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SPM Additional Mathematics Formula List for Paper 1
ALGEBRA
− b ± b 2 − 4ac
2a
1
x=
2
am x an = a m + n
3
am ÷ an = a m – n
log a b =
9
Tn = a + (n – 1)d
n
[2a + (n − 1)d ]
2
10 S n =
4
(a ) =a
5
log a mn = log a m + log a n
6
log a
7
log a mn = n log a m
m n
mn
m
= log a m − log a n
n
log c b
log c a
8
11
Tn = ar n – 1
12
Sn =
13
S∞ =
(
)
(
)
a r n −1 a 1− r n
=
, r ≠1
r −1
1− r
a
,
1− r
r <1
CALCULUS (KALKULUS)
1
y = uv ,
dv
du
dy
=u
+v
dx
dx
dx
v
2
u dy
y= ,
=
v dx
3
dy dy du
=
×
dx du dx
4
du
dv
−u
dx
dx
v2
5
Area under a curve
(Luas di bawah lengkung)
=
∫
=
∫
b
a
b
a
y dx
or (atau )
x dy
Volume generated (Isipadu janaan)
=
=
∫
∫
b
a
b
a
πy 2 dx
or (atau )
πx 2 dy
TRIGONOMETRY (TRIGONOMETRI)
1
2
Arc length , s = r θ
Panjang lengkok, s = j θ
Area of sector,
A=
Luas sektor, L =
1 2
r θ
2
1 2
jθ
2
http://www.one-school.net/notes.html
3
a
b
c
=
=
sin A sin B sin C
4
a2 = b2 + c2 – 2bc cos A
a2 = b2 + c2 – 2bc kos A
5
Area of triangle (Luas segitiga)
=
1
a b sin C
2
ONE-SCHOOL.NET
STATISTICS (STATISTIK)
1
x=
Σx
N
5
2
x=
Σ fx
Σf
6
3
σ=
Σ( x − x )
=
N
2
Σx 2
−x2
N
Σ f (x − x )
4 σ=
=
Σf
2
⎛1
⎞
⎜ N −F⎟
⎟C
m=L+⎜2
⎜ fm ⎟
⎜
⎟
⎝
⎠
Q
I = 1 × 100
Q2
7
I=
Σ Wi I i
Σ Wi
Σ fx 2
−x2
Σf
GEOMETRY (GEOMETRI)
1
Distance (Jarak)
(x1 − x 2 )2 + ( y1 − y 2 )2
=
2
Mid–point (Titik tengah)
(x, y ) = ⎛⎜ x1 + x2 , y1 + y 2 ⎞⎟
⎝
3
2
2
⎠
A point dividing a segment of a line
(Titik yang membahagi suatu tembereng
garis)
(x , y ) = ⎛⎜ nx1 + mx2 , ny1 + my 2 ⎞⎟
⎝
4
m+n
m+n
⎠
Area of triangle (Luas segitiga)
=
1
2
(x1 y 2 + x 2 y3 + x3 y1 ) − (x2 y1 + x3 y 2 + x1 y3
http://www.one-school.net/notes.html
)