pt3

1. RUMUS MATEMATIK / MATHEMATICAL FORMULAE 1
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 yang biasa digunakan.
PERKAITAN / RELATIONS
1. n
m
n
m
a
a
a 


2. n
m
n
m
a
a
a 


3. mn
n
m
a
a 
)
(
4. Distance / Jarak
= 2
1
2
2
1
2 )
(
)
( y
y
x
x 


5. Midpoint/ Titik tengah





 


2
,
2
)
,
( 2
1
2
1 y
y
x
x
y
x
6. Average speed
=Distancetraveled
Time taken
𝑃𝑢𝑟𝑎𝑡𝑎 𝑙𝑎𝑗𝑢
=
𝐽𝑎𝑟𝑎𝑘 𝑦𝑎𝑛𝑔 𝑑𝑖𝑙𝑎𝑙𝑢𝑖
𝑀𝑎𝑠𝑎 𝑦𝑎𝑛𝑔 𝑑𝑖𝑎𝑚𝑏𝑖𝑙
7. Mean = sum of data .
number of data
Min = hasil tambah nilai data
bilangan data
8. Mean =sum of(classmark  frequency)
sum offrequencies
Min =hasil tambah (nilai titik tengah kelas  kekerapan)
hasil tambah kekerapan
9. Pythagoras’Theorem/
Teorem Pythagoras
𝑐2 = 𝑎2 + 𝑏2
10. Probability of an event
Kebarangkalian suatu peristiwa
)
(
)
(
)
(
S
n
A
n
A
P 
11. Complement of an event
Peristiwa Pelengkap
)
(
1
)
'
( A
P
A
P 

12.
Gradient, m =
vertical distance
horizontal distance
Kecerunan, m =
jarak mencancang
jarakmengufuk
1
2
1
2
x
x
y
y
m



13. m = _ y-intercept
x-intercept
m = _ pintasan-y
pintasan-x
14. I = Prt
15. MV = P (1 +
r
n
)nt
16. A = P + Prt

2. BENTUK DAN RUANG / SHAPES AND SPACE 2
1. Area of rectangle =Length × Width / Luas segi empat tepat = Panjang ×Lebar
2. Area of triangle =
1
2
× Base ×Height / Luas segi tiga =
1
2
×Tapak ×Tinggi
3. Area of parallelogram =Base ×Height / Luas segi empat selari = Tapak ×Tinggi
4. Area of trapezium = 
2
1
sum of parallel sides  height = 
2
1
hasil tambah dua sisi selari  tinggi
5. Circumference of circle = d = 2r / Lilitan bulatan = d = 2j
6. Area of circle =  2
r / Luas bulatan =  2
j
7. Curved surface area of cylinder = 2rh / Luas permukaan melengkung silinder = 2jt
8. Surface area of sphere = 4 2
r / Luas permukaan sfera = 4 2
j
9. Volume of right prism = cross sectional area  length
Isipadu prisma tegak = luas keratan rentas  panjang
10 . Volume of cuboid =Length ×Width ×Height
Isipadu kuboid = Panjang ×Lebar × Tinggi
11. Volume of cylinder =  h
r2
/ Isipadu silinder =  t
j2
12. Volume of cone =
3
1
 h
r2
/ Isipadu kon =
3
1
 t
j2
13. Volume of sphere =
3
4
 3
r / Isipadu sfera =
3
4
 3
j
14. Volume of right pyramid = 
3
1
base area  height
Isipadu piramid tegak = 
3
1
luas tapak  tinggi
15. Sum of interior angles of polygon =
o
n 180
)
2
( 

Hasil tambah sudut pedalaman polygon =
o
n 180
)
2
( 

16. arc length  angle subtended at centre
circumference of circle 360
panjang lengkok = sudut pusat
lilitan bulatan 360
17. area of sector = angle subtended at centre
area of circle 360
luas sektor = sudut pusat
luas bulatan 360
18. Scale factor,
PA
PA
k
'

Faktor skala,
PA
PA
k
'

19. Area of image = 
2
k area of object
Luas imej = 
2
k luas objek