' .lumctul
Diagmm 15
Rujah l5
(b)
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34. SULIT 15 50t2
16 (a) Diagam 16.1 shou,s a triangle pelt. For
Rajah l6,l menunjukkan sebuah,;egitiga peR. Examiner's
[Jse
Diagram 16.1
Rajah 16. I
Measure ZPQR using a protractor.
Ukttr ZPQR elengun ntenggunakan protraktor.
(b) DiaEam 16.2 shorvs n parallelogram AIICD.'I-he point E iies on AB such that DE
is
perpendicular to AB.
LIsing only a ruler aud a pair of compasses, construct Diagram 16.2, beginning from
the lines AB and I3c provided in the ansrvcr space.
Rajah 16,2 menttnfttkkan suatu segiempat .selari ABCD. Titik E terletak pada AB
dengan keadaun DE adalrh berserenjang c)engan AB.
Menggunakan Ttentbaris dan jangka luki.s scthaja, bina Rajah 16.2, bermula
dengan garis AB dun llc, yang disediakan di ructng.fawcrpan.
B
Diagram 16.2
Ra.iah I 6.2
[6 marl<s]
16 markah)
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35. STILIT 16 s0t2
For Answer I Jctwopon
Exqminer's
Use (a)
(b)
17 Diagram 17 in the arsu/er space shows four squares, POQR,
QORC:, ROSD and SOpA.
K, L and M are three moving points in the diagram.
Rajah 17 di ruang juwapan menunfukkan etnpat buah segiempat .s,untu, pOeB,
QORC,,ROSD dan SOPA.
K, L dan M ialah tiga titik yang bergerak di dalant rajah iru.
(a) K is the point which moves such that it is equidistant frorn the lile lD and line BC
By using the letters in the diagram, state the rocus of K.
K ialah titik yang bergerak clengctn keaclaan jaraknya arJalcth sonto dari garis
AD dan garis BC.
Dengan menggunakan huruJ'abjad pada rajah itu, nyatakan lokus bagi K.
(b) On Diagram 17, draw
P ada Rai ah I 7 , luki,s'
(i) the locus of L such that l,O : 2 cm,
lokus L clengan keaclaun LO : 2 cn1,
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36. SULIT 17 s0t2
(ii) the locus of M such that its distance from point B and point D is the same. For
lokus fu[ dengun keadaan jaraknya aclalah sama dari titik B dan titik D. Examiner's
Use
(c) Hence, mark wrth the symbol I all thc points of interscction of the locus of
and the I
locus of M. marks)
15
Seterusnya, tandakun dengan simbol & kedudukan bagi semua persilangan lokus
L dan lokus M itu. 15 markahl
Answer I Jctwapan '.
(a)
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(b) (i), (ii)
(c)
Diagram 17
Rajah l7
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37. STJLIT 18 50t2
For Given that 2x-t
Examiner b
3 - 27 , cal,culate the value of x.
[2 marks)
Use Diberi 3 2x-r = 27 , hitung nilai bagi x.
12 markahl
(a) Simpt&
Qo'u)'
Permudahkan
Qo'U)'
(b) Find the value of I * rr) . markl
3 13
Csri nilai bagi.:i ,
n; [3 markah]
Answer I Jawapan :
(a)
o)
19
L_tr
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38. STILIT 19 saD
Z0 Diagram 20 show right angled triangle PQS.QRS is a straight line.
Raiah 20 menuniukkan segitiga bersudut tegak PQS. QRS adalah garis lurus. For
Examiner
Use
9cm
R 8cm
Diagram 20
Rajah 20
Calculate in cm, the length of RS. l2marlcsl
Hitung panjang RS, dalam cm, 12 markah)
Answer I Jawapan :
2A
50t2
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