SENARAI RUMUS

RUMUS MATEMATIK
MATHEMATICAL FORMULAE
Rumus-rumus berikut boleh membantu anda untuk menjawab soalan. Simbol-simbol yang diberi adalah yang biasa
digunakan.

The following formulae may be helpful in answering the questions. The symbols given are the ones commonly used

1 am  an = am+n NOMBOR DAN OPERASI
3 (am )n = amn NUMBERS AND OPERATIONS

2 am  an = am−n

4 1

= ( )

5 Faedah mudah / Simple interest, I =Prt

6 Nilai matang/ , = (1 +

)

7 Jumlah bayaran balik / Total repayment, A = P + Prt

PERKAITAN
RELATIONS

1 Jarak / Distance = (x2 − x1)2 + ( y2 − y1)2

2 Titik Tengah / midpoint ( x, y) =  x1 + x2 , y1 + y2 
 2 2 

3 jarak yang dilalui

Purata laju =
masa yang diambil

Average speed = distance travelled
time taken

4 m = y2 − y1
x2 − x1

5 m = − pintasan-y
pintasan-x

m = − y-intercept
x-intercept

6 A−1 = 1 d −b 
−  
ad bc  −c a 

SUKATAN DAN GEOMETRI
MEASUREMENT AND GEOMETRY

1 Teorem Pythagoras / Pythagoras Theorem c2 = a2 + b2

2 Hasil tambah sudut pedalaman poligon / Sum of interior angles of a polygon
= (n – 2)  180o

3 Lilitan bulatan = d = 2j
Circumference of circle = d = 2r

4 Luas bulatan = j 2
Area of circle = r 2

5 Panjang lengkok 
2 = 360°

Arc length 
2 = 360°

6 Luas sektor 
 2 = 360°


 2 = 360°

7 1
Luas lelayang = 2 × hasil darab panjang dua pepenjuru
1
= 2 ×

8 Luas trapezium = 1  hasil tambah dua sisi selari  tinggi
2

Area of trapezium = 1  sum of parallel sides  height
2

9 Luas permukaan silinder = 2  j2 + 2  jt
Surface area of cylinder = 2  r2 + 2  rh

10 Luas permukaan kon =  j2 +  js
Surface area of cone =  r2 +  rs

11 Luas permukaan sfera = 4j 2
Surface area of sphere = 4r 2

12 Isipadu prisma tegak = luas keratan rentas  tinggi
Volume of right prism = cross sectional area  height

13 Isipadu silinder =  j2t
Volume of cylinder =  r2h

Isipadu kon = 1 π j2t
14 3

Volume of cone = 1 π r2h
3

Isipadu sfera = 4 π j3
15 3

Volume of sphere = 4 π r3
3

Isipadu piramid tegak = 1  luas tapak  tinggi
3
16 Volume of right pyramid = 1  base area  height

3

Faktor skala, k = PA'
17 PA

Scale factor, k = PA'
PA

18 Luas imej = k2  luas objek
Area of image = k2  area of object

STATISTIK DAN KEBARANGKALIAN
STATISTICS AND PROBABILITY


1 Min / , ̅ =


2 Min / , ̅ =

3 Varians / , 2 = ( − ̅)2 =  2 − ̅ 2


Varians / , 2 =  ( − ̅)2 =  2 − ̅ 2

4

5 Sisihan piawai / ,  = √( − ̅)2 = √ 2 − ̅ 2


Sisihan piawai / ,  = √ ( − ̅)2 = √ 2 − ̅ 2

6

7 P( A) = n( A)
n(S )

8 P( A ') = 1− P( A)