rumus matematik spm k2

MATHEMATICS FORMULAE IN SPM EXAM PAPER 2
The following formulae may be helpful in answering the questions. The symbols given are
the ones commonly used.

RELATIONS

1 am  an  amn

2 am  an  amn

3 (am )n  amn

4 A1  ad 1 bc  d b 
 c a

5 P(A)  n(A)
n(S )

6 P(A')  1 P(A)

7 Distance = (x1  x2 )2  ( y1  y2 )2

8 Midpoint, (x, y)   x1  x2 , y1  y2 
2 2

9 Average speed = distance travelled
time taken

10 Mean = sum of data
number of data

11 Mean = Sum of ( class midpoint frequency)
sum of frequencies

12 Pythagoras Theorem c 2  a 2  b 2
13 m  y2  y1

x2  x1
14 m   y  intercept

x  intercept

SHAPES AND SPACE
1 Area of trapezium = 1 sum of parallel sides  height

2
2 Circumference of circle =  d  2 r

3 Area of circle =  r2

4 Curved surface area of cylinder = 2 rh

5 Surface area of sphere = 4 r2

6 Volume of right prism = cross sectional area  length

7 Volume of cylinder = r2h

8 Volume of cone = 1r2h
3

9 Volume of sphere = 4r3
3

10 Volume of right pyramid 1
=  base area x height

3

11 Sum of interior angles of a polygon = (n  2) 180

12 arc length  angle subtended at centre

circumference of circle 360

13 area of sector  angle subtended at centre
area of circle 360

14 Scale factor, k  PA'
PA

15 Area of image = k 2  area of object