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SPM Additional Mathematics Formula List for Paper 1

ALGEBRA

1 a

acbbx2

42 −±−= 8

abb

c

ca log

loglog =

9 Tn = a + (n – 1)d

10 [ ]dnanSn )1(22

−+=

2 am x an = a m + n

3 am an = a m – n ÷ 4 ( am )n = a m n

5 nmmn aaa logloglog += 11 Tn = ar n – 1

6 nmnm

aaa logloglog −= 12 ( ) ( ) 1,

11

11

≠−−

=−

−= r

rra

rraS

nn

n

7 log a mn = n log a m 13 1,1

<−

=∞ rr

aS

CALCULUS (KALKULUS)

1 y = uv , dxduv

dxdvu

dxdy

+= 4 Area under a curve (Luas di bawah lengkung)

( )∫=b

aatauordxy

2 2,

vdxdvu

dxduv

dxdy

vuy

−==

∫=b

adyx

3 dxdu

dudy

dxdy

×=

5 Volume generated (Isipadu janaan)

( )

dyx

atauordxyb

a

b

a

2

2

π

π

∫

∫=

=

TRIGONOMETRY (TRIGONOMETRI)

1 Arc length , s = r θ Panjang lengkok, s = j θ

3 C

cB

bA

asinsinsin

==

4 a2 = b2 + c2 – 2bc cos A a2 = b2 + c2 – 2bc kos A 2 Area of sector, θ2

21 rA =

Luas sektor, θ2

21 jL =

5 Area of triangle (Luas segitiga)

= Cba sin21

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STATISTICS (STATISTIK)

1 Nxx Σ

= 5 Cf

FNLm

m ⎟⎟⎟⎟

⎠

⎞

⎜⎜⎜⎜

⎝

⎛ −+= 2

1

2 ffxx

ΣΣ

= 6 1002

1 ×=QQI

3 ( ) 2

22

xNx

Nxx

−Σ

=−Σ

=σ 7 i

ii

WIWI

ΣΣ

=

4 ( ) 2

22

xf

fxf

xxf−

ΣΣ

=Σ

−Σ=σ

GEOMETRY (GEOMETRI)

1 Distance (Jarak)

= ( ) ( )221

221 yyxx −+−

2 Mid–point (Titik tengah)

( ) ⎟⎠⎞

⎜⎝⎛ ++

=2

,2

, 2121 yyxxyx

3 A point dividing a segment of a line (Titik yang membahagi suatu tembereng garis)

( ) ⎟⎠⎞

⎜⎝⎛

++

++

=nm

mynynm

mxnxyx 2121 ,,

4 Area of triangle (Luas segitiga)

= ( ) ( )31231213322121 yxyxyxyxyxyx ++−++

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