2. SULIT 2 1449/2
MATHEMATICAL FORMULAE
RUMUS MATEMATIK
The following formulae may be helpful in answering the questions. The symbols given are the ones
commonly used.
Rumus-rumus berikut boleh membantu anda menjawab soalan. Simbol-simbol yang diberi adalah
biasa digunakan.
RELATIONS
PERKAITAN
1 am × an = am + n 10 Pythagoras Theorem
Teorem Pithagoras
2 am ÷ an = am − n c2 = a2 + b2
n ( A)
3 (a m ) n = a mn 11 P ( A) =
n (S )
d − b
4 A−1 =
1
ad − bc − c a
12 ( )
P A ' = 1 − P ( A)
y − y1
5 Distance / jarak 13 m= 2
x 2 − x1
= (x2 − x1 )2 + ( y 2 − y1 )2
y − intercept
6 Midpoint / Titik tengah 14 m=−
x − intercept
(x , y ) =
x1 + x 2
,
y1 + y 2
m=−
pintasan − y
2 2 pintasan − x
distance travelled
7 Average speed =
time taken
jarak yang dilalui
Purata laju =
masa yang diambil
sum of data
8 Mean =
number of data
hasil tambah nilai data
Min =
bilangan data
sum of (classmark × frequency )
9 Mean =
sum of frequencies
hasil tambah (nilai titik tengah kelas × kekerapan )
Min =
hasil tambah kekerapan
1449/2 2010 Hak Cipta Bahagian Pendidikan & Latihan (Menengah) MARA SULIT
3. SULIT 3 1449/2
SHAPES AND SPACE
BENTUK DAN RUANG
1
1 Area of trapezium = × sum of parallel sides × height
2
1
Luas trapezium = × hasil tambah sisi selari × tinggi
2
2 Circumference of circle = πd = 2πr
Lilitan bulatan = πd = 2πj
3 Area of circle = πr 2
Luas bulatan = πj 2
4 Curved surface area of cylinder = 2 π rh
Luas permukaan melengkung silinder = 2 π jt
5 Surface area of sphere = 4 π r2
Luas permukaan sfera = 4 π j2
6 Volume of right prism = cross sectional area × length
Isipadu prisma tegak = luas keratan rentas × panjang
7 Volume of cylinder = π r2h
Isipadu silinder = π j2t
1
8 Volume of cone = π r 2h
3
1
Isipadu kon = π j 2t
3
4 3
9 Volume of sphere = πr
3
4
Isipadu sfera = π j3
3
1
10 Volume of right pyramid = × base area × height
3
1
Isipadu piramid tegak = × luas tapak × tinggi
3
11 Sum of interior angles of a polygon
Hasil tambah sudut pedalaman poligon
= (n − 2 ) × 180 o
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4. SULIT 4 1449/2
arc length angle subtended at centre
12 =
circumference of circle 360 o
panjang lengkuk sudut pusat
=
lilitan bulatan 360 o
area of sector angle subtended at centre
13 =
area of circle 360 o
luas sektor sudut pusat
=
luas bulatan 360 o
PA'
14 Scale factor, k =
PA
PA'
Faktor skala, k =
PA
15 Area of image = k2 × area of object
Luas imej = k2 × luas objek
1449/2 2010 Hak Cipta Bahagian Pendidikan & Latihan (Menengah) MARA SULIT
5. SULIT 5 1449/2
BLANK PAGE
HALAMAN KOSONG
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1449/2 2010 Hak Cipta Bahagian Pendidikan & Latihan (Menengah) MARA SULIT
33. SULIT 1449/2
INFORMATION FOR CANDIDATES
MAKLUMAT UNTUK CALON
1. This question paper consists of two sections: Section A and Section B.
Kertas soalan ini mengandungi dua bahagian: Bahagian A dan Bahagian B.
2. Answer all questions in Section A and four questions from Section B.
Jawab semua soalan dalam Bahagian A dan mana-mana empat soalan daripada
Bahagian B.
3. Write your answers in the spaces provided in the question paper.
Tulis jawapan anda pada ruang yang disediakan dalam kertas soalan ini.
4. Show your working. It may help you to get marks.
Tunjukkan kerja mengira anda. Ini boleh membantu anda untuk mendapatkan markah.
5. If you wish to change your answer, cross out the answer that you have done. Then write
down the new answer.
Jika anda hendak menukar jawapan, batalkan jawapan yang telah dibuat. Kemudian
tulis jawapan yang baru.
6. The diagrams in the questions provided are not drawn to scale unless stated.
Rajah yang mengiringi soalan tidak dilukis mengikut skala kecuali dinyatakan.
7. The marks allocated for each question and sub-part of a question are shown in brackets.
Markah yang diperuntukkan bagi setiap soalan dan ceraian soalan ditunjukkan dalam
kurungan.
8. A list of formulae is provided on pages 2 to 4.
Satu senarai rumus disediakan di halaman 2 hingga 4.
9. A booklet of four-figure mathematical tables is provided.
Sebuah buku sifir matematik empat angka disediakan.
10. You may use a non-programmable scientific calculator.
Anda dibenarkan menggunakan kalkulator saintifik yang tidak boleh diprogram.
11. Hand in this question paper to the invigilator at the end of the examination.
Serahkan kertas soalan ini kepada pengawas peperiksaan pada akhir peperiksaan.
1449/2 2010 Hak Cipta Pendidikan & Latihan (Menengah) MARA SULIT