SPM-Add-Maths-Formula-List-Paper1-1

ONE-SCHOOL.NET

SPM Additional Mathematics Formula List for Paper 1

ALGEBRA

1 x = −b± b2 − 4ac 8 loga b = logc b
2a logc a

2 am x an = a m + n 9 Tn = a + (n – 1)d

3 am ÷ an = a m – n n
2
4 ( am )n = a m n 10 Sn = [2a + (n −1)d ]

5 loga mn = loga m + loga n 11 Tn = ar n – 1

( ) ( )12
log a m log a log a a rn −1 a 1− r n
n r −1 1− r
6 = m − n Sn = = , r ≠1

7 log a mn = n log a m 13 S∞ = a , r <1
1− r

CALCULUS (KALKULUS)

1 y = uv , dy = u dv + v du 4 Area under a curve
dx dx dx (Luas di bawah lengkung)

b or (atau)

= ∫a y dx

2 y= u , dy = v du − u dv b
v dx dx dx
v2 = ∫a x dy

3 dy = dy × du 5 Volume generated (Isipadu janaan)
dx du dx
∫= b πy 2 dx or (atau)
a

∫= b πx 2 dy
a

TRIGONOMETRY (TRIGONOMETRI)

1 Arc length , s = r θ 3 a A = b B = c
Panjang lengkok, s = j θ sin sin sin C

2 Area of sector, A = 1 r 2θ 4 a2 = b2 + c2 – 2bc cos A
2 a2 = b2 + c2 – 2bc kos A

Luas sektor, 1 j 2θ 5 Area of triangle (Luas segitiga)
2
L = = 1 a b sin C
2

http://www.one-school.net/notes.html

ONE-SCHOOL.NET

STATISTICS (STATISTIK)

1 x = Σx ⎜⎛ 1 N − F ⎞⎟
N ⎜ 2 ⎟C
5 m = L +
2 x = Σ fx ⎝⎜⎜ f m ⎟⎟⎠
Σf
6 I = Q1 × 100
3 σ = Σ(x − x )2 = Σx2 − x 2 Q2

NN 7 I = ΣWi Ii
ΣWi

4 σ = Σ f (x − x )2 = Σ fx2 − x 2

Σf Σf

GEOMETRY (GEOMETRI)

1 Distance (Jarak)

= (x1 − x2 )2 + (y1 − y2 )2

2 Mid–point (Titik tengah)

(x, y) = ⎛⎜ x1 + x2 , y1 + y2 ⎞⎟
⎝ 2 2 ⎠

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

(x , y)=⎛⎜ nx1 + mx2 , ny1 + my2 ⎟⎞

⎝ m+n m+n ⎠

4 Area of triangle (Luas segitiga)

( )( )=1
2 x1 y2 + x2 y3 + x3 y1 − x2 y1 + x3 y2 + x1 y3

http://www.one-school.net/notes.html